# Math

## MATH 10

### MATH 10C

#### Summary of Course Content and Activities

Math 10 C is organized around 7 major topics.

- Measurement
- Trigonometry
- Factors and Products
- Roots and Powers
- Relations and Functions
- Linear Functions
- Systems of Linear Equations

### Philosophy statement for teaching this course

The new math courses in Alberta have been developed to give students time to understand the big ideas of math, and not simply memorize formulas and algorithms. This is a challenge in an online enviroment, but concepts are presented as much as possible in a way that encourages students to think through the ideas themselves. Manipulatives are used where available and appropriate, and technology is integral in many lessons.

### Prerequisites

A strong background in Math 9 or equivalent is recommended

### Materials and Resources

Provided by NSA

- eText covering all lesson concepts

Purchased by Students

- Graphing calculator, TI83+ or 84+ is recommended for teacher support
- Students will need a scanner for submitting work.

### Forecasted amount of time required to complete each week's lesson

The class is organized around 18 weeks of lessons. Each week has 4 days of lessons and practice problems, and one test. For a student taking the course in one semester, this is ROUGHLY 8 hours of time working on math a week for 18 weeks. For a student taking the course over the entire year this is ROUGHLY 4 hours of time working on math each week for 36 weeks.

### Description of student evaluations, quizzes and tests.

The entire course grade is made up of weekly tests. Tests can be rewritten with no restrictions. Weekly tests are always based 100% on the daily work students are doing.

### MATH 10-3

#### Summary of Course Content and Activities

This course is designed to teach practical math skills. There are 5 components to this course, which are:

1. Measurement

2. Geometry

3. Numbers

4. Algebra

### Prerequisites

Math 9

### Materials and Resources

- Calculator with the minimum of sine, cosine, tangent and exponent keys & a scanner for submitting work

### Forecasted amount of time required to complete each week's lesson

The class is organized around 18 weeks of lessons. Each week has 4 days of lessons and practice problems. For a student taking the course in one semester, this is ROUGHLY 5-6 hours of time working on math a week for 18 weeks. For a student taking the course over the entire year this is ROUGHLY 2.5 - 3 hours of time working on math each week for 36 weeks.

### Description of student evaluations, quizzes and tests.

Students are required to submit weekly lessons, as well as a variety of other tests, quizzes and activities.

## MATH 20

### MATH 20-1

#### Summary of Course Content and Activities

Math 20-1 is made up of 7 Major Units with much of the time devoted to the study of functions in various forms.

- Linear and Non-Linear Systems
- Functions
- Quadratic Functions
- Polynomial Functions
- Rational and other non-linear functions
- Reasoning
- Circle Geometry
- Coordinate Geometry
- Personal Finance

### Philosophy statement for teaching this course

Students will develop an understanding of the concepts of this course through gentle repetition and practice with the big ideas. Graphing calculators are an integral part of the course, and many topics will be illustrated using technology in different forms. Since this is a"pure" math course, much emphasis is placed on theory and symbolic manipulation, though applications and"real life problems" are part of the course as well. Many of the problems that make up the course are multi-step and will require the student to make connections and pull ideas together to solve these tasks. Students must be able to follow through using both their knowledge of the question at hand as well as all the algebraic manipulation skills required to arrive at a solution.

### Prerequisites

A strong background in Pure Math 10 or equivalent will be needed for a student to be sucessful in Math 20-1

### Materials and Resources

Provided by NSA

- Math 20-1 workbook and solution manual

Purchased by Students

- Graphing Calculator, TI83+ or 84+ recommended if you wish teacher support for your calculator
- Students will need a scanner for submitting work.

### Forecasted amount of time required to complete each week's lesson

The class is organized around 18 weeks of lessons. Each week has 4 days of lessons and practice problems, and one test. For a student taking the course in one semester, this is ROUGHLY 8 hours of time working on math a week for 18 weeks. For a student taking the course over the entire year this is ROUGHLY 4 hours of time working on math each week for 36 weeks.

### Description of student evaluations, quizzes and tests.

The entire course grade is made up of weekly tests. Tests can be rewritten with no restrictions. Weekly tests are always based 100% on the daily work students are doing.

### MATH 20-2

#### Summary of Course Content and Activities

Major Course Goals• I can use proportional reasoning to solve problems• I can use quadratic functions to model real-world problems.• I can use quadratic equations to solve problems. • I can identify appropriate mathematical operations for radical expressions• I can solve problems involving radical equations • I can use inductive and deductive reasoning to develop and analyze problem-solving strategies.• I can use reasoning to verify specific aspects of geometric designs. • I can solve triangle problems that do not involve right triangles.• I can analyze data and use it to solve problems.• I can determine the reliability of statistical claims.

Change forecasted amount of time required to complete each week’s lessons: 6 to 8 hours

Description of Student Evaluation, Quizzes and Tests: For semester courses, there are two major grading periods, while for full year courses there are four major grading periods, one after each quarter. Assignments will make up 50% of your final grade, participation and completion of group discussion postings another 10%, your Module assessment tasks 15% and finally tests and quizzes making up 20%. There will also be a final exam at the end of this course 15%

### MATH 20-3

#### Summary of Course Content and Activities

This course is designed to teach practical math skills. There are 5 components to this course, which are:

1. Measurement

2. Geometry

3. Numbers

4. Algebra

5. Statistics

### Prerequisites

Math 10C or Math 10-3

### Materials and Resources

- Calculator with the minimum of sine, cosine, tangent and exponent keys & a scanner for submitting work

### Forecasted amount of time required to complete each week's lesson

The class is organized around 18 weeks of lessons. Each week has 4 days of lessons and practice problems. For a student taking the course in one semester, this is ROUGHLY 5-6 hours of time working on math a week for 18 weeks. For a student taking the course over the entire year this is ROUGHLY 2.5 - 3 hours of time working on math each week for 36 weeks.

