Course Title: Foundations for College Mathematics, Grade 12, College Preparation
Course Code: MAP4C
Grade: 12
Course Type: College Preparation
Credit Value: 1
Prerequisite: Foundations for College Mathematics, Grade 11, College Preparation, or Functions and Applications, Grade 11, University/College Preparation
Department: Mathematics

Course Description

This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems connected with annuities, budgets, and renting or owning accommodation; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.

Course Outline
  • MAP4C Unit 1 Overview
  • Accessibility to MAP4C Unit 1 Assignment
  • U1L1 Exponent Law for Multiplying and Dividing (A1.1)
  • U1L2 Exponent Law for Simplifying Power of a Power (A1.1)
  • U1L3 Simplifying Algebraic Expressions Using Law of Exponents (A1.2)
  • U1L4 Value of a Power With Rational Exponent (A1.3)
  • U1L5 Evaluating Rational Exponents and Bases (A1.4)
  • U1L6 Solving Exponential Equations Numerically (A1.5)
  • U1L7 Solving Exponential Equations Graphically (A1.5)
  • U1L8 Exponential Equations from the Real World (A1.6)
  • U1L9 Solving Exponential Equations in One Variable (A1.7)
  • U1L10 Interpreting Graphs (A2.1)
  • U1L11 Describing Trends and Justifying Decisions of Graphs (A2.2)
  • U1L12 Recognizing Rate of Change Information (A2.3)
  • U1L13 Identifying Units for Measuring Rate of Change (A2.3)
  • U1L14 Describing Rate of Change (A2.4)
  • U1L15 Initial Conditions and Behavior of Rate of Change (A2.5)
  • U1L16 Linear Models (Part 1) (A2.6)
  • U1L17 Linear Models (Part 2) (A2.6)
  • U1L18 Solving Equations Using Rational Exponents (A3.3)
  • U1L19 Value of a Variable of Degree Three or Less (A3.3)
  • U1L20 Connections with Linear, Quadratic, and Exponential (Part 1) (A3.4)
  • U1L21 Connections with Linear, Quadratic, and Exponential (Part 2) (A3.4)
  • U1L22 Multistep Real World Problems (A3.4)
  • U1L23 Applications of Mathematical Modeling in Occupations (A3.5)
  • U1L24 College Programs that Explore Mathematical Modeling (A3.5)
  • Finish and Hand in MAP4C Unit 1 Assignment at the end of lesson
  • MAP4C Unit 2 Overview
  • Accessibility to MAP4C Unit 2 Assignment
  • U2L1 Annuities (Part 1) (B1.1)
  • U2L2 Annuities (Part 2) (B1.1)
  • U2L3 Changing Conditions of a Simple Annuity (Part 1)(B1.2)
  • U2L4 Changing Conditions of a Simple Annuity (Part 2)(B1.2)
  • U2L5 Solving Simple Annuity Problems Using Technology (Part 1)(B1.3)
  • U2L6 Solving Simple Annuity Problems Using Technology (Part 2)(B1.3)
  • U2L7 Investing in Annuities Using Technology (Part 1)(B1.4)
  • U2L8 Investing in Annuities Using Technology (Part 2)(B1.4)
  • U2L9 Features with Mortgages (Part 1) (B1.5)
  • U2L10 Features with Mortgages (Part 2) (B1.5)
  • U2L11 Amortization Tables (B1.6)
  • U2L12 Generating Amortization Tables (B1.7)
  • U2L13 Paying off a Mortgage (Part 1) (B1.8)
  • U2L14 Paying off a Mortgage (Part 2) (B1.8)
  • U2L15 Procedures and Cost in Owning and Renting Accommodation (B2.1)
  • U2L16 Comparing Renting Accommodation and Owning Accommodation (B2.2)
  • U2L17 Technology in Owning or Renting Accommodation For Fixed Costs (B2.3)
  • U2L18 Living Costs (B3.1)
  • U2L19 Designing a Savings Plan (B3.2)
  • U2L20 Monthly Budgets (B3.3)
  • U2L21 Determining Affordability of Accommodation (Part 1) (B3.4)
  • U2L22 Determining Affordability of Accommodation (Part 2) (B3.4)
  • U2L23 Adjusting a Budget (B3.5)
  • U2L24 Applying Personal Finance in Applications (B3.6)
