Pattern Strategy Check-In

Overview

In this final lesson of Patterns, Groups, and Sharing, students independently demonstrate how they use grouping, equal sharing, addition and subtraction rules to solve number and spatial patterns. A short teacher conference provides evidence of mathematical thinking, followed by independent mixed review.

Learning intentions

• WALT show and explain how I use grouping and equal sharing.
• WALT continue spatial patterns accurately.
• WALT state and check a rule for a two-variable number pattern.
• WALT explain how I know my answer is correct.

Success criteria

• I can represent my thinking clearly using materials, drawings or equations.
• I can continue a pattern accurately.
• I can state and check a pattern rule.
• I can explain how I know my answer is correct.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that challenge learners and deepen understanding.
• Mathematics and Statistics — Mathsteasers / Alignment: applying pattern, grouping and sharing knowledge in relevant problem-solving contexts.
• Mathematics and Statistics — Mathsteasers / Additional resources for advanced learners: reasoning, explaining and extending mathematical ideas.

Lesson structure (30 minutes)

1. 0–3 min · Reconnect and model. Teacher opens the pattern and strategy check-in slides and displays: “How can we prove that a pattern rule works?” Briefly model a sharing problem, showing that counters, a drawing and an equation can represent the same thinking. Students silently recall one strategy from the previous lessons, then share it with a partner.

2. 3–5 min · Explain the check-in. Teacher explains that each student will complete four short tasks while the teacher conferences with individuals; students may use counters, cubes, Numicon, drawings or equations. Students listen to the success criteria on the check-in instructions and success criteria and begin the independent task.

3. 5–20 min · Individual check-in and independent work. Teacher calls one student at a time for a brief conference, recording evidence against the learning goals rather than judging written answers alone. Students complete the four-part check-in: represent an equal-sharing problem, explain the strategy, continue a spatial pattern, and state the rule for a two-variable number pattern; waiting students work quietly on the mixed grouping, sharing and patterns review sheet.

Use prompts such as: “What does each counter represent?”, “How do you know the shares are equal?”, “What changes each time?”, “Can you check your rule with another term?” Accept oral explanations, drawings and practical demonstrations. Rotate through all eight students, keeping each conference to approximately two minutes.

4. 20–27 min · Independent review. Teacher directs students to complete the remaining questions on the mixed grouping, sharing and patterns review sheet, which includes grouping, equal sharing, spatial-pattern and number-pattern questions. Students choose an efficient representation and show enough working for another person to follow their reasoning.

5. 27–30 min · Share and exit reflection. Teacher displays the final reflection prompt on the checking and reflection slide: “Which strategy helped you most today, and how did you check your answer?” Students explain one answer to a partner, then complete a brief oral or written reflection. Teacher collects the check-in and review sheet for next-step planning.

Resources

• the pattern and strategy check-in slides
• the mixed grouping, sharing and patterns review sheet
• Counters
• Linking cubes
• Numicon
• Pencils and erasers
• Teacher conference recording sheet
• Mini-whiteboards or scrap paper
• Visible timer

Assessment

• During conferences, record whether each student can represent grouping or sharing, explain a strategy, continue a spatial pattern and state a two-variable rule.
• Check representations, equations and explanations for accuracy, clarity and evidence that the student can verify an answer.
• Use the review sheet and final reflection to identify students needing support with equal sharing, spatial growth or describing rules.

Differentiation

• Provide concrete materials, visual prompts, worked examples and reduced number ranges for students who need support.
• Allow oral responses, practical demonstrations, drawings or equations; scribe a student’s explanation where writing is a barrier.
• Pair the worksheet with teacher prompts and read instructions aloud for students with literacy, language or attention needs. Keep the four check-in tasks visually separated and give one direction at a time.
• For advanced learners, invite them to design a two-variable spatial pattern, write its rule, predict a later step and provide a worked explanation for another learner.

Extension

• Students who finish early create a two-variable spatial pattern using cubes or a drawing, label the first four steps and write a rule.
• They predict a later step, then check it by applying the rule and explain why their prediction is reliable.