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# Simplifying Algebra

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by

## Mr Mattock

on 2 November 2017

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#### Transcript of Simplifying Algebra

Simplifying Algebra
Starter
Simplifying Algebra with lengths
L.O. - To simplify any algebraic expression by collecting like terms.
Dice of Ultimate Power

1) Give a key word for the lesson.
2) Summarise one key point for the
lesson.
3) Explain one thing you have learned this
lesson.
4) State one thing you still don't understand following this lesson.
5) Suggest one thing you would like to find out
based on this lesson.
6) Free choice from 1 to 5, or another you make
up.
4a + 2b + 6a - 3b

4a + 2 + 6a - 3
Simplifying Algebra with lengths
4a + 2b + 6a - 3b

4a + 2 + 6a - 3
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= 10a - b
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1
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= 10a - 1
4t - 3t - 2t + t
2
2
4t - 3t - 2t + t
2
2
= 2t - 2t
2
Collecting Like Terms
Draw diagrams to show the expressions
and how they can be collected together.
Collecting Like Terms
Draw arrows to show the expressions
and how they can be collected together.
(1) 4a + 2b (2) 3c + 3d (3) 5e + 3f (4) h

(1) 5a + 4b (2) 5c + d (3) 5e + f (4) 3g

(1) 3a - 2b (2) 3c - 2d (3) 4e - 5f (4) -g-2h

(1) a - 2b (2) d - c (3) 2e - f (4) -3g - 2h
Write down an easier way to get from the start to the end for each journey.
7 large steps forward, 5 small steps forward, 3 large steps forward, 2 small steps forward.
7 large steps forward, 5 small steps forward, 3 large steps forward, 2 small steps back.
7 large steps forward, 5 small steps forward, 3 large steps back, 2 small steps back.
7 large steps forward, 5 small steps back, 3 large steps back, 2 small steps back.
Starter
Write down an easier way to get from the start to the end for each journey.
7 large steps forward, 5 small steps forward, 3 large steps forward, 2 small steps forward.
10 large steps forward and 7 small steps forward.
7 large steps forward, 5 small steps forward, 3 large steps forward, 2 small steps back.
10 large steps forwards and 3 small steps forward.
7 large steps forward, 5 small steps forward, 3 large steps back, 2 small steps back.
4 large steps forward and 3 small steps forward.
7 large steps forward, 5 small steps back, 3 large steps back, 2 small steps back.
4 large steps forward and 7 small steps back.
Key
Examples

Activity