MATH JOURNAL

MATH�GAME

INDEPENDENT WORK

TECH�CENTRE

MRSTAV

GUIDED

WITH STAV

1 2 3 4 5

MATH JOURNAL

MATH�GAME

INDEPENDENT WORK

TECH�CENTRE

MRSTAV

GUIDED

WITH STAV

1 2 3 4 5

NUMBER SENSE�& NUMERATION

TERM 2

MRSTAV

DO IT NOW

# Adding and Subtracting Fractions NS

Adding and Subtracting Fractions

NS

MRSTAV

DATA MANAGEMENT

Represent the multiplication and division of integers using a variety of tools.

Solve problems involving operations with integers using a variety of tools.

MRSTAV

CURRICULUM

ADDING & SUBTRACTING

FRACTIONS

MRSTAV

3 OUT OF 2 PEOPLE HAVE TROUBLE WITH FRACTIONS

ha ha

MRSTAV

INTEGER

• a whole number
• a number that is not a fraction

MRSTAV

FRACTION

• a numerical quantity that is not a whole number

MRSTAV

WARNING

WARNING

YOU CANNOT ADD OR SUBTRACT FRACTIONS UNLESS THE DENOMINATORS ARE THE SAME

COMMON DENOMINATOR

• When multiple fractions have the same denominator

MRSTAV

When the denominators are the same…

LIFE IS EASY!!

1

9

+

5

9

=

6

9

9

9

9

MRSTAV

When the denominators are the same…

• Keep the denominator
• Add/subtract the numerators
• Reduce

1

50

+

36

50

=

49

50

50

50

50

12

50

+

50

MRSTAV

When the denominators are the same…

• Keep the denominator
• Add/subtract the numerators
• Reduce

2

11

-

5

11

=

3

11

11

11

11

10

11

-

11

MRSTAV

5�12

TRY IT

4�12

2�12

+

+

=

a)

92�140

50�140

5�140

+

+

=

b)

33�44

4�44

21�44

-

-

=

c)

5�98

4�98

2�98

+

-

=

d)

11�12

147�140

8�44

7�98

MRSTAV

WARNING

WARNING

YOU CANNOT ADD OR SUBTRACT FRACTIONS UNLESS THE DENOMINATORS ARE THE SAME

When the denominators are NOT the same…

JUST PANIC!

1

9

+

5

7

=

?????

?????

9

7

MRSTAV

When the denominators are NOT the same…

• Find a common denominator
• Keep the denominator
• Add/subtract the numerators
• Reduce the answer

MRSTAV

MR. STAV’S

MATH

SECRETS

DO NOT OPEN

DO NOT PRESS THE BUTTON

MRSTAV

HOW TO FIND A COMMON DENOMINATOR

MR. STAV’S CHEAT WAY

1

9

+

5

7

=

?????

?????

9

7

When the denominators are the same…

• Keep the denominator
• Add/subtract the numerators

HOW TO

HOW TO FIND A �COMMON DENOMINATOR

1. Multiply the denominators together

TOP SECRET!

1

9

+

5

7

=

?????

?????

9

7

9 x 7 = 63

MRSTAV

HOW TO FIND A �COMMON DENOMINATOR

1. Multiply the denominators together
2. Multiply the numerator AND the denominator by the same number that gets your denominator to equal that answer

​

TOP SECRET!

1

9

+

5

7

=

?

?

9

7

x 7 = 63

x 7 = 7

MRSTAV

HOW TO FIND A �COMMON DENOMINATOR

1. Multiply the denominators together
2. Multiply the numerator AND the denominator by the same number that gets your denominator to equal that answer
3. Do that to all the �fractions in the �equation

TOP SECRET!

1

9

+

5

7

=

?

?

9

7

x 9 = 63

x 9 = 45

7

63

MRSTAV

HOW TO FIND A �COMMON DENOMINATOR

1. Multiply the denominators together
2. Multiply the numerator AND the denominator by the same number that gets your denominator to equal that answer
3. Do that to all the �fractions in the �equation

TOP SECRET!

1

9

+

5

7

=

?

?

9

7

7

63

45

63

52

63

MRSTAV

L.C.M

L.C.M

1 5 ?

9 7 ?

+ =

Common Denominator: 9 x7 = 63

x7 = 63

x7 = 7

x9 = 63

x9 = 45

WORK VERTICALLY

(REDUCE IF POSSIBLE)

PRIME NUMBERS: 2 3 5 7 11 13

5 2 ?

7 8 ?

+ =

Common Denominator: 7 x8 = 56

x8 = 56

x 8= 40

x7 = 56

x7 = 14

WORK VERTICALLY

(REDUCE IF POSSIBLE)

PRIME NUMBERS: 2 3 5 7 11 13

÷ 2 = 28

÷2 = 27

PRIME

MRSTAV

5�12

a)

c)

TRY IT

4�10

+

=

7�10

5�20

4�5

+

+

=

b)

3�10

4�5

-

=

3�5

3�4

3�20

+

-

=

d)

=

MRSTAV

5�12

TRY IT

4�10

+

=

a)

7�10

5�20

4�5

+

+

=

b)

3�10

4�5

21�25

-

-

=

c)

3�5

3�4

3�18

+

-

=

d)

?�?

?

?

?�?

?�?

50�120

48�120

+

=

98�120

49�60

=

700�1000

250�1000

+

=

1750�1000

175�100

=

800�1000

+

14�20

5�20

+

=

35�20

16�20

+

35�20

=

MRSTAV

• 2/3 4/5 7/9

​

​

• 90/135
• 108/135
• 105/135

​

• 303/135
• 101/45

MRSTAV

TECH CENTRE

MRSTAV

1

PERSON

MRSTAV

EVERYONE

ELSE

MRSTAV

EVERYONE

MRSTAV

TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

bit.ly/stavmathjournal

1. bit.ly/speedwayfractions
2. Create “PRIVATE GAME”
3. Make Password: STAV

MRSTAV

>>

>>

>>

>>

CENTRES

GUIDED

WITH STAV

1 2 3 4 5

TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

1. ProdigyGame.com

Class Code: 0D2D90

bit.ly/stavmathjournal

1. bit.ly/speedwayfractions
2. Create “PRIVATE GAME”
3. Make Password: STAV

MRSTAV

>>

>>

>>

>>

CENTRES

GUIDED

WITH STAV

1 2 3 4 5

DATA MANAGEMENT

• Collect, organise and display categorical, discrete or continuous primary or secondary data, and display the data in charts, tables and graphs that have appropriate titles, labels and scales that suit the range and distribution of the data, using a variety of tools.
• Explain the relationship between a census, a representative sample, sample size and a population.
• Read, interpret and draw conclusions from primary and secondary data.
• Determine, through investigation, the appropriate measure of central tendency needed to compare sets of data.
• Make inferences and convincing arguments that are based on the analysis of charts, tables and graphs

MRSTAV

CURRICULUM