# Math

## About Math Courses

High School Mathematics courses are designed to improve student understanding in seven interrelated areas:

**Communication**- Using communication in order to learn and express understanding**Connections**- Making connections among mathematical ideas, other concepts in mathematics, everyday experiences and other disciplines**Mental Mathematics and Estimation**- Demonstrating fluency with mental mathematics and estimation**Problem Solving**- Developing and applying new mathematical knowledge through problem solving**Reasoning**- Developing mathematical reasoning**Technology**- Selecting and using technology as a tool for learning and for solving problems**Visualization**- Developing visualization skills to assist in processing information, making connections and solving problems

Mathematics is one of the required courses that students must take to prepare for continued academic studies and/or to improve their knowledge of the above processes for the world of work. Students require a 20-level (Grade 11) Math course to graduate from high school.

All Math courses are worth five credits each. Math 30-1 and Math 30-2 are diploma exam courses, and students' final grades in these courses are calculated as 70% of their school-awarded mark plus 30% of their diploma exam mark.

## Course Sequences

### Math 10C, 20-1, 30-1 (Pre-Calculus Route)

As the prerequisite for both Math 20-1 and Math 20-2, Math 10C (Math 10 Combined) is designed to prepare students for both the Pre-Calculus and the Principles of Mathematics routes. Students must have demonstrated consistent proficiency (Excellent/Competent) in Math 9 in order to enrol in Math 10C. To be successful in Math 10C, students require a strong work ethic and must be prepared to work outside of class time.

Math 20-1 and Math 30-1 are required for students planning to enter post-secondary programs that involve the study of calculus. As pre-calculus requires a strong algebra background, students should achieve a minimum mark of 70% in the prerequisite course in order to be successful in the next level of this route.

Pre-Calculus Route students in good standing who wish to continue their math learning in preparation for post-secondary have the opportunity to enrol in the Math 31 option after completing Math 30-1.

### Math 10-3/C, 20-2 & 30-2 (Principles of Mathematics Route)

Math 10-3/C is intended for students who have not yet met the recommended guidelines for entering Math 10C, but whose Grade 9 teacher believes they will be able to achieve those guidelines, given a little extra time and remediation.

Should there be sufficient enrolment, Math 10-3/C will be offered as a year-long blended course in the semester system (or as a two-quarter course in the quarter system), in which students will complete both Math 10-3 at a faster pace and Math 10C at a slower pace, with the intent of filling any gaps in their mathematics learning, allowing them more time to gain a better understanding of the more challenging Math 10C concepts, and preparing them for Math 20-2.

Together, Math 20-2 and Math 30-2 are accepted as prerequisites for a variety of programs offered at universities, colleges and technical institutions. As these courses are more algebraically vigorous than their "-3" or "-4" counterparts, students should achieve a minimum mark of 70% in the prerequisite course in order to be successful in the next level of this route.

### Math 10-3, 20-3, 30-3 (Trades & Apprenticeship Route)

The "-3" Math courses were developed in conjunction with the trade and apprenticeship programs to ensure that the concepts are applicable to some apprenticeship trades and/or direct entry into the workplace.

Math 30-3 can be a prerequisite for enrolment in certain post-secondary institutions. As such, it is recommended that students achieve a minimum grade of 65% in Math 20-3 and demonstrate a strong work ethic if they wish to enrol in Math 30-3.

### Math 10-4 & 20-4 (Knowledge & Employability Route)

These courses are for students who are earning a Certificate of High School Achievement in the Knowledge & Employability Program.

In Math 10-4 and 20-4, students focus on developing essential mathematics knowledge, skills and attitudes needed for everyday living at home, in the workplace and in the community. Some trades require higher level math, so students should investigate required course pre-requisites.

Successful completion of Math 10-3 or Math 20-4 is required for all students in order to earn a Certificate of High School Achievement.

## Course List

The following Math courses are available at MCHS. Click on the course level to read descriptions of each of the courses available at that level.

## Grade 10 Level Courses

### Math 10C

**Prerequisite:** Completion of Grade 9 Math and/or Math 10-3**Credits:** 5

In this course, you’ll learn all about measurement, trigonometry, exponents and radicals, polynomials, functions and relations, linear equations, and linear systems. You’ll also examine how these functions of math are applied in the real world.

### Math 10-3/C

**Prerequisite:** Completion of Grade 9 Math**Credits:** 5

Math 10-3/C is intended for students who have not yet met the recommended guidelines for entering Math 10C, but whose Grade 9 teacher believes they will be able to achieve those guidelines, given a little extra time and remediation.

