MTH1W Unit 4: Linear and Non-Linear Relations

How do tables, graphs and equations show how one quantity changes with another? Students compare growing and shrinking patterns, classify relations with first differences, graphs and equations, and represent linear relations four ways. They interpret rate of change and initial value, write equations from graphs, tables and models, graph special lines, ax + by = k and xy = k, shade regions for inequalities, transform lines, and find and interpret points of intersection, with Python to build tables and find meeting points.

Assessment of learning: Which Is the Better Deal?, planning a school dance by comparing DJs, promotion plans and a snack budget, with a rubric. A unit test with full solutions is also included.

Lessons

1. Growing and Shrinking Patterns
2. Linear or Non-Linear?
3. Four Ways to Show a Relation
4. Rate of Change and Initial Value
5. Equations from Graphs
6. Equations from Tables and Models
7. Special Lines
8. ax + by = k and xy = k
9. Inequalities and Regions
10. Transforming Lines
11. Where Two Lines Meet
12. Coding Relations
13. Relations 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.