Many of these resources were created and/or modified by Dave Bracken with further additions and modifications by Kyle Pearce.

The MPM1D Grade 9 Academic mathematics course enables students to develop an understanding of mathematical concepts related to algebra, analytic geometry, and measurement and geometry through investigation, the effective use of technology, and abstract reasoning. Students will investigate relationships, which they will then generalize as equations of lines, and will determine the connections between different representations of a linear relation. They will also explore relationships that emerge from the measurement of three-dimensional figures and two-dimensional shapes. Students will reason mathematically and communicate their thinking as they solve multi-step problems.
Click to view MPM1D Strands and Overall Expectations.

MPM1D – Grade 9 Academic – Difficulty With Homework Form
This link will allow you indicate which question you would like to look at from the homework.Be sure to take a minute to think about which question gave you the most trouble.

MPM1D Digital Textbook

McGraw-Hill Ryerson: Principles of Mathematics, 9

While we don’t use the textbook for much more than a question bank, you can access the McGraw-Hill Ryerson Textbook: Principles of Mathematics, 9 Electronic Textbook in PDF Form. Note that the textbook is password protected for only my students due to copyright law.

MPM1D-Grade-9-Academic-Digital-Textbook-McGraw-Hill-Ryerson-300x300

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ACCESS TEXTBOOK

3 Act Math Tasks

MPM1D Grade 9 Academic Real World Math Problems

Access 3 Act Math Tasks related to the MPM1D Grade 9 Academic Math Course.

3 ACT MATH TASKS

MPM1D Unit 1 (Unit 2 in Textbook) – Relations

Sec. 1.1 (2.3 in Text) – Use Scatter Plots to Analyse Data

Chapter 5 Title Page & Get Ready Section (Pages 234 to 237)

Blank Note Handout 1, Handout 2
Note Solutions 1, Solutions 2

Corresponding Textbook Pages: 56 to 67

Sec. 1.2 (2.4 in Text) – Trends, Interpolation, and Extrapolation

Blank Note Handout
Note Solutions

Corresponding Textbook Pages: 68 to 76

Sec. 1.3 (2.5 in Text) – Linear and Non-Linear Relations

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 77 to 87

Sec. 1.4 (2.6 in Text) – Distance-Time Graphs (Part 1)

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 88 to 94

Sec. 1.5 (2.6 in Text) – Distance-Time Graphs (Part 2)

Blank Note Handout Part 1, Handout Part 2
Handout 1 Solutions, Handout 2 Solutions

Corresponding Textbook Pages 88 to 94

Sec. 1.6 (2.7 in Text) – Unit 2 Review

Blank Note Handout v1
Blank Note Handout v2
Note Solutions v1
Note Solutions v2

Corresponding Textbook Pages 95 to 99

MPM1D Unit 2 (Unit 3 in Textbook) – Polynomials

Sec. 2.1 (3.1 in Text) – Build Algebraic Models Using Concrete Materials

SMART Notebook File
Blank Note Handout
Note Solutions

Corresponding Textbook Pages 104 to 109

Sec. 2.2 (3.2 in Text) – Work With Exponents

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 110 to 118

Sec. 2.3 (3.3 in Text) – Discover the Exponent Laws (Part 1)

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 119 to 129

Sec. 2.3 (3.3 in Text) – Discover the Exponent Laws (Part 2)

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 119 to 129

Sec. 2.4 (3.4 in Text) – Communicate With Algebra (Part 1)

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 134 to 135

Sec. 2.5 (3.5 in Text) – Collect Like Terms

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 144 to 153

Sec. 2.6 (3.6 in Text) – Add and Subtract Polynomials

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 154 to 159

Sec. 2.7 (3.7 in Text) – The Distributive Property

Blank Note Handout
Note Solutions
SMART Notebook File

Corresponding Textbook Pages 160 to 173

Sec. 2.8 – Adding/Subtracting Polynomials & Distribution Assignment

Blank Note Handout

Sec. 2.9 (3.8 in Text) – Unit 2 Review & Practice Test

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 174 to 177

Unit 2 Recap

Blank Note Handout
Note Solutions

MPM1D Unit 3 (Unit 4 in Textbook) – Equations

Sec. 3.1 (4.1 in Text) – Solve Simple Equationss

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 186 to 195

Sec. 3.2 (4.2 in Text) – Solve Multi-Step Equations

Day 1 Blank Note Handout
Day 1 Note Solutions
Day 2 Blank Note Handout
Day 2 Note Solutions

