Lesson 21 Expressions and equations

Lesson plan

Piagetian Level Learners Thinking and abstract of the activity  
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)
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
2B*
Concrete
Generalisation
Intuitive understanding of distributivity 5 x 17 = 5 x 10 + 5 x 7
= 50 + 35 = 85
Substituting in an expression 3a + 15, when a = 10
Operating on specific numbers 4 + 5 = 9 = 6 + 3
= 2 + 2 + 3 + 2
Mature
concrete
Episode 1
Expressions- the equals sign
Episode 2
Handling expressions and equations
Episode 3
Constructing an equation to solve a problem

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Thinking Mathematics Lessons Copyright © by Michael Shayer and Mundher Adhami. All Rights Reserved.

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