Below are the major topics for this course. Within each topic, the students will be able to:
PROBLEM SOLVING INTEGRATED THROUGHOUT
Solve problems that involve a specific content area and more than one content area
(ie. geometry, algebra, trig, etc.)
Solve problems that involve mathematics within other disciplines
Analyse problems and identify the significant elements
Work individually and co-operatively
NUMBER OPERATIONS 20% OF THE COURSE
Solve consumer problems : wages, property taxation, exchange rates and unit prices
Reconcile financial statements : cheque books, cash register tallies and daily receipts
PATTERNS AND RELATIONS (VARIABLES & FUNCTIONS) 20% OF THE COURSE
Graph linear inequalities in 2 variables
Solve systems of linear equations in 2 variables :algebraically and graphically
Solve nonlinear using a graphic tool
Solve linear equality systems in 2 variables using graphing technology
Design and solve linear and nonlinaer systems
Apply linear programming to find optimal solutions
PATTERNS & RELATIONS (RELATIONS & FUNCTIONS) 15% OF THE COURSE
Determine the characteristics of a quadratic function: vertex, domain and range, axis of symmetry and intercepts
SHAPE AND SPACE (MEASUREMENT) 15% OF THE COURSE
Enlarge or reduce a dimensioned object, according to a specific scale
Calculate max and min values using tolerances for lengths, area and volume
Solve problems invoving percentage error
Design an appropriate measuring process
SHAPE AND SPACE (2-D AND 3-D OBJECTS) 15% OF THE COURSE
Use technology with dynamic geometry software to apply and confirm the following:
Perpindicular from centre of a circle to a chord
The measure of the central angle
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 quad. are supplementary
A tangent to a circle is perpindicular to the radius
The tangent sements to a circle from any external point are congruent
The sum of the interior angles of an n-sided polygon is equal to (2n-4) right angles
Use properties of circles and polygons to solve design and layout problems
STATISTICS AND PROBABILITY 15% OF THE COURSE
Extract info. from graphs of discrete or continuous data using time series, contious data
and contour lines
Draw and validate inferences, interpolations and extrapolations from graphical and
tabular data
Design different ways of presenting and analyzing results
Collect experimental data and use best-fit exponential and quadratic functions to make
predictions and solve problems
CHAPTER 1 : Graphs
CHAPTER 2: Non-Linear Functions
CHAPTER 3: Linear Systems
CHAPTER 4: Linear Programming
CHAPTER 5: Finance
CHAPTER 6 : Circles
CHAPTER 7: Measurement