Closs Unit 3Write the volue of the digit underlined.

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@ ez+az(} egga+@ 6ozog

O sa+zo@ gx+

e z + 6 + 13@ (6-z) + 4

@ Ioo-zo

@ g + Ir

@ ,r-4(D lo+s

e zr - Iz@ 18 + 3C; 13 + 13@ g x to

O Uotf of o number is 8.Whot is the number?

O Wfrot is the sum of l2pond l8p?

@ Totql the first three odd @ W|tot is the difference between15 ond 26?

e Wnot is 30 divided bg 3? @ Which number is four times bigger@ Ho* mong tens ore there

in 90?

thon l0?

@ Wtrot is holf of 14?

O tnir line is 6 cm [ong.

How long would it be if it wosten times [ongerl

@ n present costs f 1.80.How much chonge would therebe from f2.00?

e n troin leqves ot 6.15 pm.It orrives ot the next stotion ot 6.45 pm.How long wos the journeg?

@) Kote collects gemstones.She hos five boxes with nine gemstonesin eoch.How mong gemstones does shehove in totol?

(D How monu sweets ore left overwhen l5 sweets ore shqred eguollginto two bogs?

@ gxs

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@ sxr@ gxg

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Mentol Moths >dth/ Ao4)rr'/d @ Addison Wesley Longman Limited 1997

Maths- Past, Present and Future: Scales

I have worked with others to explore, and present our findings on, how mathematics impacts on

the world and the important part it has played in advances and inventions.

Scales at home

At home you will have many things which use a scale. They can include measuring jugs, rulers and

even analogue clocks. Some scales are on a straight line and some use a curve.

How many things can you find at home which use a scale? Perhaps you might want to take some

photos.

What does each thing measure and what unit of measure does it use? (e.g. centimetres)

Can you work out its relationship to other unit of measure? (e.g. how many mm in a cm, etc)

Some measuring instruments have two scales on them: metric and the old imperial scales (which

used inches, pounds, etc)? Can you find any examples of this?

Why do you think we use metric measurements now?

Have you got anything at home which measures things digitally which might have used a scale in

the past? eg I have a digital thermometer.

Do you think we will use scales to measure things in the future or will everything be measured

digitally?

Do you have anything at home which uses negative numbers on its scale?

Scales in the World of Work

Ask an adult what scales they might use at home and in their job. Find out as much as you can

about the scales they use and why it is important in their work.

What other jobs might people do where they use scales?

If you are struggling with this one, you can email me and ask me how I used to use different

scales when I worked in the laboratory.

Scales and our Topic

When measuring earthquakes, scientists use a seismograph. This records how much shake there

was. They used to record how strong the earthquake was using the Richter scale.

Can you find out more about this?

One of the things you will learn is that it uses a logarithmic or log scale. Please do not worry too

much about what this means. Scientists use log scales when there is a large range of quantities.

Perhaps the easiest way to understand it is that each number on the scale means tens times the

number before it.

Nowadays Scientists use the Moment Magnitude Scale instead of the Richter Scale. Why do

they use this instead?

Famous Scottish Mathematicians and Scientists and Scales

James Napier

James Napier was the Scottish scientist who invented the Logarithmic scale.

Can you find out more about him?

James Watt

In your home you have a meter which measures how much watts you use. Watts measure

electrical power and are also measured on a scale. The measurement for electrical power was

given its name after a Scottish inventor named James Watt.

What did he invent? Why was this so important?

William Thomson, Lord Kelvin

William Thomson was Irish, but he did most of his work at the University of Glasgow. He

invented an important scale known as Kelvins.

What does the Kelvin Scale measure?

Why is this different from other temperature scales?

Problem Solving (School Invaders)

Some tips to help you with the problem solving:

Prime numbers are whole numbers which can only be divided by 1 or by themselves eg

2,3,5,7,11,13

Composite numbers are whole numbers which can be divided by at least 1 number other

than 1 and itself 4,6,8,9

1 is neither a prime nor a composite number.

