Math at Work 11 Pacing Guide - This pacing guide replaces the previous yearly plan. It has been updated to reflect removed outcomes and provide flexibility for responsive instruction.
Math at Work 10 - 12 and related Math 7 - 9 Outcomes *Updated May 2024*
A01 - This is not an outcome that can be taught in isolation but must be integrated as a foundational concept within each of the units in the course.
A01 Students will be expected to solve problems that require the manipulation and application of formulas related to
volume and capacity
surface area
slope and rate of change
simple interest
finance charges
[C, CN, PS, V]
A01.01 Solve a contextual problem involving the application of a formula that does not require manipulation.
A01.02 Solve a contextual problem involving the application of a formula that requires manipulation.
A01.03 Explain and verify why different forms of the same formula are equivalent.
A01.04 Describe, using examples, how a given formula is used in a trade or an occupation.
A01.05 Create and solve a contextual problem that involves a formula.
A01.06 Identify and correct errors in a solution to a problem that involves a formula.
A02 Students will be expected to demonstrate an understanding of slope
as rise over run
as rate of change
by solving problems
[C, CN, PS, V]
A02.01 Describe contexts that involve slope (e.g., ramps, roofs, road grade, flow rates within a tube skateboard parks, ski hills).
A02.02 Explain, using diagrams, the difference between two given slopes (e.g., a 3:1 and a 1:3 roof pitch), and describe the implications.
A02.03 Describe the conditions under which a slope will be either 0 or undefined.
A02.04 Explain, using examples and illustrations, slope as rise over run.
A02.05 Verify that the slope of an object, such as a ramp or a roof, is constant.
A02.06 Explain, using illustrations, the relationship between slope and angle of elevation (e.g., for a ramp with a slope of 7:100, the angle of elevation is approximately 4°).
A02.07 Explain the implications, such as safety and functionality, of different slopes in a given context.
A02.08 Explain, using examples and illustrations, slope as rate of change.
A02.09 Solve a contextual problem that involves slope or rate of change.
A03 Students will be expected to solve problems by applying proportional reasoning and unit analysis. [C, CN, PS, R]
A03.01 Explain the process of unit analysis used to solve a problem (e.g., given km/h and time in hours, determine how many kilometres; given revolutions per minute, determine the number of seconds per revolution).
A03.02 Solve a problem, using unit analysis.
A03.03 Explain, using an example, how unit analysis and proportional reasoning are related (e.g., to change km/h to km/min., multiply by 1 h/60 min. because hours and minutes are proportional [constant relationship]).
A03.04 Solve a problem within and between systems using proportions or tables (e.g., km to m or km/h to ft./sec.).
Additional Resources and Activities for A01 and A02 (slope and rate of change):
When the Answer is E: He Falls off the Roof and Breaks His Neck - An investigation into the angle that a ladder should make with a wall.
Breaking Handicap Laws - A look a slope from the perspective of ramps.
Staircases and Steepness - Using a variety of staircases to introduce slope as a measure of "steepness." Estimate some slopes and methods of estimating without measuring. Staircases handout.
Polygraph Lines Desmos Activity - Ask questions to guess which graph your classmate picked.
Land the Plane Desmos Activity - In this activity, students practice finding equations of lines in order to land a plane on a runway. Most of the challenges are well-suited to slope-intercept form, but they are easily adapted to other forms of linear equations depending on the goals of an individual class or a student.
Marbleslides: Lines Desmos Activity - In this delightful and challenging activity, students will transform lines so that the marbles go through the stars. Students will test their ideas by launching the marbles and will have a chance to revise before trying the next challenge.
The Plumb Bob - What is this tool, and how do you use it?
Additional Resources and Activities for A03 (proportional reasoning and unit analysis):
Click Battle Desmos Activity - In this proportional reasoning activity, students will explore unit rate in the Click Battle arena.