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.
G03 Students will be expected to demonstrate an understanding of transformations on a 2-D shape or a 3-D object, including translations, rotations, reflections, and dilations. [C, CN, R, T, V]
G03.01 Identify a single transformation that was performed, given the original 2-D shape or 3-D object and its image.
G03.02 Draw the image of a 2-D shape that results from a given single transformation.
G03.03 Draw the image of a 2-D shape that results from a given combination of successive transformations.
G03.04 Create, analyze, and describe designs, using translations, rotations, and reflections in all four quadrants of a coordinate grid.
G03.05 Identify and describe applications of transformations in construction, industrial, commercial, domestic, and artistic contexts.
G03.06 Explain the relationship between reflections and lines or planes of symmetry.
G03.07 Determine and explain whether a given image is a dilation of another given shape, using the concept of similarity.
G03.08 Draw, with or without technology, a dilation image for a given 2-D shape or 3-D object, and explain how the original 2-D shape or 3-D object and its image are proportional.
G03.09 Solve a contextual problem that involves transformations.
Additional Resources and Activities for G03 (transformations):
Transformers Desmos Activity - In this lesson, students explore transformations of plane figures and describe these movements in everyday language using words like "slide," "shift," "turn," "spin," "flip," and "mirror." Students are not expected to use formal math vocabulary yet. This lesson provides both the intellectual need for agreeing upon common language and the chance for students to experiment with different ways of describing some transformations in the plane.
Creating Pentacubes (3D pentominoes) - Challenge your students to find all the different unique ways that 5 linking cubes can be combined. These shapes are called pentacubes. Make sure that each shape you make unique and not a transformation of a shape already made. You could start this activity with 4 cubes for an easier challenge.
Reflections Create a Picture Activity - Students create a picture by reflecting a set of shapes on a page. A self checking activity where students will know by the picture they create if they've completed it correctly. From Dr. Austin Maths. Activity Answers.
Rotations Create a Picture Activity - Students create a picture by reflecting a set of shapes on a page. A self checking activity where students will know by the picture they create if they've completed it correctly. From Dr. Austin Maths. Activity Answers.
Transformation Golf: Rigid Motion Desmos Activity - In this activity, students use their existing understanding of translations, reflections, and rotations to complete a round of transformation golf. For each challenge, their task is the same: Use one or more transformations to transform the pre-image onto the image. We recommend you solve the challenges yourself before assigning this activity.
Transformation Golf: Non-rigid Motion Desmos Activity - In this activity, students use their existing understanding of translations, reflections, rotations, and dilations to complete a round of transformation golf. For each challenge, their task is the same: Use one or more transformations to transform the pre-image onto the image. We recommend you solve the challenges yourself before assigning this activity.
Dilation of a polygon - Change the center point, and the scale factor, to see a dilated image of the original object.
Unit 6 Cumulative Review
Representing and Combining Transformations from Mathematics Assessment Project - This lesson unit is intended to help you assess how well students are able to: Recognize and visualize transformations of 2D shapes as well as translate, reflect and rotate shapes, and combine these transformations. The pdf lesson for this activity.