Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Simplifying Simple Expressions

Learn to simplify algebraic expressions by collecting like terms. Discover which terms can be combined and which must stay apart, using a visual bags-and-cubes model.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is one way to write the same letter three times: n + n + n. Is there a neater way to write three of the same letter added together?

    2 - Watch and Notice ~9 mins

    Think of each x as a bag with an unknown number of cubes inside, and each plain number as loose cubes on the table. Watch three expressions get tidied up on the board. Before each answer appears, predict which cards match and can be pushed together, and which have to stay apart. Then we check.

    In the second, a lone loose number had nothing to join. In this last one, be ready to say what the two loose numbers, 5 and 1, make when they join.

    3 - Try It Together ~10 mins

    Sort the scattered cards into two groups. Put the x-bags (the x-terms) in one place. Put the loose cubes (the plain numbers) in the other. The cards on screen are 5x, 2, 3x, x and 4. When they are sorted, say the simplified expression aloud.

    Sort the bags from the loose cubes

    4 - Collect the Like Terms in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, simplify each of these expressions by collecting like terms. Before you combine anything, underline the like terms in matching colours — all the x-terms one colour, all the plain numbers another.

    • 4x + 3 + 2x
    • x + x + 5 + 1
    • 5x + 2 + 3x
    • 6x + 5 + 2x + 1

    Write the simplified expression at the end of each line.

    5 - Class Challenge ~8 mins

    Sort the scattered terms into the right groups, then write the simplified expression underneath. The sets get harder as you go. The first has two x-terms and one number. The next has two x-terms with two numbers. The later ones mix three x-terms with two numbers. Predict how many x-bags and how many loose cubes each set will end with before you check.

    Sort, then simplify

    Pupil practice
    Module 10 · Algebra: Patterns, Expressions and Equations Mixed
    Lesson 110 · Simplifying Simple Expressions
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