Remarkable / Worksheets / Grade 7 Maths / Numeric and geometric patterns
A one-page CAPS Grade 7 Maths poster on numeric and geometric patterns (Patterns and algebra), with the key ideas, key words and a tip to remember.
The numbers in a pattern are called terms. A rule tells you how to get from one term to the next.
5, 9, 13, 17, ... (add 4)
5, 10, 20, 40, ... (multiply by 2)
50, 44, 38, 32, ...
The rule is subtract 6.
Next terms: 26 and 20
Count the objects in each figure. Then look for the pattern in the numbers.
Figures: 3, 5, 7 squares
Add 2 each time, so Figure 4 has 9.
A rule can use the term number n. The rule gives any term without listing all the terms before it.
Rule: term = 5 × n + 1
n = 4: 5 × 4 + 1 = 21
n = 10: 5 × 10 + 1 = 51
1, 2, 4, 7, 11, ...
Add 1, then 2, then 3, then 4