Grade 11 Applied Mathematics (30S) Outcomes by Unit

Unit A: Non-Linear Functions
Unit B: Personal Finance
Unit C: Systems of Equations
Unit D: Linear Programming
Unit E: Budgets and Investments
Unit F: Data Management and Analysis
Unit G: Precision Measurement
Unit H: Geometry

 

Unit A: Non-Linear Functions

Represent and analyze quadratic and polynomial functions using technology as appropriate

Determine the following characteristics of a graph of a quadratic function: Vertex Domain and range Axis of symmetry Intercepts (A-1)

Use best-fit quadratic equations and their graphs to make predictions and solve problems (A-2)

Solve non-linear equations using a graphing tool (A-3)

Plot data of exponential form using appropriate scales (A-4)

Use best-fit exponential equations and their graphs to make predictions and to solve problems (A-5)

 

Unit B: Personal Finance

Solve consumer problems, using arithmetic operations

Solve consumer problems, including: Wages earned in various situations Property taxation Exchange rates Unit prices (B-1)

Reconcile chequebooks with account statements (B-2)

Unit C: Systems of Equations

Represent and analyze situations that involve expressions, equations, and inequalities

Solve systems of linear equations in two variables (C-1)

Design and solve linear equations to model problem situations (C-2)

 

Unit D: Linear Programming

Use linear programming to solve optimization problems

Graph linear inequalities in one dimension, i.e., one variable (D-1)

Graph linear inequalities in two variables (D-2)

Solve systems of linear inequalities, in two variables, graphically, using technology when appropriate (D-3)

Apply linear programming to find optimal solutions to decision-making problems (D-4)

 

Unit E: Budgets and Investments

Solve consumer problems, using arithmetic operations

Solve budget problems using graphs and tables to communicate solutions (E-1)

Solve investment and credit problems involving simple and compound interest (E-2)

Plot and describe data of exponential form, using appropriate scales (E-3)

 

Unit F: Data Management and Analysis

Analyze graphs or charts of given situations to derive specific information

Extract information from given graphs of discrete or continuous data using: Time series Glyphs Continuous data Contour lines (F-1)

Draw and validate inferences including interpolations and extrapolations from graphical and tabular data (F-2)

Design different ways of presenting and analyzing results by focusing on the truthful display of data and the clarity of presentation (F-3)

 

Unit G: Precision Measurement

Use measuring devices to make estimates and to perform calculations in solving problems

Enlarge or reduce the diagram of a dimensioned object (G-1)

Calculate maximum and minimum values using tolerances for lengths, areas, and volumes (G-2)

Solve problems involving percentage error (G-3)

 

Unit H: Geometry

Develop and apply the geometric properties of circles and polygons to solve problems

Use technology to confirm the following properties of circles and polygons: The perpendicular from the centre of a circle to a chord bisects the chord The measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc The inscribed angles subtended by the same arc are congruent The angle inscribed in a semicircle is a right angle The opposite angles of a cyclic quadrilateral are supplementary A tangent to a circle is perpendicular to the radius at the point of tangency The tangent segments to a circle, from any external point, are congruent The sum of the interior angles of an n-sided polygon is 180° (n-2) (H-1)

Use properties of circles and polygons to solve design and layout problems (H-2)