Sixth Grade Summer Math Packet - · PDF fileSixth Grade Summer Math Packet -----June, 2011...
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Name Students Entering Sixth Grade Summer Math Packet --------------
Transcript of Sixth Grade Summer Math Packet - · PDF fileSixth Grade Summer Math Packet -----June, 2011...
Name
Students Entering
Sixth Grade
Summer Math Packet
--------------
June, 2011
Dear Parents,
The attached packet provides a range of activities that review and expand on the math concepts your child has learned in school this past year. It is designed to be worked on for 15 to 30 minutes a day throughout the summer, rather than completed in just a few days at the beginning or end of summer. The goal is to keep skills sharp to be ready to move forward into the next school year. We have provided answers for grades 3-6 and ask you to please review the work with your child as it is completed. Students will be asked to hand in their completed work the first week of school.
Have a great summer!
The Seacrest Staff
Table of Contents
• Adding and Subtracting Decimals
., Multiplying with Decimals
., Dividing with Decimals
• I nterpreti ng Data
• Geometric Ideas
• Measuring and Drawing Angles
• Adding and Subtracting Fractions
• Adding Mixed Numbers
• Subtracting Mixed Numbers
., Multiplying Fractions
• Multiplying Mixed Numbers
• Problem Solving Strategies
• Measurement-Customary & Metric
• Perimeter
• Area • Ration and Proportion
• Fractions, Decimals, and Percents
• Probability
• Critical Thinking Activities
)'. Name ______________________________________ _ Review
2 Adding and Subtracting Decimals
Find 1.7 + 2.45.
Line up the decimal points.
t 1
1 . 7 1 . 7 0 ~ Write zeros to
+ 2.45 + 2. 4 5 show place value.
4.1 5 + Place decimal point
in answer.
Find each sum or difference.
1. t
2.65 +13.30
5. 8 . 97 + 66
t 2. 1 4.1 0
- 3.05
6. 1 00 0.22
9. -15.4 ~ 8 = __ _
11. 1.34 + 4.1 = __ _
13. 448 + 1.75 + 80.3 = __ _
Find 36.57 - 4.6.
Line up the decimal points.
t 5 15
3 6 . 5 7 3 ¢ . ~. 7 Write zeros to - 4. 6 - 4. 6 0 ~ show place value.
31 .97
3. 744 + 36.2
7. 6.8 +237.29
+ Place decimal point in answer.
4. 9 - 0.6
8. 0.5 - 0.23
10.3 -2.54 = __ _
12. 133.01 - 5.6 = __ _
14. 12.3 + 0.61 + 100 = ---,--__
15. On the 3-days of their vacation, the Davis family travel~d 417 mi, 45.3 mi, a'nd 366.9 mi. How far' did they travel. all together?
16.. Etta bought a calculat,or for $15. Glenn ,found th'e ' s~me model for $9.79. How much more did Etta. pay than Glenn did?
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4 Multiplying with Decimals
Find 4.3 x 2.7.
Multiply as you would with whole numbers.
2
4.3 x 2.7
301 860
1 1 61
Count the number of decimal places in both factors. The total is the number of decimal places in the product.
4.3 -+
x 2.7 -+
11.61 -+
1 decimal place + 1 decimal place
2 decimal places
Find each product.
1. 1 4 x 8.8
1 1 2 1 120
5. 2.1 5 x 8.3
2. 1.6 X9
6. 3.3 X 0.1 2
3. 0.4 X 3.2
7. 0.51 X 4.2
9. 23 X 0.47 = __ _ 10. 0.9 X 5 = __ _
12= 0.8 X 0.11 = __ _ 13. 20 X 20.2 = __ _
15. A roll of paper towels contained 250 sheets.
4. 0.05 x 0.3
8. 1 .35 x 1 3
11. 168 X 2.25 = __ _
14 .. 4.9 X 0.3 = __ _
Each sheet was 8.75 inches lang., How long was the roll?
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Dividing with Decimals
Find 36.8 -;- 16.
t 2.
1 6)3-6 . 8
Place the deoimal point.
2 -+ Think: 20)40
2.3 1 6)3 6 . 8
-3 2 Multiply 2 x 16.
6
4 8 Subtract. Bring down 8. Try 2 in the quotient. -~ Multiply 3 x 16.
o Subtract.
9. 269.12 -;- 8 = __ _ 10. 311.56 -+ 4 = __ _
11. 2,229.62 -;- 46 = __ _ 12. 1,449.09 -+ 81 =:= __
'1;3. A photographer bought 36 rolls of film for $136.44. What was the price of one roll?
14. Four students each ran 100 m in a'400-m relay race. The' t~am's total time was 49.44 sec. Find the average time of each runner.'
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Interpreting 'Data
The bar graph shows the lengths in miles of the Great Lakes. Lengths of bars represent lengths of lakes.
Which is the shortest Great Lake?
The shortest lake is Lake Ontario.
Use the graphs to answer each question.
1. How rnany archers scored 4 buil's eyes?
2. What was the most common number of bull's-eyes scored?
Number of Houses Sold 40 ···· .... · .... i· .... · .... ·T· .. · ...... T· .......... r·· .. · .... · .. r ........ ·· .. r ...... · .. '1'· .. ··· .. ···1
Q3 30' ::::::::::::[:::=:.::::I:.::::::::.:l:::::::::::::i:::~:':::::r::::::::::::f::::~::::::!:::::::::::::l -g ')() .......... J ........... .L .......... .L ..... .J ............ L .... : ..... ~ ............ L. ...... ../
~ :: t:~:-~t:=!::~~~i~=-:l--~:I=:=~+4:-1 Jan Feb Mar Apr May Jun Jul Aug
Month
5. Which grades raised about the same' amount for the school book drive?
6. The SChool's goal was to r~iise $1 ,600. About how much did they raise in all?
Review
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Lengths of the Great Lakes .................................................................................... , 500
I ........ ·· .......... ·· .. ·· .... · .. · .. · .. · ...... · ...... · .... ···· .... · .... ·· .......... ·· ................... _ ............. _ ............... _ ....... ;
400' ...... · .. · .. · ...... · .... ·· ...... ·:··· .. · .. · ........ ·· ............................ · .............. · .... ·· .... ····· ...... · .. ·· .. -.... · .. ··· ...... i
I 300 .c g> 200 <D
-:l 100
o Superior Michigan Erie Huron Ontario
Lake
Archery Results x
x x x x x x x x x x x x x x x
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Number of Bull's-eyes Scored
3. In which month were the most houses . sold?
4. In which. month were about the sam.e number soid as were said in August?
School Book Fund Drive 500··· .. ·· .... ··· .. --·------·· .. -··· .. · .. · .... ·-.. · .. ····· .. ·· .. ·-.. · ............. ,
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Geometric Ideas • A line is a straight path of points
that goes on forever in two ~~
directions. Examples: AS,. GK.
• A ray is a part of a line with one endpoint, extending forever in only one direction.
~~
Examples: FD, FB.
• A· line segment is part of a line with two endpoints. Examples: CF, MO.
• A midpoint is the point halfway between the endpoints of a line segment. Example: Point L is halfway between points J and M on JM.
A
B
e Congruent line segments are ·Iine segments that have the same length. Example: OR is congruent to. ST.
• Parallel lines are in the same plane but do not intersect. ~ ~
Example: AS is parallel to BT. ; U 4d
Use the diagram. at the right. Name the following~
1. three line segments
2. two parallel lines
~
3. two lines that intersect DT
4. two congruent line segments
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5. two lines perpendicular to BR
6. two midpoints of line segments
Use with Lesson 9 .. 1. 1 01
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Measuring and rawin~ ngles R 9 .. 2
How to measure an angle:
Step 1 Place the protractor's center on the angle's vertex.
step 2 Place the 0° mark on one side of the angle.
N
LMN = 60°
Step 3 Use the scale beginning with the 0° mark to read the measurement where the other side of I the angle crosses the protractor.
How to draw an angle:
Draw an angle of 52°.
Step 1 Draw a ray.
Step 2 Place the protractor's center on the endpoint. Line up the ray with the 0° mark.
Step 3 Using the scale with the 0° mark, place a point at 52°.
Step 4 Draw the other ray.
c
LABC = 52°
Classify each 'angle as acute, right~ obtuse, or straight. Then measure the angle.
1.
/ L
Draw an angle with each measure.
3. 45°
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10 Adding and Subtracting Fractions
F' d 2 1 In 3 + 6'
31~ 9 12 15 Multiples of 3
C6) 12 18 24 30 Multiples of 6
F' d 1 1 In 4 - 5'
4. 8. 12 16 @ Mu'ltiples of 4
5.1015 @ 25 Multiples of 5
The least common denominator is 6. The least common denominator is 20.
~ = ~ Write equivalent fractions. 1 5 4 = 20 Write equivalent fractions.
Add. 1 1 + 6 = 6 Su btract.
5 6
Find each sum or difference.
1 f)
1. 4+ 3=---11 h.
2. 12 - ~ = ---
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1 4 5=25
1 4 3. 3 + 9 =---
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1 20
3 2 4. 7+7=-~-
11 5 1 1 5. 12 - 12 = -- 6. 2 + 3 = --
1 1 7. 3 - 5=--
.' 3 3 1 2' 9. 5 + in = -- 10. 2 + 5 = --
12. Meg practiced the piano' .f.or 1~ hr. She did ho~ework for' ~ hr.' How much longer did she do 'homework than
she practiced the piano?
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Adding Mixed Numbers
To add mixed numbers, you can add the fractional parts to the whole number parts, and then simplify.
Find 2,g + 31. 4 4'
The fractions have a common denominator. Add the fractions. Then add the whole numbers.
2~ 4
+3~ 4
5~ 4
Find 3~ + 4t· Write equivalent fractions with the LCD.
3~ = 3~ , 3 9
+4 1 - 41-{"\ a 'tJ v
Add the :whole numbers. Add the fractions. Simplify if possible.
3~ 9
+4 1 9
7 L 9
Find each sum. Simplify your answer.
1. 2* + 2% = 2.
4.
6.
Find 4 + 3t. Add the whole numbers; then add the fraction.
4
+3~ 5
7~ 5
--------
4 2 11-3+ 6-
8% + 1 152 =
7 + 8t =
7. In 2001, the men's indoor pole vault record was 20i ft. The women's record for the indoor pole vault was 15 1
52 ft.
What is the combined height of the two records?
8. Writing in Math How high is a stack of library books if one book is 1 i in. high, the second book is 1 % in. high, and the third is 2 ~ in. high? Explain how you solved this problem.
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Subtracti,ng Mixed Numbers 2 1
Subtract 33 - 26"'
Review
12
Write equivalent fractions. . Subtract the fractions. Subtract the whole numbers. ,Simplify.
2 4 33 = 36
2 4 33 = 36
2 4 33 = 36
1 1 -26=26
1 1 -26=26
1 1 -26=26
3 3 1
The LCD o~ 3 and 6 is 6. 6 16 = 12
Find each difference. Simplify.
1. 2. 3. 4. -i
- 2-.!. 8
7 7Z 3~ 52 5.
310 6. 8 7. 4 8. 6
- 19 5
- 2~ 4
- 21 6
- 11 8
2 1 9. 23 - 14 = __ _ 3 2 10. 44 - 45 = __ _
- 1 2 11.23 -13 = __ -
4 2 12. 49 - 33 = __ _
- 3 5 13.38 - 26 ='--
15. Greg found two rocks for his collection. One weighed 4* Jb
arid the other weighed 2~ lb. Find the· differenc'e in weights.
