Subject

Resource Type

File Type

Zip

Standards

CCSSHSA-REI.C.6

CCSSHSA-REI.C.5

CCSSHSA-CED.A.3

CCSSHSA-CED.A.2

CCSSHSA-CED.A.1

- Product Description
- Standards

3 different mosaic sizes are included, to accommodate different class sizes. (12, 16, and 24 sheet mosaics are included.)

Get this product as part of a MASSIVE linear systems bundle!

Students solve a rich variety real-world and mathematical problems leading to two linear equations in two variables. Problems involve motion, mixtures, investments, money and value, etc.

This task lends itself perfectly to small-groups, since each worksheet is different but structurally similar. Expect to overhear some rich mathematical dialog taking place! This is a challenging assignment, but the collaborative reward will drive them to the end goal.

1. Calculate

2. Colour

3. Cut

4. Combine

Leave the picture a secret or share it for motivation… it’s your call!

• Complete class sets of worksheets for the 12, 16, and 24 sheet mosaics

• Exemplar Solutions for every type of problem contained on students' worksheets. Post this, or use it for examples during your lesson!

• TEACHING TIPS page for smooth implementation of this product

• Complete answer keys for all worksheets

• Completed coloured mosaic guide with coordinates to help you assemble the finished product

• Each worksheet contains twelve assorted linear systems word problems

• Each worksheet contain a randomized answer list at the bottom, allowing students to check their answers before colouring.

• All problems have (or round to) integer solutions for the two variables, although percentages, decimals or fractions may be involved in the process of solving.

All my “Colouring by…” worksheets use standard pencil-crayon colours found in the Crayola 24 pack. For best results, use the exact colour name match, and have all student use the same colouring medium. Perhaps a class set of pencil crayons would be a fun math department investment!

CCSS:

•8.EE.C.8.c “Solve real-world and mathematical problems leading to two linear equations in two variables.”

• Also: 8.EE.C.8, 8.EE.C.8.a, HSA.REI.C.6, HSA.REI.C.5, High School: Modeling

Ontario Curriculum – MPM2D (Grade 10 Academic)

• Analytic Geometry 1.1 “Solve systems of two linear equations involving two variables, using the algebraic method of substitution or elimination”

• Analytic Geometry 1.2 “Solve problems that arise from realistic situations described in words or represented by linear systems of two equations involving two variables, by choosing an appropriate algebraic or graphical method”

Feedback, suggestions, and frontline stories are always welcomed!

~CalfordMath (CalfordMath@live.ca)

Log in to see state-specific standards (only available in the US).

CCSSHSA-REI.C.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

CCSSHSA-REI.C.5

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

CCSSHSA-CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

CCSSHSA-CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

CCSSHSA-CED.A.1

Create equations and inequalities in one variable and use them to solve problems.

Total Pages

120 pages

Answer Key

Included

Teaching Duration

2 days

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