Grade 4, Patterns and equations
Pattern tables
Use a rule to fill in an In and Out table, then find the rule from a full table.
Three levels
One skill, rising difficulty
Each sheet carries one level. The three are the same skill at rising difficulty, each named for what it practises.
- Level 1: Use the rule
- Use the rule to fill in the Out column.
- Level 2: Fill both columns
- Use the rule to fill in the empty boxes. For an empty In box, work backward.
- Level 3: Find the rule
- Find the rule for each table. Write the missing number.
Worked example
How the sheet explains it
The helper printed at the top of each sheet: one solved example and the steps a student follows, before the first question. Every number sentence in it is proven by the same checker as the answer key.
Level 1: Use the rule
- Start with the first row: 2 × 4 = 8. Write 8 in the Out box.
- Do the same to each In number: 3 × 4 = 12 and 4 × 4 = 16.
Level 2: Fill both columns
- An empty Out box: use the rule. 4 + 6 = 10.
- An empty In box: undo the rule with the opposite. 15 − 6 = 9.
- Check that row: 9 + 6 = 15.
Level 3: Find the rule
- Out is In times a number. Find it from one row: 18 ÷ 3 = 6.
- Check the other rows: 4 × 6 = 24 and 5 × 6 = 30.
Goes with
Reference sheets
One-page helpers a student keeps beside this sheet:
- Patterns and rules
Every reference, facts and support sheet is listed in the worksheet catalogue.
In the BC curriculum
Content standards
The British Columbia content standards this skill is written for, by the codes used across this site:
- bc.math.4.c.9
- bc.math.5.c.10
The wording of each standard is on the Province's mathematics curriculum page.
Print it free
Print the sheet and its answer key
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Back to all worksheets by grade, or read the Grade 4 guide to what this grade learns in British Columbia.