You will learn
- Find the core of any pattern.
- Continue a pattern of colours, shapes or numbers.
- Fix a mistake in a pattern.
- Predict later items in a pattern.
Version 0.2 · expanded edition · built from cited public sources Content is based on the official frameworks and sources listed under Sources and standards. No official endorsement is claimed. Written in the style of common primary school assessments. No exam result is promised.
Student lesson
- To continue a pattern, find the core first.
- Say the core again and again.
- We can predict later items.
- A mistake breaks the pattern.
Words to know
The part that repeats.
Keep a pattern going.
Something wrong.
Say what will come.
1. Discover: what comes later?
A pattern goes: apple, banana, apple, banana. What will the 8th fruit be? Can you tell without writing all of them?
2. Understand: continuing and predicting
To continue any pattern: (1) find the core, (2) say it again and again, (3) check each item against the core.
To predict a later item in an AB pattern, remember: odd places (1st, 3rd, 5th…) are the first part (A), and even places (2nd, 4th, 6th…) are the second part (B). So the 8th fruit in apple, banana, apple, banana is a banana.
If a pattern has a mistake, the core does not repeat correctly. Find where it breaks and fix it.
Idea 1: Find the core first
Look for the part that repeats. In red, blue, red, blue the core is red, blue.
Idea 2: Predict later items
To predict is to say what will come. In red, blue, red, blue the 7th item is red because odd places are red.
Why? The core has 2 items, so every odd place is the first item.
Idea 3: Fix a mistake
In 2, 4, 6, 7, 10 the 7 is the mistake. The rule is add 2, so it should be 8.
3. Worked examples
Example 1 (I show you): Fruit pattern
Apple, banana, apple, banana. What is the 6th fruit?
- The core is apple, banana.
- Even places are bananas.
Answer: Banana
Example 2 (We do it together): Number pattern
Continue: 5, 10, 15, __.
- Each is 5 more.
Answer: 20
Example 3 (You try): Find the mistake
Where is the mistake: 2, 4, 6, 7, 10?
Show the steps and answer
- The rule is add 2.
- After 6 comes 8, not 7.
Answer: The mistake is 7. It should be 8.
Did you know?
The days of the week are a pattern. After Sunday comes Monday again.
Why this matters
Patterns let us predict. We can plan ahead and also spot mistakes.
4. Explore: predict it
You need coloured counters.
- Make a pattern: red, blue, red, blue.
- Predict the 6th item before you add it.
- Add items to check.
- Find the mistake in: red, blue, red, red, blue.
Think about it: what did you notice?
The 6th item is blue. The mistake is the third red in a row.
5. Practise
Say it in a sentence
Use these starters when you talk about the lesson. Say them out loud.
- The core is ___.
- The ___th item is ___.
- The mistake is ___.
- It should be ___.
Guided practice
Question 1. Apple, banana, apple, banana. 6th fruit?
banana (even place).
Question 2. Red, blue, red, red, blue. Where is the mistake?
The 4th item should be blue.
Question 3. Continue: A, B, B, A, B, B, __
A.
Independent practice
Level 1: Start
- Continue: circle, square, circle, square, __
- 7th item in red, blue, red, blue…?
- Find the mistake: 2, 4, 6, 7, 10
- Continue: 5, 10, 15, __
- Make a pattern and ask a partner to find the 6th item.
Level 2: Grow
- A, B, B, A, B, B, __. Next?
- Continue: 2, 4, 6, __.
- What is the 10th item in red, blue, red, blue…?
Level 3: Stretch
- Sun, sun, moon, sun, sun, moon, __. Next?
- What is the 12th item in A, B, C, A, B, C…?
- Find the mistake: 10, 20, 30, 35, 50.
Answers are in the answer key below. Try first, then check.
6. Apply: everyday mathematics
A fence has posts painted: green, white, green, white. What colour is the 9th post?
Show a sample answer
Green (odd place).