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Multi lying Fraction"s . 3 2
FInd "4 x 7'
One Way
Draw a picture. Simplify if possible.
'-----y----" 3 4
6 of the 28 squares have overlapping shading.
3 2 6 So, 4"x 7= 28'
S· I'fy 6 3 Imp I 28 to 14'
Another Way
Multiply the numerators and denominators. Simplify if possible,
~x£ 4 7 3 x 2 6
= 4 x 7 = 28
-~ -14
Simplify First
Find the GCF of any numerator and any denominator.
The GCF of 2 and 4 is 2. Divide 2 and 4 by the GCF,
Write an equation for each picture.
1.
2.
Find each product. Simplify if possible.
3 ~x~· 8 3-
5 ± x ~. 5 8-
4 ~xl. 6 10-
6 ~ x ±. 2 9-
7. Number Sense Can you simplify before multiplying 14 x ~~? Explain.
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Multiplying Mixed Numbers
How to find the product of two mixed numbers:
Find 3~ x 4~.
Step 1
Estimate by rounding.
3.R x 4~ 3 2
1 1 4 x 5 = 20
Then write each mixed number as an improper fraction.
3.R x 4~ 3 2
1 1 11 x ~ 3 2
Step 2
Look for common factors and simplify.
Step 3
Multiply. Write the product as a mixed number.
1 16"2 is close to 20, so the
answer.is reasonable.
Find each product. Simplify if possible.
1. 2t x 3~ = 2. 21. X 22. -5 3 -
3. 6 x 3{ = 4. 12. x 31. -5 - 4 -
5. 4f x 16 = 6. li x 2f =
7. Number Sense Is 2 x 17 i greater than or less than 36? Explain.
Use with Le~4. 57
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Problem Solving: Strategies
A computer store has 25 printers and computers. . There are 7 more printers than computers.
How many of each are there?
Guess 1 Guess 2 ,Guess 3
Printers Computers 20 5 14 11 16 9
Check 20-5=1 14-11=3 16-9=7/
Solution: There are 16 printers and 9 computers.
Use any strategy to solve.
Review
1
Pr-oblem Solving Strategies
.. Act It Out
.. Draw a Picture
.. Look For a Pattern
.. Try, Check, and Revise
.. Make an Organized List
.. Make a Table
.. Solve a Simpler Problem
.. Work Backward
1. At the veterinarian's office, Terri learned that her dog weighed 4 times as much as her cat. Together the pets weighed 40 Ibs. How much did the dog weigh?
2. Yasmin arrived home from play practice at 4:25 P.M. The walk home took 15 m,inutes. Practice began 20 minutes after the final bell and la~ted for a half hour. When 'did school end?
3 .. Vaness~, piegq, Rose and Randy stood in line for IlJnch. Rose was just beh.ind Vqnessa. Djego, was not next to 'Rose or Ran9Y.' Write ,the lin'e order.
4. $tudents played qp~'g,e ,pall ~nd voll~yball for 45 ,minut~s. They played dodge ball for 11 more minutes than they played volleyball. How 16~g did they play dod~e b,all?
,5. Mr. Jones has .4 shirts, 2 ties, and 3 pair of p~:nt~. Hqw,:.rnahy.'days"in, a row can he wear' a>.different outfit?
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Name ------------------------------------------------------Customary Measurement R 10 ... 1
Units of Length U nits of Capacity
foot (ft) 1 ft = 12 in. cup (c) 1 c = 8 fluid ounces (oz)
yard (yd) 1 yd = 3 ft
mile (mi)
1 yd = 36 in.
1.mi = 5,280 ft
1 mi = 1,760 yd
pint (pt) 1 pt = 2 c
quart (qt) 1 qt = 2 pt
gallon (gal) 1 gal = 4 qt
How to change from one unit of measurement to another:
To change from larger units to smaller units in the customary system, you have to multiply.
To change from smaller units to larger ones, you have to divide.
120 yd = ft
1 yd = 3 ft
120 x 3 ft = 360 ft
120 yd = 360 ft
Complete.
1. 36.in. =
3. 51b =
5. 1.5 mi =
7. 2 T =
9. 640z =
11. 4 gal =
13. 6.51b =
15. 4.5 qt =
2560z = c
1 c = 8 oz
256 -;- 8 = 32
ft 2. 4 qt=
oz 4. 39 ft =
ft 6. 3.5 gal =
Ib 8. 16 pt =
Ib 10. 3 yd =
pt 12. 55 yd =
oz 14. 20 pt =
c 16. 205 yd =
17. Reasoning A vendor at a festival sells soup for $1.25 per cup or $3.75 per quart. Which is the better buy?
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Metric Measureme.nt R 10 .. 2
Changing from one metric unit to another:
To change from a larger unit to a smaller unit, multiply by a power of ten.
3.8 L = mL
A liter is a larger unit than a milliliter. To change from liters to milliliters, multiply.
1 L = 1,000 mL
3.8 x 1,000 = 3,800
3.8 L = 3,800 mL
To change from a smaller unit to a larger unit, divide by a power of ten.
100 m = km
The meter is a smaller unit than the kilometer. To change from meters to kilometers, divide.
1,000 m = 1 km
1 00 --;- 1 000 = 0.1
100 m= 0.1 km
Name the most appropriate metric unit for each measurement.
1. mass of a cow 2. iength of a carrot 3. capacity of a thirnble
Complete.
4. 45 9 = ------mg 5. 3450 mL = __ ~ __ L
6. 4.5 m = -----_mm 7. 1.68 L = _____ mL
8. 28 cm = -----_mm 9. 7,658 g = ----- kg
10. 600 cm = ----__ m 11. 5,000mg = _____ g
12. 5.1 km = - _____ m 13. 1.780 L = -----mL
14. 0.780 L = ---__ mL 15. 4,300 m = _____ km
16. 9,000 cm = _____ m 17. 8,000 mg = ____ ~g
18. Reasoning It is recommended that people have 1 g of calcium each day. How many milligrams of calcium is that?
Use with Lesson 10-2. 11
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'Perimeter
Review
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i : Perimeter is the distance around a shape.
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You can add the lengths of all the sides or you can multiply the sum of the length and the w.idth by 2 to find the perimeter of a rectangle-.
25 in.
9 in. 1...-1 __ --'
p = 25 in. + 9 in. + 25 in. + 9 in. = 68 in. or p = 2 x (25 in. + 9 in.) = 68 in.
1" Find the perimeter of the rectangle.
8m
6mn I I
p=_+_+_+_= __ m
Find the perimeter of each figure.
.If only one side of a figure is given, then all sides have the same length.
5cm
D p = 5 em + 5 em + 5 em + 5 em = 20 em or p = 4 x 5 em = 20 em
2" Find the perimeter of the square.
3 in.
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p = __ x __ = __ in.
3. 1 ft
3ft 0 4'2~ 5'0 4m
6.
12,in.
7. 2
1 . 4 m.
8. 24 c'rn 9. 4iy-7in. 10. 8m
/D 1
1 . 4 In.
20cmQ12cm
14cm 4~7in. tn. Z
11. A flower garden is in the sh~pe of an equilateral triangle.
Each side measures 15~' ft. What is the garden's perimeter?
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You can use formulas to find the area of a square or rectangle.
Find the area of a square that is 7.2 m on Find the area of -a rectangle with a length each side. W of 4 cm and a width (w) of 12 cm.
Use the formula A = 8 2. Use the formula ,A = I x w.
A = (7.2)2
A=51.84
A = 4 x 12
A = 48
The area is 51.84 m2. The area is 48 cm2
.
Find the area of each figure.
1"0 8.3cm
2.
10.4 ft
3.1 ft
3·1 14.2 km
8.8 ft 4.
I I 6.3 km
5. Reasoning What is the length of a rectangle that has an area of 120 ft2 and a width of 8 ft?
6. Number Sense What is the area of a square that is 12.4 cm on each side?
Use with Lesson 10-8. 1
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Ratio and Proportion
You can use ratios to compare two quantities.
2 balloons to' 3 sticks
You can write ratios as:
words 2 to 3
with a colon 2:3 2
as a fiaction 3
18
A statement that two ratios are equal is called a proportion.
1 balloon 2 balloons 2 sticks = 4 sticks
1 1 x 2 2 2"=2x2=4
1 2 , rt' "2 = 4 IS a propo, Ion.
Write each ratio. Use words, a colon, or a fraction.
1. Write the ratio of squares to circles.
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2. The Computer Club has 20 girls and 15 boys. Write the ratio of girls to boys in the club.
Tell if the ratios form a proportion. Write yes or no.
3 9 3. "4 12 -;----
1 2 4. 3 9" ----
3 6 5'"5 10 --
Complete ea~h table so that all ratios are equal.'
10. The ratio of ~he width to the length of a painting is 3 to 7. If the painting is 42 in. long, how wide is it?
. 11. The ratio of the number at moons the planet Neptune has tq the number that Saturn has is 4 to 9. Saturn has 18 moons .
. How many moons does Neptune have?
;1 18
4 8 6. (3 18 ---
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Fractions, Deci als; and ercents Fractions, decimals, and percents all name parts of a whole. The grid to the right has 72 out of 100 squares shaded.
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72 out of 100 are shaded. As a fraction, that is lio. As a decimal, that is 0.72. As a percent, that is 72%.
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Write 40% as a fraction a'nd decimal.
40% = 16~ = 0.40
Write 0.3% as a fraction and decimal.
0.3% = ~6~ = 0.003
The deCimal point moves two places to the left.
Write 0.47 as a fraction and percent.
0.47 = 16'0 = 47%
Write each in two other ways.
1. 2 10
3. 7 TO
5. 16%
7. 0.04
The decimal point moves two places to the left. Fill in any spaces with zeros.
Write t as a decimal and percent.
You can use a proportion: 3 _ n '4 - 100 4n _ 300 4-~
n = 75
So, t = 0.75 = 75%.
2. 23 100
4. 9"7%
6. 52%
8. 0.35
9. Number Sense Sheila got 87% of the problem correct. Patrick got '19do correct. Who scored higher?
Use with Lesson 7-2.
Name ______________________________________ _
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What is the probability of spinning an A?
2 -<f- number of As 4 ~ total. possible outcomes
The probability is ~ or ~.
Complete.
1. What is the probability of spinning a 1?
D -+ number of 1 s
D -<f- total possible outcomes
The probability is __ _
Give the probability of each .outcome.
3. spinning an N __ _
What is the probability of spinning a 8?
1 -<f- number of Bs 4 -+. total possible outcomes
The probability is ~.
2. What is the probabi.lity of spinning a 3?
D -<f- number of. 3s
D -+ total possible outcomes
The probability is __ _
4. spinning an S __ _
5. spinning -an S or G __ _ 6. spinning an S, G, or N __ _
A number cube has 6 sides numbered 1, 2, 3, 4, 5, and 6. Find each probability.
7. rolling a 3 __ _ 8. rolling an even number __ _
9.. rolling 3, 4, 5, or 6 __ _ 10 .. rolling anything but 1 -;---__
11.. A hat contains 26 cards, each printed with a different letter of the alphabet. What is the probability that you will pick a vowel (A, E, I, 0, U, or Y)?
