Negative Number Calculations

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Presentation transcript:

Negative Number Calculations On your whiteboards: Show me… a simple addition question that gives the answer 0 a simple subtraction question that gives the answer -3 can you show me a harder example? a simple addition question that gives the answer -12 can you show me a harder example? a simple subtraction question that gives the answer -4 can you show me a harder example?

Negative Number Calculations (+5) + (-4) = Don’t work it out yet. What does this actually say? Why are there brackets? Do we need them? Is that any different to +5 + -4 = Why are there some big spaces? Is that any different to +5+ -4 = Why is there a ‘+’ at the beginning? Is that any different to 5+ -4 = Why is there a ‘+’ and ‘-’ together in the middle? Is that any different to 5 - 4 =

Negative Number Calculations (+5) + (-4) = Important: 5 + -4 has the same answer to 5 – 4, but a different meaning. Just like 10 – 5 has the same answer to 7 – 2, but has a different meaning.

Negative Number Statements In pairs, you will soon cut out and arrange your cards in following three piles: Always True Sometimes True Never True You will then make a poster with the cards, explaining in detail why each card is Always, Sometimes or Never true.

Negative Number Statements Posters will look something like this…

Negative Number Statements Important… Each card only contains an example calculation. But you need to decide if the statement is: ALWAYS true SOMETIMES true NEVER true Think of examples with large and small numbers. Try to think of examples with decimals or fractions too.

Negative Number Statements What your posters should show: If it’s ALWAYS true: Give a variety of examples showing it’s true If it’s SOMETIMES true: Give some examples showing when it’s true, and some when it’s not. If it’s NEVER true: Explain why you are sure it CANNOT be true.

Negative Number Statements Let’s check… What are you going to do? Step 1. Cut and sort statements into: Always, Sometimes, Never true Step 2. Create poster explaining why. If it’s ALWAYS true: Give a variety of examples showing it’s true If it’s SOMETIMES true: Give examples of true and false. If it’s NEVER true: Explain why it CANNOT be true.

Negative Number Statements PAUSE… Progress check Cut and stick these worksheets onto your poster too. Further tips to help you: Tip #1: Complete these simple worksheets

Negative Number Statements Continue… What you should have done: Step 1. Cut and sort statements into: Always, Sometimes, Never true What you should be doing now: Step 2. Create poster explaining why. If it’s ALWAYS true: Give a variety of examples showing it’s true If it’s SOMETIMES true: Give examples of true and false. If it’s NEVER true: Explain why it CANNOT be true.

Negative Number Statements PAUSE… Progress check Further tips to help you: Tip #2: Use a calculator to help check your answers. (-5) + (+7) Subtraction button. Positive/Negative button. -5 + +7 = Type in calculator as:

Check that you have… Written your names on your poster Step 2. Created poster explaining why. If it’s ALWAYS true: Give a variety of examples showing it’s true If it’s SOMETIMES true: Give examples of true and false. If it’s NEVER true: Explain why it CANNOT be true. Done this? Given examples of lots of types of numbers…large/small/zero/decimals…

Negative Number Statements Quickly & neatly clear up all equipment

Negative Number Statements So, which statements are ALWAYS true?