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    1. Courses
    2. [TEA-T2] MPM2D Principles of Mathematics Grade 10 by Mr. T. Pietrangelo (2024-25 T2)

    • Welcome To MPM2D - Principals of Mathematics

      Welcome to MPM2D!

      We will be using Moodle for all assignments, tests, quizzes etc.

      MPM2D online enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry, and investigate the trigonometry of right and acute triangles. In MPM2D online, students will reason mathematically and communicate their thinking as they solve multi-step problems.

      • Announcements Forum

        Grade 9 Text book: Course: MPM1D 

        grade 9
        https://static1.squarespace.com/static/5f00087e7c2a630b8c2a17db/t/5f0e9126362e23738bd4c2a3/1594790322997/MHR+GRADE+9.pdf


        Grade 10 Text book: Course: MPM2D 
        Textbook        : http://mrkennedy.pbworks.com/w/file/fetch/139473681/2D%20NELSON%20TEXTBOOK.pdf    

        Glossary: pg 611-618 in the pdf

        Graphing Calculator: Desmos | Graphing Calculator

      • TEACHER: Mr. T. Pietrangelo
        TEACHER EMAIL: tony.p@teacademy.ca

        CLASS SCHEDULE:  1:00 pm - 4:15 pm (EST) Break Time: 2:30 pm - 2:45 pm (EST) 

        Zoom link: https://edu4u.zoom.us/j/9785849722      (only for Thurs. Feb.8, 2024)

        ASYNCHRONOUS WORK: Must be completed before the start of next class. All due date is set to be at the beginning of class.

        EXTRA HELP: Every Monday from 4:15 pm - 5:15 pm

        TECHNICAL SUPPORT: Fan Wu (fanw@edu4u.ca)

      • Class Notes Wiki
    • COURSE ORIENTATION
      COURSE ORIENTATION
    • COURSE AGREEMENT
      COURSE AGREEMENT

      COURSE AGREEMENT

      Students must read and agree to the following procedures and policies before starting the course.

    • Day 1 - Introduction
      Day 1 - Introduction

      Day 1 - Introduction

      Add a Pre-Learning Assessment (Quiz/Assignment) (FOR) in this section.

    • Midterm Course Evaluation
      Midterm Course Evaluation

      Midterm Course Evaluation

      This is to give students an opportunity to post and assess their midterm evaluations.

    • Unit 1 - Systems of Linear Equations

      GOALS: In this unit, You will be able to Solve a system of linear equations using a variety of strategies Solve problems that are modelled by linear equations or systems of linear equations Describe the relationship between the number of solutions to a system of linear equations and the coefficients of the equations
      Unit 1 - Systems of Linear Equations
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    • Lesson 1.1 - Representing Linear Relations
      Lesson 1.1 - Representing Linear Relations

      Lesson 1.1 - Representing Linear Relations

      Learning Goals: By the end of this lesson you will be able toUse tables, graphs, and equations to represent linear relations.

    • Lesson 1.2 - Solving Linear Equations
      Lesson 1.2 - Solving Linear Equations

      Lesson 1.2 - Solving Linear Equations

      Learning Goals: By the end of this lesson you will be able toConnect the solution to a linear equation and the graph of the corresponding relation

    • Lesson 1.3 - Graphically Solving Linear Systems
      Lesson 1.3 - Graphically Solving Linear Systems

      Lesson 1.3 - Graphically Solving Linear Systems

      Learning Goals: By the end of this lesson you will be able toUse graphs to solve a pair of linear equations simultaneously.

    • Lesson 1.4 - Solving Linear Systems: Substitution
      Lesson 1.4 - Solving Linear Systems: Substitution

      Lesson 1.4 - Solving Linear Systems: Substitution

      Learning Goals: By the end of this lesson you will be able toSolve a system of linear equations using an algebraic strategy.

    • Lesson 1.5 - Equivalent Linear Systems
      Lesson 1.5 - Equivalent Linear Systems

      Lesson 1.5 - Equivalent Linear Systems

      Learning Goals: By the end of this lesson you will be able toCompare solutions for equivalent systems of linear equations.

