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.

Download Adobe Reader to view files.

## 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.

## Khan Academy Practice Exercise Links

### Organized by MPM1D Grade 9 Academic Math Topics

Access Khan Academy Practice Exercise Links organized by MPM1D Grade 9 Academic Math Topics to allow you to deepen your understanding of the overall and specific expectations in this course.

Students can also add their teacher as a Khan Academy Coach. Learn how to add your teacher here.

## MPM1D Grade 9 Academic Topics of Study: Course Notes & Note Solutions

#### MPM1D Unit 1 (Unit 2 in Textbook) – Relations

Sec. 1.1 (2.3 in Text) – Use Scatter Plots to Analyse DataBlank 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 ExtrapolationBlank Note Handout Note Solutions Corresponding Textbook Pages: 68 to 76 |

Sec. 1.3 (2.5 in Text) – Linear and Non-Linear RelationsBlank 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 ReviewBlank 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 MaterialsSMART Notebook File Blank Note Handout Note Solutions Corresponding Textbook Pages 104 to 109 |

Sec. 2.2 (3.2 in Text) – Work With ExponentsBlank 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 TermsBlank Note Handout Note Solutions Corresponding Textbook Pages 144 to 153 |

Sec. 2.6 (3.6 in Text) – Add and Subtract PolynomialsBlank Note Handout Note Solutions Corresponding Textbook Pages 154 to 159 |

Sec. 2.7 (3.7 in Text) – The Distributive PropertyBlank Note Handout Note Solutions SMART Notebook File Corresponding Textbook Pages 160 to 173 |

Sec. 2.8 – Adding/Subtracting Polynomials & Distribution AssignmentBlank Note Handout |

Sec. 2.9 (3.8 in Text) – Unit 2 Review & Practice TestBlank Note Handout Note Solutions Corresponding Textbook Pages 174 to 177 |

Unit 2 RecapBlank Note Handout Note Solutions |

### MPM1D Unit 3 (Unit 4 in Textbook) – Equations

Sec. 3.1 (4.1 in Text) – Solve Simple EquationsBlank Note Handout Note Solutions Corresponding Textbook Pages 186 to 195 |

Sec. 3.2 (4.2 in Text) – Solve Multi-Step EquationsDay 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 FractionsDay 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 FormulasDay 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 AlgebraBlank Note Handout Note Solutions Corresponding Textbook Pages 220 to 229 |

Sec. 3.6 (4.6 in Text) – Chapter 3 Review – EquationsBlank 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 1Blank 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 2Blank 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) – SlopeBlank 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 ChangeBlank 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 DifferencesBlank Note Handout Note Solutions Corresponding Textbook Pages 272 to 278 |

Sec. 4.6 (5.6 in Text) – Connecting Variation, Slope, and First DifferencesBlank Note Handout Note Solutions Corresponding Textbook Pages 279 to 287 |

Sec. 4.7 (5.7 in Text) – Unit 4 Review – Modelling With GraphsBlank 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 + bBlank 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 = 0Blank Note Handout Note Solutions Corresponding Textbook Pages 308 to 314 |

Sec. 5.3 (6.3 in Text) – Graph a Line Using InterceptsBlank Note Handout Note Solutions Corresponding Textbook Pages 315 to 325 |

Sec. 5.4 (6.4 in Text) – Parallel and Perpendicular LinesBlank 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 PointBlank 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 PointsBlank Note Handout Note Solutions Corresponding Textbook Pages 338 to 343 |

Sec. 5.7 (6.7 in Text) – Linear SystemsBlank Note Handout Note Solutions Corresponding Textbook Pages 344 to 351 |

Sec. 5.8 (6.8 in Text) – Unit 6 Review – Analyse Linear RelationsBlank 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 TrianglesBlank Note Handout Note Solutions Corresponding Textbook Pages 364 to 373 |

Sec. 6.2 (7.2 in Text) – Angle Relationships in QuadrilateralsBlank Note Handout Note Solutions Corresponding Textbook Pages 374 to 383 |

Sec. 6.3 (7.3 in Text) – Angle Relationships in PolygonsBlank Note Handout Note Solutions Corresponding Textbook Pages 384 to 393 |

Sec. 6.4 (7.4 in Text) – Midpoints and Medians in TrianglesBlank Note Handout Note Solutions Corresponding Textbook Pages 394 to 400 |

Sec. 6.5 (7.5 in Text) – Midpoints and Diagonals in QuadrilateralsBlank Note Handout Note Solutions Corresponding Textbook Pages 401 to 407 |

Sec. 6.6 (7.6 in Text) – Unit 6 Review – Geometric RelationshipsBlank 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 TheoremBlank 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 PyramidsBlank Note Handout Note Solutions Corresponding Textbook Pages 436 to 443 |

Sec. 7.4 (8.4 in Text) – Surface Area of a ConeBlank Note Handout Note Solutions Corresponding Textbook Pages 444 to 450 |

Sec. 7.5 (8.5 in Text) – Volume of a ConeBlank Note Handout Note Solutions Corresponding Textbook Pages 451 to 456 |

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

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

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

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

Sec. 8.1 (9.1 in Text) – Investigate Measurement ConceptsBlank Note Handout Note Solutions Corresponding Textbook Pages 478 to 483 |

Sec. 8.2 (9.2 in Text) – Perimeter and Area Relationships of a RectangleBlank 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 PrismBlank Note Handout Note Solutions Corresponding Textbook Pages 491 to 497 |

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

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

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

Sec. 8.7 (9.7 in Text) – Unit 8 Review – Optimizing MeasurementsCorresponding 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