Math 12 Foundations
COURSE OVERVIEW
ExamBank Chapter & Course Practice Questions
Unit 1 – Finance
Chapter 1: Financial Math: Investing Money
(Simple Interest, Compound Interest: Future Value & Present Value, Investments Involving Regular Payments, Solving Investment Portfolio problems)
PLO - Solve problems that involve compound interest in financial decision making.
Sec1.1 – Simple Interest
Sec1.2 – Exploring Compound Interest
Compound Interest: word problems
Continuously Compounded interest: word problems
Sec1.3 – Compound Interest: Future Value
Sec1.4 – Compound Interest: Present Value
Sec1.5 – Investments Involving Regular Payments
Sec1.6 – Solving Investment Portfolio Problems
Chapter 2: Financial Math: Borrowing Money
(Analyzing Loans, Credit Card Use, Buy/Rent/or Lease)
PLO - Analyze costs and benefits of renting, leasing and buying.
Sec2.1 – Analyzing Loans
Sec2.2 – Exploring Credit Card Use
Sec2.3 – Solving Problems Involving Credit
Sec2.4 – Buy, Rent, or Lease?
Unit 2 – Logical Reasoning
Chapter 3: Set Theory & Logic
(Sets and Set Notation, Relationships/Intersection/Union of two sets, Applications of Set Theory, Conditional Statements & Their Converse, Inverse and Contrapositive of Conditional Statements)
PLO - Solve problems that involve the application of set theory.
PLO - Solve problems that involve conditional statements.
Intro Venn Diagrams
Sec3.1 – Types of Sets and Set Notation
Sec3.2 – Exploring Relationships between Sets
Sec3.3 – Intersection and Union of Two Sets
Sec3.4 – Application of Set Theory
Sec3.5 – Conditional Statements and Their Converse
Identifying Hypothesis & Conclusion
Counterexamples
Conditionals
Sec3.6 – The Inverse and the Contrapositive of Conditional Statements
Negations
Converses, Inverses, and Contrapositives
Biconditionals
Unit 3 – Statistics & Probability
Chapter 4: Counting Methods
(Counting Principles, Permutations & Factorial Notation, Exploring Combinations)
PLO - Solve problems that involve the fundamental counting principle.
PLO - Solve problems that involve permutations
PLO - Solve problems that involve combinations
Sec4.1 – Counting Principles
Counting Principle
Sec4.2 – Introducing Permutations and Factorial Notation
Permutations
Sec4.3 – Permutation When All Objects Are Distinguishable
Sec4.4 – Permutations When Objects Are Identical
Sec4.5 – Exploring Combinations
Permutation & Combination notation
Sec4.6 – Combinations
Sec4.7 – Solving Counting Principles
Chapter 5: Probability
(Probability and Odds, Probabilities Using Counting Methods, Mutually Exclusive Events, Conditional Probability, Independent Events)
PLO - Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events.
PLO - Interpret and assess the validity of odds and probability statements. PLO - Solve problems that involve the probability of two events.
Sec5.1 - Exploring Probability
Theoretical & Experimental
Independent & Dependent Events
Probability of Independent & Dependent Events
Sec5.2 – Probability & Odds
Sec5.3 – Probabilities Using Counting Methods
Sec5.4 – Mutually Exclusive Events
Sec5.5 – Conditional Probability
Sec5.6 – Independent Events
Unit 4 – Relations & Functions
Chapter 6: Polynomial Functions
(Graphs of Polynomial Functions, Characteristics of Equations of Polynomial Functions, Modelling Data with Lines of Best Fit and with Curve of Best fit)
PLO - Represent data, using polynomial functions (of degree ≤ 3), to solve problems.
Sec6.1 – Exploring the Graphs of Polynomial Functions
Sec6.2 – Characteristics of the Equations of Polynomial Functions
Sec6.3 – Modelling Data with Lines of Best Fit
Sec6.4 – Modelling Data with a Curve of Best Fit
Chapter 7: Exponential & Logarithmic Functions
(Characteristics of Exponential Functions, Modelling Data using Exponential functions, Characteristics of Logarithmic Functions with Base 10 and Base e, Modelling Data using Logarithmic Functions)
PLO - Represent data, using exponential and logarithmic functions, to solve problems.
Sec7.1 – Exploring the Characteristics of Exponential Functions
Sec7.2 – Relating the Characteristics of an Exponential Function to its Equation
Sec7.3 – Modelling Data Using Exponential Functions
Sec7.4 – Characteristics of Logarithmic Functions with Base 10 and Base e
Sec7.5 – Modelling Data Using Logarithmic Functions
Chapter 8: Sinusoidal Functions
(Radian Measure, Graphs of Periodic Functions, Graphs of Sinusoidal Functions, Equations of Sinusoidal Functions, Modelling Data with Sinusoidal Functions)
PLO - Represent data, using sinusoidal functions, to solve problems.
Sec8.1 – Radian Measure
Sec8.2 – Exploring Graphs of Periodic Functions
Sec8.3 – The Graphs of Sinusoidal Functions
Sec8.4 – The Equations of Sinusoidal Functions
Sec8.5 – Modelling Data with Sinusoidal Functions
This course follows provincial designed curriculum to meet the ministry of education prescribed learning outcomes. Course material is subject to change at the discretion of the teacher.
Course Evaluation:
Classwork/Homework – 55%
Tests – 30%
Quizzes – 15%
Textbook & Student Workbook Used:
Nelson Foundation of Mathematics
Expectations:
1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.