1 There are 6 blue socks, 7 white socks, and 8 gray socks in a drawer. If you pick a sock without lo~king, what is the probability that it will be blue?
Level A Susan's recipe for sugar cookies calls for ~ cup sugar. If she sprinkles ~ of that amount on top of the cookies, how much sugar will be sprinkled on top? Explain how you got your answer. Number and Operations _
: ... ·4!3
Students at Will's school visit a planetarium every 5 years and the state capitol every 2 years. If Will visited both places during the 2007-2008 school year, how many years will it be before both places are visited again during the same school year? How do you know? Number and Operations
If Jessie saves 25% of the $200 he needs to attend baseball camp, his parents will pay the rest. Jessie has $30. Has he saved enough? Explain how you got your answer. Number and Operations
This plot shows the rolls of wrapping paper sold by each student in Mr. Chesney's class. Tina sold 13 rolls. Becky sold the most. How many more rolls did Becky sell stem Leaves
than Tina? How do you know? Data Analysis and Probability
3 2 1 o
H 0166 1 223 ¥ ¥5 6 8
Brad thinks the boldfaced square in this grid was moved from position A to position B just using translations. Cindy thinks it was moved just using reflections. Chad thinks it was moved just using rotations. Who ttj is right? Explain how you know. A Geometry 13
If this sign were next to a bridge, would a 1 O-ton truck be able to cross the bridge safely? Why or why not? Measurement
Level B The student council is covering 22 cafeteria tables with plastic for a teacher appreciation party. If each table needs 8.5 feet of plastic, will a 200-foot roll of plastic be enough? Why or why not? Number and Operations
Forty percent of Ms. Johnson's 30 students earned perfect attendance for the school year. The school record in any classroom is 13 students. Did her class break the record? How do you know? Number and Operations
If the estimated product of 98 and a number is 3,000, what is the number? Explain your thinking. Number and Operations
98 X ? z 3',000
Study the balance scales. What is the missing number? How do you know? Algebra
I 8 = 12 Ii = 4 A = 8 I 8 4: 8 28 18 ?
~~~ An ice cream shop offers 12 flavors of ice cream on sugar cones, waffle cones, or plain cones. If Emily picks 1 flavor of ice cream and 1 type of cone, how many possible combinations can she choose? Explain how you know. Data Analysis and Probability
Abby and Joel are on the same track team. If Abby runs the 5-kilometer cross-country event and Joel runs the 1,600-meter event, which team member runs the longer distance? How do you know? Measurement
©The Mailbox® • TEC44043 • June/July 2009 • Key p. 61 ------------------------------------------Note to the teacher: Photocopy the entire page or one level to distribute to students. When a student solves a problem, 50 THE MAILBOX he checks its box.
Name ------------------------------------------------------
Cut oUI s
Fit the specified shapes in each square. Glue the shapes in place.
1. 4 large triangles and. 2 large squares 20;8 small triangles, 4 medium squares, and. 4 small squares
©The Mailbox® • TEC44043 • June/July 2009 • Key p. 61
DO --------------------------------------
54 THE MAILBOX Note to the teacher: For an extra challenge, have students try to fit the shapes to make a symmetrical design. ---
Names ________________________________________________ ___ 1reecoraing sl1.~et,
Triangle Toothpicks per Side Sketch of Triangle Acute, Right, or Obtuse?
1 2,2,2
l 2,3,2
4,5,6
4 3,4,5
5 3,3,3
6 2,3,4
7 2,1,2
8 6,8,10
I ';')1"11'2 1.12ilum: . TECqO~ 2· ,'lpril/rJi2\, 200'j
Note to the teacher: Use with "Toothpick Triangles" on page 39. [ - - - - - - - - - -- _. -_ ... - ... -'- -.--- _ ... ---- .-
,3 Multiplying frac
1. Citocse a crayon or colored pencil that is a different color lour partner's.
3. Find your answer on the corn cob and color its kernel.
2. li'i multiply any two fractions from the stick of butter. If your answer is not on the corn cob or the kernel has already been colored, your turn is over.
-I I m 3: » r= (JJ
Q ~ \AI
. your work on your paper, writing your answer in SiiTlp l9St form.
__ --~~----?2------44----~3r-'
4. Play for a set amount of time or until all kernels have been colored. The player with more colored kernels wins.
~,
2
4
""
3
5
3 5
5
©The MailboX® • TEC44042 • April/May 2009 • Key p. 61 --- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -, the teacher: Each student pair needs a copy of the page and two different colored crayons or pencils.
.ikkJif:lIiiki!4 VWllifi ~ 2kMi42U_ __ -====-=_~.
NaIne ________________________________________ _
\'\lrite in SiiT1pl
_----'---=-_____ (C)
fraction fraction
fraction
__ (0) ____ (T) fraction
1 0.04 4
decimal fraction
WhlJ did the lI&in, ,0 to the dentist? To find out, write each letter from above on its matching numbered line below.
------ ---- ----- --------------3 1 0.4 ..1.. 0.95 0.6 0.15 0.25 1 II 3 0.05 0.75 .1.. 0.5 1 2 0.16 4 20 25 2 20 5 20 25 5
50 THE MAILBOX ©The MailboX®· TEC44042· AprJMay 2009· Key p. 61
!
I
I
Name ________________________________________ _ Date ____________________ _
Read each number and then follow the directions.
A.. 9,462,;71 .. ;
I. 7,627,§42 .. J§
(. «), §«)J, 674. 025
D. J6, «)57.541
r. J47,§62.0J
f. «)7,562.164
G .. 5,J62,470 .. 007
II .. 6,90J,267.40;
I.. 4,907,OOJ .. Ol0
J. J,104,0;7.092
IC .. 41,269 .. 0J
L .. ;J2 .. 4;
w. J .. ;94
N .. 161 .. 40
0.. 64,911 .. J6
If an 9 is in the millions place, then cross out backpacks.
If a J is in the tens place, then cross out problems.
If a 6 is in the hundreds place, then cross out tardy.
If a 1 is in the thousands place, then cross out big.
If a J is in the hundredths place, then cross out books.
If a «) is in the hundred thousands place, then cross out some.
If a 7 is in the tens place, then cross out He.
If a 6 is in the millions place, then cross out rulers.
If a 0 is in the ten thousands place, then cross out teachers.
If a 2 is in the thousandths place, then cross out late.
If a 0 is in the tenths place, then cross out pencils.
If a ; is in the tenths place, then cross out We.
If a 9 is in the hundredths place, then cross out homework.
If a 1 is in the hundreds place, then cross out buses.
If a 6 is in the thousandths place, then cross out have.
What did one math book say to another math book on the first day of school?
To find out, write each remaining word from the box in order from left to right and top
to bottom on the lines below.
©The MailboX® • TEC44044 • Aug.lSept. 2009 • Key p. 61 . THE MAILBOX 31
VI Names ·3·Jl';€f!;#'iM-::,~ _____ :_~_m.I A
--l I m "A1) ~1~tta.tSlf.o,.te;rJ A Game for Two Players :3: 2::: Direetions: r-eP 1. Select a crayon or colored pencil in a color ~ different than your partner's. :
2. Roll two dice. Match the number on the first
die to a singer below. Round the number
on that person's card using the rule that
matches the second die's number.
3. Color a music note with the matching
answer. If the answer is on a note that is
already colored, your turn is over.
4. When all the notes are colored or time is
up, count the number of horizontal, vertical,
and diagonal runs in your color. Use the
points chart to determine your score.
5. The player with the higher score wi~s.
.fo 1.985 .... 10
.fo 1.500.000
.fo 1.000.000
.fo 2 .... 10.000
.fo 1.985 .... 00
.fo 1.531.680
.fo .fo 1.500.000 1."30.000
.fo .fo Z.OOO.OOO 1.1198.6"'0
.fo .fo 1.530.000 2.000.000
.fo .fo 2 .... 11u980 2.520.000
.fo .fo 2.000.000 1.532.000
.fo '. . .fo Z.516 .... 00 1.985.000
Rounding Rules Roll of 1 = nearest ten Roll of 2 = nearest thousand
.fo 2.00011000
.fo 2u""Z.000
.fo 111531.'100
.fo 1.500.000
.fo 2.500 11000
.fo 1."IZ511150
Roll of 3 = nearest hundred thousand Roll of 4 = nearest hundred Roll of 5 = nearest million Roll of 6 = nearest ten thousand
©The Mailbox® • TEC44044 • Aug./Sept. 2009
Note to the teacher: Each student pair needs a copy of the page, two different-colored crayons or pencils, and a pair of dice.
.fo 1. "00.000 I 2.t_
.fo 1."'IZ5.Z00 I '.9-.,'
.fo 2 .... 00.000 I 1 .... ~,
.fo 2.516.000 I 3.0_~
.fo I
1."Z5.000 11 .... "
.fo Z.1I12.000 I Z.O, - .
Point:; Chart Each run of four = 1 i
Each run of five = 3 Each run of six = 5 ts
NaIne----------------------------------------------------
Circle the letter of the answer that completes each statement.
1. If a boot is 1 foot long, then it is also __ long.
E. 16 inches R. 1 yard T. 12 inches
2. If tumbleweed is 24 inches long, then it is also __ long.
A. 2 yards S. 1 mile Y. 2 feet
3. If the distance traveled on a cattle trail in one day is 8,800 yards long, then it is also ___ long.
J. 3,000 feet R. 5 miles T. 88 yards
4. If a cowboy rides for 7 miles, then he also rides for __
B. 10,500 yards N. 44,060 inches U. 36,960 feet
5. If a fence is 1,440 inches long, then it is also __ long.
H. 120 feet S. 120 yards V. 12 miles
6. If a branding iron is 3 feet long, then it is also __ long.
C. 24 inches E. 1 yard M. 3 yards
7. If a coyote's tail is 350 millimeters long, then it is also long.
A. 35 centimeters F. 3 centimeters N.1 meter
8. If a trough is 1 meter wide, then it is also wide.
G. 10 centimeters W. 10 decimeters U. 100 millimeters
9. If a horse's stall is 3,000 millimeters high, then it is also high.
M. 3 decimeters R. 30 centimeters S.3 meters
10. If a calf is 1 meter high, then it is also high.
N. 100 centimeters R. 100 decimeters
11. If a lasso is 200 centimeters long, then it is also long.
C. 2 decimeters P: 2,000 millimeters T. 20 meters
12. If a cactus is 7 decimeters high, then it is also high.
E. 1 meter G. 700 millimeters H. 200 centimeters
Why do cowboy!! have. ttouble. in math'? To solve the riddle, write each circled letter from above on the matching
numbered line or lines below.
____ L _____ O __ DI ____ 1 __ _ 562 7 3 6 7 8 7 2 9 3 4 10 10 12 5 10 12 9
44 THE MAILBOX ©The Mailbox® • TEC44033 • Oct.lNov. 2007 • written by Bonnie Baumgras, Las Vegas, NV • Key p. 61
! --4 11
--------.-~- -u-----------
Display.the· po:te-randr~vievv its rul.esandmnemohic with. students. To.practige,·.haye.e::ich chi.ld completE3a copy of the page below.
Nallle ____ ~ ________________________________________ _
Fipst Tllin.s Fipst! Tell which operation to do first.
