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Mathematics

Page history last edited by Lana Gotzy 9 years, 6 months ago

Welcome to Anchor Academy's Math department.

 

There are two main streams of math for grade 10, but a student is more than welcome to take them both

 

1. Apprenticeship and Workplace math 10

     In this course students learn very practical math.  This is a good course for students who struggle in math and are not planning on going to university. Students learn how to do currency exchanges and unit pricing.  There is a unit on different ways of earning an income. Area, length and volume are taught in both metric and imperial measure.  Also similarity of figures and some basic trigonometry is covered.  

Data pages for AWM 10

 

2. Foundations and Pre Calculus math 10

    This course is required for any student heading toward university or college.  The course covers, measurement (SI and Imperial), Trigonometry, Factors and Products, Roots and powers, Relations and functions, Linear functions and systems of linear equations.  It is the more challenging of the two math 10 courses. 

Data pages for FMP 10

 

There are three  streams of math 11.  A student can take more than one if they have an interest in math or want to keep the doors open to different paths in the future.  See a fuller list of topics covered in each of these courses at the bottom of this page.

 

1. Apprenticeship and Workplace math 11

     This is for students studying in an apprenticeship or  who struggle in math and are not planning to go to university.  The course covers slope and rate of change, as well as different graphical representations of data.  Surface Area, Volume and Capacity are covered in SI and imperial units.  Trigonometry and scale representations are also covered.  Finally financial services and creating budgets are taught. 

 

2. Foundations math 11

     This math course is designed for those students who plan to study at college, but are not as mathematically inclined.   The course covers Inductive and deductive reasoning, Properties of Angles and triangles, Acute and Oblique triangle trigonometry, Statistical reasoning, Quadratic functions and equations and finally proportional reasoning. For a complete list of topics see below. 

 

3. Pre Calculus math 11

     This course is a course designed for students who have a strong ability to do math.  It is required for students planning to enter university in the science or math field.   The course covers Sequencing and Series, Trigonometry, Quadratics (functions and equations), Radical expressions and equations, Rational expressions and equations, Absolute value and reciprocal functions, Systems of equations and Linear and Quadratic inequalities.  For a complete list of topics see below. 

 

 There are three streams of math 12 in 2012.  A student does not need math 12 to graduate.  So a student can choose to take all or only one or none of these courses. 

 

If a student plans to go on to get a degree in math or science they will need to take PreCalculus 12.  But if they are not sure what they are wanting to study, it is best to check with the various colleges as to the requirements as they vary greatly.

 

 1.  Apprenticeship and Workplace math 12

This math will cover

Measurement- the limitations of measuring (precision and accuracy),

Geometry-the sine and cosine law as well as problems involving triangles and other regular polygons,

Number operations - solve problems related to buying or leasing a vehicle, as well as small business expenses,

Graphing

Statistics - central tendency and percentiles, and Probability. 

 

2. Foundations math 12

This math course will cover

Financial math- compound interest, renting vs leasing vs buying and investment portfolios.

Logical reasoning - set theory and conditional statements.

Probability - odds, two events, fundamental counting principle, permutations and combinations.

Functions - solving polynomials, exponential, logarithmic, and sinusoidal functions,

as well as current events in math. 

 

3. Pre-Calculus math 12

This math course will cover

Trigonometry - angles in standard position, equation of the unit circle, six trig ratios, solving 1st and 2nd degree trig equations and proving trig identities.

Relations - compositions of functions, translating, reflecting and stretching functions.

Logarithms and exponents - product, quotient and power laws, graphing the functions.

Polynomials - factoring, graphing, radical functions, rational functions.

Statistics - Permutations, fundamental counting principle, combinations, binomial theorem,

 

 

For a graphing calcultor go to

http://www.coolmath.com/graphit/

http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

 

Complete list of topics in math 11

Apprenticeship and Workplace math 11 covers:

Slope and rate of change

Graphical representations of data

Surface area and Volume of pyramids, spheres, cones and cubes

Trigonometry of right triangles

Scale representations of two and three dimensional objects and converting from one to two to three dimensions

Understanding financial services (credit cards, loans, and banking)

Working with and analyzing personal budgets

 

Foundations of math 11 covers:

Scale diagrams using proportions, and scale factors for area, surface area and volumes

Proofs and properties of angles and triangles

Using sine and cosine laws

Analyzing and proving conjectures and using inductive and deductive reasoning

Normal distribution (std deviation and Z-scores)

Interpreting statistical data

Model and solve problems that involve systems of linear inequalities in two variables

Understanding the characteristics of quadratic functions (vertex, intercepts, domain and range)

Historical events in math

 

PreCalculus math 11 covers:

Absolute values of real numbers

Solve problems with radical and Radical expressions

Determine equivalent forms of radical expressions (monomial, binomials and trinomials) 

Perform operations with and solve problems involving Rational expressions 

Understanding angles in standard position

Solve problems with the three trig ratios and using sine and cosine laws

Factor polynomial expression

Graph and analyse absolute value functions

Analyze quadratic functions to determine the vertex, domain and range, x and y intercepts, etc. 

Solve algebraically and graphically problems that involve systems of equations

Solve linear and quadratic inequalities

Analyze arithmetic sequence and series and geometric sequences and series

Graph and analyse reciprocal functions

 

 

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