    • Lesson 1.6 - Solving Linear Systems: Elimination
      Lesson 1.6 - Solving Linear Systems: Elimination

      Lesson 1.6 - Solving Linear Systems: Elimination

      Learning Goals: By the end of this lesson you will be able toSolve a linear system of equations using equivalent equations to remove a variable.

    • Unit 2 - Analytic Geometry

      GOALS: In this unit you will be able to Use coordinates to determine and solve problems involving midpoints, slopes, and lengths of line segments Determine the equation of a circle with centre (0, 0) Use properties of line segments to identify geometric figures and verify their properties
      Unit 2 - Analytic Geometry
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    • Lesson 2.1 - Midpoint of a Line Segment
      Lesson 2.1 - Midpoint of a Line Segment

      Lesson 2.1 - Midpoint of a Line Segment

      Learning Goals: By the end of this lesson you will be able toDevelop and use the formula for the midpoint of a line segment.

    • Lesson 2.2 - Length of a Line Segment
      Lesson 2.2 - Length of a Line Segment

      Lesson 2.2 - Length of a Line Segment

      Learning Goals: By the end of this lesson you will be able toDetermine the length of a line segment.

    • Lesson 2.3 - Equation of a Circle
      Lesson 2.3 - Equation of a Circle

      Lesson 2.3 - Equation of a Circle

      Learning Goals: By the end of this lesson you will be able toDevelop and use an equation for a circle.

    • Lesson 2.4 - Classifying Figures on a Coordinate Grid
      Lesson 2.4 - Classifying Figures on a Coordinate Grid

      Lesson 2.4 - Classifying Figures on a Coordinate Grid

      Learning Goals: By the end of this lesson you will be able toUse properties of line segments to classify two-dimensional figures.

    • Lesson 2.5 - Properties of Geometric Figures
      Lesson 2.5 - Properties of Geometric Figures

      Lesson 2.5 - Properties of Geometric Figures

      Learning Goals: By the end of this lesson you will be able toUse analytic geometry to verify properties of geometric figures.

    • Lesson 2.6 - Using Coordinates to Solve Problems
      Lesson 2.6 - Using Coordinates to Solve Problems

      Lesson 2.6 - Using Coordinates to Solve Problems

      Learning Goals: By the end of this lesson you will be able toUse properties of lines and line segments to solve problems.

    • Unit 3 - Graphs of Quadratic Relations

      GOALS: In this unit you will be able to Describe the graphs and properties of quadratic relations of the forms y=ax2+ bx+ c and y= a(x - r)(x - s) Expand and simplify quadratic expressions Apply quadratic models to solve problems
      Unit 3 - Graphs of Quadratic Relations
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    • Lesson 3.1 - Properties of Graphs of Quadratic Relations
      Lesson 3.1 - Properties of Graphs of Quadratic Relations

      Lesson 3.1 - Properties of Graphs of Quadratic Relations

      Learning Goals: By the end of this lesson you will be able toDescribe the key features of the graphs of quadratic relations, and use the graphs to solve problems.

    • Lesson 3.2 - Factored Form of a Quadratic Relation
      Lesson 3.2 - Factored Form of a Quadratic Relation
    • Lesson 3.3 - Expanding Quadratic Expressions
      Lesson 3.3 - Expanding Quadratic Expressions

      Lesson 3.3 - Expanding Quadratic Expressions

      Learning Goals: By the end of this lesson you will be able toDetermine the product of two binomials using a variety of strategies.

    • Lesson 3.4 - Quadratic Models Using Factored Form
      Lesson 3.4 - Quadratic Models Using Factored Form

      Lesson 3.4 - Quadratic Models Using Factored Form

      Learning Goals: By the end of this lesson you will be able toDetermine the equation of a quadratic model using the factored form of a quadratic relation.

