Showing temperature changes

Showing temperature changes

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about showing and writing equations with negative numbers on number lines.
On Day 1 of a week the temperature changed from 5°C below (⁻5°C) to 5°C above zero (+5°C), as shown on the number line below.
This change may also be written as an equation: ⁻5°C + 10°C = 5°C.
 
number line from negative 8 to 8
a)
For Day 2 the temperature change was from 6°C below zero to 2°C below.
 
 
i)
Draw the temperature change on the number line below, using an arrow to show the direction of the change.
 
 
 
blank number line from negative 8 to 8
 
  ii)
Write an equation to show the change in temperature for Day 2. ____________________
 
b)
For Day 3 the temperature change was from 3°C below zero to 4°C above.
 
 
i)
Draw the temperature change on the number line below.
 
 
 
blank number line from negative 8 to 8
 
  ii)
Write an equation to show the change in temperature for Day 3. ____________________
 
a)
For Day 4 the temperature change was from 4°C below zero to 8°C below.
 
 
i)
Draw the temperature change on the number line below.
 
 
 
blank number line from negative 8 to 8
 
  ii)
Write an equation to show the change in temperature for Day 4. ____________________
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Key Competencies: 
Using language, symbols, and texts
Keywords: 
negative numbers, number lines, number sentences, equations
Description of task: 
Students show temperature movements on a number line including negative numbers, and write the movement as an equation.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (11/1996)
a) i)

ii)

⁻6°C + 4C = ⁻2°C [Accept ⁻6 + 4 = ⁻2]

 easy

difficult
b) i)

ii)

⁻3°C + 7°C = 4°C [Accept ⁻3 + 7 = 4]

 very easy

moderate
c) i)

ii)

⁻4°C + ⁻4°C = ⁻8°C [Accept ⁻4 + ⁻4 = ⁻8 or ⁻4 - 4 = ⁻8]

 easy

difficult