Math lesson plan · 2nd grade (Year 3 in England) · 30 minutes
Find the rule of a number pattern
Algebra
CCSS 2.NBT.A.2CCSS 2.OA.C.4England: Y2 Number and place valueEngland: Y3 Number and place value
Objective and success criteria
Students will: Find the rule of a number pattern.
- I can answer questions on today's skill on my own, without help.
- I can explain each step and say why it works.
- I can check my answer and spot a mistake.
Before and after
Needs first: Growing patterns: the same amount added each step; Skip count by 5s, 10s and 100s from any number
Leads to: Missing numbers in patterns that go up or down
Materials: Balance scales or a balance drawing, Algebra tiles, Function machine cards, Mini whiteboards and pens, Printed student sheet (below).
Warm-up · 4 min
- Quick retrieval from earlier learning (Growing patterns: the same amount added each step; Skip count by 5s, 10s and 100s from any number). Students answer on mini whiteboards.
- Show answers together and note who needs support in the main task.
- Count in hundreds: 528, 628, 728, __, 928 → 828Prompt: Only the hundreds digit changes.
- What number comes next? 7, 10, 13, 16, __ → 19Prompt: How much bigger is each number than the one before?
- Count in hundreds: 468, 568, __, 768, 868 → 668Prompt: Only the hundreds digit changes.
Hook · 3 min
- Show a "think of a number" puzzle and ask the class to work out the starting number.
- Share the objective: Find the rule of a number pattern. Read the success criteria together.
I do: model it · 7 min
- Work through the example out loud, saying why you do each step, not just what you do.
- Example: What is the rule? 13, 113, 213, 313
- Step 1: 113 + 100 = 213
- Step 2: +100
- Answer: +100
- Pause after each step and ask a student to say what comes next.
We do: guided practice · 6 min
- Do these together. Students try each step on whiteboards before you reveal it.
- Use the hints as prompts rather than giving the answer.
- What is the rule? 19, 119, 219, 319 (+99 / +100 / −100 / +101) → +100Prompt: Is the pattern going up or down?
- The pattern is 7, 107, 207, 307, … What is the 6th number? → 507Prompt: Find the rule first.
You do: independent practice · 7 min
- Students work on the student sheet. Circulate and check the first two answers of every student early.
- Students who finish: write a question of their own for a partner, with the answer.
The 6 questions are on the student sheet below, with answers in the key.
Exit ticket · 3 min
- Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
- The pattern is 700, 600, 500, 400, … What is the 6th number? → 200Prompt: Find the rule first.
- What is the rule? 25, 21, 17, 13 (−3 / −5 / −4 / +4) → −4Prompt: Is the pattern going up or down?
Watch out for
- Doing an operation to one side of an equation but not the other.
- Reading 3x as 3 + x, or thinking x always stands for one particular number.
Support and stretch
Support
- Review first: Growing patterns: the same amount added each step.
- Use concrete materials: balance scales or a balance drawing.
- Give the first step of each question, or a partly worked example to finish.
- Pair with a confident partner for the guided practice.
Stretch
- Move on to: Missing numbers in patterns that go up or down.
- Explain a common mistake in writing and how to fix it.
- Write a word problem that uses today's skill, then solve a partner's.
Homework and more practice
Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-2.
Free lesson plan from eurekami.com/lesson-plan-builder