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Sheet 2 — Extension

Symmetry and growing patterns

Patterns & repeats

Ages 5-735 minutes8 tasksColours & Shapes

Name:  

Date:  

What we are learning

Complete symmetrical patterns and continue growing sequences.

You will need: Pencil, Ruler, Small mirror (optional), Squared paper

Warm-up

Hold a mirror against a drawing. What do you notice about the two halves?

Word bank

symmetrymirror linegrowingtermruledoubleadd

1Finish the other half

Draw the missing half so the picture is symmetrical.

Complete the mirror image

butterfly
flower
letter A

2Symmetrical or not?

Tick whether each shape or letter has a line of symmetry.

square

letter R

circle

letter H

3Growing patterns

Continue each pattern for two more steps and write the rule.

  1. 1. 1, 3, 5, 7, … rule:
  2. 2. 2, 4, 8, 16, … rule:
  3. 3. 1, 3, 6, 10, … rule:
  4. 4. 100, 90, 80, … rule:

4Pattern in shapes

Step 1 uses 3 sticks, step 2 uses 5, step 3 uses 7. How many for step 5? Show your thinking.

sticks
step 1
step 2
step 3
step 4
step 5

How I worked it out

5Design a tile

Draw one tile that has a line of symmetry, then show it repeated four times.

Tile and repeat

My tile
Repeated four times

6Practise again

Write the next two terms in each sequence.

  1. 1. 5, 10, 15, 20, …
  2. 2. 1, 2, 4, 8, …
  3. 3. 20, 17, 14, 11, …
  4. 4. 1, 4, 9, 16, …
  • I found the rule before I carried on.
  • I checked my rule works for every step.

7Explain a rule

Choose one sequence from Task 6 and explain its rule in a full sentence.

8Take it home

Find something at home with a line of symmetry. Draw it and mark the mirror line with a ruler.

My symmetrical object

My drawing

⭐ Challenge

Find something in the room with two lines of symmetry. Draw it and mark both lines.

How did I do?

  • I can complete a symmetrical picture.
  • I can continue a growing pattern.
  • I can explain a pattern rule in words.
  • I can tell if a shape has a line of symmetry.