CD (4-1)x6
® 6x8+9
® 63+7-4
8+5-7
subtraction
® 200 + 10 - 50 _______ _
® 16 x (45 + 18) _______ _
(J) 93 + 45 + 2
® 62 x (80 -75) ______ _
® 123-8x5
@ 172x90+81
Solve.
® (17+3)x8= __ _
@ 144+(12-8)= __
@ 36-7x22= __ _
Add parentheses to make each equation true.
@ 15 x 14 + 5 = 42
7 81 + 9 2 + 7 = 8
® 9 - 8 X 22 -1 = 3
@ 54-81 +9= __
@ 81 +(7-4)= __
@ 6 x 11-4=42
@ 27 - 18 x 12 = 108
©The Mailbox® • TEC44041 • FebJMar. 2009 • Key p. 61 iii THE MAILBOX 33
I .
1 If students need more help on adding and subtracting whole numbers, use ·F36 and F37 in the Math Diagnosis and Intervention System.
1 .. 201 . 615 5a 198 6. 980 9 .. 31
11 .. 279 13 .. 588 15a 1,296 . 17 .. 491 cards
REVIEW 2
3. 1,1 09 4. 179 7. 564 8. 90
10. 109 12. 221 14. 1,301 16. 2,109
If students need more help on adding and subtracting decimals, use 117 in the ·Math Diagnosis and Intervention System.
1. 15.95 3. 780.2 5. 74.97 7. 244.09 9. 7.4
11. 5.44 13 .. 530.05 . 15. 829.2 mi
REVIEW 3
2. 11.05 4. 8.4 6. 99.78 S. 0.27
10. 0.46 12. 127.41 14. 112.91 16. $5.21
If students need more help on multiplying whole numbers, use G59 in the Math Diagnosis and Intervention System. .
1 .. 646 3 .. 328
202,408 40 1,196
9,072 39,195
98 5,940 11D 20,979 13. 440 15. 3,620 1 504 miles
4
6s 7,770 '80 74,304
iDa 8,800 1 49,680 14. 640 16s 4,8961b
If students need more help on niultiplying decimals, use 120 through 123 in the Math Diagnosis and Intervention System.
1. 123.2 3. 1.28 5. 17.845 70 2.142 9. 10.-81
11. 378 13. 404 15. 2,187.5 in.
REVIEW 5
14.4 4. 0.015 6. 0.396 S. 17.55
10 .. 4.5 12. 0.088 14. i .47 16.· $59.97
If students need more help on dividing whole numbers, use G52, G54, G66, and G67 in the Math Dia.gnosis and I ntervention Syst~m.
1. 19 2 .. 66' 3. 83 4 .. 226 5. 319 6m 35 7 .. 47 8 .. 35 9. 58 10 .. 83
11 .. 40 12 .. 145 13. 102 14.".365 15. 19 points 'per game
REVIEW 6 If students need more help on dividing decimals, use 126 in the Math Diagnosis and Intervention System.
1. 2.3 3Q 15.7 5. 95.6 7. 6.7 9. 33.64
11. 48.47 13. $3.79 per roll
REVIEW 7
2. 21.9 4. 77.7 6.9.4 8. 4.89
10. 77.89 12. 17.89 14. 12.36 sec
If students need more help on problem solving, use M10 and M12 in th"e Math Diagnosis and Intervention System.
1. division; 33 teams 2 .. addition; 4S0.25 Ib 3. subtraction; $48.05 4. division; $0.60 per minute 5. multiplication; $4.74
REVIEW 8 If students need more help on interpreting data, use L3, L5, and L25 in the Math Diagnosis and Intervention System.
1. 2 archers 2. 2 bull's eyes 3. April 4. March . 5. 1 st and 5th 6. About $1,600-$1,700 "
REVIEW 9 If students need more help on lines and angles, use K46 and "K49 in the
"" Math Dia~nosis and Intervention Systef!1. O)~)
1. intersecting and perpendicular-2. parallel 3. intersecting 4. straight 5. obtuse 6. acute" 7,; right 8. obtuse 9. right
10. straight 11. acute
REVIEW 10 If students need more help on adding and subtracting fractions, use H29 and H31 in the Math Diagnosis and Intervention System.
11 1. 12
_ 7 J. 9
1 5. 2
2 7. 15
9 9. 10
5 11. 12
1 2. 12
A 5 If. "7
5 6. (3
5 "8. 24
9 10. 10
1 12. "3 hour
cO >(I)
(i;
~ c: o (I)
-u -0 <{" . § E" (I)
~" o u.. " I
t; o en !"
@
" C III E
.r!)
.l!? o.
IJ... .•
:t::. o. 0· .. 0). (9)" .
If students need more help on adding mixed numbers, use H34 in the Math Diagnosis and Intervention Syster~.
11 ~L 5
15
3. 6 ~I
36 1. 7
7 920
7 11. 812
-1 01~ Illi
12 If students need more help on subtracting l11i~ed numbers, use H35.in. the Math Diagnosis and Intervention System.
2 1. 115
1 3. is
3 5. 210
7 . 112
5 9. 112
2 11. 3"
49 4~ 1
6. 58 17
8. 424
. 7 10a 20
7 12m "9
14. 2~~
If students need Illore help on multiplying fractions and mixed nUlllbers, use H39 and H40 in the Math Diagnosis and Intervention System.
3 8 4
7. "5 1-1
9. 128 4
11. "5
REVIEW 14
1
1
1
1 5
6. 1 ..
13 24
1 15
1 2 . -1111 3
If students need more help on . problem solving strategies, use M38 in the Math Diagnosis and Intervention System.
1. 321b 2. 3:20 P~M. 3. Diego, Vanessa, Rose, Randy 4. 28 minutes 5. 24 days
.. ..... ...
. . ':' .
. ... ' .
: . ~ .
REVIEW 15 If students need more help on measurement, use K2 and K6 through K10 in the Math Diagnosis and Intervention System.
1. 108
3. 300
5. 10b 7. 5,000 9. 104
11~ 25,000
13. 6.7
. REVIEW 16
2. 5 1
4. 2 6. 40,000 8. 2,640
10. 4,300 2
12. 13 14. Yes, by 1.2 oz
If students need more help on perimeter, use K26 in the Math Diagnosis and Irterv.ention System.
i. 28 3. 8 ft 5. 72. in. 7. 7 in. 9. 20 in.
1 .11. 468 ft
REVIEW 17
2. 12 4. 9 m 6. 13.5 yd 8. 88 em
10. 48 m
1-1= ....... .J.. ,,...1"" ..... +<"" ner.~ n-lA't'O holn An ~:H·o.~ II ;::'lUUC;lll.:> I C;U IIIVI Ci IIVIt-' '-'I' ...... 1 '-' ...... ,
use K25 and K28 through K30 in the ~/1~fh ni!:lrti'lncic !::Inn Infon/l::lntinn ~\I~tAm IVIU\.II L...,.#'t(.....l~1 ''-J'-..7I....., "-"',.""'" 11',,""-'1 V "-" 1,-',-,1, '-' J v ... v ••••
1. 63 in2
3. 72 m2
5. 46.5 em2
7. 40 in2
9. 4.5 yd2
11. 75,000 yd2
2. 5 ft2 4. 32 in2
6. 6t ft2
8. 180 mm2
10. 25 ft2
REVIEW 18 If students need more help 'On ratio 8:nd
.. proportion, use 130 and 131 inthe Math .. Oiagnosis and Intervention System.
4 1. "3
. 4 . 2. 3 4. no 7.
5. 'yes
3. yes
6a no
3 . 6 9 12
5 10 15 20
8. 2 6 12 18
7 21 42 63
4 8 20 40
'5 10 25 50
10. 18 in. .11. 8 moons
REVIEW 19 If stUdents need l'!lore help on percents, use 136 in the Math Diagnosis and Intervention System.
1. 6 2. 15 1 3
3. :2 4. 4 1 3
~ .. 10 6. 5 7. 0.45 8. 0.16
9. 0.78 10. 0.04 11. 8 12. 4 1'3. 3 14. 6.3 15. 3.5 16. 116 17. 40 students 18. 38 problems
REVIEW 20 if students need more help on . probability, use L 18 in the Math Diagnosis and Intervention System:
3 1. 8
1 2. 4
1 3. "3
1 4. 2'
2 5. "3 6. 1 1
7 .. (3 1
8. "2 2
9. 3 5
10. (3 3
11. 13 2
12. "7
i .
Nrune ____________________________________ ~-----
Ge'ometric Ideas R 9-1
• A line Is a ~ght path of points
~=I~~Gi<' M 0 5
• A ray is a part of a line with N P R T one endpoint, extending forever Inonly~~l<>n. Examples. FD, Fit
• A rlOO segmentis part of a line with two ~Ints. Examples: CF, MO.
o A midpoint Is the point halfway between the endpoints of a Iioo segment. Example: Point L ~alfway between points J and M on JM.
• Congruent Une eegmente arJ!..!ine segments that have the same length. ~ple: OR is congl1Jent to ST.
• PMaIleII~ are 10 the S8JI!1l plane but do not intersect. Example: AS Is parallel to BT.
Use the diagram at the right. Name the following. Sample' answers: 1. three line segments
EH, fIR, RI
3. two lines that Intersect Dr ~~
GL,'FK 4. two congl1Jent line segments
EH,IJ 5. two lines perpendicular to BR ~~
FK,GL 6. two mldpo~ line segme~
B on 01, Ion BJ Use w~h Lesson 9-1. 101
Name ________________________________________ ___
Multiplying. Mixed Numbers HoW to find the product of two mixed numbers:
Flnd3fx4·
Step 1 Step 2
EstImale by roundln9. Look for common - factors ond simplify.
'Then WJI\8 each mixed number as an Improper frac\lQn. .
3~ x4t
1 1 ~x~
Find each product. S!rplifY if possible.
1. 2* x 3t = 981 2. 2t x 2l =
3. 6X3t= 192' 4. 1iX~t= 72 5.4tX16= 6. 1iX2t=
Step 3
Multiply. Wrtle IiIe product as a mixed number.
1 16'2 Is close 10 20 .•. so the
answer Is reasonable.
7. NumberSense Is 2 x 17-ij-greaterthan or less than 36? Explain. 5 Less, because 2 x 18 = 36. 176' is less than 18, so the product is less than 36.
R5-4
UsowithL....".,5-i. 57
i
I J
. 0
Nrume
________________________________________ ___
Fractions, Decimals, and Perc~nts : Fractions, decimals, and percents all name parts of a whole. The grid to_the right has 72 out of 100 squares shaded.
72 out of 100 are shaded. As a fraction, that Is i&r. As a decimal, that Is 0.72. As a p8IC9Ot, that is 72%.
Write 40% as a fraction and decimal.
40% =~=0.40 Write 0.3% as a fraction and decimal.
0.3% = f&- = 0.003
The decimal point moves two places to \he·left.
Write 0.47 as a fraction and percent. 0.47 ,;, -& = 47%
Write each IfI two other ways.
1. * 0.20 .20%
3. -k 0.7 .70% -. ---'--re--
5.16% 0 •. 16 .~ 7. 0.04 4 % . .1O:<L-
The decimal point moves two places to the left. Fill In any spaces with zeros.
Write t as a decimal and percent.
You cal] use a pro~iori:
i=li!ir
-t-=¥ n = 75
So, i = 0.75 = 75%.
