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Early Stage 1 (MAe-8NA) Sort and classify objects into groups. Recognise, copy, continue, create and describe repeating patterns of objects and drawings. Using an assorted collection of pattern blocks 1. Ask students to sort pattern blocks into groups or categories (of their choice) 2. Ask students to sort the same group of objects into different category (e.g. shape, colour) 3. Teacher models a simple 2-object pattern (e.g. triangle, square, triangle). Students asked to continue pattern and demonstrate with concrete material. 4. Teacher models a more complex pattern (3-4 shapes). Students asked to continue pattern and demonstrate with concrete material. 5. Students asked to create and repeat a pattern of their choice. Using mini whiteboards Teacher draws a simple 2-object pattern (e.g. heart, square). Students asked to draw and continue the pattern on their whiteboard. 7. Teacher draws a more complex pattern (3-4 pictures or shapes). Students asked to draw and continue the pattern on their whiteboard. 8. Students asked to create and repeat a pattern of their choice. 9. Teacher writes the number pattern 1,2, 3, 4, 5. Students asked to continue the forward sequence of numbers on their whiteboard. 10. Teacher writes the number pattern 16, 15, 14, 13, 12. Students asked to continue the backward sequence of numbers on their whiteboard. 6. Assessment results can be recorded as a checklist of conceptual knowledge, using digital camera etc. Stage 1 (MA1 – 8NA) Find the missing number Recognise, copy, continue, create and describe increasing and decreasing number patterns Find missing numbers in number sentences involving one operation of addition or subtraction Describe patterns with numbers and identify missing elements 11. 3, 7, 11, __, 19, 23, 27 12. How many does it go up by each time? _________________________________________________ 13. 20 , 18 , 16 , __ , 12 14. How many does it go down by each time? _________________________________________________ 15. If the rule is ‘goes up by 2’ what is the next number: 3, 5 , 7 , __ 16. If the rule is ‘goes down by 3’ what is the next number: 12 , 9 , 6 , __ Complete these number sentences Find missing numbers in number sentences involving one operation of addition or subtraction Describe patterns with numbers and identify missing elements 17. 5 + = 13 18. 15 - = 9 Billy had ten toys and he lost three. He now has seven toys. 19. Write this question as a number sentence: = 20. Write a question to match the number sentence 12 + 8 =20 _____________________________________________________________________________ _____________________________________________________________________________ _________________________________________________________________________________ Stage 2 (MA2-8NA) On the Number Chart below: Recognise, continue and describe number patterns resulting from performing multiplication 21. Shade all the multiples of 3 22. Circle all the multiples of 9 23. What did you notice about the 9’s pattern? ______________________________________________ Continue these patterns: Identify, continue, create, describe and record increasing and decreasing number patterns 24. 4 , 8 , 12 , 16 , __ , __ , __ , 32 25. 48, __ , __ , __, 24 , 18 , 12 ,6 Circle the 3rd term 26. 7 , 14 , 21 , 28 , 35 ,42 , 49 , 56 Circle the 1st and 6th term 27. 8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 Complete these number sentences Find missing numbers in number sentences involving addition or subtraction on one or both sides of the equals sign 28. + 55 = 83 29. - 15 = 19 30. 8 + =6+7 Answer the following with odd or even. Identify odd and even numbers of up to four-digits Investigate and use the properties of odd and even numbers 31. 371 is ______ 32. 2474 is ______ 33. An even number plus an even number is ______ 34. An odd number minus an even number is ______ 35. An odd number multiplied by an odd number is ______ 36. An even number multiplied by an even number is ______ Complete these number sentences Recognise, continue and describe number patterns resulting from performing multiplication 37. 28 = x7 ÷ =5 38. 40 39. I buy 6 pens and it costs $24. How much was each pen? = 40. Write a question to match this number sentence: 4 x = 28 _____________________________________________________________________________ _____________________________________________________________________________ ________________________________________________________________________________ Stage 3 (MA3-8NA) Continue these patterns Identify, continue create and describe increasing and decreasing number patterns with fractions, decimals and whole numbers 41. 42. 43. 44. 0.5 , 1 , 1.5 , 2 , __ , __ , __ the pattern is: _____________________________________ ¼ , ½ , ¾ ,1 , 1 ¼ , __ , __ , __ the pattern is: ___________________________________ 1.25 , 1.5 , 1.75 , 2 , __ , __ , __ the pattern is: __________________________________ One Half, one quarter, one eighth, one sixteenth , ____________ , ______________. Complete the following table for this geometric pattern Determine the rule for geometric and number patterns in words and use the rule to calculate values Continue, create, record and describe geometric and number patterns in words 45. Number of squares Number of matches 1 4 2 8 3 12 4 5 6 46. What is the pattern between the number of squares and the number of matches? _____________________________________________________________________________ 47. If you had 100 squares, how many matches would you have?_____________________________ 48. Position in pattern Value of term 1 4 2 5 3 6 4 7 5 6 10 49. Describe the rule for this pattern: ___________________________________________________ 50. How would you find the value of the 55th term: ________________________________________ 51. Why would it be useful to know the relationship between the position in the pattern and the value of the term? ___________________________________________________________________ Billy is building a fence. He uses 8 nails for every fence paling. If Billy uses 200 fence palings, how many nails will he use? 52. Complete the table to show your answer: Number of fence palings Value of term (number of nails) 1 8 2 16 3 10 100 200 53. Rule: ______________________________________________________ Find the missing number and write a question to match the table 54. Position in pattern Value of term 1 5 2 10 3 15 10 55. _____________________________________________________________________________ _____________________________________________________________________________ Cartesian Coordinates Locate and record the coordinates of points in all four quadrants of the Cartesian plane 56. Draw and label the x and y axis on the grid making 4 quadrants. 57. Plot these coordinates on the Cartesian Plane. a) (2,3) b) (-2 , 3) c) (-1,-2) d) (3,-2) 58. What are the coordinates where the line intersects? ___________________________________ 59. Do you write the x axis coordinate first or the y axis? __________________________________ 60. What sort of angle does the horizontal and vertical axis meet at? ________________________ Stage 4 (MA4 – 11NA) Complete the following tables Recognise and use simple equivalent algebraic expressions 61. x number of pentagons y number of sides 1 2 3 10 100 200 Rule: y= 5x 62. x y 1 2 3 10 100 200 Rule: y = 3x + 1 Determine the rule for the following tables Recognise, describe and record geometric and number patterns in words and algebraic symbols 63. x y 1 6 2 10 3 14 10 42 1 -1 2 -4 3 -9 10 -100 100 402 200 802 Rule:______________________________ 64. x y 12 -144 Rule: _________________________________ Use the Cartesian Coordinates System to plot the following table Locate and describe points on the Cartesian plane using coordinates Plot linear relationships created from simple patterns and equations Solve simple linear equations using graphical techniques 65. x y 66. -1 -2 0 1 2 Rule: 2x + 1 = y 67. Can you write a rule where the plotted line will be curved? _____________________________________________________________________________ 68. Complete the table for your rule x y 69. Plot the curved line on the Cartesian Plane 70. Write an equation that will plot coordinates in 3 of the four quadrants. ______________________