Extended Mathematics 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.
M01 Students will be expected to solve problems that involve the application of rates.
M01.01 Interpret rates in a given context, such as the arts, commerce, the environment, medicine, or recreation.
M01.02 Solve a rate problem that requires the isolation of a variable.
M01.03 Determine and compare rates and unit rates.
M01.04 Make and justify a decision using rates.
M01.05 Represent a given rate pictorially.
M01.06 Draw a graph to represent a rate.
M01.07 Explain, using examples, the relationship between the slope of a graph and a rate.
M01.08 Describe a context for a given rate or unit rate.
M01.09 Identify and explain factors that influence a rate in a given context.
M01.10 Solve a contextual problem that involves rates or unit rates.
M02 Students will be expected to solve problems that involve scale diagrams, using proportional reasoning.
M02.01 Explain, using examples, how scale diagrams are used to model a 2-D shape or a 3-D object.
M02.02 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation.
M02.03 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model.
M02.04 Draw, with or without technology, a scale diagram of a given 2-D shape according to a specified scale factor (enlargement or reduction).
M02.05 Solve a contextual problem that involves scale diagrams.
M03 Students will be expected to demonstrate an understanding of the relationships among scale factors, areas, surface areas, and volumes of similar 2-D shapes and 3-D objects.
M03.01 Determine the area of a 2-D shape, given the scale diagram, and justify the reasonableness of the result.
M03.02 Determine the surface area and volume of a 3-D object, given the scale diagram, and justify the reasonableness of the result.
M03.03 Explain, using examples, the effect of a change in the scale factor on the area of a 2-D shape.
M03.04 Explain, using examples, the effect of a change in the scale factor on the surface area of a 3-D object.
M03.05 Explain, using examples, the effect of a change in the scale factor on the volume of a 3-D object.
M03.06 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object.
M03.07 Solve a spatial problem that requires the manipulation of formulas.
M03.08 Solve a contextual problem that involves the relationships among scale factors, areas, and volumes.
Additional Resources and Activities for M01 (rates):
Note: M01 has been removed from Extended Mathematics 11 Curriculum.
Additional Resources and Activities for M02 and M03 (scale):
How Big is the Vehicle That Uses Those Tires? - You are driving on the freeway when you see a large truck carrying these enormous tires. Use estimation and your understanding of scale to determine size.
How Much Bigger Should they Make Zoolander's School? - Watch a clip from the movie Zoolander and determine how many times bigger Zoolander's school should actually be.
Photographs Task from MAP Assessment Tasks - In this task, you need to figure out how to fit three different-sized photographs on a single sheet.
True Scale Weight and Speed of a 1:10 Scale RC Car Model - When we hear 1/10 scale most of us automatically assume that it means everything is a “tenth” of the original – meaning weight, length, height, speed etc.This is not correct however.
Transport Jacques Auger Mini Kenworth Tanker Truck - Amazing 1/2 scale version of a tanker truck. I especially love the drag race between the scale version and the actual size truck! Have students predict which truck will win before playing the video.
Unit 5 Cumulative Review
EECD 14 Measurement Project - An activity shared by EECD to allow students to demonstrated their understanding of outcomes M01, M02 and M03.