Unit 5: Lesson 1 Reasoning: Is the following statement true or false? If false, explain why. Then...
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Transcript of Unit 5: Lesson 1 Reasoning: Is the following statement true or false? If false, explain why. Then...
Unit 5: Lesson 1Reasoning:
Is the following statement true or false?
If false, explain why. Then reword the
statement to make it true.
The circumference of a circle is a similar
measure to the area of a square.
Unit 5: Lesson 1Build Unit Fractions
Targets:I can build other
fractions from unit fractions.
I can add like fractions.
I can express information from pictures, stories, and data formats as
fractions.
Vocabulary:
unit fraction
non-unit fraction
Unit 5: Lesson 2Mental Math:Find the number that is 0.1
greater and the number that is 0.01 less than each
of the given numbers.
1) 470.26 _______ , _______2) 3,189.5 _______ , _______3) 25,317 _______ , _______4) 153.906 _______ , _______
Unit 5: Lesson 2Compare Fractions
Targets:I can compare unit
fractions and fractions with like denominators.
I can express and refine comparative concepts.
I can apply greater than (>) and less than (<)
notation.
Vocabulary:
numerator
denominator
Unit 5: Lesson 3
A bar graph shows 9 red paints, 12 green paints, some blue paints, for a total of 30 paints. Brad
displayed the same data on a circle graph. Explain how he made the circle graph and how to check
if it is correct.
Unit 5: Lesson 3Subtract Fractions
Targets: I can subtract like
fractions and mixed numbers.
I understand simple algebraic notation for
fractions.
I can solve problems with algebraic notation.
Vocabulary:
numerator
denominator
Unit 5: Lesson 4Multistep Problem:
Apples cost $0.25 for one-fifth pound. Bananas
cost $0.45 for a half pound. Kim bought
three-fifths pound of apples and 1 pound of
bananas. State an amount of money used
to pay, and find the amount of change Kim
received.
Unit 5: Lesson 4Fractional Addends of
One Targets:
I practice adding and subtracting fractions,
with like denominators.
I can build fractions from unit fractions, and
identify how many more it will take to make one
whole.
Vocabulary:
addend
sum
Unit 5: Lesson 4
Reasoning:
6.2-3.37=2.83
Write another subtraction problem that has a decimal difference
that is less than the given difference and one with a decimal difference
that is greater. (Make sure you label your
answers)
Unit 5: Lesson 5Relate Fractions and
Wholes Targets:
I understand that the size of a fraction
depends on the size of the whole.
I can solve and explain open-ended word
problems that relate fractions and wholes.
Unit 5: Lesson 6Strategy Problem:
Valerie made 1 lb of pizza dough. She cut the whole into 12 pieces and then placed it into packages.
She sold one package and had 5/6 of the whole left. She sold another package and had 2/3 of the whole left. How much does the dough in each package
weigh? How many packages were made?
Explain.
Unit 5: Lesson 6Fractions Greater Than One
Targets: I can represent improper
fractions and mixed numbers.
I can convert between improper fractions and
mixed numbers.
I can apply the terms improper fraction and
mixed number
Vocabulary:
improper fraction
mixed number
Unit 5: Lesson 7
This circle graph shows how Gary planted geraniums,
impatiens, and roses in his garden. He planted a total
of 30 flowers. Find the amount of each type of
flower
Geraniums
Roses
Impatiens
Unit 5: Lesson 7Add Fractions Greater Than
One Targets:
I can add mixed numbers, applying quick
methods when appropriate.
I can read and represent mixed numbers on calibrated lines and
rulers.
Unit 5: Lesson 8What Went Wrong:
Carmen had $19.50 to buy cheese. The cheese
costs $3.25 per pound. He picked out two packages of cheese that weighed 2 5/8 lb and 3 7/8 lb. He
did not have enough money to pay! Explain
the error Carmen made. Find the correct total
weight.
Unit 5: Lesson 8Subtract Mixed Numbers
Targets: I can subtract mixed
numbers with like denominators.
I can ungroup the first mixed number in a
subtraction problem when necessary.
I can explain student-generated methods of
subtraction to the class.
Vocabulary:
mixed number
ungroup
add on
Unit 5: Lesson 9
Sung Hoon made two decimal numbers using
the digits 5, 6, and 7. He found 7.425 to be their
sum. What is the difference of the two decimal numbers?
Unit 5: Lesson 9Comparison Situations
Targets: I can compare the sizes of two like fractions or
mixed numbers, and use subtraction to determine
the exact difference.
I can construct a chart of comparative
measurements.
Vocabulary:
mixed number
subtract
add on
Unit 5: Lesson 10
Geometry:The dimensions of Ms.
Fu’s living room are 9 ft 5 in by 10 ft 8 in. Ms. Fu received a price quote
for installing new carpet that said the area of her living room is 102 square feet. Is the quoted area
reasonable?
How can she use estimation to check?
Unit 5: Lesson 10Mixed Practice With Like
Fractions
Targets: I can consolidate understanding of
addition and subtraction with like fractions.
I can express the main concept of adding and
subtracting like fractions.
