8: Advanced Proportional - Addition and Subtraction

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Manu and Rangi are eating chocolates, Manu eats half of his box and Rangi eats two thirds of his box. How many boxes of chocolates are left?

Student: Half of Manu's box is left and one third of Rangi's box is left. One half is three sixths and one third is two sixths. Together there is five sixths left.

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Students at the Advanced Proportional stage are learning to select from a repertoire of part-whole strategies to solve and estimate the answers to problems involving fractions, proportions, and ratios. These strategies are based on finding common factors and include strategies for the multiplication of decimals and the calculation of percentages.