Negative Numbers Adding and Subtracting Negative numbers

Number skills - Calculate using mental and written methods - Negative numbers Bronze Yr 4 Silver Yr 5 Gold Yr 6 Platinum Yr 7Yr 8Yr 9 Identify negative whole numbers on a number line Order 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

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:

(–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.

Why is this ‘4’? 4

How much is this?

Making 3 Show me three more ways of making 3. Can you do one using 11 charges altogether?

How much is this?

–2

How much is this?

0

+3

How would you describe what happens here?

(+4) +

How would you describe what happens here? (+4) + (-2) =

How would you describe what happens here? (+4) + (-2) = +2

What about this? +2

What about this? What do we get when we take away a negative?

What about this? (+2) -

What about this? (+2) – (–1) =

What about this? (+2) – (–1) = (+3)

Another example

+1

Another example (+1) – (–2)

Another example (+1) – (–2) = +3

Number skills - Calculate using mental and written methods - Negative numbers Bronze /SilverGoldPlatinumYr 8Yr 9 Identify negative whole numbers on a number line Order 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 ÷

Working together 1 1.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.

Calculations (1)

How can I draw (+2) – (+5)?

Another way of thinking of (+2)…

How can I draw (+2) – (+5)? And another...

How can I draw (+2) – (+5)? And another... Do you agree that this is still (+2)?

How can I draw (+2) – (+5)? How can I take away (+5)?

How can I draw (+2) – (+5)? (+2) – (+5) =

How can I draw (+2) – (+5)? (+2) – (+5) = (-3)

Number skills - Calculate using mental and written methods - Negative numbers Bronze /SilverGoldPlatinumYr 8Yr 9 Identify negative whole numbers on a number line Order 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.

Working together 2 1.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.

Calculations (2)