# Hull Adult Education Centre

## To Know is to Grow

All Mathematics courses count as credit toward a Quebec High School Diploma or post-secondary pre-requisites

Welcome to the Hull Adult Education Centre’s Math Department! Here you will meet our three very capable and enthusiastic teachers David Hetherington, Darren Hataley and Michelle Wismer.

The Mathematics department offers the full range of math courses from level 1 up to level 5 advanced.

Credits to be used towards secondary school graduation begin at level 4. Before reaching level 4 students are attaining the knowledge they need to be successful with level 4 math and above.

For many students, who are taking math courses to fulfill either graduation requirements or CEGEP entry requirements, basic level 4 math is enough. In this level, students will study the following modules:

Equations and Inequalities II (MTH 4101-2)- In this course students continue to advance their knowledge of graphing , they learn to solve algebraic equations with two variables and they learn how to solve everyday life situations using this knowledge.

Geometry III (MTH 4102-1)- In this course students will learn how to apply various operations to geometric figures such as moving them, rotating them, drawing their reflections or doing a size transformation.

They will work with triangles which have the same shape and learn how to calculate missing sides. Students will also learn how to solve various problems involving scale diagrams.

Trigonometry I (MTH 4103-1)- In this course students will learn how to find missing sides and angles in triangles and will solve problems with everyday life situations involving these concepts.

Statistics II (MTH 4104-2)- In this course students will learn the vocabulary of statistics as well as various methods of analyzing data using statistics such as mean, median, mode, margins of error, quartile, quintile and percentile.

These four courses complete the basic level four math program.

Some students need to have basic level five math in order to fulfill the admissions requirements of the post-secondary institute they will be attending.

The basic level 5 math is comprised of four modules:

Optimization 1 (MTH 5101-1) continues to advance the student’s knowledge of algebra with two variables and of graphing, as well as applying this knowledge in a very specific way in order to solve everyday life problems.

Statistics III (MTH 5102-1) introduces new statistical concepts not covered in level 4 statistics such as variance, standard deviation, correlation and regression lines and shows the student how to apply these concepts in practical situations.

Probability III (MTH 5103-1)- Students advance their knowledge of probability to probability of two events occurring and learn the concepts of odds for and odds against. They learn to apply this knowledge with geometric figures. They also learn the concept of expected outcome in betting situations.

Optimization II (MTH 5104-1)- the student learns to find the best path of multiple paths in order to begin at one site and end at another. They are also introduced to the vocabulary that accompanies this. They also learn the concept of critical path allowing them to predict how long a given task may take.

Some students may need advanced levels of math in order to study such courses as commerce, sciences, technology, engineering, etc. at post-secondary institutes.

Level 4 advanced math is comprised of seven modules:

Exponents and Radicals (MTH 4105-1) introduces the student to arithmetic operations involving exponents and radicals.

Factoring and Algebraic Fractions (MTH 4106-1) introduces the student to the concept of factoring algebraic expressions and then carrying out arithmetic operations with factors.

Straight Lines II (MTH 4107-1) advances students’ knowledge of working with straight lines and deriving straight line equations, as well as determining distance between points and also distances using ratios.

Quadratic Equations (MTH 4108-1) introduces students to parabolas. They learn how to solve equations of parabolas to derive essential information, as well as how to graph them and solve everyday life problems using quadratic equations.

Sets, Relations and Functions (MTH 4109-1) introduces more advanced mathematical language and reviews many concepts students have learned to date.

Operations on Algebraic Fractions (MTH 4110-1) deepens the student’s knowledge of algebraic fractions.

Complement and Synthesis I (MTH 4111-2) re-visits almost every mathematical concept the student has learned to date, and invites the student to apply them in new contexts.

• Some students need more advanced math in order to enter into certain programs such as business, sciences, engineering, or technology courses. As a result, we offer advanced Level 5 math in 11 modules and these courses would be a prelude to more advanced math such as pre-calculus at a CEGEP or college level.

Conics (MTH 5105-1) deals with conics and the figures that can be obtained when a cone is cut at different angles. Students will be re-introduced to the circle and parabola and will also investigate the shapes and properties of ellipses and hyperbolas.

Real Functions and Equations (MTH 5106-1) is an extension of the study of relations that has been addressed in previous courses. Students will review the basic concepts relating to functions and their representations. These include linear, quadratic, absolute value, greatest integer, square root and rational. Inverse properties, transformations and solving equations of these functions, will also be examined.

Exponential and Logarithmic Functions and Equations (MTH 5107-1) introduces two new functions: exponential and logarithmic. In this module students learn about the rules that govern calculations involving these functions, as well as how to graph and identify their individual characteristics, including equation formats.

Trigonometric Functions and Equations (MTH 5108-1)

This module allows students to expand their knowledge of the trigonometry that was started in MTH 4103-1. They will be introduced to the trigonometric circle and the wrapping function, while re-visiting basic sine, cosine and tangent laws. The six trigonometric functions and sinusoidal functions will be graphed and their characteristics examined; after which students will be asked to prove both simple and complex trigonometric identities.

Geometry IV (MTH 5109-1) will review the basic concepts surrounding circles and right triangles that were introduced in the MTH 3016-2 module. On the topic of circles these include radius, arc, tangent, area, circumference and secant. For right triangles students will re-examine the altitude, hypotenuse and the relationships that govern the measures of lengths in the right triangles and their practical applications.

Introduction to Vectors (5110-1) shows the student how to calculate and describe a position related to both distance and direction.

Complement and Synthesis II (5111-2) Complement and Synthesis II is a review of concepts the student has learned throughout their study of secondary school mathematics and in a rather sophisticated context. Students even need to sometimes make their own constructions in order to be able to solve a given problem.

We look forward to working with you to achieve your goals!