Lesson 21 Expressions and equations
Lesson plan
Piagetian Level | Learners Thinking and abstract of the activity | ||
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3 B Mature Formal |
Constructing an equation and solving it using the rules of algebra | ||
3A Early Formal |
Solving equations by re-arrangement of expressions 4n+ 20 = 32 |
(Solve for 'a' given that the perimeters are equal) |
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Handling the abstract symbolism of brackets | 6 x 14 = 6 x (10 + 4) = 6 x 10 + 6 x 4 |
3a + 15 = 25 by trial and improvement, starting with a = 1 3x + 5 = 2x + 9 |
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2B* Concrete Generalisation |
Intuitive understanding of distributivity | 5 x 17 = 5 x 10 + 5 x 7 = 50 + 35 = 85 |
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Substituting in an expression | 3a + 15, when a = 10 | ||
Operating on specific numbers | 4 + 5 = 9 = 6 + 3 = 2 + 2 + 3 + 2 |
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Mature concrete |
Episode 1 Expressions- the equals sign |
Episode 2 Handling expressions and equations |
Episode 3 Constructing an equation to solve a problem |