Exploring algebra: variables to equations

These four lessons targeting Year 7 students, can be used as stand alone or as a sequence of lessons. Students engage in practical activities using physical materials to understand variables, construct algebraic expressions, substitute values into formulas, and solve one-variable linear equations, around authentic contexts to emphasise the relevance of formal algebra in everyday situations.

 

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  • Formulating algebraic expressions Image
    Formulating algebraic expressions

    In this lesson introduce the concept of variables using physical materials and explore the construction of algebraic expressions in authentic contexts.

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  • Line graph showing rabbit population growth over time on Gadigal land
    Expressions, formulas and substitution

    In this lesson, students build on their understanding of algebraic expressions. Explore substituting values into formulas to determine unknowns using a variety of contexts to reinforce the importance of algebra in real life.

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  • Solving equations with algebra mats Image
    Solving equations with algebra mats

    In this lesson, students are introduced to solving one-variable linear expressions using a variety of concrete materials, which are related to authentic contexts to enhance their understanding.

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  • Algebra mat with algebra tiles representing equation 3x = 15
    Using algebra tiles to solve equations

    In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.

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