2.{& 0.23 .23%, --gr------4. 97% 100 ;0.97
0.52.i--6.52%
8. 0.35 35% ;.1O:<L-
'9. Number Sense Sheila got 87% of the problem correct. Patrick got ~ correct. Who scored higher? Patrick
Use with Lessori 7-2. 77
Name ______ ,-________________________________ _
Adding M'ixed Numbers
To add mixed numbers, you can add the fractional parts to the ~hole . number parts, and then simplify.
Flnd2l- + 3l Fnd3~ +4l Flnd4+3f· The fractions have a common denomlnalor. Add the fractions. Then add the whole numbere.
Wrlte equivalent fraction. wllhtheLCD.
Add the whole numbers; Ihen add the fraction.
2~ 4
+3.l--=-.1.
5t·
3~ = 3t +4t = 4t Add the WhOle numbers. Add the fractions. SlmpIIfy H possible.
3.§. 9
+4t 7 Z
9
And each sum. Slmpl~ your answer.
1 1 3 45 .2~+2~= ~'~9r---------
3. 5f + ilr = _5_1..::..%'1:'-____ _
5· 2. 4l + 1t = _5_-_6-+
1 ____ _
4. af + 1~ =_1_0-+~4-'-----5. 6t+ 11i= _1_7--=8=--___ _ 6. 7 + .at = _1_5--"3 _______ _ 7. In 2001, the men's indoor pole vault record was 20t ft.
The women's reCord for the Indoor pole vault was 15-ft ft. What Is the combined height of the two records?
7 3512ft
8. W~ng In.Math How high is a stack of libraty books If one book Is 1'8' 10. high, the second book Is 1 f In. high, and the third Is 2f 1~~lgh? Ex.eJilln how you solved this problem.
5]4 in.; You need to find the LCD to solve this problem •
U .. YoithLasson 4-5. 49
i
f g S ~
N~ ____________________________ ~ __________ ___
Area of Squares and Rectangles R10-8
. You can use formulas to find the area of a squaro or rectangle.
Rod the area of a square that Is 7.2 m on FtOd the area of a ~Ie with a length each side. f/J of 4 em and a width (WI of 12 em.
Use the formula A = 51.
A = (7.21
A = 51.84
The area is 51.84 Iif.
Rnd the area of each figure.
1'0 a.3om
68.89 cm2
26.46·km2
Use the formula A = f X w.
A = 4 x 12
A = 48
The area Is 48 em'.
'·0 77.44 fe
5. Reasoning What Is the length of a rectangle that has an area of 120 If and a width of 8 It? 15 ft
6. Humber Sense What Is the area of a square that Is 12.4 em on each side? 153.76 cm2
u ... with L&S$OO 10-<3. 123
Name __________________________________________ ___
Metric 'Measurement R 1G-2
Changing from one mebie unit to another.
To change from a larger unit to a smaller To change from a smaller unit to a larger unit, multiply by a power o/.}en. unit, divide by a power of ten.
3.8L=_· __ mL 100m= ___ km
A liter Is a larger unit than a milliliter. To change from iiters to milliliters, multiply.
1 L = 1,ooomL
3.8 X 1,000 = 3,800
3.8 L = 3,BOO mL
The meter is a smaller unit than the kikn-neter. To cto..ange from meters to kilometers, divide.
1,OOOm = 1 km
100 + 1000 =11.1
100m = 0.1 km
Name the most appropriate metric unit for each measurement.
1. mass of a cow 2. length of a carrot 3. capacity of a thimble
kg cm -'.-m_L __ _ Complete.
4. 45g - 451000 mg 5. 3450 mL - 3.45 L·
6. 4.5 m 4 t500 mm 7. 1.68 L - 1 ,680 mL
8. 2Bem - 280 mm 9. 7,658 g - ~.658 kg
10. 600cm - 6 m 11,5,OOOmg 5 12. 5.1 km - 51100 13. 1.780L- 1,780 mL
14. 0.760 L 780 mL 15. 4,300 m - 4.3 km
16. 9,000 cm = 90 m 17. B,ooo mg - 8 18. Reasoning It Is recommended that people have 1 g of
calclum each day. How many milligrams of calcium is that?
1,ooo01g
,-,)
Name __________________________________________ ___
Customary Measurement R 10-1
Units of Length Units of Capacity
foot (It) 1 ft = 12 in. cup (e) 1 c = 8 fluid ounces (oz)
yard(yd) 1yd=31t pint (pt) 1 pt = 2 c
1 yd = 36 in. quart (qt) 1 qt = 2 pt
mile(mQ 1 mi = 5,2BO ft gallon (gal) 1 gal = 4 qt
1 mi = 1,760yd
HoW to change from one unit of measurement to another.
To change from larger units to smaller To change from smaller units to larger units in the customary system, you have ones, you have to divide. to multiply. 256 oz = __ c
120yd = __ ft 1 c = Boz
1 yd = 3 It 256 ~ B = 32 120 x 3ft = 360 ft 256 oz = 32 c 120yd = 360ft
comple.te. 3 1. 36 In. - ft 2.4qt-16
3. 51b 80 4. 39ft - 13
5. 1.5mi= 7.920 ft 6. 3.5 gal - 14 7. 2 T 4,000 Ib B. 16pt 8 9. 64 oz - 4 Ib 10. 3yd= 108
11.4gal- 3 2 pt 12. 55yd = 165
13. 6.5 Ib - 1 04 14. 20 pt 2.5
15. 4.S.qt = 18 16. 205 yd - 615
17. Reasoning A vendor at a festival sells soup for $1.25 per cup or $3.75 per quart. Which Is the better buy?
yd
qt
qt
in.
gal
$3.75 per quart is. the better buy.
116 U .. l'ilhL8SSOf\lG-1.
Name ________________________________________ ___
Measuring and Drawing Angles R 9-2
How to measure an angle: step 1 Pia"" the protractor's cemor on the eng/<!'. vertex.
step 2 Place the 0' mar1< on ""e side of !he angle.
N
LMN=60'
stop 3 Use tho scale bogilnlng wiIh the 0< mari< 10 r&a<I the meaourement wIlG<6 the other side of the 31191<> crosseo the protractor. .
Acute; 50°
Draw an angte with each measure.
How to draw an angle:
Draw an angle of 52".
stop 1 Draw • ~.
steP 2 Place tho protraotor's cem ... on tho iIodpoint. line up tho ~ with tho O'mlllk.
Stop 3 Using the sCale wiIh tho 0' maO<, p(ae<o. polntat52'.
step " Draw tho olh ... ray.
LA8C=52'
Straight; 1800
'/ \' i
I !
Nruma ____________________________________ ~-----
l\(Iultiplying Fractions
Andtxf· One Way
. Draw a plclure. Sinplify H poss1ble.
2 '1
601 the 28 square. have overlapping shading.
So·~xt=fs· Simplify fa to f4.
AnotherWav. MuttlpfythenOO\&faIols and denominators. Slmpnfy H possible.
txt =!~~=fa =~
Write an equation for each picture.
1.~.
Simplify Arsl Find the GCF of any iwm<Irator and any d«lomlnalor.
The GCF 012 and 410 2. Divide 2 and 4 by the GCF.
R 5-2
1 X 1 _ 1 "6 3-18
Find each prodfl. Simplify if possible.
3. txj-= "\ . . 5. t x i = ....,1..,,0'--___ _
4. %xfo-= 7
12 2·
6.i x t=. ~9~ ______ _ 7. Number Sense Can you simplify before multiplying 14 x ~? Explain.
No, because there is no common factor to divide by
Use with lesson 5·2.. 55
p~:;::~ 19 I. octopus 2. oce~tnographer
3. Pacific 4. scuba
5. 6. 7. 8.
seahol SC'
sLJGmarine intertidal musspl'.
10. shZ!rk II. eres;: I'.. Cfclc
Bonus Box: sound navigation ranging
Page 20 Answers may vary. Possible answers are listed.
I. next to the doughnuts, between the doughnuts and cinnamon rolls, above the turnovers
2. above the muffins, to the right of the cinnamon rolls, in the top right corner
3. above the round loaves of bread, beside the cookies, in the top left corner
4. on the bottom shelf, between the long loaves of bread and the pies, below the turnovers
5. on the top shelf, above the turnovers, to the left of the cakes
6. above the pies, on the middle shelf, below the cakes 7. below the doughnuts, above the long loaves of bread,
next to the turnovers 8. between the round loaves of bread and the muffins,
above the bagels, below the cookies and cinnamon rolls 9. in the bottom right corner, below the muffins, next to
the bagels 10. in the bottom left corner, next to the bagels, two shelves
below the doughnuts
Page 27 Having a pet reqUires many responsibilities.To begin,
pets need special shots to help prevent illness and disease. In addition to shots, grooming your pet is important. Most pets can clean themselves, but others should be bathed occasionally. Besides grooming, pets must also have a proper diet. Pets need the right amounts of vitamins, minerals, and proteins. While eating is important, pets also need plenty of exercise. Lastly, all pets should have a good place to sleep.
P. Ha~;ngapelte-qu!f&s",any fltspon51bl1 ies
1-. Tore¢n,petsneWsped.a\sOolsIn hc.JpP&Vll!'ltilloessanddiseiL"5
~.lnad:W-oolo&ho!s.gToomlngvourpel "_ ... U. Most pels can t1ean lhemset-Xls,bul
olhfrsshoo'4baba!hooc=aslonary.
Page 32 Similes
I. hands, sandpaper 2. eyes, diamonds 4. biscuits, bricks 5. mouth, bone 6. Meg, mermaid 8. dog, rail
I I. brother, bear
Page 33
Metaphors
C. BasldeslJl'oomrng.~tstrn..lslals.oha·,'1t afJft!Pefdint
:E. Pets fl'€'&dtherlghl amOt,tnl.sof Wtamim,mJn.i!rals.and pi'oteins
A.Wh/eeat<ngislmportant.~tsals-o
rwad~efltyclexerdse
M,laslty,allpelssi;ou'<lha""agood place to sleep
3. doghouse, oven 7. car, rocket 9. stomach, pit
10. book, window 12. Tina, snail
I. 30 in., was a mathematical genius 2. 100 in.2, born in Syracuse, Sicily 3. 40 in., was the son of an astronomer 4. 78.5 in.2, gave us a more exact measurement of pi 5. 31.4 in., calculus 6. 24 in.3, measuring the area of a circle 7. 50 in.2, was also a great scientist 8. 25 in.2, invented the compound pulley 9. 20 in., discovered the law of the lever
10. 12 in.\ was attacked by the Romans
Page 34 N. 36 yd.2; 36 yd. F. 250 ft.2; 70 ft. O. 108 yd.2; 64 yd. E. 20 yd.2; 26 yd. A. 275 ft.2; 104 ft.
T. 2,800 ft.2; 256 ft. W. 3,000 ft.2; 350 ft. D. 99 yd.2; 40 yd. R. 78 yd.2; 38 yd.
Riddle: IFTWO'S COMPANY AND THREE'S A CROWD, WHAT ARE FOUR AND FIVE?
Answer: NINE
Page 35 I. antifreeze 2. bendable 3. bicycle 4. blockage 5. development 6. dishonest 7. ex-president 8. hopeful 9. kingdom
10. lengthWise
II. madness 12. malformed 13. misprint 14. neighborhood 15. nonfat 16: precut 17. self-help 18. teacher 19. unhappy 20. useless
Answer Keys June/July 2009
~
7. OP ~ ~
8. WXandYZ
Bonus Box:Answers will v,ary.