Corresponding Textbook Pages 196 to 203

Sec. 3.3 (4.3 in Text) – Solve Equations Involving Fractions

Day 1 Blank Note Handout
Day 1 Note Solutions
Day 2 Blank Note Handout
Day 2 Note Solutions

Corresponding Textbook Pages 204 to 210

Sec. 3.4 (4.4 in Text) – Modelling With Formulas

Day 1 Blank Note Handout
Day 1 Note Solutions
Day 2 Blank Note Handout
Day 2 Note Solutions

Corresponding Textbook Pages 211 to 219

Sec. 3.5 (4.5 in Text) – Modelling With Algebra

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 220 to 229

Sec. 3.6 (4.6 in Text) – Chapter 3 Review – Equations

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 230 to 233

MPM1D Unit 4 (Unit 5 in Textbook) – Modelling With Graphs

Sec. 4.1 (5.1 in Text) – Direct and Partial Variation Day 1s

Blank Note Handout – OLD
Note Solutions – OLD
NEW Blank Note Handout – Direct AND Partial Variation
New Note Solutions

Corresponding Textbook Pages 238 to 245

Sec. 4.2 (5.2 in Text) – Direct and Partial Variation Day 2

Blank Note Handout – OLD
Note Solutions – OLD
NEW Blank Note Handout – Direct AND Partial Variation
New Note Solutions

Corresponding Textbook Pages 246 to 253

Sec. 4.3 (5.3 in Text) – Slope

Blank Note Handout Part 1
Note Solutions Part 1
Blank Note Handout Part 2
Note Solutions Part 2

Corresponding Textbook Pages 254 to 263

Sec. 4.4 (5.4 in Text) – Slope as a Rate of Change

Blank Note Handout Part 1
Note Solutions Part 1
Blank Note Handout Part 2
Note Solutions Part 2

Corresponding Textbook Pages 264 to 271

Sec. 4.5 (5.5 in Text) – First Differences

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 272 to 278

Sec. 4.6 (5.6 in Text) – Connecting Variation, Slope, and First Differences

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 279 to 287

Sec. 4.7 (5.7 in Text) – Unit 4 Review – Modelling With Graphs

Blank Note Handout Part 1
Note Solutions Part 1
Blank Note Handout Part 2

Corresponding Textbook Pages 279 to 287

MPM1D Unit 5 (Unit 6 in Textbook) – Analyse Linear Relations

Sec. 5.1 (6.1 in Text) – The Equation of a Line in Slope y-Intercept Form: y = mx + bs

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 296 to 307

Sec. 5.2 (6.2 in Text) – The Equation of a Line in Standard Form: Ax + By + C = 0

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 308 to 314

Sec. 5.3 (6.3 in Text) – Graph a Line Using Intercepts

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 315 to 325

Sec. 5.4 (6.4 in Text) – Parallel and Perpendicular Lines

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 326 to 329

Sec. 5.5 (6.5 in Text) – Find an Equation for a Line Given the Slope and a Point

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 330 to 337

Sec. 5.6 (6.6 in Text) – Find an Equation for a Line Given Two Points

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 338 to 343

Sec. 5.7 (6.7 in Text) – Linear Systems

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 344 to 351

Sec. 5.8 (6.8 in Text) – Unit 6 Review – Analyse Linear Relations

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 352 to 355

MPM1D Unit 6 (Unit 7 in Textbook) – Geometric Relationships

Sec. 6.1 (7.1 in Text) – Angle Relationships in Triangless

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 364 to 373

Sec. 6.2 (7.2 in Text) – Angle Relationships in Quadrilaterals

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 374 to 383

Sec. 6.3 (7.3 in Text) – Angle Relationships in Polygons

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 384 to 393

Sec. 6.4 (7.4 in Text) – Midpoints and Medians in Triangles

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 394 to 400

Sec. 6.5 (7.5 in Text) – Midpoints and Diagonals in Quadrilaterals

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 401 to 407

Sec. 6.6 (7.6 in Text) – Unit 6 Review – Geometric Relationships

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 408 to 411

MPM1D Unit 7 (Unit 8 in Textbook) – Measurement Relationships

Sec. 7.1 (8.1 in Text) – Apply the Pythagorean Theorems

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 418 to 425

Sec. 7.2 (8.2 in Text) – Perimeter and Area of Composite Figures

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 426 to 435

Sec. 7.3 (8.3 in Text) – Surface Area and Volume of Prisms and Pyramids

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 436 to 443

Sec. 7.4 (8.4 in Text) – Surface Area of a Cone

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 444 to 450

Sec. 7.5 (8.5 in Text) – Volume of a Cone

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 451 to 456

Sec. 7.6 (8.6 in Text) – Surface Area of a Sphere
Corresponding Textbook Pages 457 to 461

