## Math Proficiency Test

Candidates who are registering in AQ Mathematics, Intermediate Division should carefully review the information below

**Test Dates**

**ABQ Mathematics, Intermediate Division is open for enrollment for the upcoming Winter 2022 semester. Online testing will be set up between January 8, 2022 to January 17, 2022. If you need to take the test, contact aq@uwindsor.ca to schedule.**

**Location:** Online testing

Candidates who have not paid for the test or who have not registered for AQ Mathematics, Intermediate Division will not be permitted to take the test. You can pay for the test online. https://register.continue.uwindsor.ca/. The option to pay for the test is under Special Requests under your student account options.

Candidates who have not paid for the test or who have not registered for ABQ Mathematics, Intermediate will not be permitted to take the test. You can pay for the test online. https://register.continue.uwindsor.ca/. The option to pay for the test is under Special Requests under your student account options.

## Test Details

### Print Resources

- Grade 7/8
- Nelson Mathematics 7-8 (2005)
- Pearson Math Makes Sense 7-8 (2005)
- Grade 9/10
- McGraw Hill Principles of Mathematics 9-10 (2006, 2007)
- Nelson Principles of Mathematics 9-10 (2006)
- Pearson Math 9 (2005) Online Resources:

### Curriculum Topics Covered

Below is a listing of most of the topics in each of the grade 7-10 math curriculums. For the grade 9 and 10 curriculum, the focus will be on the academic versions of those courses. While this is meant to be a good representation of these curricula, not all topics will be covered to the same degree.

**Grade 7&8 Curriculum**

*Strand: Number Sense and Numeration*

- Ordering decimals, fractions and integers
- Generating multiples and factors of numbers
- Perfect squares and square roots
- Operations with fractions, decimals, and integers
- Connecting fractions, decimals, percents and ratios
- Solving problems dealing with percents, ratios and unit rates
- Exponential Notation
- Convert between fractions, decimals and percents
- Prime factorization
- Order of operations with integers

*Strand: Measurement*

- Convert between metric units for linear, area and volume measurements
- Solve problems involving areas of trapezoids
- Calculate the area of two dimensional composite figures
- Calculate the volume and surface area of right prisms of varying base shapes
- solve problems that require conversions involving metric units of area, volume, and capacity
- Circumference and Area of Circles
- Surface area and volume of cylinders

*Strand: Geometry and Spatial Sense*

- Sort and classify triangles and quadrilaterals
- Use Triangle theorems to prove congruency
- Determine whether two shapes are similar
- Plot points on the Cartesian plane
- Relationship between perimeter, area and length of similar shapes
- Parallel lines, and angle theorems
- Use Pythagorean Theorem

*Strand: Patterning and Algebra*

- Understand linear growing patterns
- Evaluation of numeric expressions
- Solving simple linear equations
- Understanding and representing linear patterns numerically, algebraically and graphically
- Evaluating algebraic expressions

*Strand: Data Management and Probability*

- Collect and organize categorical, discrete or continuous primary and secondary data
- Read, interpret and draw conclusions from primary data
- Make predictions based on probability
- Represent the outcomes of a probability experiment
- Calculate the theoretical probability of events
- Organize data in graphs and tables and make inferences based on these
- Calculate measures of central tendancy (mean, median, mode)

**Grade 9&10 Academic Curriculum**

*Strand: Number Sense and Algebra*

- Evaluate expressions that include exponents and require order of operations
- Understand exponent rules
- Solve problems requiring rate, ratio and percent
- Understand squaring and square root
- Add, subtract, multiply and simplify polynomial expressions
- Solve equations
- Rearrange formulas

*Strand: Linear Relations*

- Create and interpret scatter plots including creating lines of best fit and making inferences
- Represent linear equations numerically, algebraically and graphically and be able to convert between each
- Be able to distinguish between linear and non linear relationships numerically, algebraically and graphically
- Understand the difference between direct and partial variation
- Understand the effects on a linear relationship as the initial value and/or the rate of change varies

*Strand: Analytic Geometry*

- Describe the difference between slope & y-intercept form and standard form of a linear relation and be able to convert between the two forms
- Be able to calculate the slope of a line segment in a variety of ways
- Interpret the values in the equation y = mx + b and understand the properties of slope
- Be able to graph various forms of linear equations and determine the equation of a graph given information about that graph
- Determine the point of intersection of two linear relationships graphically, using the method of elimination or substitution
- Use the formulas of the midpoint and length of a line segment
- Use and understand the equation of a circle x2 + y2 = r2

*Strand: Measurement and Geometry*

- Optimization of perimeter and area of rectangular shapes
- Solve problems using the Pythagorean theorem
- Solve problems of area and perimeter of 2D composite shapes
- Solve problems involving the surface area and volume of prisms, pyramids, cones, cylinders and spheres including composite shapes
- Determine values of angles in polygons and with parallel lines

*Strand: Quadratic Relations in the Form y = ax2 + bx + c*

- Graph and describe key features of relations in the form y = ax2 + bx + c
- Graph and describe key features of relations in the form y = a(x – h)2 + k
- Given the graph of a parabola, determine its equation
- Expand and factor 2nd degree polynomials
- Solve quadratic equations by factoring, completing the square, graphing and the quadratic formula

*Strand: Trigonometry*

- Solve similar triangles and compare similarity and congruence
- Use the primary trigonometric ratios to solve right triangles
- Use the sine law and cosine law to solve problems

The formulas for perimeter, area and volume will be given on the test paper. All other formulas and conversion factors will not.

## Test Duration

The test is 2 hours.

## Passing Grade

To pass the test you need to achieve at least 70%.