Another one. Ana makes a bead chain: red, blue, red, blue. She needs 10 beads. What colour is the 10th bead?
Show a sample answer
blue
7. Common mistakes
Fix: Say the core aloud and check each item.
Fix: Always find the core first.
Fix: Write the places under the pattern: 1, 2, 3, 4…
8. Lesson summary and revision card
- I can find the core of a pattern.
- I can continue a pattern.
- I can predict later items.
- I can find and fix a mistake in a pattern.
9. Check and master
Answer all 14 questions. You will see feedback after each one.
Your result appears here after you answer every question.
10. Key takeaways
- Find the core first.
- Odd and even places help predict.
- Fix mistakes by checking the core.
11. Next lesson
Next lesson: Creating patterns. Keep going with the next idea in this course.
Exam practice
These questions are written in the style of common school and international primary assessments. Try them on your own, without looking back. Then check your answers in the marking guide. The marks are shown in brackets.
- Red, blue, red, blue, red, __. What is next? [1 mark]
- What is the core of A, A, B, A, A, B? [1 mark]
- What is the 8th item in star, moon, star, moon…? [2 marks]
- Find the mistake in 4, 8, 12, 15, 20 and fix it. [2 marks]
- Ali says the 9th item in circle, square, triangle repeating is square. Is he right? Explain. [3 marks]
Total: 9 marks.
Marking guide and model answers
- Blue [1]
- A, A, B [1]
- Core is star, moon [1]; moon [1]
- 15 [1]; should be 16 [1]
- No [1]. The 9th item ends a core [1]. It is triangle [1].
Score guide: 8 to 9 = secure. 6 to 7 = nearly there, revise the parts you missed. Under 6 = work through the lesson again with a grown-up.
Printable worksheet
- Next: circle, square, circle, square, __
- 7th item in red, blue, red, blue…?
- Fix: 2, 4, 6, 7, 10. What should 7 be?
- Next: 5, 10, 15, __
- Core of A, B, B, A, B, B?
- Continue: 10, 20, 30, __.
- Red, blue, red, blue, red, __.
- Core of sun, moon, sun, moon?
- Find the mistake: 3, 6, 9, 11, 15.
- What is the 6th item in A, B, A, B…?
Homework
Make a pattern with ten items at home. Ask a family member to predict the 10th item before checking.
Answer key and marking scheme
| Question | Expected response | Marks |
|---|---|---|
| Next: circle, square, circle, square, __ | circle | 2 |
| 7th item in red, blue, red, blue…? | red | 2 |
| Fix: 2, 4, 6, 7, 10. What should 7 be? | 8 | 2 |
| Next: 5, 10, 15, __ | 20 | 2 |
| Core of A, B, B, A, B, B? | A, B, B | 2 |
| Total | 10 |
Practice answers: Worksheet: 1 circle; 2 red; 3 8; 4 20; 5 A, B, B.
Quiz answers: 1 A, 2 B, 3 C, 4 A, 5 B, 6 A, 7 B, 8 C, 9 A, 10 B, 11 C, 12 A, Challenge 1 C, Challenge 2 C.
Extra worksheet answers (items 6 onward): 6 40; 7 blue; 8 sun, moon; 9 11 should be 12; 10 B.
Independent practice answers. Level 1: 1 circle; 2 red; 3 7 (it should be 8); 4 20; 5 your own pattern and its 6th item. Level 2: 1 A; 2 8; 3 blue. Level 3: 1 sun; 2 C; 3 35 should be 40.
Mastery and remediation
| Objective | Bronze (Developing) | Silver (Proficient) | Gold (Advanced) |
|---|---|---|---|
| O1 Find the core of any pattern | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O2 Continue a pattern of colours, shapes or numbers | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O3 Fix a mistake in a pattern | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
| O4 Predict later items in a pattern | Shows this with help from an adult or a picture | Does this independently and explains how they know | Explains it clearly and uses it in a new situation |
Courseversity badge thresholds (overall quiz score): Gold = 90–100%; Silver = 80–89.9%; Bronze = 70–79.9%. A badge is never a full record of progress.
