# Preservation of Equality

**Strand:** Patterns and Relations (Variables and Equations)

**Outcome:** 3

## Step 5: Follow-up on Assessment

### Guiding Questions

- What conclusions can be made from assessment information?
- How effective have instructional approaches been?
- What are the next steps in instruction?

### A. Addressing Gaps in Learning

- Build on students' understanding of preservation of equality from previous grades.
- Encourage students to use balance scales to represent various equalities, draw corresponding diagrams and record the process symbolically.
- Have students explain their thinking and provide scaffolding to overcome any misconceptions or misunderstandings.
- Use examples of equality with everyday contexts so that students can relate to the situation and understand it better.
- Use friendly numbers in modelling preservation of equality, initially, so that students can easily draw diagrams to represent the situation.
- Include examples with positive and negative integers, using alge-tiles and a balance scale, and reviewing the concept of zero to illustrate equality on both sides of the scale.
- Solve a variety of everyday problems by applying the preservation of equality.
- Reinforce the role of variables and constants in the preservation of equality.
- Integrate the strands in mathematics by applying the preservation of equality to number operations, measurement and statistics and probability.
- Encourage students to create problems that can be solved by applying the preservation of equality.

### B. Reinforcing and Extending Learning

Students who have achieved or exceeded the outcomes will benefit from ongoing opportunities to apply and extend their learning. These activities should support students in developing a deeper understanding of the concept and should not progress to the outcomes in subsequent grades.

Strategies for Reinforcing and Extending Learning