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Negative Numbers Adding and Subtracting Negative numbers

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Negative Numbers. Adding and Subtracting Negative numbers. Name: Never heard it before word grid:. (–8) + (–3). (+3) – (+8). (+8) – (+3). (–8) – (–3). (–3) + (+8). Copy the questions and write the answers into your book - PowerPoint PPT Presentation

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Page 1: Negative Numbers

Negative Numbers

Adding and Subtracting Negative numbers

Page 2: Negative Numbers

Number skills - Calculate using mental and written methods - Negative numbers

Bronze Yr 4

SilverYr 5

GoldYr 6

PlatinumYr 7 Yr 8 Yr 9

Identify negative whole numbers on a number lineOrder whole numbers between -10 and 10

Order negative and positive numbers, including decimals to 1 decimal place

Add or subtract negative or positive numbers using a number line

add and subtract with negative numbers using mental methods

multiply and divide with negative numbers using mental methods

use the four operations in multistep calculations involving negative numbers, using mental and written methods

Page 3: Negative Numbers

Vocabulary Never heard it

Heard it but not

sure

Know it and can give examples about it

number line

negative numbers

positive numbers

four operations

mental method

written method

Name:Never heard it before word grid:

Page 4: Negative Numbers

(–8) – (–3)(+8) – (+3)

(+3) – (+8)

(–3) + (+8)

(–8) + (–3)

(+8) – (–3)

•Copy the questions and write the answers into your book

•Choose two of the questions and explain your answers below using words or diagrams or both.

Page 5: Negative Numbers
Page 6: Negative Numbers
Page 7: Negative Numbers

Why is this ‘4’?

4

Page 8: Negative Numbers

How much is this?

Page 9: Negative Numbers

Making 3

Show me three more ways of making 3.

Can you do one using 11 charges altogether?

Page 10: Negative Numbers

How much is this?

Page 11: Negative Numbers

How much is this?

–2

Page 12: Negative Numbers

How much is this?

Page 13: Negative Numbers

How much is this?

0

Page 14: Negative Numbers

How much is this?

Page 15: Negative Numbers

How much is this?

+3

Page 16: Negative Numbers

How would you describe what happens here?

Page 17: Negative Numbers

How would you describe what happens here?

Page 18: Negative Numbers

How would you describe what happens here?

(+4) +

Page 19: Negative Numbers

How would you describe what happens here?

(+4) + (-2) =

Page 20: Negative Numbers

How would you describe what happens here?

(+4) + (-2) = +2

Page 21: Negative Numbers

What about this?

+2

Page 22: Negative Numbers

What about this?

What do we get when we take away a negative?

Page 23: Negative Numbers

What about this?

(+2) -

Page 24: Negative Numbers

What about this?

(+2) – (–1) =

Page 25: Negative Numbers

What about this?

(+2) – (–1) = (+3)

Page 26: Negative Numbers

Another example

Page 27: Negative Numbers

Another example

+1

Page 28: Negative Numbers

Another example

(+1) – (–2)

Page 29: Negative Numbers

Another example

(+1) – (–2) = +3

Page 30: Negative Numbers

Number skills - Calculate using mental and written methods - Negative numbers

Bronze /Silver Gold Platinum Yr 8 Yr 9

Identify negative whole numbers on a number lineOrder whole numbers between -10 and 10

Order negative and positive numbers, including decimals to 1 decimal place

Add or subtract negative or positive numbers using a number line

add and subtract with negative numbers using mental methods

multiply and divide with negative numbers using mental methods

use the four operations in multistep calculations involving negative numbers, using mental and written methods

Use two different coloured counters to help you.

Check your answers with each other on MWB before you decide where each picture goes.

Go through and write your answers in without looking at the diagrams. Then use the cards and draw diagrams to convince someone else in your group that your answers are correct.

Come up with a diagram that uses + and – symbols to explain calculations which use x and ÷

See if you can convince other people in your group that your diagrams work to shoe x and ÷

See if you can convince other people in your group that your diagrams work to shoe x and ÷

Page 31: Negative Numbers

Working together 11. Choose one of the three cards and match it with one of the

calculations.

2. Write the answer to the calculation after the equals sign.

3. Check that the answer matches what you see in the drawing.

4. Do the same with the other two cards.

5. Make up drawings to fit the remaining three calculations and write down the answers to those three calculations.

6. The answers should match the drawings.

7. Everyone in the group should agree.

Page 32: Negative Numbers
Page 33: Negative Numbers
Page 34: Negative Numbers

Calculations (1)

Page 35: Negative Numbers

How can I draw (+2) – (+5)?

Page 36: Negative Numbers

How can I draw (+2) – (+5)?

Another way of thinking of (+2)…

Page 37: Negative Numbers

How can I draw (+2) – (+5)?

And another...

Page 38: Negative Numbers

How can I draw (+2) – (+5)?

And another...

Do you agree that this is still (+2)?

Page 39: Negative Numbers

How can I draw (+2) – (+5)?

How can I take away (+5)?

Page 40: Negative Numbers

How can I draw (+2) – (+5)?

(+2) – (+5) =

Page 41: Negative Numbers

How can I draw (+2) – (+5)?

(+2) – (+5) = (-3)

Page 42: Negative Numbers

Number skills - Calculate using mental and written methods - Negative numbers

Bronze /Silver Gold Platinum Yr 8 Yr 9

Identify negative whole numbers on a number lineOrder whole numbers between -10 and 10

Order negative and positive numbers, including decimals to 1 decimal place

Add or subtract negative or positive numbers using a number line

add and subtract with negative numbers using mental methods

multiply and divide with negative numbers using mental methods

use the four operations in multistep calculations involving negative numbers, using mental and written methods

Use two different coloured counters to help you.

Check your answers with each other on MWB before you decide where each picture goes.

Go through and write your answers in without looking at the diagrams. Then use the cards and draw diagrams to convince someone else in your group that your answers are correct.

Come up with a diagram that uses + and – symbols to explain calculations which use x and ÷

See if you can convince other people in your group that your diagrams work to shoe x and ÷

Choose two different positive integers less than 10. Make a new table showing all the possible addition and subtraction calculations if either number could be positive or negative. Try to work out the answers, use diagrams if you need to.

Page 43: Negative Numbers

Working together 21. Choose one of the three cards and match it with one of the

calculations.

2. Write the answer to the calculation after the equals sign.

3. Check that the answer matches what you see in the drawing.

4. Do the same with the other two cards.

5. Make up drawings to fit the remaining three calculations and write down the answers to those three calculations.

6. The answers should match the drawings.

7. Everyone in the group should agree.

Page 44: Negative Numbers
Page 45: Negative Numbers

Calculations (2)

Page 46: Negative Numbers