Download Recognise, copy, continue, create and describe repeating patterns

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. ______________________