Vocabulary:
numerator
denominator
Unit 5: Lesson 11Mental Math:
Find the number that is 0.01 greater
and the number that is 0.1 less than each of the
given numbers.
1) 65.997 _______ , _______
2) 13,850.09 _______ , _______
3) 4,201 _______ , _______
4) 738.1 _______ , _______
Unit 5: Lesson 11Discover Equivalent Fractions
Targets: I can generate and
explain simple equivalent fractions.
I understand and apply the terms
equivalent fraction and simplify
Vocabulary:
equivalent fractionsmultipliersimplify
unsimplify
Unit 5: Lesson 12
Strategy Problem:Walter saw a display of
towers made from boxes. The first tower used 1 box; the second tower used 8 boxes, the third
used 27 boxes; the fourth used 64 boxes, and so
on. If this pattern continued, how many boxes were in the one
hundredth tower?
Unit 5: Lesson 12Equivalent Fractions and
Multipliers
Targets: I understand the role
of the multiplier in equivalent fractions.
I simplify and unsimplify common
fractions.
Vocabulary:
multiplication table
multipliersimplify
unsimplify
Unit 5: Lesson 13Geometry:
A rectangle has a perimeter of 36 cm and an
area of 80 cm². A right, scalene triangle has the
same perimeter. Its base is 3 cm longer than its
height. The diagonal side is 3 cm longer then the base. The base is 12 cm long. What is the area of
this triangle?
Unit 5: Lesson 13Solve Equivalence Problems
Targets:
I can generate and simplify
fractions in real-world contexts.
Vocabulary:
equivalentsimplify
unsimplify
Unit 5: Lesson 14
Who’s Right?:Shayne read 15 out of 50
pages in her book and Kenton read 27 out of 90 pages. Shayne said she
had read more of her book than Kenton. Kenton said
they actually read the same fraction of their books. Who is correct?
Unit 5: Lesson 14Add and Subtract Unlike
Fractions Targets:
I can add and subtract fractions with unlike
denominators.
I can apply the terms common denominator
and least common denominator.
Vocabulary:
common denominator
least common denominator
(LCD)
Unit 5: Lesson 15
Is it possible to subtract two fractions and have a difference greater than 1? Give
an example and counterexample to
support your answer.
Unit 5: Lesson 15Solve With Unlike Mixed
Numbers Targets:
I can consolidate understanding of equivalent fractions and operations with
unlike fractions.
I can express the main concept of equivalent
fractions in writing, and refine it through class
discussion.
Unit 5: Lesson 16
Strategy Problem:Rodney cut a long piece of wood into
fourths. Then he cut each fourth in half. He
gave away 6 of the pieces. The length of
the two remaining pieces is 8 inches in
all. How long was the original board?
Unit 5: Lesson 16Practice With Unlike Mixed Numbers
Targets:
I can consolidate understanding of
equivalent fractions and operations with unlike
fractions.
I can express the main concept of renaming and ungrouping fractions.
Unit 5: Lesson 17Strategy Problem:For her party, Tia bought 20 sets of
prizes. Each set had the same number of prizes.
She put ¼ of all the prizes in the piñata, ½ of all the prizes in the
gift bags, and the remaining 10 prizes became door prizes.
How many prizes were in each set?
Unit 5: Lesson 17Probability and Equivalent
FractionsTargets:
I apply the language of probability.
I can solve probability
situations by finding fractional equivalents.
Vocabulary:
probabilitylikely
unlikelycertain
impossiblefrequency table
line plot
Unit 5: Lesson 18Combinations:
Ms. Lorisol’s store sells 6 types of paper and 4
types of envelopes. Mr. Demetri’s store sells 5
types of paper and several types of
envelopes. Mr. Demetri’s store has more
combinations of paper and envelopes. How
many types of envelopes does his store sell?
Explain.
Unit 5: Lesson 18Fraction and Decimal
Equivalencies
Targets: I recognize
equivalent fractions and decimals.
I identify patterns of fractions and
decimals.
Unit 5: Lesson 19Estimate or Exact
Answer?Alma put wallpaper on a wall with dimensions 6 ft
9 in by 8 ft 4 in. She needed only one roll of
pre-cut wallpaper to cover it. How many
square feet does the roll of wallpaper need to cover? Explain if you
found an estimate or an exact answer and why?
Unit 5: Lesson 19Compare and Order Fractions and
Decimals
Target: I use patterns and
strategies to compare and order
fractions and decimals.
Unit 5: Lesson 20
Write two fractions, using each of the
numbers 2, 3, 4 and 7 only once. The sum of these fractions should
simplify to 1 1/28
*teacher note: this lesson marked optional
Unit 5: Lesson 20Different Ways to Estimate
Target: I use a variety of
methods to estimate sums and
differences of fractions, mixed numbers, and
decimals.
*teacher note: this lesson marked optional
Vocabulary:
benchmark
Unit 5: Lesson 21Use Mathematical Processes
Targets:I can solve a variety of
problems, using mathematical concepts
and skills.
I use the mathematical processes of problem solving, connections, reasoning and proof, communication, and
representation