lesson 5 solving linear equations

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Entry Activity • Know addition and subtraction facts to 20 = 20 = 18

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Page 1: 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

Page 2: Lesson 5   solving linear equations

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

Page 3: Lesson 5   solving linear equations

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

Page 4: Lesson 5   solving linear equations

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

Original operation

Symbol

Inverse

New operation

Sym

bol

AddSubtractMultiplyDivide

Page 5: Lesson 5   solving linear equations

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

Page 6: Lesson 5   solving linear equations

Level 4Examples:

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

Page 7: Lesson 5   solving linear equations

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

Page 8: Lesson 5   solving linear equations

Using your planners show me how you found this

Page 9: Lesson 5   solving linear equations

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

Page 10: Lesson 5   solving linear equations

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

Page 11: Lesson 5   solving linear equations

Level 4Example:

a + 3 = 9 b – 2 = 6 3 – c = 1

Page 12: Lesson 5   solving linear equations

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

Page 13: Lesson 5   solving linear equations

Using your planners show me how you found this

Page 14: Lesson 5   solving linear equations

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

Page 15: Lesson 5   solving linear equations

Level 4Example:

a = 5 b = 7 c = 22 3 8

Page 16: Lesson 5   solving linear equations

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

Page 17: Lesson 5   solving linear equations

Using your planners show me how you found this

Page 18: Lesson 5   solving linear equations

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

Page 19: Lesson 5   solving linear equations

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

Page 20: Lesson 5   solving linear equations

Solve linear equations with more than one term Level 5

4a + 3 = 11

Page 21: Lesson 5   solving linear equations

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

Page 22: Lesson 5   solving linear equations

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?

Page 23: Lesson 5   solving linear equations

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

Page 24: Lesson 5   solving linear equations

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

Page 25: Lesson 5   solving linear equations

Extension Task – Level 5

Page 26: Lesson 5   solving linear equations

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

Page 27: Lesson 5   solving linear equations

Using your planners show me how you found this

Page 28: Lesson 5   solving linear equations

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

Page 29: Lesson 5   solving linear equations

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

Page 30: Lesson 5   solving linear equations

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

Page 31: Lesson 5   solving linear equations

PlenaryPick a box from below to copy and

complete in your book

Today the most important thing I have

learned is...

Next time I do a this topic I will make sure I...

One thing I need to remember from today's

lesson is...

One thing I have found hard today is...