MPM2D Unit 1: Lines and Linear Systems

Students bridge from MTH1W by developing the slope formula and interpreting slope as a rate of change, then write equations of lines from graphs, tables, a point and a slope, or two points. They translate between y = mx + b, Ax + By + C = 0 and Ax + By = D, and use equal and negative reciprocal slopes to write parallel and perpendicular lines and test for right angles. They solve linear systems by graphing, substitution and elimination, predict the number of solutions, choose efficient methods, and solve problems about tickets, coins, investments, mixtures, travel, currents, wind and rental plans. An optional coding lesson reads and alters a Python program that solves any system.

Assessment of learning: Event Planner, planning a school festival with ticket mixes, bus quotes and a budget, every intersection found two ways, with a rubric. A unit test with full solutions is also included.

Lessons

1. Slope Revisited
2. Equations of Lines
3. Forms of a Line
4. Parallel and Perpendicular Lines
5. Solving Systems by Graphing
6. Substitution
7. Elimination
8. Choosing a Method
9. Systems at Work: Money and Mixtures
10. Systems at Work: Rates and Distance
11. Coding Systems 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 Ontario Grade 10 Principles of Mathematics curriculum (MPM2D, 2005, with the 2022 Addendum), and easy to adapt for any Grade 10 academic math class.