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10 APPLIED MATHEMATICS shep's course

This course enables students to
          consolidate their understanding of linear relations
         extend their problem-solving and algebraic skills
         complete investigations, use technology, and explore hands-on activities

Students will
       develop and graph equations in analytic geometry
      solve and apply linear systems, using real-life examples
      explore and interpret graphs of quadratic relations.
      investigate similar triangles and the trigonometry of right triangles
      investigate the measurement of three-dimensional 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 three-dimensional 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)
    Click here to access work for the unit: measurement, volume and surface area



Lines and Algebra
TIMING
13 periods
OVERVIEW
Students will remember skills and concepts about linear relations from grade 9 including: slope, rate of change, y-intercepts, 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 = ax2 + 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)


Please email me if you have any questions, comments or concerns:  shepherdll@limestone.on.ca


Last Modified: May 02, 2013
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