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Going Bananas

Achievement Objectives:

Achievement Objective: NA4-2: Understand addition and subtraction of fractions, decimals, and integers.
AO elaboration and other teaching resources
Achievement Objective: NA4-7: Form and solve simple linear equations.
AO elaboration and other teaching resources
Achievement Objective: NA4-9: Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.
AO elaboration and other teaching resources

Purpose: 

The purpose of this activity is to engage students in solving problems using integer values.

Description of mathematics: 

The background knowledge and skills that need to be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students' skills and depth of understanding.

Activity: 


To make a frozen banana dessert, Mad Martha drops a banana into a flask of liquid nitrogen, which she measures to be at a temperature of 68
°K.

The Kelvin, K, is a unit of temperature that starts at zero (which is the same temperature as -273°C) and goes up at the same rate as degrees Celsius.

What is the temperature of the liquid nitrogen in the flask, in degrees Celsius?
 

The arithmetic approach  (show more)

  • The student is able to form and solve appropriate integer equations in order to find the solution to the problem.

The conceptual approach  (show more)

  • The student is able to find a method of solution that solves an integer problem.
  • The students are encouraged to use visual representations for negative numbers, such as number lines, graphs or thermometer diagrams.
AttachmentSize
GoingBananas_full.pdf653.78 KB
GoingBananas_arithmetic.pdf197.36 KB
GoingBananas_conceptual.pdf197.42 KB