    • Unit 4 - Factoring Algebraic Expressions

      GOALS: In this unit you will be able to Determine the greatest common factor in an algebraic expression and use it to write the expression as a product Recognize different types of quadratic expressions and use appropriate strategies to factor them
      Unit 4 - Factoring Algebraic Expressions
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    • Lesson 4.1 - Common Factors in Polynomials
      Lesson 4.1 - Common Factors in Polynomials

      Lesson 4.1 - Common Factors in Polynomials

      Learning Goals: By the end of this lesson you will be able toLimit to 5 maximum.Success Criteria: By the end of this lesson you will be able toLimit to 5 maximum.Each lesson must include at least the following (these go between glossary and Discussion forum)- (10-15 minutes Lecture Segment follow by 20-30 minutes activity) x 3- Lesson Assignment/Homework (FOR and/or AS)and the following

    • Lesson 4.2- Factoring Quadratics
      Lesson 4.2- Factoring Quadratics

      Lesson 4.2- Factoring Quadratics

      Learning Goals: By the end of this lesson you will be able toFactor quadratic expressions of the form ax 2+ bx+ c, where a= 1.

    • Lesson 4.3 - Factoring Quadratics: ax2 + bx + c
      Lesson 4.3 - Factoring Quadratics: ax2 + bx + c

      Lesson 4.3 - Factoring Quadratics: ax2 + bx + c

      Learning Goals: By the end of this lesson you will be able toFactoring Quadratics: ax2 + bx + c

    • Lesson 4.4 - Factoring Quadratics: Special Cases
      Lesson 4.4 - Factoring Quadratics: Special Cases

      Lesson 4.4 - Factoring Quadratics: Special Cases

      Learning Goals: By the end of this lesson you will be able toLimit to 5 maximum.Success Criteria: By the end of this lesson you will be able toLimit to 5 maximum.Each lesson must include at least the following (these go between glossary and Discussion forum)- (10-15 minutes Lecture Segment follow by 20-30 minutes activity) x 3- Lesson Assignment/Homework (FOR and/or AS)and the following

    • Lesson 4.5 - Reasoning about Factoring Polynomials
      Lesson 4.5 - Reasoning about Factoring Polynomials

      Lesson 4.5 - Reasoning about Factoring Polynomials

      Learning Goals: By the end of this lesson you will be able toUse reasoning to factor a variety of polynomials

    • Unit 5 - Applying Quadratic Models

      GOALS: In this unit you will be able to Investigate the y= a(x- h) 2+ k form of a quadratic relation Apply transformations to sketch graphs of quadratic relations Apply quadratic models to solve problems Investigate connections among the different forms of a quadratic relation
      Unit 5 - Applying Quadratic Models
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    • Lesson 5.1 - Stretching/Reflecting Quadratic Relations.
      Lesson 5.1 - Stretching/Reflecting Quadratic Relations.

      Lesson 5.1 - Stretching/Reflecting Quadratic Relations.

      Learning Goals: By the end of this lesson you will be able toExamine the effect of the parameter a in the equation y =ax2 on the graph of the equation.

    • Lesson 5.2 - Graphing Quadratics in Vertex Form
      Lesson 5.2 - Graphing Quadratics in Vertex Form

      Lesson 5.2 - Graphing Quadratics in Vertex Form

      Learning Goals: By the end of this lesson you will be able toGraph a quadratic relation in the form by using transformations.

    • Lesson 5.3 - Quadratic Models Using Vertex Form
      Lesson 5.3 - Quadratic Models Using Vertex Form

      Lesson 5.3 - Quadratic Models Using Vertex Form

      Learning Goals: By the end of this lesson you will be able toLimit to 5 maximum.Success Criteria: By the end of this lesson you will be able toLimit to 5 maximum.Each lesson must include at least the following (these go between glossary and Discussion forum)- (10-15 minutes Lecture Segment follow by 20-30 minutes activity) x 3- Lesson Assignment/Homework (FOR and/or AS)and the following

    • Lesson 5.4 - Solving Problems Using Quadratic Relations
      Lesson 5.4 - Solving Problems Using Quadratic Relations