Page 38 I. A. moose
B. crises C. teaspoonfuls D. brothers-in-law E. oboes
2. Q: Why did the chicken cross the basketball court? A: It heard the referee calling fowls.
3. A. yellow jacket B. Purple Heart C. blueprint D. green thumb E. pink slip F. red carpet
Students' words will vary. Possible words include yellow fever, yellow pages; blue cheese, blueberry, blue jay, blue ribbon, green bean, greenhouse, Red Cross, redhead, and red tape.
4. Answers will vary. Possible synonyms include excellent, extensive, fabulous, fine, sizable, splen'did, and top-notch.
5. Answers will vary. Possible answers include bay, bayou, brook, creek, glacier, gulf, ocean, pond, river, sea, spring, and stream.
6. Answers will vary. Possible answers include antler, batter, crate, fewer, pigment, pupil, scallion, scatter, scrabble, share, and steel.
7. Answers will vary. Possible answers include accountant, architect, artist, custodian, dentist, electrician, ffight attendant, judge, librarian, mechanic, nurse, physical therapist, physician, priest, rabbi, scientist, and travel agent
8. A. Montgomery B. Sacramento C. Charleston
Page 39 I. A. pineapple
B. grapes C. pineapple
2. 100th day, April 10; 200th day, july 19 3. A. Y30
B. Y2 C. When there are four Sundays in june, the probability
is 'Y30, or 'lis. If there are five Sundays in june, the probability is 5/30, or '16.
4. No. Using equivalent fractions, Kyle had 24!J6 of the points. Kelsie had 9;)6, and Keith had 4!J6.The sum (24 + 9 + 4 = 37) of their points is greater than the total number of game points (36).
5. A. 3 x (15 - 9) = 18 B. (6 x 10) + 12 = 5 C. (13-5)x(12+6)= 16
6. 26; The rule is to add the sum of the digits in both addends. 7. Gertie, Myrtle, Bertie, Nurtle 8. 13 and 14
Page 42 Answers may vary.
I. The bending of light rays is called refraction. 2. An optical illusion is a misleading picture of an object. 3. In a mirage, the layers of air are different temperatures. 4. A refracted image is never seen in the same spot as the
actual object, 5. Light rays can bend when they pass through materials
at different temperatures.·
Page 43 I. B 2. C 3. B 4. Band C
Page 46
5. A and C 6. C
7-8. Answers may vary.
Always congruent: 1,5,6,9, 10 Sometimes congruent: 2, 3, 4 Never congruent: 7, 8, II, 12
",I'
Level ;\ I. ~/6 CLIp 4. 21 more rolls 2. 10 yeal's, dudng (he
2017- '.018 schcd y~~l(' ], no
5. All three swacr)ts ;,re
Level B I. yes 2. no
Page 51
3. 30 4. 3
(c·rT2C;:'
b. no
5. 36 choices 6. Abby
I. .... -,---,--, 2. 5156 6166 3. 14 18 22 26 30 34 38 43 48 5358 II 15 19 23 27 3135 35 40 45 50 8 12 16 20 24 28 32 27 32 37 42 5 9 13 17 21 25 29 19 24 29 34 2 6 10 14 18 22 26
" 16 21 26 3 8 13 18
4. Answers may vary. Possible answers include the following: Drum I:
Each row from left to right:Add 3, Each column from top to bottom: Subtract 6. Diagonally from the top left corner to the bottom
right corner: Subtract 3. Diagonally from the bottom left corner to the top
right corner: Add 9. Drum 2:
Each row from left to right:Add 5. Each column from bottom to top:Add B. Each diagonal from bottom left to top right: Add 13. Each diagonal from top left to bottom right: Subtract 3.
Drum 3: Each row from left to right:Add 4. Each column from bottom to top:Add 3. Each diagonal from bottom left to top right: Add 7, Each diagonal from bottom right to top left: Subtract I.
Page 54 Arrangements of specified shapes within each square may vary. Possible arrangements are shown.
Page 56 more than is needed: surplus the lowest pay a worker can receive by law: minimum wage an economic system in which businesses are free to offer for sale
many kinds of goods and services: tree enterprise a period in which there is little economic growth and a high rate
of joblessness: depression a time of quick and widespread economic growth: boom a person who owes money: debtor a written plan for managing money: budget the way people produce, distribute, and consume goods and
services: economy a product brought into a country from another country in order
to be sold: import not plentiful: scarce the state of being jobless: unemployment a share in a company or business: stock money that is paid by people to support the work of the
government: tax to trade with people by exchanging goods: barter a budget shortage caused by spending more money than is
earned: deficit an economic condition in which it takes more and more money
to buy the same goods: inffauon a product sent from one country to another to be sold: export money that is leftover after a business has paid all its costs: profit to buy a share of a bUsiness in the hope of making a profit: invest a place where people can buy and sell stocks in businesses: stock
market a time of quick economic decline: bust someone who buys goods and services: consumer the amount of goods and services available for sale: supply the need for goods or services to be produced or offered:
demand
Page 57 I. Answers may vary. 2. The first part of the Declaration of Independence explains
the colonies' reasons for separating from England. It also outlines peoples' natural rights. The second part lists complaints against King George III.
3. The signers' names are grouped by geographic location, which was a common practice at that time,
4. It took five days for all 13 colonies to approve the Declaration of Independence. It took more time to get an official copy made.
5. He was the president of the Second Continental Congress.
©The Mailbox@'· June/July 2009 6 I
Page 13 Order may vary..
I. The data for writing elephant jokes is reversed. The number scale should go to 35. The shading of the bars for roller skating is reversed. The male elephant bar for art lessons is shaded to the
wrong number. The bars for shelling peanuts are missing.
2. The dot for February is too high. April's dot should be connected between March and
May ..
July's dot is on June's line. The dot for September is too low. The line connecting November's dot to December's
dot is missing. The label for the y-axis should be "pies sold" instead
of "dollars."
Page 14 Bonus Box: I. hold,held 2. begin, began 3. bring, bringing 4. are,were 5. meet, met 6. take,took 7. bring, brought 8. win,won 9. tell,told .
10. do,did II. wear,wore 12. take,took 13. gO,went 14. see,saw 15. shake, shook 16. leave, left 17. spend, spent 18. speak. spoke 19. forget, forget 20. keep,kept
Page 15 I. 70 II. I 2. Ifo 12. I(!
3. ~ 13. 3/4 4. 1ft 14. ~ 5. 1ft 15. Vio 6. 1ft 16. 3/10 7. If! 17. :If; 8. l/4 18. ° 9. 1ft 19. Ylo
10. 3ft 20. Vio
I. will hold 2. will begin 3. will bring 4. willbe 5. will meet 6. willtake 7. will bring 8. willwin 9. willtell
10. will do II. willwear 12. will take 13. willgo 14. will see 15. will shake 16. will leave 17. will spend 18. will speak 19. will forget 20. will keep
Page 16 I. M,look 2. E,family 3. R, working 4. D,times 5. R,meals 6. M,people
7. U,hug 8. T,skills 9. E,watch
10. O,smile II. A.clean 12. D,find
French = MERE German = MUTIER Swedish = MODER Spanish = MADRE Danish = MOR Dutch = MOEDER
Page 22 Sheet A
I. last night I ate steak. mashed potatoes, and salad. 2. My littlest dog, Carleigh,likes to play with her toys. 3. We left for our vacation last year on june, I 6. 4. Math is my faVorite subject in school, bUlfllike reading too. 5. Have you ever been to Houston,Texas? 6. Max asked, "Do you know where the game is being played?"
Page 25
Answer Keys April/May 2009
Answers may vary. Far away in the village of Crunchopolis there lived a brave little
band of cereal pieces.~ feared only one thing: rain. One day a thundercloud appeared in the sky. Christy Crunchy-O ran to tell Sam Cinnamon Square about It.
"We would be safe from the rain if we could get into Baron Von Crisp's castle;' she told Sam. "But ~ does not want to share.The baron has his castle heavily guarded by Shreddy and two of ~ buddies. What ~ need is a superhero to help ~."
just then a bright light flashed across the sky. Suddenly there appeared Supertoastie and his sidekick, Fred Flake.
"Never fear: Supertoastie is here!" the superhero announced. "Fred and 1 will get Shreddy and ~ buddies away from the castle because we are much stronger than ~ are. Follow Yi!"
Sure enough, the superheroes got Shreddy and ~ buddies to abandon their posts.As Shreddy ran, Christy pelted him with pebbles while Sam poured a whole pitcher of milk on his head.
Supertoastie and Fred Flake chased Baron Von Crisp out of his castle. Then ~ used the baron's own toaster oven to turn him to toast.
The brave little band of cereal pieces ran for cover in the castle just before the rain began to fall. "Oh, thank YQY, Supertoastie.And thank YQY too, Fred! You defeated the selfish baron and saved Yi from becoming soggy heaps of cereal!" Sam said.
"l!; was nothing;' the superheroes replied, and with a bright flash of light, ~ disappeared.
Bonus Box' Subject Pronouns Oblect Pronouns Possessive Pronouns IThey they it his We they us his we You us his she It him his he they him his we you their I you his we us his
Page 37 I. A. potato salad
B. grape juice C. pepperoni pizza
2. Answers may vary. 3. Answers may vary. Possible answers include beg, crave, feed,
rate, read, sag, see, tag, trade, tread, veer, wade, and wag. 4. Answers may vary. 5. One set of double letters: Connecticut, Hawaii, Illinois,
Minnesota, Missouri, Pennsylvania More than one set of double letters: Massachusetts, Mlssissippi,Tennessee,
6. January (The months are listed in alphabetical order.) 7. Answers may vary. Possible answers include harsh, hatch,
health, hearth, high, hitch, hogwash, hoorah, hunch, hush, and hyadnth.
8. A. tip B. turf C.gripe D.pirate E. fatigue
Page 54
Page 38 I. 390 yd. 2. 14 squares 3. 4 factors: I, 3, 5, and IS
Page 43 '/JX!h=\l6 '/J x 14 = \112·
'/Jx70=2fo '/Jx~=~ '/Jx"fi ="y.s '/Jx~= ~8 '/Jx~=14 '/Jx~="M '/J x 'l'10 = ~o Y2XI4=~ Y2X~='/J !h x 3fi = 3/10 Y2X"fi=2fi !h x s;.. = Vi2 Y2X%=3ft
!hx~=2fi V2 x 'l'Io = 7fio I4x~=\l6
l4x~=~
I4x"fi=~ l4X0/6=~4 14 x ~ = 3/16 l4x~=\h 14 x 'l'Io = ~o ~x~=~ ~x"fi=o/Is ~x~=S}J
~X~=Y2
~X~=~7 ~X7/1O = 'l\s ~x"fi=I~
3fixs;.. = 1ft ~x~ ='00 3ftx~="y.s 3ft X 7/10 = l~o "fixsfo=~
"fix~ =3fi
"fix~ = I~As "fix'l'lO=I~
sfox~=7t 5fox~= 1~7
0/6 X 'l\o = 7/12 ~x~='/J % x 'l\o = 2\140
~X'l'IO= l'Y4s
Page 53 I. global warming
Page 46 Level A
I. ° 2. hundreds, thousands, and
ten thousands 3. 1'l'6 4. no 5. Felipe 6. 26;The sum is the same.
