Starter quiz
- In the expression x−7 the −7 is a constant. What do we call the x?
- An exponent.
- A variable term. ✓
- An equation.
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- Match the expressions to their simplified form.
- x+x⇔2x ✓
- x×x⇔x2 ✓
- x×y⇔xy ✓
- y×y⇔y2 ✓
- y+y⇔2y ✓
- This area model helps us with which multiplication?
- 9x×7
- 7×9x
- 9(x+7) ✓
- 7(x+9)
- 9×7x
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- This area model is used to expand 9(x+7). What is hidden by the ink blots?
- 9x and 7
- 63x
- 9x and 63 ✓
- 9x and 16
- 7x and 63
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- Using distributive law 6(2x+3+y) can also be written as which of the below?
- 12x+18+6y ✓
- 62x+3+y
- 36xy
- 30xy
- 6+2x+3+y
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- Match together the expressions which are always equal to each other.
- 2(x+5)⇔2x+10 ✓
- 2(x−5)⇔2x−10 ✓
- −2(x−5)⇔10−2x ✓
- −2(x+5)⇔−2x−10 ✓
Exit quiz
- In the expression 5b4+7, the 4 is __________.
- an equation
- a term
- an exponent ✓
- a multiplier
- a constant
-
- Expand x(x+1)
- 2x+1
- 2x+2
- 2x+x
- x2+x ✓
- x2+1
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- Algebra tiles shown are being used to model which of these?
- x(x+1)
- x(x+4) ✓
- 2(x+4)
- x(x2+4x)
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- What is hidden by the ink blots in this area model?
- 2a and 9a2
- 2a2 and 9a
- a3 and 9a
- 9a3 and 9a2
- a3 and 9a2 ✓
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- Expand 2e2(3e+7f−5)
- 6e3+14e2f−10e2 ✓
- 2e3+14e2f−10e2
- 6e3+14ef−10e2
- 6e3+14e2f−10e
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- Expand −5y2(3x−4y3)
- 20y5−15xy2 ✓
- 15xy2−20y5
- 20y5−15x2y
- −15xy2−20y5
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Worksheet
Presentation
Video
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Lesson Details
Key learning points
- The distributive law can make multiplication easier.
- The distributive law can be understood using an area model.
- A bar model can be used to represent the distributive law.
- An expression can be multiplied by any term.
Common misconception
How to deal with exponents. y^2 times by y makes 3y. Or at least has a coefficient that is not 1.
Unsimplifying first. Not sure? Break it down. What is it? a^2 is a x a. So a^2 x a must be a x a x a.
Keywords
Constant - A constant is a term that does not change; it contains no variables.
Variable - A variable is a quantity that can take on a range of values.
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