lesson 5 solving linear equations

Entry Activity• Know addition and subtraction facts to 20

= 20 = 18

You decide

Must be 2 less than box below

Must be the same number as blue box

A number more than 10

A number less than 10

Today I will learn to solve linear equations with one term Level 4

Challenge Objective:Solve linear equations with more than

one term Level 5

Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,

Divide

•All will solve equations like 4x = 12•Most will solve equations like 6 – x = 4•Some will solve equations like 2x – 5 = 15

What does inverse mean and why is it important in algebra?

Original operation

Symbol

Inverse

New operation

Sym

bol

AddSubtractMultiplyDivide

What does inverse mean and why is it important in algebra?

Original operation

Symbol

Inverse

New operation

Sym

bol

Add + Subtract -Subtract - Add +Multiply x Divide ÷Divide ÷ Multiply x

Level 4Examples:

4a = 12 6b = 18 2c = 14

Answers

a 5 b 6 c 3 d 2 e 4 f 6

g 2 h 5 i 2 j 5 k 9 l 8

m 3 n 7 o 8 p 6

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Today I will learn to solve linear equations with one term Level 4

Challenge Objective:Solve linear equations with more than

one term Level 5

Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,

Divide

•All will solve equations like 4x = 12•Most will solve equations like 6 – x = 4•Some will solve equations like 2x – 5 = 15

Level 4Example:

a + 3 = 9 b – 2 = 6 3 – c = 1

Answers

a 5b 6 c 2 d 4 e 4 f 8

g 11 h 14 i 8 j 4 k 6 l 10

m 1 n 8 o 13 p 11

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Today I will learn to: Do: Check:

Solve linear equations with one term Level 4

Solve equations like 4x = 12

All will solve equations like 4x = 12Most will solve equations like 6 – x = 4Some will solve equations like 2x – 5 = 15

Challenge Objective:Solve linear equations with more than one term Level 5

Solve equations such as 2x – 5 = 10

Key WordsSolve, Linear, Term, Inverse, Add,

Subtract, Multiply, Divide

Level 4Example:

a = 5 b = 7 c = 22 3 8

Answers

a 10 b 28 c 33 d 30 e 32 f 12

g 24 h 90 i 33 j 21 k 45 l 32

m 30 n 64 o 40 p 81

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Today I will learn to solve linear equations with one term Level 4

Challenge Objective:Solve linear equations with more than

one term Level 5

Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,

Divide

•All will solve equations like 4x = 12•Most will solve equations like 6 – x = 4•Some will solve equations like 2x – 5 = 15

Solve linear equations with more than one term Level 5

4a + 3 = 11

Solve linear equations with more than one term Level 5

4a + 3 = 114a + 3 = 11

Step 1 – cover up the term with the letter attached to it

Solve linear equations with more than one term Level 5

4a + 3 = 114a + 3 = 11

Step 1 – cover up the term with the letter attached to it

Step 2 – what must the blue box (4a) be?

Solve linear equations with more than one term Level 5

4a + 3 = 114a + 3 = 11

4a = 8

Step 1 – cover up the term with the letter attached to it

Step 2 – what must the blue box (4a) be?

Step 3 – write down what the blue box (4a) equals

Solve linear equations with more than one term Level 5

4a + 3 = 114a + 3 = 11

4a = 8a = 4

Step 1 – cover up the term with the letter attached to it

Step 2 – what must the blue box (4a) be?

Step 3 – write down what the blue box (4a) equals

Step 4 – solve the last step, like you did earlier

Well done you have solved a level 5 question

Extension Task – Level 5

Answers

a 4 b 2 c 6 d 7 e 5 f 9

g 3 h 7 i 4 j 1 k 8 l 5

m 3 n 8 o 5 p 8

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Today I will learn to solve linear equations with one term Level 4

Challenge Objective:Solve linear equations with more than

one term Level 5

Key WordsSolve, Linear, Term, Inverse, Add, Subtract, Multiply,

Divide

Show me what you have learned today

Level 4• All will solve equations like 4x = 12• Most will solve equations like 6 – x = 4

Level 5• Some will solve equations like 2x – 5 = 15

Show me what you have learned today

Level 4• All 4x = 12 Answer x = 3• Most 6 – x = 4 Answer x = 2

Level 5• Some 2x – 5 = 15 Answer x = 5

PlenaryPick a box from below to copy and

complete in your book

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