Level B I. 12 2. II guests 3. less than 4. 3 bags 5. 6 girls 6. 8 sq. in., 7.5 sq. in.
Page 47 A. ¥lo B. 7/10 C. lfi D. ~ E. 0/10 F. ~ G.lf.; H."fi I. 1ft j. ~ K."fi L 0 M.3fi N. Vio O.Ift
Page 50 I. 'lio,O.05 2. Yl,O.S 3. lJ.;,0.6 4. !hs,0.04 5. 14.0.25 6. ~,0.16 7. ~,O.7S 8. :If;,OA 9. 7'10,0.15
10. 1'00,0.95 TO GET HIS TEETH CROWNED!
S. thermosphere 2. Greenhouse gases 6. mesosphere 3. atmosphere 7. stratosphere 4. deforestation 8. troposphere
7. When you are learning to playa new game, it takes time to memorize the rules. 4. 671 + 329 and 761 + 239
The three surviving species of sequoia trees can be found in eastern California on the western slopes of the Sierra Nevad~ mountains, Sequoia National Park in central California, southern Oregon along the Pacific coast, northern and central California along the Pacific coast, Sichuan province in China, and Hubei province in China. 8. For homework I had spelling, math, social studies, and science.
9. My family loves to eat out, but we also like to cook dinner at home. 10. When was the last time you saw your friend,Jamal riding his bike? II. The camping trip will be on Saturday, May 23. 12. We are visiting my grandparents in Fort Myers, Florida.
Sheet B I. My new school is located in Roanoke,Virginia. 2. Mom sent me to the store to bUYJ111i1k, bread. potato chips, and lunch meat. 3. Lu~asked, "Did you know my favorite ice cream is strawberry?" 4. I was born on September 14,1999. 5. The casserole we ate last night, chicken and rice, made my stomach hurt. 6. When the weekend finally arrives, ~ant to play outside. 7. My dad said we had to go to sleep early, but}'tllen he changed his mind. 8. When I was little, my favorite food was spaghetti. Q I h"V9 saved mv allowance since December;26.20OS.
5. The clock says 8:30 AM
when he wakes, but it really is 6:30 AM.
6. Answers will vary. One possible answer is 3 gallons - 2 quarts = 2Y2 gallons.
7. II, *;A Zinkie is a solid shape with an even number of sides.
8. 3% dozen
Page 57 I. a national memorial to four American presJdents whose
faces are carved on a granite cliff in South Dakota's Black Hills
2. Gutzon Borglum, an American sculptor 3. George Washington, Tilomas Jefferson, Theodore Roosevelt,
and Abraham Lincoln 4. Washington was chosen for the struggle for independence,
Jefferson for the idea of government by the people, Roosevelt for the 20th century role of the United States in world affairs, and Lincoln for equality and the permanent union of the states.
5. because of its height, its soft grainy granite, and the long hours of sunlight it gets each day
6. workers used drills and dynamite
I
·1
I
j
Page 14 People's Title: 5. Principal; 10. Mrs.; 18. Dr. Holidays: 2.Thanksgiving Day; 7. Fourth of July; 17. Valentine's Day Titles: 4. Creative Cupcakes; I I. School Days; 13. "Happy Birthday" Months and Days: 3. Saturday; 9. June; 16. September Names: I.Wyoming; 8. Squeaky; 14. New York City Correct: 6, 12, 15
Page 19 Clues may vary.
I. A 3. A 5. B 7. A 2. B 4. B 6. B 8. B
Page 20 AThere is trou e in the Cookie Kingdom. Princess
Crumb has fal en into a deep~The only wa to wake her is with a(mJxture)made from special coo les The
rincess must e saved in less than two ours or she will seep orever. King Crumb grabs his cell one and calls Captain Snicker and his@ Doodle. He tells them which
(cookles)they must find. Captain Snicker flies off to find a butte coo Ie He
heads straight to Sweden. He arrives at a er and buys a butter( cookie) He yells to the bakery owner: "Thank you!" Then he takes off for China.
Once in China, Captain Snicker begins searching for a fortune(cookle) He flies around the Great Wall of China. He sees several dessert(stands)He buys a fortune (cookie) in Beijing and heads back to the Cookie Kingdom.
B Meanwhile, Doodle picks up a shortbread (cookie) in Scotland. Then he zips off to the North Pole to grab an icebox(cookie) From the North Pole, Doodle heads to America. He spots a(§g}of chocolate chip(cookies)near the Statue of Liberty. He grabs the~and flies back to the Cookie Kingdom.
With only(minutes)to spare, Captain Snicker and Doodle present their(cookies)to the@6g)The(!ili!g) crushes the(cookies)and sprinkles them on his~ Princess Crumb awakens. Captain Snicker and Doodle save the(princess)and~in Cookie Kingdom are right once again.
Proper Nouns in Section A: Cookie Kingdom, Princess Crumb, King Crumb, Captain Snicker, Doodle, Captain Snicker, Sweden, China, China, Captain Snicker, Great Wall of China, Beijing, Cookie Kingdom
Proper Nouns in Section B: Doodle, Scotland, North Pole, North Pole, Doodle,America, Statue of Liberty, Cookie Kingdom, Captain Snicker, Doodle, Princess Crumb, Captain Snicker, Doodle, Cookie Kingdom
Page'26 Introduction The history and science of roller coasters are as amazing as
a ride on one.
Roller Coaster History Russians enjoyed one of the first roller coasters in the
IsOOs. They rode sleds down steep wooden slopes covered in ice.
The French made some changes.They built waxed slides and added wheels to the sleds. They also made a train of carts that moved along winding tracks.
The first American roller coaster was different from the French and Russian ones. It was a train of coal cars. Riders went slowly up a Pennsylvania mountain and had a thrilling ride back down.
Roller Coaster Science Roller coasters move mostly by gravity and momentum
since they have no engine. To build momentum, a train of cars is usually pulled by a
chain lift to the top of a track's first hill. Gravity makes the roller coaster roll to the bottom of the
hill.Then the coaster's momentum carries it (or a lift pulls it) to the top of the next hill.
Riding on a Roller Coaster People on wooden roller coasters experience bumps and
up-and-down motions. In contrast, people on steel roller coasters glide smoothly
on tubelike tracks. They also get to experience twists. LUrl1:~, ZU1'~ ,:::,)rnpl(:x
The fun thing about modcem rollel' co',s[el'S is dFI.1.: rid,,,!'s
can sit:, st..l.lld. or even be ill a ilyillg pusi;:i'~II,
C)llcllJsirln
Roller coaster fans of the future will no doubt see the rides become higher, faster, and more complex.
Page 30
Answer Keys Aug./Sept. 2009
Executive Branch: I, 5, 8, 13, 15 Legislative Branch: 2, 6, 7,9, II, 12 Judicial Branch: 3,4, 10, 14
Page 31 We have some big problems!
Page 33 I. T 6. G II. D 2. C 7.0 12. B 3. I 8. A 13. F 4. M 9. S 14. H 5. E 10. L 15. N
Page 34
16. K 17. R 18. P 19. J 20. Q
I. his tie 9. the students' pens 2. her purse 3. our shoes
10. a young boy's watch II. a man's wallet
4. my book 12. the cafeteria ladies' papers 5. the children's socks 13. the girls' backpacks 6. their bracelets 14. Mike's permission slip 7. Chris's ring 15. the people's paper clips 8. someone's sunglasses
Page 35 I. wait 2. hour 3. horse 4. build 5. whales
Page 36 I. FLAG 2. MEMORY 3. STARS 4. FREE 5. NATION 6. PRIDE 7. STRONG 8. BRAVE
Page 37 I. HOCKEY
6. 7. 8. 9.
10.
cellar II. clothes 12. sells 13. principal 14. plane 15.
9. 80,999 10. 29,880 II. 117,648 12. 3,780 13. 39,387 14. 119,905 15. 330,081 16. 5,964
2. Answers may vary. 3. tricky
fourth weather sent made week
4. a. fraction, action b. unique, beak
c. bleak, creek
5. Answers may vary. 6. a. Ulysses Grant
b. Calvin Coolidge 7. COW
COWSEE COSEE CHOSEE CHOESE CHEESE
8. If the shoe fits, wear it.
Page 38 I.
'+-I _.
d. frail, snail
c. John Kennedy d. Ronald Reagan
16. ring 17. knew 18. cash 19. writes 20. current
The pattern, which goes in a spiral, is add 6 and then subtract 2.
A = 30, B = 26, C = 34, D = 20, E = 22 2. 47 3. a and c 4. 9 nickels and 6 dimes 5. Problems will vary. Possible problems include the
following: 314 + 658 = 972; 291 + 384 = 675; 259 + 614 = 873. The sum of the digits in the answer is always 18.
6, MC)f1(by 7. S!:~ l~:~!e:;p() i ,::,
f?l n 01
IT] IT] rn
Page 40 The mystery animal for reptiles is TURTLE. The mystery animal for fish is CATFISH. The mystery animal for mammals is GIRAFFE. The mystery animals for amphibians are TOADS. The mystery animal for birds is PELICAN.
Page 41 I. over warm seas in the tropics 2. a. Rain clouds form.
b. Winds start to blow in a circular pattern around a low-pressure area.
c. Winds exceed 38 miles per hour. d. Winds exceed 74 miles per hour.
3. A watch means that conditions are right for a hurricane to hit within 36 hours.A warning means that a hurricane could strike an area in 24 hours or less.
4. They are different strengths. A Category 5 is the strongest, and a Category I is the weakest.
5. Answers may vary.
Page 42 I. renewable 2. geyser 3. core, hotter 4. erupts 5. can 6. world 7. steam, electricity, buildings
Bonus Box:Answers may vary.
Page 47 Level A
I. less than 2. yes 3. true 4. more 5. no 6. mUltiplication
Level B I. 5 2. no 3. 5,124,628 4. 6-ton trailer 5. 0 and 3, I and 2 6. B,C, and F
Page 52 I. 60 2. 500 3. 670 4. 1,360 5. 9,500 6. 15,900 7. 8,500 8. 12,800 9. 12,000
10. 598,000
Page 53 I. Carli 2. cafeteria food
II. 121,000 12. 6,000 13. 100,000 14. 50,000 15. 780,000 16. 1,190,000 17. 400,000 18. 500,000 19. 1,000,000 20. 600,000
3. pet peeves, TV commercials 4. text messaging and pet peeves 5. Charlie 6. 10 minutes 7. 30 minutes 8. Carli, 15 minutes
Page 57 A. trader, silversmith B. farmer, Sequoyah C. syllabary, Cherokee D. language
©The Mailbox® • Aug.!Sept. 2009 6 I
Answer Keys
Page 8
I. parems
2. tractor's, Bernard's 3. Miss Lizzy's, barn's 4. Mrs. Jones's
Page 10 I. A 5. R 2. H 6. 0 3. 0 7. R 4. R 8. M
Page 17
F<liliilj\,
6. children's, grandpa's 7. Miss Lizzy's 8. farmhands', tonight's
9. 0 10. V I I. I 12. E
Topic sentences (in bold) and order will vary.
Many people like to eat turkey. Turkey is high in protein and low in fat. White meat has less fat and fewer calories than dark meat. Forty-five million turkeys are eaten each Thanksgiving. Twenty-two million turkeys are eaten each Christmas, and 19 million are eaten
each Easter.
