Calculator and Algebra Review

Overview

In this lesson, students consolidate core algebra skills from prior lessons by revisiting operations with integers and simplifying algebraic expressions. They then apply calculator strategies to complete multi-step calculations accurately and check reasonableness.

Learning intentions

• Students will use algebra rules to simplify expressions and combine like terms.
• Students will accurately perform operations with integers and understand sign rules in algebra contexts.
• Students will choose an appropriate calculator method for multi-step calculations.
• Students will check answers using estimation and inverse operations.

Success criteria

• I can simplify basic algebra expressions (including expanding single brackets and combining like terms).
• I can correctly compute integer expressions and explain where negatives come from.
• I can enter multi-step calculations on a calculator without common errors (brackets, order of operations).
• I can verify my calculator results by using estimation or checking with reverse operations.

Curriculum links

• Calculations — use a calculator for multi-step calculations.
• Calculations — solve practical and number-based problems involving multi-step computation.
• Algebraic reasoning — apply rules for integers and simplify expressions as part of effective calculation.

Lesson structure (60 minutes)

1. 0–5 min · Warm-up (Quick checks). Teacher writes three integer expressions on the board; students answer independently, then compare with a partner if available. Students compute and note any sign mistakes they made.

2. 5–15 min · Direct teach (Algebra refresh). Teacher models simplification steps using clear working: collecting like terms, removing brackets, and maintaining sign accuracy. Students follow the model, then complete two “guided” items where the teacher prompts: “What happens to the sign when you remove brackets?”

3. 15–25 min · Guided practice (Simplify expressions). Teacher circulates while students work through a short set of expressions of increasing complexity (e.g., single brackets, like terms, and one variable term). Students show method, then circle their final simplified form.

4. 25–35 min · Integer operations in algebra contexts. Teacher gives a worked example that links integers to algebra (e.g., substituting values into an expression, ensuring negative substitution is handled correctly). Students compute each expression value for two given integer inputs and record results neatly.

5. 35–47 min · Calculator strategy mini-lesson. Teacher demonstrates calculator use for multi-step calculations: using brackets, applying order of operations, and avoiding “type-over” errors. Students replicate the calculator entry steps on their device, then write the final answer and one verification statement.

6. 47–55 min · Calculator application (Multi-step task). Teacher provides a set of two multi-step tasks: one number-focused and one expression-based (simplify first, then calculate; or calculate first with clear steps). Students complete both tasks and include a reasonableness check (rounding or inverse operation).

7. 55–60 min · Exit ticket (Accuracy and checking). Teacher collects a short exit ticket: one simplification item, one integer calculation, and one calculator multi-step result requiring a check. Students submit answers with at least one brief verification method.

Resources

• Calculator for each student
• Board/whiteboard or projector for worked examples
• Student worksheet containing: simplification set, substitution set, calculator tasks, exit ticket
• Pencil, eraser, and lined paper for working
• Optional: calculators with bracket function clearly visible (or a classroom model)

Assessment

• Teacher observation during guided practice: correct sign handling and clear algebra steps.
• Checklist during calculator work: brackets used correctly, order of operations followed, and final answer recorded.
• Exit ticket: simplified expression accuracy, integer computation accuracy, and evidence of verification (estimation or inverse check).

Differentiation

• Support: provide a step frame for simplification (1) remove brackets carefully, (2) collect like terms, (3) write final simplified form; include sentence starters for checks (e.g., “This makes sense because…”).
• Support: offer one example pre-worked on the worksheet before the student attempts similar questions.
• Extension (for students who finish early): include an additional expression that requires careful combining of multiple like terms and a second calculator check using an alternative method (e.g., compute then verify using the opposite operation).
• SEN/EAL: allow reading assistance for wordy explanations, and encourage highlighting negative signs during substitution; accept verbal explanation of reasoning if written steps are incomplete.