To reduce or simplify a fraction you must divide both the top (Numerator) and the bottom

(denominator) by the same number eg 6/8 = ¾ (I have divided both top and bottom by 2) or 3/9=

1/3 (I have divided both top and bottom by 3)

MATH MYSTERY:

CASE of the SCHOOL INVADERS

Date: _________________________

The students of Mathhattan Elementary recently returned to school from the holidays to

find that their school environment has been invaded by slimy aliens from the planet

Geometron! These school invaders are making students feel squished and miserable as

they continue to use their desks, seats, and playground to camp in.

Katrina, a student of Mathhattan Elementary, cried, “There is alien slime everywhere! It’s

so gross! My classroom stinks like smelly cheese, and one of the aliens is using my desk as

a bed!”

Another student, named William, complained, “ I was really excited to come back to

school. But, sharing our classrooms with these aliens is making it hard to enjoy learning,

especially when my seat is all sticky and my lunch gets eaten by them!”

Mayor Patrick spoke with the leader of the aliens earlier this morning. He attempted to

persuade the aliens to vacate the school and return to their planet, however Patrick

was asked to deliver something very important to the invaders as a condition to give the

school completely back to the students of Mathhattan Elementary.

Post discussion, the Mayor released the following statement, “The reason why the aliens

have invaded the school is because they are simply stuck there. They crash landed

nearby and lost their transponder, which was their only communication device to the

mothership. The leader is very angry with the alien responsible for losing it, but that

doesn’t help the situation. He has requested that we help them find this transponder

device, then they will be able to contact the mothership to pick them up and return to

their home planet.”

The police have begun their search, but since Mathhattan is so large, they are struggling

to locate where this transponder could be. The longer it takes them to find this device,

the slimier and smellier the school is getting. The students are already beginning to wear

gas masks!

MATH DETECTIVE NEEDED TO HELP FIND THE SCHOOL INVADERS’ TRANSPONDER!!!

The police have made a list of all the possible locations that the transponder could be

found, however they need a super detective with math skills to quickly solve where the

device is located. Help solve this mystery before the students start to stick to the

classroom floor!

Mrs J’s Resource Creations ©

Name: _______________________

Possible LOCATIONSLocation Main type of

object in area

In or Out of

The School

Grounds

Indoors/

Outdoors

Positional

Direction

Close/Far from

Crash Site

The Principal’s

Office

Books In Indoors North Close

The Playground Trees In Outdoors East Close

The Library Books Out Indoors West Close

Crystal Lake Trees Out Outdoors South Close

The Cheese

Factory

Food Out Indoors North Far

The School

Canteen

Food In Indoors East Close

Harry’s Bookstore Books Out Indoors South Far

The Wizard’s

Tower

Books Out Indoors North Close

Pepe’s Pizzeria Food Out Indoors South Far

The Whispering

Woods

Trees Out Outdoors West Close

Mathhattan’s

Retro Theme

Cafe

Food Out Indoors South Far

The Teachers’

Lounge

Books In Indoors North Close

Vikki’s Vegetable

Garden

Food Out Outdoors North Close

Dr Morton’s Study Books Out Indoors West Close

The Fraction

Garden

Trees Out Outdoors East Close

The Fruit Market Food Out Outdoors South Close

Solve the clues and then cross the location off the list until one remains! The last location remaining is where the school invaders’ transponder can be found!

Mrs J’s Resource Creations ©The Case of the School Invaders

Name: _______________________ Mrs J’s Resource Creations ©

Crack the code by completing the division facts below. Use your answers to match

and place the letters in the boxes to reveal the clue. Put the letter in every box that it

matches your answer in (there may be more than one!) The first one has been done

for you!

