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Introduction to Algebra
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Introduction to Algebra
Look for what repeats or changes in each pattern. Show your thinking where you can.
Spot the pattern
1.A pattern goes: circle, star, circle, star, circle, ____. Which shape belongs next?
- Circle
- Star
- Triangle
2.Describe the rule for this repeating pattern: circle, star, circle, star, circle, star.
3.The colours go: yellow, purple, yellow, purple, yellow, ____. What colour comes next?
- Green
- Purple
- Yellow
Number patterns
4.Complete the pattern: 3, 6, 9, 12, ____, ____, ____.
5.What is the rule for this number pattern: 3, 6, 9, 12, 15?
- Add 2 each time
- Add 3 each time
- Take away 3 each time
6.Fill in the next three numbers: 4, 8, 12, 16, ____, ____, ____.
7.Explain the rule in the pattern 4, 8, 12, 16, 20.
Make and match patterns
8.Draw a repeating pattern using at least two of these shapes: circles, triangles and squares. Make the rule easy to spot.
9.Create a number pattern that starts at 5 and follows a rule. Write six numbers altogether.
10.For the pattern 5, 7, 9, 11, 13, 15, write the rule.
11.Match each pattern to its rule.
- 2, 5, 8, 11
- 12, 24, 36, 48
- M, N, M, N, M
- Add 3 each time
- Repeat two letters
- Add 12 each time
12.Which choices show a pattern? Select every correct answer.
- The months in calendar order
- 6, 2, 11, 4, 9
- Hop, clap, hop, clap, hop
- 50, 45, 40, 35, 30
Algebra ideas
13.Complete the sentences: Algebra helps us find rules in . A letter such as n can stand for a number we do not know.
14.Why can it be useful to find a rule in a number pattern?
15.Write a number pattern that starts with 6 and increases by the same amount each time. Give at least five numbers.
4 printable pages
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Page 2
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