
10 APPLIED MATHEMATICS shep's course
This course enables students to
consolidate their understanding of linear relations
extend their problemsolving and algebraic skills
complete investigations, use technology, and explore handson activities
Students will
develop and graph equations in analytic geometry
solve and apply linear systems, using reallife examples
explore and interpret graphs of quadratic relations.
investigate similar triangles and the trigonometry of right triangles
investigate the measurement of threedimensional figures.
Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Click on each unit below to access course work for the unit.
Measurement, Volume and Surface Area 
TIMING 
13 periods 
OVERVIEW 
Students will become familiar with metric and imperial conversions. Students will review determining perimeter, surface are and volume of a variety of shapes as well as reviewing the Pythagorean theorem. Students will then apply these skills as they solve real world problems through both collaboration and individual work. 
OVERALL EXPECTATION 
Measurement and Trigonometry 3: solve problems involving the surface areas and volumes of threedimensional figures, and use the imperial and metric systems of measurement 
SUMMATIVE 
Assignment Series: Solving Real Life Problems Involving Perimeter, Area and Volume(included in 70% term mark) 
Lines and Algebra 
TIMING 
13 periods 
OVERVIEW 
Students will remember skills and concepts about linear relations from grade 9 including: slope, rate of change, yintercepts, creating table of values, recording equations of lines. They will apply their knowledge in a variety of real world contexts and then master their pure math skills relating to lines. 
OVERALL EXPECTATION 
Modeling Linear Relations 1: manipulate and solve algebraic equations, as needed to solve problems Modeling Linear Relations 2: graph a line and write the equation of a line from given information 
SUMMATIVE 
Test: Lines, Equations and Graphs(included in 70% term mark) 
Linear Systems 
TIMING 
13 periods 
OVERVIEW 
Students will apply their knowledge of linear relations to solve linear systems (find where two lines intersect) both graphically and algebraically. 
OVERALL EXPECTATION 
Modeling Linear Relations 3: solve systems of two linear equations, and solve related problems that arise from realistic situations 
SUMMATIVE 
Test: Linear Systems(included in 70% term mark) 
Quadratic Relations of the Form y = ax^{2} + bx + c 
TIMING 
15 periods 
OVERVIEW 
Student will explore this new concept of parabolas and quadratic relations. They will make connections between graphs and equations of parabolas and develop new algebraic skills in writing the equation of quadratic relations in different forms. Students will further their exploration and understanding of parabolas and quadratic relations in grade 11 math. 
OVERALL EXPECTATION 
Quadratic Relations 1: manipulate algebraic expressions, as needed to understand quadratic relations Quadratic Relations 2: identify characteristics of quadratic relations Quadratic Relations 3: solve problems by interpreting graphs of quadratic relations 
SUMMATIVE 
Test: Quadratic Relations(included in 70% term mark) 
Similar Triangles 
TIMING 
5 periods 
OVERVIEW 
Students will use their skills of ratio and proportion and apply them to solve similar triangles. Student will complete an investigation using a variety of techniques to determine unknown heights by comparison with similar triangles. Students will communicate their findings in a written report. 
OVERALL EXPECTATION 
Measurement and Trigonometry 1: use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity 
SUMMATIVE 
Report: Using Similar Triangles to Determine Unknown Heights(included in 70% term mark) 
Trigonometry 
TIMING 
12 periods 
OVERVIEW 
Students will discover the relationship between the sides of right angled triangles and become familiar with solving right angled triangles using the primary trigonometric ratios. Students will explore real world problems and research various careers that use trigonometric skills. Students will further their exploration and understanding of trigonometry in grade 11 math. 
OVERALL EXPECTATION 
Measurement and Trigonometry 2: solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem 
SUMMATIVE 
Test: Trigonometry (included in 70% term mark) 
 