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# Rectangle ratios

This inquiry lesson is designed to extend learning and explore students' understanding of rectangle ratios as they interpret, explore and test cases, reason and relate to context. Students can work collaboratively to share their thinking, strategies to draw comparisons and simplification of ratios, equivalent ratios and apply algebraic manipulation. Worked examples are provided for the teacher to reference as they explicitly teach ratios with opportunities to move from the abstract to concrete materials.

Year level(s) Year 7
Audience Student, Teacher
Purpose Assessment task, Content knowledge, Evidence-based approaches, Student task, Teaching resource, Teaching strategies
Teaching strategies and pedagogical approaches Collaborative learning, Concrete Representational Abstract model, Explicit teaching, Feedback, Growth mindset, Mathematics investigation, Metacognitive strategies, Questioning, Structuring lessons
Keywords algebraic manipulation, ratio, width, height, length, equivalent ratios, multiplier, common part, rectangles, explicit teaching

## Curriculum alignment

Curriculum connections English, Numeracy, Critical and creative thinking
Strand and focus Algebra, Number, Measurement, Apply understanding, Build understanding
Topics Area, volume and surface area, Fractions, Multiples, factors and powers, Multiplication and division, Patterns and algebra, Addition and subtraction, Shapes and objects
AC: Mathematics (V9.0) content descriptions
AC9M7M01
Solve problems involving the area of triangles and parallelograms using established formulas and appropriate units

AC9M7M06
Use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation

Numeracy progression Understanding geometric properties (P6)
Understanding units of measurement (P8, P9)
Proportional thinking (P3)