Sec. 7.7 (8.7 in Text) – Volume of a Sphere
Corresponding Textbook Pages 457 to 461

Sec. 7.8 (8.8 in Text) – Unit 7 Review – Measurement Relationships
Corresponding Textbook Pages 470 to 473

MPM1D Unit 8 (Unit 9 in Textbook) – Optimizing Measurements

Sec. 8.1 (9.1 in Text) – Investigate Measurement Conceptss

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 478 to 483

Sec. 8.2 (9.2 in Text) – Perimeter and Area Relationships of a Rectangle

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 484 to 490

Sec. 8.3 (9.3 in Text) – Minimize the Surface Area of a Square-Based Prism

Blank Note Handout
Note Solutions

Corresponding Textbook Pages 491 to 497

Sec. 8.4 (9.4 in Text) – Maximize the Volume of a Square-Based Prism
Corresponding Textbook Pages 498 to 503

Sec. 8.5 (9.5 in Text) – Maximize the Volume of a Cylinder
Corresponding Textbook Pages 504 to 509

Sec. 8.6 (9.6 in Text) – Minimize the Surface Area of a Cylinder
Corresponding Textbook Pages 510 to 515

Sec. 8.7 (9.7 in Text) – Unit 8 Review – Optimizing Measurements
Corresponding Textbook Pages 516 to 519

Strands and Overall Expectations – MPM1D Principles of Mathematics, Grade 9 Academic

Number Sense and Algebra

NA1 – Operating with Exponents

NA2 – Manipulating Expressions and Solving Equations

Linear Relations

LR1 – Using Data Management to Investigate Relationships

LR2 – Understanding Characteristics of Linear Relations

LR3 – Connecting Various Representations of Linear Relations

Analytic Geometry

AG1 – Investigating the Relationship Between the Equation of a Relation and the Shape of Its Graph

AG2 – Investigating the Properties of Slope

AG3 – Using the Properties of Linear Relations to Solve Problems

Measurement and Geometry

MG1 – Investigating the Optimal Values of Measurements

MG2 – Solving Problems Involving Perimeter, Area, Surface Area, and Volume

MG3 – Investigating and Applying Geometric Relationships

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EACH LESSON CONSISTS OF:

In multi-day units of study, Math Talks are crafted to help build on the thinking from the previous day and build towards the next step in the developmental progression of the concept(s) we are exploring.

Each Math Talk is constructed as a string of related problems that build with intentionality to emerge specific big ideas, strategies, and mathematical models.

Each Teacher Guide consists of:

Intentionality of the lesson;
A step-by-step walk through of each phase of the lesson;
Visuals, animations, and videos unpacking big ideas, strategies, and models we intend to emerge during the lesson;
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These prompts are given each lesson with the following conditions:

No calculators are to be used; and,
Students are to focus on how they can convince their math community that their solution is valid.

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Facilitators are encouraged to collect these consolidation prompts as a means to engage in the assessment process and inform next moves for instruction.

At the end of each lesson, consolidation prompts and/or extensions are crafted for students to purposefully practice and demonstrate their current understanding.

Facilitators are encouraged to collect these consolidation prompts as a means to engage in the assessment process and inform next moves for instruction.

Each Math Talk is constructed as a string of related problems that build with intentionality to emerge specific big ideas, strategies, and mathematical models.

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LEARN ABOUT THE 3-PART FRAMEWORK

SPARK

Curiosity

FUEL

Sense Making

IGNITE

Your Teacher Moves

MAKE MATH MOMENTS WITH THE 3-PART FRAMEWORK

3-Part-Framework-Guidebook-Pages-Screenshot.001

The Make Math Moments core lesson design should be your go-to math lesson planning framework to spark curiosity, fuel student sense making, and ignite your teacher moves.

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