Solving Algebra Problems: Finding Values of Fruits

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Consider a problem where the number of pears, lemons, and oranges are given with specific relationships between them. By applying algebraic reasoning and solving equations with two unknowns, you can determine the values of the fruits. This engaging exercise aligns with the new curriculum's focus on developing reasoning skills and problem-solving abilities in students.


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  1. Algebra Key Stage 2 Video 2.4 Using algebra to solve problems

  2. 2.4 Using algebra to solve problems Consider the boy s reasoning when he says: There s two pears and a lemon and there s two pears and an orange that means a lemon is seven greater than an orange. Work through the problem on the following slide and consider the strategies you would use to solve the problem.

  3. The Problem 46 35 42 Can you find the value of an orange, a lemon and a pear from the information you have been given?

  4. Linking to the new curriculum find pairs of numbers that satisfy an equation with two unknowns (NC p42) Consider how the activity addresses this programme of study statement and enables higher attaining children to develop depth of reasoning.

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