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Rectangle ratios inquiry 1

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.

Additional details
Year level(s)	Year 7
Audience	Student, Teacher
Purpose	Assessment task, Content knowledge, Evidence-based approaches, Student task, Teaching resource, Teaching strategies
Format	Downloadable resources
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)
Copyright details
Organisation	Inquiry Maths
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