  • Finish and Hand in MAP4C Unit 2 Assignment at the end of lesson
  • MAP4C Unit 2 Online Test
  • MAP4C Unit 2 Overview
  • Accessibility to MAP4C Unit 2 Assignment
  • U3L1 Conversions of Imperial and Metric System (Part 1)(C1.1)
  • U3L2 Conversions of Imperial and Metric System (Part 2)(C1.1)
  • U3L3 Real-World Applications of Areas of Shapes (Part 1) (C1.2)
  • U3L4 Real-World Applications of Areas of Shapes (Part 2) (C1.2)
  • U3L5 Real-World Applications of Surface Area and Volume (Part 1) (C1.3)
  • U3L6 Real-World Applications of Surface Area and Volume (Part 2) (C1.3)
  • U3L7 Real-World Applications of Surface Area and Volume (Part 3) (C1.3)
  • U3L8 Investigating Optimal Dimensions (Part 1) (C2.1)
  • U3L9 Investigating Optimal Dimensions (Part 2) (C2.1)
  • U3L10 Investigating Optimal Dimensions (Part 3) (C2.2)
  • U3L11 Investigating Optimal Dimensions (Part 4) (C2.2)
  • U3L12 Investigating Optimal Dimensions (Part 5) (C2.3)
  • U3L13 Investigating Optimal Dimensions (Part 6) (C2.3)
  • U3L14 Solving 2D Problems Using Trigonometry (Part 1) (C3.1)
  • U3L15 Solving 2D Problems Using Trigonometry (Part 2) (C3.1)
  • U3L16 Solving 2D Problems Using Trigonometry (Part 3) (C3.1)
  • U3L17 Connections of Trigonometric Ratios (Part 1)(C3.2)
  • U3L18 Connections of Trigonometric Ratios (Part 2) (C3.2)
  • U3L19 Trigonometric Values of Obtuse Angles (Part 1) (C3.3)
  • U3L20 Trigonometric Values of Obtuse Angles (Part 2) (C3.3)
  • U3L21 Oblique Triangle Problems (Part 1) (C3.4)
  • U3L22 Oblique Triangle Problems (Part 2) (C3.4)
  • U3L23 Applications of Trigonometry in Occupations (Part 1)(C3.5)
  • U3L24 Applications of Trigonometry in Occupations (Part 2)(C3.5)
  • Finish and Hand in MAP4C Unit 3 Assignment at the end of lesson
  • MAP4C Unit 4 Overview
  • Accessibility to MAP4C Unit 4 Assignment
  • U4L1 One-Variable Data Analysis (D1.1)
  • U4L2 Two-Variable Data-Analysis(D1.1)
  • U4L3 Characteristics of an Effective Survey (Part 1) (D1.2)
  • U4L4 Characteristics of an Effective Survey (Part 2) (D1.2)
  • U4L5 Collecting Two-Variable Data (D1.3)
  • U4L6 Making Scatter Plots (Part 1) (D1.4)
  • U4L7 Making Scatter Plots (Part 2) (D1.4)
  • U4L8 Algebraic Summary of Relationship Between Two Variables (Part 1) (D1.5)
  • U4L9 Algebraic Summary of Relationship Between Two Variables (Part 2) (D1.5)
  • U4L10 Possible Interpretations of Line of Best Fit (Part 1) (D1.6)
  • U4L11 Possible Interpretations of Line of Best Fit (Part 2) (D1.6)
  • U4L12 Assessing Appropriate Use of Linear Model (Part 1) (D1.7)
  • U4L13 Assessing Appropriate Use of Linear Model (Part 2) (D1.7)
  • U4L14 Conclusions of Two-Variable Data Analysis (D1.8)
  • U4L15 Common Statistical Terms (Part 1) (D2.1)
  • U4L16 Common Statistical Terms (Part 2) (D2.1)
  • U4L17 Indices Used By Media (Part 1)(D2.2)
  • U4L18 Indices Used By Media (Part 2)(D2.2)
  • U4L19 Statistics Presented By Media (Part 1) ( D2.3)
  • U4L20 Statistics Presented By Media (Part 1) ( D2.3)
  • U4L21 Validity of Conclusions Presented By Media (Part 1) (D2.4)
  • U4L22 Validity of Conclusions Presented By Media (Part 2) (D2.4)
  • U4L23 Application of Data Management in Occupations (D2.5)
  • U4L24 Application of Data Management in College (D2.5)
  • Finish and Hand in MAP4C Unit 4 Assignment at the end of lesson
  • MAP4C Unit 4 Online Test
  • MAP4C Final Project
  • MAP4C Final Exam
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