The rule tells what changes from one term to the next.
Use the skip count to make new patterns
5, 10, 1510, 20, 302, 4, 6
Growing patterns can use numbers, symbols, shapes or objects. Show the same increase between each stage.
Explain your thinking: Say what each part of the model represents, then explain why the answer or conclusion follows.
Connect a growing picture to its number pattern
Recognise, continue and create sequences formed by adding equal groups.
Worked example
Each new stage adds one pair of blocks. The first three stages contain 2, 4 and 6 blocks. What comes next?
Separate stages of the growing pattern
Stage
Pairs of blocks
Total
1
●●
2
2
●● ●●
4
3
●● ●● ●●
6
4
●● ●● ●● ●●
8
Build each stage separately: one pair, two pairs, then three pairs.
The number of blocks increases by two each time. Add another pair to make the next stage.
The next stage has 8 blocks. Record the sequence as 2, 4, 6, 8 and explain the same change in the pictures and numbers.
Watch for this mistake: A picture of the same pair repeated three times is not three growing stages. Separate the stages and show the total increasing in each one.
Try it, then explain
Each row of a table is a new stage. Complete the totals: 5, 10, __, 20. Describe the change.
Hint
Compare neighbouring totals and keep that change.
Answer and explanation
15. Each stage adds five.
A child writes 10, 20, 30, 35 when counting in tens. Correct the last number and explain.
Hint
Compare the last jump with the earlier jumps.
Answer and explanation
40. The last jump should add ten, not five.
Australian Curriculum elaborations
These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.
E1
using number charts, songs, rhymes and stories to establish skip counting sequences of twos, fives and tens
Try and explain: Continue the count 10, 20, 30, __, __. What is added each time?
Answer and teaching point
40, 50. Add ten each time; saying only the next number does not explain the rule.
E2
using shapes and objects to represent a growing pattern formed by skip counting; for example, using blocks or beads to represent the growing patterns 2, 4, 6, 8, 10 … and 5, 10, 15, 20 …
Try and explain: Build separate stages containing 5, 10 and 15 blocks. How many blocks should stage four contain?
Answer and teaching point
20 blocks. Each new stage contains five more blocks than the previous stage; keep the stages visibly separate.
E3
recognising the patterns in sequences formed by skip counting; for example, that skip counting in fives starting from zero always results in either a 5 or zero as the final digit
Try and explain: In the count 0, 5, 10, 15, 20, which ones digits repeat? Will 23 occur in this count?
Answer and teaching point
The ones digits alternate between 0 and 5. 23 will not occur because its ones digit is 3.
E4
counting by twos, fives, or tens to determine how much money is in a collection of coins or notes of the same denomination; for example, 5 cent, 10 cent and \$2 coins, or \$5 and \$10 notes
Try and explain: Count the value of six 5-cent play coins by fives.
Answer and teaching point
5, 10, 15, 20, 25, 30 cents. The count gives value in cents, not the number of coins.
E5
role-playing being an industrial robot on an assembly line that packs various items into boxes or packets in groups of five or ten, keeping count of the total number of items produced
Try and explain: A packing robot fills boxes with ten crayons each. It fills four boxes. How many crayons has it packed?
Answer and teaching point
40 crayons: 10, 20, 30, 40. Each completed box increases the total by ten.
E6
using different variations of the popular Korean counting game Sam-yuk-gu for generating skip counting pattern sequences
Try and explain: In a classroom counting game, players call the next multiple of five: 5, 10, 15. Give the next two calls and the rule.
Answer and teaching point
20 and 25. Add five after every call.
Common misconceptions and traps
Guessing the next number — Compare neighbouring terms to find the skip.
Changing the rule halfway — Keep the same skip unless the pattern says otherwise.
Counting objects not groups — For skip counting, count equal jumps or equal groups.
Guided learning activities
Rule finder
Identify the skip rule in a number sequence.
Model: 10, 20, 30
Continue it
Continue a pattern by 2s, 5s or 10s.
Model: 5, 10, 15, __
Create it
Create your own skip-counting pattern with shapes or numbers.
Key idea: Skip counting creates number patterns. Patterns by 2s, 5s and 10s have predictable changes.
Remember
Identify skip rules
Continue by 2s
Continue by 5s
Continue by 10s
Create patterns
Quick questions
Continue: 2, 4, 6, 8, __.
What is the rule for 10, 20, 30?
Create a pattern by 5s.
Why must the rule stay the same?
Return to the concept model if an answer is uncertain. Use the model to explain, not just to guess.
Official curriculum reference
AC9M1A01: recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects, formed by skip counting, initially by twos, fives and tens
Use the Practice Sheet for written or hands-on work, Practice for supported feedback, and Test when the student is ready to demonstrate independent mastery.
The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.
Scratch Garden — Practise a number sequence that increases by 2 each time.
As you watch: What stays the same about the jump from one number to the next?
Load video playerLoads YouTube in this lesson. See the video notice below.
Try it: Draw five equal groups of 2 counters. Write the counting sequence underneath and add one more group.
Video unavailable, inaccurate or unsuitable for this year? Report a video problem to SkillrHub by email. You can continue with the written lesson and practice resources.
Another explanation: Counting by Fives
Scratch Garden — Practise a number sequence that increases by 5 each time.
As you watch: What stays the same about the jump from one number to the next?
Load video playerLoads YouTube in this lesson. See the video notice below.
Try it: Draw five equal groups of 5 counters. Write the counting sequence underneath and add one more group.
Video unavailable, inaccurate or unsuitable for this year? Report a video problem to SkillrHub by email. You can continue with the written lesson and practice resources.
Another explanation: Counting by Tens
Scratch Garden — Practise a number sequence that increases by 10 each time.
As you watch: What stays the same about the jump from one number to the next?
Load video playerLoads YouTube in this lesson. See the video notice below.
Try it: Draw five equal groups of 10 counters. Write the counting sequence underneath and add one more group.
Video unavailable, inaccurate or unsuitable for this year? Report a video problem to SkillrHub by email. You can continue with the written lesson and practice resources.
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Curriculum equivalents: Victoria, NSW and international
Curriculum equivalents for Skip-counting pattern sequences
Mapped skill: recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects, formed by skip counting, initially by twos, fives and tens
These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.
Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.
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