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Cats and bods

Achievement Objectives:

Achievement Objective: NA4-1: Use a range of multiplicative strategies when operating on whole numbers.
AO elaboration and other teaching resources
Achievement Objective: NA4-4: Apply simple linear proportions, including ordering fractions.
AO elaboration and other teaching resources
Achievement Objective: NA4-7: Form and solve simple linear equations.
AO elaboration and other teaching resources

Purpose: 

The purpose of this activity is to engage students in solving a problem involving the multiplicative strategies that form the basis of early algebraic investigation.

Description of mathematics: 

The background knowledge and skills that need to be established before and/or during this task 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: 

 
 

In our household, there are twice as many cats as humans, with sixty legs in total.

How many cats are there to be fed?

 

The procedural approach  (show more)

  • The student is able to represent the problem in such a way that leads to a solution.

The arithmetic approach  (show more)

  • The student is able to explore, with appropriate calculations, to solve a problem based on a given pattern.

The conceptual approach  (show more)

  • The student is able to find the solution to a problem involving patterns.
AttachmentSize
CatsAndBods_full.pdf582.44 KB
CatsAndBods_arithmetic.pdf206.66 KB
CatsAndBods_conceptual.pdf206.22 KB
CatsAndBods_procedural.pdf299.8 KB