### Description of student evaluations, quizzes and tests.

Students are required to submit weekly lessons, as well as a variety of other tests, quizzes and activities.

## MATH 30

### MATH 30-1

#### Summary of Course Content and Activities

Math 30-1 is made up of only 3 Major Units,br /> Much of the course is devoted to the study of functions in various forms.

This unit (Relations and Functions) depends completely on the foundation laid in Math 20-1.

Trigonometry also is based on prior knowledge from Math 20-1.

Permutations, Combinations and the Binomial Theorem is the last of the three units and is the only one that does not lean heavily on prior knowledge.

#### Philosophy statement for teaching this course

Students will develop an understanding of the concepts of this course through gentle repetition and practice with the big ideas.

Graphing calculators are an integral part of the course, and many topics will be illustrated using technology in different forms.

Since this is a "pure" math course, much emphasis is placed on theory and symbolic manipulation, though applications and "real life problems" are part of the course as well.

Many of the problems that make up the course are multi-step and will require the student to make connections and pull ideas together to solve these tasks. Students must be able to follow through using both their knowledge of the question at hand as well as all the algebraic manipulation skills required to arrive at a solution

#### Prerequisites

A STRONG background in Math 20-1 or equivalent will be needed for a student to be successful in Math 30-1

#### Materials and Resources

Provided by NSA

- Absolute Value Publications, Workbook and Solution Manual

Purchased by Students

- Graphing Calculator, TI83+ or 84+ recommended if you wish teacher support for your calculator
- Students will need a scanner for submitting work.

### Forecasted amount of time required to complete each week's lesson

The class is organized around 18 weeks of lessons. Each week has 4 days of lessons and practice problems, and one test. For a student taking the course in one semester, this is ROUGHLY 8 hours of time working on math a week for 18 weeks. For a student taking the course over the entire year this is ROUGHLY 4 hours of time working on math each week for 36 weeks.

### Description of student evaluations, quizzes and tests.

The entire course grade is made up of weekly tests. Tests can be rewritten with no restrictions. Weekly tests are always based 100% on the daily work students are doing.

MATH 30-2Summary of Course Content and ActivitiesMathematics 30-2 is the second course in the -2 course sequence (following Mathematics 20-2) and is intended to provide students with the mathematical understandings and critical thinking skills needed for post-secondary studies that DO NOT require the study of calculus.

Topics include: Logic and Set Theory, Probability, Permutations, Combinations, and the Fundamental Counting Principle, Polynomials, Rational Expressions, Sinusoidal Functions and finally, Exponents and Logarithms

Philosophy statement for teaching this courseMath exists because God created the universe stable and constant with clear patterns and relationships that do not change. As students study mathematics, it should point them towards the Creator."The chief aim of all investigations of the external world should be to discover the rational order and harmony which has been imposed on it by God and which He revealed to us in the language of mathematics." - from Johannes Kepler Mystery of the Cosmos (1956)

Relating the study of mathematics to what the learners already know, deem personally useful and consider relevant, fasciliates learning. This course presents (as often as possible) its learning objectives from a base of concrete experiences and from a solid Biblical perspective. The study of Mathematics will promote higher level thinking and problem solving along side both creativity and imagination.

Major Course Goals• I can use reasoning, set theory and graphic organizers to analyze and solve both games and puzzles. • I can interpret, assess and solve probability problems.• I can use counting methods to solve problems involving permutations and combinations.• I can use polynomial functions be use to model problems. • I can explain how rational expressions and extension of rational numbers.• I can use rational expressions and rational equations to model and solve real-world problems. • I can use sinusoidal functions to model and solve cyclical problems.• I can use exponents and logarithms to solve problems that involve growth and decay.

Change forecasted amount of time required to complete each week’s lessons: about 8 hours

Description of Student Evaluation, Quizzes and Tests: For semester courses, there are two major grading periods, while for full year courses there are four major grading periods, one after each quarter. Assignments will make up 40% of your classroom grade, participation and completion of group discussion postings another 10%, your Module assessment tasks 25% and finally tests and quizzes making up 25%. Please note: There will be a diploma exam at the end of this course, therefore your final mark will be assigned as follows: Final Mark = 70% School Awarded Mark + 30% Diploma Exam Mark

### MATH 31

#### Summary of Course Content and Activities

Mathematics 31 is an introduction to calculus(the fun math). The Math 31 course is designed to introduce you to the mathematical methods of calculus. The course acts as a link between the outcomes of Math 10-20-30 programs and the requirements of the mathematics encountered in post-secondary study. Calculus is the mathematics of CHANGE. The focus of the course is to examine functions that describe changing situations as opposed to more static situations encountered in previous mathematics.

#### Prerequisites

A STRONG background in Math 30-1 will be needed for a student to be successful in Math 31.

#### Materials and Resources

Provided by NSA

- Online Math 31 textbook

Purchased by Students

- Graphing Calculator, TI83+ or 84+ recommended if you wish teacher support for your calculator
- Students will need a scanner for submitting work.