LO Add and subtract with negative numbers Prior
LO: Add and subtract with negative numbers Prior learning: • Ordering negative numbers • Adding and subtracting using number line Plan for adding and subtracting • Use of number line with negatives as starting points or ending points • Context questions • Introduce double sided counters • Zero pair • Playing with counters • Adding a negative and seeing result • Quick questions • Subtracting a negative and seeing result • Quick questions • Mixture of adding and subtracting negative numbers 25/05/2021
How would you explain using a number line to calculate these? Start Direction Distance + - 7 - 5= 7 + 5= -5 + 7 = -5 - 7 =
Start Direction Distance + -
What information can you read from the table? Day Monday Maximum Minimum temperature 5 °C 4 °C Tuesday 8 °C 6 °C Wednesday 6 °C – 2 °C Thursday – 1 °C – 4 °C Friday – 3 °C – 6 °C Difference The maximum temperature on Saturday was 10 o lower than the maximum temperature on Tuesday. The minimum temperature on Saturday was 2 o higher than the minimum temperature on Friday.
Worded Questions
Introducing double sided counters 1 1 1 1 1 -1 Mathsbot
The zero pair: 1 -1 1 -1 Mathsbot
We can use algebra tiles to form any integer. Find 3 different ways to represent the integers: 5 -3 Mathsbot
What happens: 5 + -3 = 1 1 1 2 + -3 = 1 1 -2 + -3 = -1 -1 6 + -4 = -1 2 + -4 = -1 -1 -1 -3 + -4 = If we add a negative integer, the result is s_______. Adding a negative means we need to go d_____ on the number line.
Use your counters to work out the following: 6 + -4 = 2 1 1 1 2 + -4 = -2 1 1 -3 + -4 = -7 -1 -1 -1 -1 1 -1
If you add a negative number you are actually subtracting 2+ -3 = 2– 3= Quick Questions: a) 7 + -5 = f) -3 + -10 = b) 5 + -7 = g) 3 + -10 = c) -7 + -5 = h) 3 + -7 = d) -5 + -7 = i) 7 + -3 = e) -7 + - 10 = j) -4 + -3 = k) -3 + -4 = Start -+ - Direction Distance
Use your counters to work out the following: -5 - -3 = -2 -2 - -3 = 1 2 - -3 = 5 -1 -1 1 1 1 -1 -1 -1 -6 - -4 = -2 - -4 = 3 - -4 = If we subtract a negative integer, the result is b_______. Subtracting a negative means we need to go u_____ on the number line.
If you subtract a negative number you are actually adding 2 - -3 = 2+3= Quick Questions: a) 7 - -5 = f) -3 - -10 = b) 5 - -7 = g) 3 - -10 = c) -7 - -5 = h) 3 - -7 = d) -5 - -7 = i) 7 - -3 = e) -7 - - 10 = j) -4 - -3 = k) -3 - -4 = Start -+ Direction Distance
Whiteboards Out -9 + 5 15 + -7 6 - -4 4 -6 -10 + -5
Answers – green pens a) b) c) d) e) f) g) 8– 5=3 -3 + 6 = 3 2 – 10 = -8 5+-4=1 3 - -2 = 5 10 + - 12 = -2 9 – - 3 = 12 a) b) c) d) e) f) g) 1 – 5 = -4 -1 – 6 = -7 - 3 – 20 = -23 3 + - 4 = -1 - 9 + - 12 = -21 4 - -2 = 6 - 8 – - 3 = -5 a) b) c) d) e) f) g) 1. 5 – 5 = -3. 5 -4 – 62 = -66 - 13 – 29 = -42 53 + - 4 = 49 - 35 + - 12 = -47 4. 5 - -2. 5 = 7 - 8. 5 – - 3 = -5. 5
Lesson Review: Coloured cards ready
Learning objective – Lesson Review -8 + 15 7 -23 -7
Learning objective – Lesson Review -8 - 15 7 -23 -7
Learning objective – Lesson Review -8 - -15 7 -23 -7
Learning objective – Lesson Review 21 - -15 6 36 7
Learning objective – Lesson Review -21 - -15 -6 36 6
Learning objective – Lesson Review -3 – 4 - 6 7 -13 -1
Learning objective – Lesson Review -3 – -4 - 6 -7 -6 -5
- Slides: 24