Resource Type

File Type

Zip

Standards

CCSS8.EE.C.8c

CCSS8.EE.C.8a

CCSS8.EE.C.8

CCSS8.EE.A.1

- Product Description
- StandardsNEW

2 different mosaic sizes are included, to accommodate different class sizes. (15 and 30 sheet mosaics are included.)

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

◾ Trig Ratios from Triangle Diagrams

◾ Ratio Problems & Numeric Proportions

◾ Volume and Surface Area Application Word Problems

◾ Linear Systems - Equations, and Holiday Themed Application Word Problems

◾ Sine & Cosine Law - Solve for Angle or Side

◾ Linear Equations, 1 & 2 Step, multi-style bundle

◾

• 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.

• Each worksheet contains twelve problems

The first seven problems are given as two equations targeting these methods:

1) solve by graphing

2) solve by elimination

3) solve by graphing

4) solve by elimination

5) solve by substitution

6) mixed type, possibly involving fraction coefficients

7) solve by substitution

The last 5 are Christmas-themed word problems involving a variety of contexts:

• Money and Value (coin mixtures, ticket sales with different prices)

• Motion (distance, speed and time relationships)

• Mixtures (% concentration blends, candy mixtures with $/pound)

• Word Equations (sum and difference of two numbers, written equations in words)

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.

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

• Complete class sets of worksheets for the 15, and 30-sheet mosaics

• Exemplar Solutions for every type of word 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

• Colour image of the completed mosaic with coordinates to help you assemble the finished product

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).

CCSS8.EE.C.8c

Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

CCSS8.EE.C.8a

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

CCSS8.EE.C.8

Analyze and solve pairs of simultaneous linear equations.

CCSS8.EE.A.1

Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × (3⁻⁵) = (3⁻³) = 1/3³ = 1/27.

Total Pages

104 pages

Answer Key

Included

Teaching Duration

2 days

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