Year-7-Autumn-3-Equality-and-Equivalence-Exemplar-questions-and-answers.pptx

H

1. Which of the following are true?   Which of the following are true?  

2. Which of the following are true?   They are all true.

3. Here is a number wall. How many equations can you find from this number wall? Examples:  

4. Here is a number wall. How many equations can you find from this number wall? Examples:       e.g.

5. Work out the missing numbers in these equations.  

6. Work out the missing numbers in these equations.  

7. This bar model shows: What other facts does it show?   7 10 3

8. This bar model shows: What other facts does it show?   7 10 3   A ll the statements can also be written in reverse order e.g.  

9. Write the fact families for these bar models.   20 14 9    

10. Write the fact families for these bar models.   20 14 9        

11. Write the fact family for this bar model. 24 6 6 6 6

12. Write the fact family for this bar model. 24 6 6 6 6  

13. Using the fact above, write down an addition and another subtraction.  

14. Using the fact above, write down an addition and another subtraction.    

15. Draw a bar model to illustrate Write down the fact family for your bar model. What is the value of ?  

16. Draw a bar model to illustrate Write down the fact family for your bar model. What is the value of ?            

17. What additions does the diagram show? What subtractions does it show? What is the value of ?        

18. What additions does the diagram show? What subtractions does it show? What is the value of ?              

19. Solve these equations.  

20. Solve these equations.      

21. Ken thinks of a number. He subtracts 78 from his number and gets the answer 137 Show this information as an equation and solve the equation to find Ken’s number. How else could you represent the information?

22. Ken thinks of a number. He subtracts 78 from his number and gets the answer 137 Show this information as an equation and solve the equation to find Ken’s number. How else could you represent the information?         e.g.

23. Write the fact family for this bar model. Work out the value of .    

24. Write the fact family for this bar model. Work out the value of .        

25. Write the fact family for this bar model. Work out the value of .  

26. Write the fact family for this bar model. Work out the value of .      

27. Marta thinks of a number. She divides her number by 7 and gets the answer 42 Write this information as an equation. Solve your equation to find Marta’s number.

28. Marta thinks of a number. She divides her number by 7 and gets the answer 42 Write this information as an equation. Solve your equation to find Marta’s number.    

29. Solve these equations.  

30. Solve these equations.    

31. Explain why the terms in the left are called ‘like terms’ and the terms on the right are called ‘unlike terms’. ,   Like terms Unlike terms ,  

32. Explain why the terms in the left are called ‘like terms’ and the terms on the right are called ‘unlike terms’. ,   Like terms Unlike terms ,   The terms on the left have the same letter(s) and the letters in the terms have the same power.

33. Sort the expressions below into sets of like terms.  

34. Sort the expressions below into sets of like terms.    

35. Jemima says and are like terms because the expressions involve the same powers of the same letters just in a different order. Do you agree?  

36. Jemima says and are like terms because the expressions involve the same powers of the same letters just in a different order. Do you agree?   Y es, both terms are multiples of both and  

37. Substitute into each of these expressions. When : Which expressions give you the same answers? Why? Repeat with a different value of What do you notice?  

38.   The values of the expressions changes but the groups of equivalent expressions stay the same. Because the expressions can be simplified to equivalent expressions.   Substitute into each of these expressions. When : Which expressions give you the same answers? Why? Repeat with a different value of What do you notice?  

39. Which of the following expressions are equivalent? Check by substituting several values of .  

40. Which of the following expressions are equivalent? Check by substituting several values of .   All expressions highlighted are equivalent to  

41. Work out the expressions below for several values of What do you notice. Will this always be the case?  

42. Work out the expressions below for several values of What do you notice. Will this always be the case?   B oth expressions are equal in value. This will always be the case because  

43. Which of the following are true and which are false?  

44. Which of the following are true and which are false?   True True True True True False False False

45. Simplify these expressions so they have only one term.  

46. Simplify these expressions so they have only one term.              

47. Correct the mistakes in the simplifications below.  

48. Correct the mistakes in the simplifications below.  

49. Simplify the expressions below by collecting like terms.  

50. Simplify the expressions below by collecting like terms.  

51. Find expressions that simplify to  

52. Find expressions that simplify to   Examples include: