Math at Work 12 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*
Math at Work 12 Desmos Activity Collection - A collection of online student Desmos activities organized by unit.
A01 Students will be expected to demonstrate an understanding of linear relations by
recognizing patterns and trends
graphing
creating tables of values
writing equations
interpolating and extrapolating
solving problems
[CN, PS, R, T, V]
A01.01 Identify and describe the characteristics of a linear relation represented in a graph, table of values, number pattern, or equation.
A01.02 Sort a set of graphs, tables of values, number patterns, and/or equations into linear and nonlinear relations.
A01.03 Write an equation for a given context, including direct or partial variation.
A01.04 Create a table of values for a given equation of a linear relation.
A01.05 Sketch the graph for a given table of values.
A01.06 Explain why the points should or should not be connected on the graph for a context.
A01.07 Create, with or without technology, a graph to represent a data set, including scatterplots.
A01.08 Describe the trends in the graph of a data set, including scatterplots.
A01.09 Sort a set of scatterplots according to the trends represented (linear, non-linear, or no trend).
A01.10 Solve a contextual problem that requires interpolation or extrapolation of information.
A01.11 Relate slope and rate of change to linear relations.
A01.12 Match given contexts with their corresponding graphs, and explain the reasoning.
A01.13 Solve a contextual problem that involves the application of a formula for a linear relation.
Additional Resources and Activities for A01 (linear relations):
Visual Patterns - A collection of images each showing the first three terms. Ask students to: draw the next term in the pattern, describe the pattern with words and an equation, and determine the size of term 43 in pattern.
Toothpicks 3-Act Task - A pattern using toothpicks. How many level do you think the pattern will get to before he runs out?
Polygraph: Lines Desmos Activity - One student picks a line and answers questions and the other student asks yes or no questions to try to determine which line was chosen.
Turtle Time Trials Desmos Activity - In this lesson, students explore connections among different representations of proportional relationships, with a glimpse at non-proportional relationships. The lesson centers around a race between turtles of different constant speeds. After encountering the context with an animation, students analyze and create other representations of the scenario: number lines, graphs, tables, and equations.
Charge! - One evening, with his phone battery nearly depleted, Michael Fenton plugged in and took a series of screenshots to track the percent battery charge (as a function of time). From there, students should have enough information to create a linear model for extrapolation. Some surprising results ensue!
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.
Fill 'er Up! - Look at the relationship between the estimated range on a car and the actual distance travelled on the odometer. How do they compare?
Introducing Linear Equations Barbie Bungee Activity - Have students create a Barbie Bungee Company and determine the number of rubber bands needed for a really exciting Barbie bungee.
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.