Your Basket 0 items - £0.00

Students learn how to use written methods to order and calculate with negative numbers. Learning progress from performing arithmetic on a number line to multiplying and dividing with negatives.

This topic takes place in Term 2 of Year 9 and follows Properties of Numbers.

**Prerequisite Knowledge**

- count backwards through zero to include negative numbers
- interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
- use negative numbers in context, and calculate intervals across zero

**Success Criteria**

- order positive and negative integers
- apply the four operations, including formal written methods, to integers, both positive and negative

**Key Concepts**

- To order negative and positive numbers temperatures can be placed along a thermometer.
- Use a number line to demonstrate how negative number is less than its positive counterpart but of equal magnitude.
- Use a number line to demonstrate addition and subtraction involving negative and positive numbers.
- Adding a negative is equivalent to a subtraction. ( 4 + -2 = 4 – 2)
- Understanding why subtracting a negative results in an addition is vital to multiplying and dividing with negative numbers.

**Common Misconceptions**

- Students often incorrectly consider negative numbers with a larger magnitude than positives to have a greater value. For example, -3 < 2.
- Common incorrect answers to -4 + 6 are -2 (4 – 6) and -10 (-4 – 6)
- Trying to remember multiplication rules for when to leave the answer as a positive or negative often results in confusion when adding and subtracting. Use a number line to demonstrate -3 x 2 = -3 + -3 = 6.

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

December 20, 2020

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.