Turkeys have some special body features. All male turkeys and some female turkeys have beards. These beards are black
hairlike feathers on their breasts. A turkey can see movement from almost 100 yards away. When turkeys are excited, their heads change colors. Though they don't have ears like humans, turkeys have good hearing.
Some turkeys are raised by farmers. Domesticated turkeys, which are raised on farms, cannot fly.
1 J /
28 11;'1
2. squash 7. family 3. pilgrim 8. carve 4. turkey 9. cranberry 5. pumpkin 10. potato
I. Answers will vary. 2. (fest)
Page 29 A. (7 x 4) + I = 29 B. (24 + 6) - 2 = 2 C. (4 x 5) + 6 = 26 D. (9 + 8) - 3 = 14 or (8 + 9) - 3 = 14 E. (36 + 3) + 4 = 16
Page 38
The leading turkey-producing states in 2003 were Arkansas, Minnesota, Missouri, North Carolina, and Virginia.
In 2003, turkey growers in the United States raised 270 million turkeys. The heaviest domesticated turkey ever raised weighed 86 pounds.
Page 39
Ql [2: '-'I
th~nks.giv'ing (thangks-gjv'ing) 11 1. an rct of giving thanks; an expression of gratitude 2. Thanksgiving a holiday for giving thanks, celebrated on the fourth Thursday of November in the United States and on the second Monday of October in Canada
F. G.
H.
(12 + 2) + 5 = II (8 + 7) x 4 = 60 or (7 + 8) x 4 = 60 (14+7)+1=3 (25 + 5) + 5 = 10
Hullll>er fKtor, Kwerol fKtON
Wild turkeys are different from domesticated turkeys. Wild turkeys can fly as fast as 55 miles per hour for short distances. A wild turkey can run as fast as 20 miles per hour. Wild turkeys stay in trees at night. Today wild turkeys can be found in every state except Alaska.
Page 26
® s @ c @ 1. We are going to have a huge party for Halloween and invite all our friends.
A 0 0 ® 2. Matt couldn't find fa costume to wear, but he came to the party anyway~
® Y ® I 3. All my friends were having a wonderful time at ~ party.
o ® N ill 4. We played!! game, but first we had to separate the 9ir!§ from the boys.
F ® CD ® 5. Ib.e. team that won received candy bars. puzzle books. and movie tickets.
© ® M ® 6. Haley said, "The party is great! It's the best one I have ever been lQ."
® B @ E
7. There were a lot of!illJ9.tlli and great food for everyone.
"BOO-BERRY" PIE and "I SCREAM"
Popcorn Sizes Sold at the Movies 24
Page 27 22
I. 24 girls 2. 28 boys 3. butter 4. 4 more boys
20 18
'U 16 ~ 14 L.
12 a> .0
10 E 5. caramel ::> 8 Z
6. cheese 6 4
Graph may vary. Small Medium Large Belly Super Bag Box Bucket Buster Belly Buster
Size
A
c
o
G
H
15
36
7
25
16
64
30
1
20
Page 42
1.3,5,15
1,2,3,4,6,9,12, IB, 36
1,7
1,5,25
1,2,4,B,I6
1,2,4, B, 16,32,64
1,2,3,5,6,10, 15,30
I
1,2,4,5,10,20
Metric Conversion Chart I liter (L) = 1,000 milliliters (mL)
Customary Conversion Chart 1 cup (c.) = 8 fluid ounces (fl. oz.) I pint (pt.) = 2 cups I quart (qt.) = 2 pints I gallon (gal.) = 1 quarts
A. 6 B. 16 C. 64 D. 20 E. 8 F. 6 G. 80 H. 10,000 I. 3 J. 25
4
9
2
3
5
7
B
I
6
Page 43 I. 1,300 7. 10 2. 32 B. 1,000,000 3. 150 9. 9 4. 19,200 10. 544,000,000 5. 4,000 II. 227,000 6. I 12. BOO
Page 44 I. T 7. A
2. Y 8. W
3. R 9. S
4. U 10. N 5. H II. P 6. E 12 . G
THEY ARE ALWAYS ROUNDING THINGS UP!
THE MAILBOX 61
Page 20 I. Kate was invited to a karaoke birthday party for
her friend Chad. 2. She was nervous because she'd never been to a
karaoke party before. 3. 'Why are you nervous?" her mother asked. "You
sing in front of your friends all the time:' 4. "But I'm not sure I'll know the words to the songs
we'll sing:' Kate said worriedly. 5. "That won't be a problem:' Kate's mother
explained, "because you'll read each song's words from a video screen:'
6. "Oh:' Kate replied. "Then, yes,l do want to go to Chad's party!"
7. When Kate arrived at the party, her friends were eating chips, drinking sodas, and talking excitedly.
8. Chad's mom then set up the karaoke machine, and everyone cheered.
9. By 8:00 p.m., Chad and his guests had each sung two songs.
10. Kate performed so well that Chad gave her a nickname: Karaoke Kate.
Page 24 Paragraph I :A, C, N Paragraph 2: 0, D, F Paragraph 3: P, R, Q Paragraph 4: H,J, K, L Paragraph 5: S, M,T
Unused sentences: E, G, B, I
Page 27 I. Early Childhood
A Born on February 12, 1809, in Hardin County, Kentucky
B. Moved with his parents from Kentucky to Indiana C. Borrowed neighbors' books to learn
n. Adult Life A Married MaryTodd B. Had four sons C. Studied law and became a lawyer D. Became interested in politics
m. life as President A. Was the 16th president of the United States B. Issued the Emancipation Proclamation to free the
slaves C. Worked to reunite the nation after the Civil War D. Was assassinated on April 14, 1865
Page 31 I. F 6. F II. F 16. F 2. F 7.0 12. F 17.0 3.0 8. F 13.0 18.0 4. F 9.0 14.0 19. F 5. F 10.0 IS. F 20.0
Page 32 Sentences may vary.
I. Our whole family got up early Saturday morning. (purple)
2. Did you know that dogs cough? (yellow) 3. Evan doesn't ever lose his temper. (red) 4. Erin doesn't want any help with her homework.
(red) 5. My favorite book is Where the Red Fern Grows.
(green) 6. While the heavy rain fell, we stood under a big
umbrella. (orange) 7. Carrie studies Spanish and social studies all through
the winter. (green) 8. Mom bought a new lunchbox for me, but I forgot
to thank her. (orange) 9. little kids are always falling down on the sidewalk
and skinning their knees and elbows. (purple) 10. On our trip to Alaska, we saw moose, deer, wolves,
and Dall sheep. (blue)
Page 33 I. subtraction 2. multiplication 3. division 4. addition 5. division 6. addition 7. division 8. subtraction 9. multiplication 10. multiplication
Page 34 Order may vary.
I. frequent, seldom 2. common, rare 3. permanent, temporary 4. vague, clear 5. bravery, cowardice 6. natural, artificial
I love you a ton!
Page 35
II. 160 12.36 13.8 14. 45 15.27 16. (15 x 14) + 5 = 42 17. (81 + 92) + 7 = 8 18. (9 - 8) X (22 - I) = 3 19.6x(II-4)=42 20. (27 - 18) x 12 = 108
7. accept, refuse 8. safety, danger 9. departure, arrival 10. absent, present I I. generous, stingy 12. serious, jolly
Page 39 I. Thursday 2. a. weeks in a year d. centimeters in a meter
b. seconds in a minute e. pounds in a ton c. ounces in a pound f. quarts in a gallon
3. I + 4 + 6 = I I, or 2 + 3 + 6 = I I 4. c 5. Answers may vary. One possible solution is given.
a. 18,27,45 b.3, 11,21 c. 6, 9,15 6. 14 7. 3 days 8. a. 8 b. 24 c. 5
Page 42 I. heart 2. transplant
4. Jarvik 7 7. tubing 5. implant 8. permanent
3. artificial 6. circulatory system 9. organ
Page 43 Answers may vary.
I. almost anywhere 2. human's hair 3. bee, antennae 4. Pollen baskets
Page 50 Level A
10. patient
5. antenna cleaners 6. female 7. compound 8. queen, does not
I. 1,4, or 7 2.4.85 miles 3. no
I. promised under oath 7. brought into office 4. Answers may vary.
2. outside one's own country 3. buried 4. worked in office 5. children 6. first
Page 36 A 1,2,5,10 B. I, 29; prime number C. 1,2,4,11,22,44
8. speech 9. wrote 10. worked II. first 12. give up
5. yes 6. 150 em
Level B I. smallest: 2,034; largest: 2,934 2. 0,0.19,0.25,0.5,0.75,0.8, I 3. 900 x 40,800 x 45,600 x 60,720 x 50,500 x 72,
450 x 80, or 400 x 90 4. b 5. yes 6.40° each
Page 51
D. 12 36 E. 50 27 F. 40 16 G. 25 54 H. 31 62 1.4624 I. P = 16 yd., A = 16 sq. yd. 5. 3 ft. and 5 ft.
I I Q)Q) I CD CD I I @2 2 2
3 3 4 4
2 3 2 2 5 2
5944253 ®
6 6 @9
@ 18
36
Page 37 E. 2V2 in. W. I V2 in. T. I in. D. I~in.
E. 1!4 in.
10 27 5 ® ® 16 25
50 10
20
40
W.2~ in. G. 3 in. H. ~ in. t. 2!4 in. H. 4~ in.
GONE WITH THE WIND!
Page 38 I. Alabama,Alaska;Wyoming
6
9 62
18
27
54
N.I%in. T. ~ in. t. IVa in. N. 2Ye in. O. I~in.
2. Answers may vary. Possible answers include iota, mace, moan, more, mote, pace, pane, pore, port, and race.
3. Nouns that can be verbs: time, bowl, snacks, thought
Verbs that can be nouns: cut, can, watch, work, bear
4. Answers may vary. Possible answers include I'll, you'll, she'll, they'll, he's, it's, here's, let's, who's, there's, they~e, we~e, you~e, I've, they've, we've, she'd, he'd, you'd, and there'd.
5. misspelled, separate,You're, likely, probably, different, doesn't, eighth
6. a. camel c. seal e. whale g. weasel b. mouse d. goat f. badger h. shark
7. Answers may vary. One possible answer is wonderful.
8. a. five, six, seven b. knife, fork, spoon c. black, white, gray
I I 2. P = 30 ft. 6. 36 ft. 3. P = 32 ft., A = 60 sq. ft. 7. 33 ft. @@
23 3 4. P = 36 yd., A = 77 sq. yd. 8. P = 92 yd., A = 528 sq. yd.
46 4 6 8 12
24
Page 54 S. green O. green B. green P. green H. blue I. green C. orange N. green R. blue O. green E. blue N. orange R. orange A. orange O. blue
N. blue L green L green E. orange
I see a CRANE! I see a HERON! I see a SPOONBILL!
Page 56
Page 57 Sentences may vary. I. F;Abraham lincoln issued the Emancipation
Proclamation on January I, 1863. 2. F; He Signed the proclamation to free slaves and to win
the Civil War. 3. T 4. F; President lincoln did not worry about upsetting the
seceded states. 5. T 6. F;The Emancipation Proclamation helped the North win
the war. 7. T
Answers to the question may vary. THE MAILBOX 61
