Year 7 Negative Numbers Dr J Frost jfrosttiffin

Year 7 Negative Numbers Dr J Frost (jfrost@tiffin. kingston. sch. uk) www. drfrostmaths. com Objectives: Add, subtract, multiply and divide negative numbers, as well as raise a negative number to a power. Last modified: 22 nd July 2018

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For Teacher Use: Recommended lesson structure: Lesson 1: Adding, subtracting negative numbers. Lesson 2: Multiplying, dividing and mixed questions.

Visualising negatives with a number line -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 For any addition/subtraction of numbers, you should ALWAYS visualise a number line. How would we visualise the following? Click > Bro Tip: Notice that the answer is always either the sum of the two numbers (ignoring sign) or the difference.

Test Your Understanding Copy and complete the following. a b c ? ? ? d e f g h ? ? ? N ?

Adding/subtracting negative numbers What is the answer. How could we show it? ? ? ?

Common Misunderstanding: “Two minuses make a plus!” What did they do wrong? Two minuses only become a plus when they’re next to each other. If we think about a number line can ? see the above doesn’t make sense. Quickfire Questions: ? ? ? ? Check Your Understanding: ? ? ? ?

Exercise 1 1 a b c d e f g h i j k l m n 2 a b c d e f ? ? ? ? ? 3 ? 4 ? 5 ? 6 ? 7 ? ? 8 ? ? ? N ?

Multiplying Negative Numbers ? ? ?

Multiplying Negative Numbers ? ?

Quickfire Examples ? ? ? ? ?

Use your diary coloured cards to vote for the correct answer in each question. (Use the front of your diary for blue) RED ORANGE GREEN BLUE

Exercise 2 1 a b c d e f g ? ? ? 4 ? 2 a b c d 3 a b c d e ? ? ? a b c d e f 5 b c d ? e ? ? a ? ? ? ? ?