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.
S01 Students will be expected to solve problems that involve measures of central tendency, including mean, median, and mode.
including mean, median, and mode [C, CN, PS, R]
S01.01 Explain, using examples, the advantages and disadvantages of each measure of central tendency.
S01.02 Determine the mean, median, and mode for a set of data.
S01.03 Identify and correct errors in a calculation of a measure of central tendency.
S01.04 Identify the outlier(s) in a set of data.
S01.05 Explain the effect of outliers on mean, median, and mode.
S01.06 Calculate the trimmed mean for a set of data, and justify the removal of the outliers.
S01.07 Explain, using examples such as course marks, why some data in a set would be given a greater weighting in determining the mean.
S01.08 Calculate the mean of a set of numbers after allowing the data to have different weightings (weighted mean).
S01.09 Explain, using examples from print and other media, how measures of central tendency and outliers are used to provide different interpretations of data.
S01.10 Solve a contextual problem that involves measures of central tendency.
S02 Students will be expected to analyze and describe percentiles. [C, CN, PS, R]
S02.01 Explain, using examples, percentile ranks in a context.
S02.02 Explain decisions based on a given percentile rank.
S02.03 Explain, using examples, the difference between percent and percentile rank. S02.04 Explain the relationship between median and percentile.
S02.05 Solve a contextual problem that involves percentiles.
Additional Resources and Activities for S01 (measures of central tendency):
Note: Indicators S01.06, S01.07 and S01.08 (trimmed and weighted mean) have been removed from Mathematics at Work 12 Curriculum.
Statistics Warm-up Questions - A Google slides with several warm-ups that could be used to start class during this unit.
Make it Balance Desmos Activity - Students will place bears on a beam to develop a sense of the mean as a balance point. They begin by guessing and checking. Then they'll develop strategies for determining the balance point with more precision (e.g., by observing that the balance point is where the sum of the distances to the left of the mean is equal to the sum of the distances to the right of the mean.)
The Mean Problem from NRICH - here are four unknown numbers. The mean of the first two numbers is 4. The mean of the first three numbers is 9. The mean of all four numbers is 15. If one of the four numbers is 2, what are the others?
Strength in Numbers Desmos Activity - In this activity, students complete three rounds of estimation challenges. After each initial estimate, they view a dot plot of their classmates' responses and decide whether (and how) to revise their estimate. Common strategies include "moving toward the middle" (i.e., median).
Additional Resources and Activities for S02 (percentiles):
Note: Outcome S02 has been removed from Mathematics at Work 12 Curriculum.