      Lesson 5.4 - Solving Problems Using Quadratic Relations

      Learning Goals: By the end of this lesson you will be able toLimit to 5 maximum.Success Criteria: By the end of this lesson you will be able toLimit to 5 maximum.Each lesson must include at least the following (these go between glossary and Discussion forum)- (10-15 minutes Lecture Segment follow by 20-30 minutes activity) x 3- Lesson Assignment/Homework (FOR and/or AS)and the following

    • Unit 6 - Quadratic Equations

      GOALS: In this Unit you will be able to Solve quadratic equations graphically, by factoring, and by using the quadratic formula Write a quadratic relation in vertex form by completing the square Solve and model problems involving quadratic relations in standard, factored, and vertex forms
      Unit 6 - Quadratic Equations
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    • Lesson 6.1 - Solving Quadratic Equations
      Lesson 6.1 - Solving Quadratic Equations

      Lesson 6.1 - Solving Quadratic Equations

      Learning Goals: By the end of this lesson you will be able toUse graphical and algebraic strategies to solve quadratic equations.

    • Lesson 6.2 - Completing the Square
      Lesson 6.2 - Completing the Square

      Lesson 6.2 - Completing the Square

      Learning Goals: By the end of this lesson you will be able toWrite the equation of a parabola in vertex form by completing the square.

    • Lesson 6.3 - The Quadratic Formula
      Lesson 6.3 - The Quadratic Formula

      Lesson 6.3 - The Quadratic Formula

      Learning Goals: By the end of this lesson you will be able toUnderstand the development of the quadratic formula, and use the quadratic formula to solve quadratic equations.

    • Lesson 6.4 - Interpreting Quadratic Equation Roots
      Lesson 6.4 - Interpreting Quadratic Equation Roots

      Lesson 6.4 - Interpreting Quadratic Equation Roots

      Learning Goals: By the end of this lesson you will be able toDetermine the number of roots of a quadratic equation, and relate these roots to the corresponding relation.

    • Lesson 6.5 - Solving Problems Using Quadratic Models
      Lesson 6.5 - Solving Problems Using Quadratic Models

      Lesson 6.5 - Solving Problems Using Quadratic Models

      Learning Goals: By the end of this lesson you will be able toLimit to 5 maximum.Success Criteria: By the end of this lesson you will be able toLimit to 5 maximum.Each lesson must include at least the following (these go between glossary and Discussion forum)- (10-15 minutes Lecture Segment follow by 20-30 minutes activity) x 3- Lesson Assignment/Homework (FOR and/or AS)and the following

    • Unit 7 - Triangles and Trigonometry

      GOALS: In this unit you will be able to Determine and compare properties of congruent and similar triangles Solve problems using similar triangles Determine side lengths and angle measures in right triangles using the primary trigonometric ratios Solve problems using right triangle models and trigonometryreal-world.Develop and use the sine law to determine side lengths and angle measures in acute triangles Develop and use the cosine law to determine side lengths and angle measures in acute triangles Solve problems that can be modelled using acute triangles
      Unit 7 - Triangles and Trigonometry
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    • Lesson 7.1 - Congruence and Similarity in Triangles
      Lesson 7.1 - Congruence and Similarity in Triangles

      Lesson 7.1 - Congruence and Similarity in Triangles

      Learning Goals: By the end of this lesson you will be able toInvestigate the relationships between corresponding sides and angles in pairs of congruent and similar triangles.Solve problems using similar triangle models.

    • Lesson 7.2 - The Primary Trigonometric Ratios
      Lesson 7.2 - The Primary Trigonometric Ratios
    • Lesson 7.3 - Right Triangles
      Lesson 7.3 - Right Triangles
    • Lesson 7.4 - Sine Law
      Lesson 7.4 - Sine Law
    • Lesson 7.5 - Cosine Law
      Lesson 7.5 - Cosine Law

      Lesson 7.5 - Cosine Law

      Learning Goals: By the end of this lesson you will be able to(1)Explore the relationship between side lengths and angle measures in a triangle using the cosines of angles.(2)Use the cosine law to calculate unknown measures of sides and angles in acute triangles.

    • Review & Final Evaluation

      Review & Final Evaluation
      Show more
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