Lesson 1 solving linear equations
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This document contains 20 math word problems to solve. The problems involve calculating unknown values in equations with addition, subtraction, multiplication and division. Answers to the problems are provided at the end. The purpose is for students to practice solving equations for unknowns. Additional challenges include problems with negative terms and fractions. Peer assessment is included where students review and provide feedback on each other's work.
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Lesson 1 solving linear equations
- 1. Entry Activity We are going to do 20 quick questions, as soon as we are ready the slides will move on... You need to find the
- 2. Question 1 2 x = 18
- 3. Question 2 3 x = 24
- 4. Question 3 18 - =8
- 5. Question 4 15 + = 31
- 6. Question 5 55 + = 110
- 7. Question 6 3 x = 18
- 8. Question 7 9 x x 3 = 21
- 9. Question 8 9 x - 5 = 15
- 10. Question 9 9 x + 80 = 150
- 11. Question 10 9 x ÷ 4=4
- 12. Question 11 990 ÷ = 10
- 13. Question 12 180 ÷ = 30
- 14. Question 13 45 - = 30
- 15. Question 14 30 + = 45
- 16. Question 15 23 - = 12
- 17. Question 16 12 x - =0
- 18. Question 17 15 ÷ =1
- 19. Question 18 10 ÷ = 0.1
- 20. Question 19 9 + =3
- 21. Question 20 2 7 + = 81
- 22. Answers 1)9 8)20 15)11 2)8 9)70 16)0 3)10 10)16 17)15 4)16 11)99 18)100 5)55 12)6 19)-6 6)6 13)15 20)9 7)7 14)15
- 23. Using your planners show me how you found this
- 24. Today I will learn to calculate unknowns with two terms Level 6 Challenge Objective: Calculate unknowns with fractions Level 6+ Key Words Equation, Generate, Term, Common, Unknown, Inverse, Fraction
- 25. •All will find unknowns with 2 positive terms •Most will find unknowns with a negative term •Some will find unknowns with a fraction
- 26. Level 6 • On the left hand side of the scales we have 3 identical bags of marbles and 2 loose marbles. • On the right hand side of the scales we have 17 loose marbles. • Who can make an equation to show this?
- 27. Level 6 3b + 2 = 17 1) 4c + 9 = 25 2) 7d + 3 = 24 3) 9e + 2 = 20 4) 11f – 2 = 20 5) 30g – 4 = 56 6) 3h – 6 = 12
- 28. Using your planners show me how you found this
- 29. Today I will learn to calculate unknowns with two terms Level 6 Challenge Objective: Calculate unknowns with fractions Level 6+ Key Words Equation, Generate, Term, Common, Unknown, Inverse, Fraction
- 30. •All will find unknowns with 2 positive terms •Most will find unknowns with a negative term •Some will find unknowns with a fraction
- 32. Level 6
- 33. Peer Assessment On your partners work, mark the work they have done and write: • 1 thing that they have done well • 1 thing they need to do to improve Get ready we will be sharing!
- 34. Answers – Level 6 1 a 4 b 4 c 5 d 4 e 5 f 3 g 2 h 10 i 3 j7 k4 l5 m1 n 8 o 4 p 2 2 a 15 b 3 c 3 d 4 e 8 f 6 g 4 h 4 i 4 j3 k2 l5 m 2 n 4 o 3 p 6 3 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 10 o 5 p 8 4 a 7 b 4 c 13 d 10 e 2 f 12 g 6 h 16 i 8 j 11 k 3 l 14 m 17 n 5 o 15 p 9
- 35. Using your planners show me how you found this
- 36. Today I will learn to calculate unknowns with two terms Level 6 Challenge Objective: Calculate unknowns with fractions Level 6+ Key Words Equation, Generate, Term, Common, Unknown, Inverse, Fraction
- 37. •All will find unknowns with 2 positive terms •Most will find unknowns with a negative term •Some will find unknowns with a fraction
- 38. Level 6 + How can we find the unknown: x + 5 = 12 3
- 39. Extension Activity – Level 6+
- 40. Answers – Extension Activity a 7 b 28 c 19 d 42 e 13 f 11 g 27 h 35 i 20
- 41. Using your planners show me how you found this
- 42. Today I will learn to calculate unknowns with two terms Level 6 Challenge Objective: Calculate unknowns with fractions Level 6+ Key Words Equation, Generate, Term, Common, Unknown, Inverse, Fraction
- 43. •All will find unknowns with 2 positive terms •Most will find unknowns with a negative term •Some will find unknowns with a fraction
- 44. Plenary www…ebi what went well … even better if
Editor's Notes
- This is an ideal activity to use mini whiteboards, or alternatively you can do as a quick quiz in the students books. The following slides are timed and will move on automatically.
- These are the answers if you have done the entry activity using the students book as a quiz. Not needed if you are using the whiteboards.
- To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
- Get the students to discuss in pairs how we can turn this into an equation. Using Q&A the class should come up with 3b + 2 = 17. Discuss as a class, why it doesn’t matter what the letter is (I’ve used b to stand for bag, but it could be anything).
- What does finding the value of b mean we are finding (the number of marbles in each bag)? As a class discuss how we can find out what b will be? Make sure you either show the group or explain that there are loads of ways to do this (best two cover up method – so cover up 3b and ask what must 3b= and the elimination method get rid of the +2, so -2 from each side).Once explained then get the class to have a go in pairs at the other questions – a great activity for mini whiteboards, by you must use Q&A to get to how the other questions have been done – to help the students understand.
- To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
- Level 6 questions for the students to complete
- Now get the groups to swap work back. Each group to read out to the class what they have done well and what they need to do to improve.
- Get the students to self/peer assess their work, this will help you check understanding.
- To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
- Get the students to work in pairs to try and find x. They can use either elimination or cover up method on this, get the students to explain how they do this to the class, a great idea for differentiated questioning or for whiteboards with explanations. x + 5 = 36, so x must be 31.
- Level 6 extension activity for the students to complete.
- Get the students to self/peer assess their work, this will help you check understanding.
- To check progress of the class, mark the task completed and then ask the students to rate how they found the activity, Green = confident, Yellow = OK, Red = Unconfident/don’t get it. Ask the students to draw the corresponding face next to their work so when marking you can see how the students found the task.
- This is a really quick plenary. Get students to write in their book www (what went well) something they found that they were good at and are confident with. They then need to write ebi (even better if) so something that they would like to improve in their work. Get students to share what they have written.