MTH1W Unit 5: Geometry and Measurement

How do geometry and measurement help us design and build? Students tell the story of a measurement system and connect it to careers, convert units within and between systems (including area and volume units), use circle and triangle properties in designs, apply the Pythagorean relationship to ladders, ramps, screens and composite shapes, investigate how changing dimensions affects perimeter, area, surface area and volume, and discover the one-third relationships between prisms and pyramids and between cylinders and cones. Python code tests every case to find the best dimensions.

Assessment of learning: Design a Space, an accessible outdoor learning space with a ramp, a raised bed and planters, plus a measurement story, with a rubric. A unit test with full solutions is also included.

Lessons

1. Measurement Stories
2. Converting Metric Units
3. Between Measurement Systems
4. Circle Properties in Design
5. Triangle Properties in Design
6. The Pythagorean Relationship
7. Pythagoras in Composite Shapes
8. Changing Dimensions: Perimeter and Area
9. Changing Dimensions: Surface Area and Volume
10. Prisms and Pyramids
11. Cylinders and Cones
12. Coding Measurement and Review

Plus a unit test class.

What you get

• A teacher lesson plan for every lesson: curriculum expectations, learning goals and success criteria, a timed sequence, differentiation, look-fors and worked answer keys
• Detailed slideshows (15 to 18 slides per lesson) with speaker notes on every slide: what to say, what to ask, what to look for and how long to spend, plus warm-ups, worked examples, guided practice, quick checks and answer-key slides
• Student handouts (usually two pages) and exit tickets, with every problem worked out in the answer key
• Editable Word and PowerPoint files, plus PDFs
• A unit overview, the summative task with a four-level Growing Success rubric, a unit test, and teacher solutions for both

Built for the 2021 Ontario Grade 9 Mathematics curriculum (MTH1W, de-streamed), and easy to adapt for any Grade 9 math class.