2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.
3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.
ExamBank Chapter & Course Practice Questions
Unit 1 – Finance
Chapter 1: Financial Math: Investing Money
(Simple Interest, Compound Interest: Future Value & Present Value, Investments Involving Regular Payments, Solving Investment Portfolio problems)
PLO - Solve problems that involve compound interest in financial decision making.
Sec1.1 – Simple Interest
Sec1.2 – Exploring Compound Interest
Compound Interest: word problems
Continuously Compounded interest: word problems
Sec1.3 – Compound Interest: Future Value
Sec1.4 – Compound Interest: Present Value
Sec1.5 – Investments Involving Regular Payments
Sec1.6 – Solving Investment Portfolio Problems
Chapter 2: Financial Math: Borrowing Money
(Analyzing Loans, Credit Card Use, Buy/Rent/or Lease)
PLO - Analyze costs and benefits of renting, leasing and buying.
Sec2.1 – Analyzing Loans
Sec2.2 – Exploring Credit Card Use
Sec2.3 – Solving Problems Involving Credit
Sec2.4 – Buy, Rent, or Lease?
Unit 2 – Logical Reasoning
Chapter 3: Set Theory & Logic
(Sets and Set Notation, Relationships/Intersection/Union of two sets, Applications of Set Theory, Conditional Statements & Their Converse, Inverse and Contrapositive of Conditional Statements)
PLO - Solve problems that involve the application of set theory.
PLO - Solve problems that involve conditional statements.
Intro Venn Diagrams
Sec3.1 – Types of Sets and Set Notation
Sec3.2 – Exploring Relationships between Sets
Sec3.3 – Intersection and Union of Two Sets
Sec3.4 – Application of Set Theory
Sec3.5 – Conditional Statements and Their Converse
Identifying Hypothesis & Conclusion
Counterexamples
Conditionals
Sec3.6 – The Inverse and the Contrapositive of Conditional Statements
Negations
Converses, Inverses, and Contrapositives
Biconditionals
Unit 3 – Statistics & Probability
Chapter 4: Counting Methods
(Counting Principles, Permutations & Factorial Notation, Exploring Combinations)
PLO - Solve problems that involve the fundamental counting principle.
PLO - Solve problems that involve permutations
PLO - Solve problems that involve combinations
Sec4.1 – Counting Principles
Counting Principle
Sec4.2 – Introducing Permutations and Factorial Notation
Permutations
Sec4.3 – Permutation When All Objects Are Distinguishable
Sec4.4 – Permutations When Objects Are Identical
Sec4.5 – Exploring Combinations
Permutation & Combination notation
Sec4.6 – Combinations
Sec4.7 – Solving Counting Principles
Chapter 5: Probability
(Probability and Odds, Probabilities Using Counting Methods, Mutually Exclusive Events, Conditional Probability, Independent Events)
PLO - Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events.
PLO - Interpret and assess the validity of odds and probability statements. PLO - Solve problems that involve the probability of two events.
Sec5.1 - Exploring Probability
Theoretical & Experimental
Independent & Dependent Events
Probability of Independent & Dependent Events
Sec5.2 – Probability & Odds
Sec5.3 – Probabilities Using Counting Methods
Sec5.4 – Mutually Exclusive Events
Sec5.5 – Conditional Probability
Sec5.6 – Independent Events
Unit 4 – Relations & Functions
Chapter 6: Polynomial Functions
(Graphs of Polynomial Functions, Characteristics of Equations of Polynomial Functions, Modelling Data with Lines of Best Fit and with Curve of Best fit)
PLO - Represent data, using polynomial functions (of degree ≤ 3), to solve problems.
Sec6.1 – Exploring the Graphs of Polynomial Functions
Sec6.2 – Characteristics of the Equations of Polynomial Functions
Sec6.3 – Modelling Data with Lines of Best Fit
Sec6.4 – Modelling Data with a Curve of Best Fit
Chapter 7: Exponential & Logarithmic Functions
(Characteristics of Exponential Functions, Modelling Data using Exponential functions, Characteristics of Logarithmic Functions with Base 10 and Base e, Modelling Data using Logarithmic Functions)
PLO - Represent data, using exponential and logarithmic functions, to solve problems.
Sec7.1 – Exploring the Characteristics of Exponential Functions
Sec7.2 – Relating the Characteristics of an Exponential Function to its Equation
Sec7.3 – Modelling Data Using Exponential Functions
Sec7.4 – Characteristics of Logarithmic Functions with Base 10 and Base e
Sec7.5 – Modelling Data Using Logarithmic Functions
Chapter 8: Sinusoidal Functions
(Radian Measure, Graphs of Periodic Functions, Graphs of Sinusoidal Functions, Equations of Sinusoidal Functions, Modelling Data with Sinusoidal Functions)
PLO - Represent data, using sinusoidal functions, to solve problems.
Sec8.1 – Radian Measure
Sec8.2 – Exploring Graphs of Periodic Functions
Sec8.3 – The Graphs of Sinusoidal Functions
Sec8.4 – The Equations of Sinusoidal Functions
Sec8.5 – Modelling Data with Sinusoidal Functions
This course follows provincial designed curriculum to meet the ministry of education prescribed learning outcomes. Course material is subject to change at the discretion of the teacher.
Course Evaluation:
Classwork/Homework – 55%
Tests – 30%
Quizzes – 15%
Textbook & Student Workbook Used:
Nelson Foundation of Mathematics
Expectations:
1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.
2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.
3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.