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Grade 2 (age 7-8)

grade 2 Pattern Finding

A pattern is when colors, shapes, or numbers repeat in a set order or grow by the same amount each time. Red, blue, red, blue keeps alternating, and 2, 4, 6, 8 goes up by two. Once you spot the rule you can tell what comes next, and the same kind of rule sits inside the times tables. Change the numbers and shapes yourself and watch how the hidden pattern repeats.

What is a pattern?

🔄 Things that repeat or change evenly make a pattern
①Red, blue, red, blue: the same order comes back again
②1, 3, 5, 7 grows by 2 each time
③Knowing the pattern lets you tell what comes next

Number patterns

2
3
🔢 Number patterns
①Start at 2 and add 3 at every step
②So the numbers go 2, 5, 8, 11, …
③The green +3 between the boxes is how much is added each time
④When a row ends, the green line leads to the start of the next row and the rule keeps going

Shape patterns

○ △ ○ △ repeating
🎨 The secret of shape patterns
①The shapes repeat in the same order
②Each faint vertical line marks where one repeating group ends
③Find the group and you can tell which two shapes go in the ? squares on the right

Patterns in the times tables

3
✨ The times tables have patterns too
①The answers to 3 × 1, 3 × 2, 3 × 3, … are marked in order on the number line
②The marks are always 3 apart: 3, 6, 9, 12, …
③Above each mark is the multiplication, and below it is the answer

Wrap-up

Number patterns
previous number + the same amount = next number
Adding the same number again and again makes a number pattern
Shape patterns
find the repeating group → tell the next shape
The shapes repeat in the same order
Times-table patterns
the N times table: N, 2N, 3N, ... (up by N)
You can find patterns in the times tables too
🎯 Remember
①A pattern is something that repeats or changes evenly
②In a number pattern, the numbers grow or shrink by the same amount
③For a shape pattern, find the group that repeats
④The times tables are full of patterns too
⑤Patterns are all around us, like traffic lights, days of the week, and seasons

Examples and unit check

Example 1
What number comes after 3, 7, 11, 15?
1
Look at the difference between neighbors: 7 − 3 = 4 and 11 − 7 = 4. The numbers grow by 4.
2
15 + 4 = 19.
▸ 19
For a number pattern, find the amount it grows or shrinks by each time.
Example 2
Circle, circle, triangle keeps repeating. What is the 8th shape?
1
The repeating group is (circle, circle, triangle), 3 shapes long.
2
Two groups of 3 take you to the 6th shape. The 7th is a circle, and the 8th is a circle too.
▸ Circle
The remainder after dividing by the group size tells you which shape you are on.
Unit check
In the pattern 2, 4, 6, 8, … that grows by 2, what comes after 10?
①11
②12
③14
④20
▸ ② 12
1
The numbers grow by 2.
2
10 + 2 = 12.
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Three-Digit Addition & Subtraction

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