10 ÷ 1 = _______

O

DIVISION FACTS – CLUE 1

10 36 ÷ 3 = _______

R

35 ÷ 7 = _______

I

54 ÷ 6 = _______

H

16 ÷ 8 = _______

S

66 ÷ 6 = _______

V

42 ÷ 7 = _______

E

12 ÷ 12 = _______

T

63 ÷ 9 = _______

A

20 ÷ 5 = _______

D

24 ÷ 3 = _______

L

30 ÷ 10 = _______

C

O O10 10

12

5

5

5

99

9

2

2

22

11

6

6

6

6 66

1

1

1

1 4

8

3

3

3

7

The Case of the School Invaders

4

10- ________

8

10- ________

24

36- ________

Name: _______________________ Mrs J’s Resource Creations ©

REDUCING FRACTIONS - CLUE 2Crack the code by reducing the fractions below as much as possible. Use your

answers to match and place the letters in the boxes to reveal a clue. Put the letter in

every box that it matches your answer in (there may be more than one!) The first one

has been done for you.

R R

10

20- ________

Reduce each fraction as much as possible!

𝟏

𝟐 R A T

P C O

H N S

I L

D E

1

2

1

2

2

3

4

16- ________

1

4

1

4

1

4

1

4

6

8- ________

3

4

10

12- ________

4

5

5

6

5

6

2

5

2

5

2

5

4

20- ________

1

5

1

5

1

5

1

5

14

18- ________

7

9

7

9

7

9

8

28- ________

2

7

2

7

10

24- ________

5

12

8

96- ________

1

12

5

6

5

6

35

56- ________

5

8

5

8

5

8

The Case of the School Invaders

Name: _______________________ Mrs J’s Resource Creations ©

Reveal a special message about the space invaders’ transponder by completing the

multiplication questions below. Use your answers to match and place the letters in the

boxes to reveal the clue. Put the letter in every box that it matches your answer in

(there may be more than one!) The first one has been done for you!

3 X 4 = _______

D

MULTIPLICATION FACTS – CLUE 3

12

D

D

6 X 4 = _______

R

7 X 7 = _______

L

5 X 12 = _______

W

11 X 11 = _______

T

9 X 3 = _______

A

8 X 5 = _______

P

2 X 10 = _______

E

12 X 9 = _______

I

7 X 11 = _______

N

9 X 9 = _______

S

4 X 7 = _______

X

3 X 5 = _______

G

6 X 8 = _______

U

8 X 4 = _______

H

12 X 12 = _______

O

12

12

2449

60

121

121121

121 1212727

2727

40

20

20

20

20

20

108

108

108

108

108

77

77

77

81

81

81

28 15

48

49 32

32

4977

32

144

144

144

The Case of the School Invaders

ORDER DECIMAL NUMBERS - CLUE 4Discover another clue about where the transponder device is located by arranging

the decimal numbers below in ascending order. Cut out the numbers (paired with

letters) at the bottom of the page, arrange and paste them from smallest to largest

into the empty boxes to make the letters reveal a clue.

0.01I

Mrs J’s Resource Creations ©

0.03T

0.06I

0.08S

0.11N

0.15O

0.17T

0.2N

0.22E

0.29A

0.3R

0.31A

0.34N

0.36Y

0.38B

0.4O

0.42O

0.45K

0.48S

0.5O

0.53R

0.55F

0.56O

0.59O

0.6D

Name: _______________________ The Case of the School Invaders

Name: _______________________ Mrs J’s Resource Creations ©

T I

3 4

S H

9 11

E P

23 15

T D

10 7

U E

14 19

V T

2 6

E I

8 5

A C

32 31

E T

17 18

R I

12 13

A S

63 67

I T

37 35

N T

47 42

T H

71 65

H I

29 34

N E

33 41

W E

99 97

A E

53 54

S W

89 87

T E

59 54

Crack the code by first looking at each boxed pair of numbers. In each box, cross out

the composite number and circle the prime number. Keep the letter of the prime

number visible to reveal a helpful clue at the end.

The first one has been done for you.

PRIME NUMBERS – CLUE 5

The Case of the School Invaders