Should there be sufficient enrolment, Math 10-3C will be offered as a year-long course in which students will complete both Math 10-3 at a faster pace and Math 10C at a slower pace, with the intent of filling any gaps in their mathematics learning, allowing them more time to gain a better understanding of the more challenging Math 10C concepts, and preparing them for Math 20-2.

### Math 10-3

**Prerequisite:** Completion of Grade 9 Math**Credits:** 5

In this class, you’ll gain the mathematical understanding and critical thinking skills appropriate for entry into the majority of trades, or direct entry into the workforce. Students may enter this course with any mark in Math 9. You’ll study topics such as income, personal income taxes, working with money, measurements, geometry, and more.

### Math 10-4

**Prerequisite:** Completion of Grade 9 Math**Credits:** 5

In this course, students work through the following topics, using a problem-solving approach to complete calculations and solve word problems in everyday home, workplace and community contexts.

- Understanding Numbers
- Patterns, Formulas, and Problem-Solving
- Metric and Imperial Measurement
- Everyday Measurement
- Working With Shapes
- Using Data

Students who have experienced challenges or difficulty with their skills will be provided with additional strategies for success in the Knowledge and Employability -4 course sequence.

## Grade 11 Level Courses

### Math 20-1

**Prerequisite:** Completion of Math 10C**Credits:** 5

This course is based on the Alberta Education Program of Studies, and will provide you with the mathematical understandings and critical thinking skills required for entry into post-secondary programs that are math-intensive and require the study of calculus. Topics include the following:

- Sequences and Series
- Quadratic Function and Equations
- Radicals
- Trigonometry
- Rational Expressions and Equations
- Absolute Values and Reciprocal Functions
- Equations and Inequalities

### Math 20-2

**Prerequisite:** Completion of Math 10C and/or 20-3**Credits:** 5

In this course, you’ll gain the mathematical understandings and critical thinking skills appropriate for entry into post-secondary programs that **do not** require the study of calculus. Topics you’ll study include:

- Radicals
- Quadratic functions
- Logic and reasoning
- Geometry
- Proportional reasoning
- Statistics

### Math 20-3

**Prerequisite:** Completion of Math 10-3**Credits:** 5

In this course, you’ll gain the mathematical understanding and critical thinking skills appropriate for entry into the majority of trades, or for direct entry into the workforce. This is a hands-on course that allows you to apply your knowledge of subjects to real-world situations. Topics include:

- Personal finances
- Rrepresenting 3D objects visually
- Algebra
- Statistics
- ...and more.

### Math 20-4

**Prerequisite:** Completion of Math 10-4**Credits:** 5

In this course, students work through the following topics, using a problem-solving approach to complete calculations and solve word problems in everyday home, workplace and community contexts.

- Understanding Numbers
- Patterns, Formulas, and Problem-Solving
- Metric and Imperial Measurement
- Everyday Measurement
- Working With Shapes
- Using Data

Students who have experienced challenges or difficulty with their skills will be provided with additional strategies for success in the Knowledge and Employability -4 course sequence.

## Grade 12 Level Courses

### Math 30-1

**Prerequisite:** Completion of Math 20-1**Credits:** 5

This course is based on the Alberta Education Program of Studies, and will provide you with the mathematical understandings and critical thinking skills required for entry into post-secondary programs that are math-intensive and require the study of calculus. Topics include the following:

- Trigonometry
- Transformations
- Logarithms
- Function operations
- Permutations
- Combinations
- Binomial Theorem

### Math 30-2

**Prerequisite:** Completion of Math 20-2**Credits:** 5

In this course, you’ll gain the mathematical understandings and critical thinking skills appropriate for entry into post-secondary programs that **do not** require the study of calculus. Topics you’ll study include:

- Set theory
- Counting methods
- Probability
- Rational expressions
- Polynomial functions
- ...and more.

### Math 30-3

**Prerequisite:** Completion of Math 20-3**Credits:** 5

In this course, you’ll gain the mathematical understanding and critical thinking skills appropriate for entry into the majority of trades, or for direct entry into the workforce. This is a hands-on course that allows you to apply your knowledge of subjects to real-world situations. Topics include:

- Probability
- Statistics
- Measurement
- Business plans
- ...and more.

### Math 31

**Prerequisite:** Completion of Math 30-1**Credits:** 5

This course is designed for students with a strong interest in and aptitude for mathematics, who intend to pursue a math-focused post-secondary program. Topics of study include:

- Review of pre-calculus
- Limits
- Trigonometry
- Curve sketching
- Derivatives
- Related rates
- Optimization
- Integration