Math at Work 10 Exam Outline
Ch. 1 Consumerism and Travel
Vocabulary: unit price, exchange rate, proportion, unit analysis, SI units, Imperial system of units,
ounce, pound, fluid ounce, gallon, Celsius, Fahrenheit, cup, quart
1.1 Unit Pricing
- Determining unit prices
- Comparing using unit pricing
- Determining % changes in prices
1.2 Currency Exchange
- Converting currencies using proportional reasoning and/or unit analysis
1.3 Measurement Comparisons
- Converting between Imperial units and SI units of mass, capacity and temperature using
proportional reasoning and/or unit analysis
Ch. 2 Measuring Length
Vocabulary: inch, foot, yard, perimeter, dimensions, diameter, circumference
2.1 Imperial Length Measurements
- Using references to estimate lengths in Imperial units
- Calculating lengths in Imperial units
- Converting between Imperial units for length using proportional reasoning and/or unit analysis
2.2 SI Length Measurements
- Using references to estimate lengths in SI units
- Calculating lengths in SI units
- Converting between SI units for length using proportional reasoning and/or unit analysis
2.3 Length Conversions
- Converting between Imperial units and SI units of length using proportional reasoning and/or
unit analysis
2.4 Working with Length
- Calculating the circumference of a circle
- Working with formulas using SI and Imperial units of length (e.g. perimeter, girth)
Ch. 3 Measuring Area
Vocabulary: area, composite shape, surface area, rectangular prism, cylinder
3.1 Imperial Area Measurements
- Estimating (with and without grids) and calculating area in Imperial units (rectangles, triangles,
circles)
- Converting between Imperial square units (e.g. ft.2
in.2)
3.2 SI Area Measurements
- Estimating and calculating area in SI units (rectangles, triangles, circles)
- Converting between SI square units (e.g. m2
cm2)
3.3 Working with Area
- Determining the area of composite shapes
- Determining the effect on the area of changing dimensions
3.4 Surface Area of 3-D Objects
- Calculating the surface area of 3-D objects (rectangular prisms, cylinders
Ch. 4 Getting paid for Your Work
Vocabulary: salary, hourly wage, gross pay, overtime, shift premium, semi-monthly, bi-weekly,
deductions, net pay, commission, bonus, piecework, contract
4.1 Wages and Salary
- Determining the total time worked
- Determining gross pay including time and a half and double pay
4.2 Net Pay
- Determining deductions (e.g. CPP, EI, income tax) and net pay
4.3 Other Forms of Income
- Determining pay for commission work, piecework, and contract work
- Describing the advantages and disadvantages of methods of income
Ch. 5 All About angles
Vocabulary: angle, obtuse angle, acute angle, straight angle, reflex angle, right angle, bisect, angle
bisector, parallel lines, transversal, perpendicular lines, opposite angles, supplementary angles,
complementary angles, corresponding angles, same side exterior angles, same side interior
angles, alternate exterior angles, alternate interior angles
5.1 Estimating and Measuring Angles
- Estimating and measuring angles with a protractor
- Classifying angles (i.e. obtuse, acute, straight, reflex, right)
5.2 Angle Constructions
- Constructing angles and bisecting angles
5.3 Lines and Angles
- Identifying perpendicular, parallel, and transversal lines
- Identifying patterns of angles formed when two lines cross (e.g. opposite, supplementary,
complementary)
- Identifying patterns of angles formed by parallel lines and a transversal (e.g. corresponding,
same side interior or exterior, alternate interior or exterior)
5.4 Angles in our World
- Solving problems with angles formed by parallel lines and a transversal (e.g. corresponding,
same side interior or exterior, alternate interior or exterior)
Ch. 6 Pythagorean Relationship
Vocabulary: right triangle, hypotenuse, leg, Pythagorean relationship
6.1 Right Triangles
- Exploring right triangles
- Estimating the length of the hypotenuse of a right triangle
6.2 The Pythagorean Relationship
- Verifying the Pythagorean relationship
- Determining the lengths of the hypotenuse and legs of right triangles
6.3 Using the Pythagorean Relationship
- Determining if a triangle is a right triangle and whether an angle is a right angle using
Pythagorean
- Solving problems involving right triangles
Ch. 7 Trigonometry
Vocabulary: similar figures, opposite side, adjacent side, tangent ratio, sine ratio, cosine ratio
7.1 Similarity and Scale
- Determining and explain if 2 shapes (e.g. triangles, rectangles, irregular polygons) are similar
- Drawing similar shapes and scale diagrams
- Solving problems involving similar shapes
7.2 The Tangent Ratio
- Identifying the sides of a right triangle (i.e. opposite, adjacent, hypotenuse)
- Showing the relationship between the ratios of side lengths in a set of similar right triangles
- Identifying the tangent ratio in a right triangle
- Using the tangent ratio to solve for an unknown side in a right triangle
7.3 The Sine and Cosine Ratios
- Showing the relationship between the ratios of side lengths in a set of similar right triangles
- Identifying the sine ratio and cosine ratio in a right triangle
- Using the sine ratio and the cosine ratio to solve for an unknown side in a right triangle
- Solving problems using trig ratios
7.4 Determining Unknown Angles
- Using trig ratios to determine unknown angles
- Solving problems using trig ratios
Preparation Hints

Use the table of contents to refresh your memory on the topics

Read the introductions at the beginning of each section (i.e. “Focus On”) and summaries (i.e.
“What you Need to Know”) at the conclusion of each chapter

Read the examples (i.e. “On the Jobs”) from each section of the textbook

Do the “Skill Check” review and “Test Yourself” practice test for each chapter of your textbook

Review quizzes and tests (and redo questions)

Review homework assignments (and redo questions)

Use the Workbook. There is a review section at the end of each chapter to review that chapter
as well as a review section that reviews all chapters to that point.