If a learner struggles
- Find the misconception: Not checking the whole pattern. Say the core aloud and check each item.
- Explain another way: use real objects first, then pictures.
- Show a simpler example: Use AB patterns only and write the item numbers 1 to 8 above them.
- Guided practice: work through one example together and let the learner try the next one.
- Reassess: use the quiz again or the worksheet.
- Move on when the learner shows Silver-level evidence independently.
For parents and guardians
In this lesson your child continues patterns, predicts later items and fixes mistakes. You do not need to be good at mathematics to help.
- Make a bead or block pattern and ask what comes next.
- Find patterns in fabric or tiles.
- Ask: what is the core? What will be the 10th item?
- Ask “how do you know?” after each answer, and listen.
- Praise effort, not only right answers. Mistakes are how we learn.
- Ten to fifteen minutes a day is better than one long session.
Teacher package
1–5. Objectives, prerequisites, materials, preparation, duration
Lesson objectives. Learners will: find the core of any pattern; continue a pattern of colours, shapes or numbers; fix a mistake in a pattern; predict later items in a pattern.
Prerequisite knowledge. Lessons 1 to 4.
Materials. Counters (stones, seeds or bottle tops), paper, pencils, board or chalkboard. Low-resource options: use stones, seeds, sticks, bottle tops or drawings in the sand or on the board instead of printed materials.
Preparation. Gather the counters and draw the example pictures on the board before the lesson.
Suggested duration. 45–60 minutes. It can be split into two shorter sessions.
6–9. Teaching procedure, explanation notes, guided and independent activities
Introduction (5 min). Start with the Discover situation and let learners suggest ideas before you teach.
Explanation (10 min). Teach the Understand section with real objects first, then pictures, then symbols and words.
Guided activity (10 min). You need coloured counters. Learners follow the Explore steps in pairs.
Independent activity (10 min). Learners complete the independent practice and the worksheet.
Assessment and reflection (5 min). Ask each learner to say one thing they learned and how they know it.
Key questions. What is the core? What will come later? Where is the mistake?
Teacher explanation notes. Use the concrete, pictorial, abstract order: real objects first, then pictures, then symbols and words. Return to real objects whenever a learner needs support.
10–12. Differentiation, formative assessment, common misconceptions
Support. Use real objects and work with a partner; say each step aloud together. Extension. Ask learners to make up their own example and explain it to a partner.
Formative assessment. Listen to learner explanations, ask “how do you know?”, and check the independent work.
Misconceptions. Not checking the whole pattern. Say the core aloud and check each item.
13–15. Assessment questions, answer keys, marking scheme
Use the quiz and worksheet on this page. The 9-mark exam practice scheme, the 10-mark scheme and all answers are in the answer sections above. Re-check every answer and the marking scheme before publication.
16–19. Remediation, enrichment, homework, teacher reflection
Remediation. Use AB patterns only and write the item numbers 1 to 8 above them. Enrichment. Invite learners to find or create three more examples at home or in the classroom and explain them. Homework. See above.
Teacher reflection. After teaching, record: which concepts learners understood; which misconceptions occurred; which activities worked; which learners need more practice; and what to improve next time.
Sources and standards
This lesson is based on the sources below, and no official endorsement is claimed. Reference starting points named in the Courseversity standard: Common Core State Standards for Mathematics, Cambridge Primary and the IB Primary Years Programme. Where a standard code is named, it points to the official framework.
Official standards for this topic area. Common Core State Standards for Mathematics (official site): Grade 1 » Operations & Algebraic Thinking. These pages list the standards that cover this topic area; read them alongside the lesson.
Research used to shape this lesson. Common Core 1.OA and 2.OA; Cambridge Primary Mathematics Stage 1 (patterns). These sources informed the lesson.