Lesson Plan
Illustrative Mathematics

Kitchen Floor Tiles

For Teachers 8th - 12th Standards
An interesting way to look at the kitchen floor is to count the number of tiles in the border. Fred starts with four white floor tiles and writes an expression for the number of tiles needed for the colored border. Algebra learners are...
Assessment
Illustrative Mathematics

Red and Blue Tiles

For Students 2nd Standards
Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.
Worksheet
Houghton Mifflin Harcourt

Graphs from Patterns

For Students 5th - 6th Standards
Fifth graders analyze patterns and begin looking at function tables. This is a pertinent preparation for graphing patterns. In fact, consider giving your class a piece of graph paper and then teach them how!
Assessment
Mathematics Assessment Project

Table Tiling

For Students 9th - 11th Standards
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
Lesson Plan
Virginia Department of Education

Growing Patterns and Sequences

For Teachers 6th - 7th Standards
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Assessment
Mathematics Assessment Project

Floor Pattern

For Students 9th - 11th Standards
You'll never look at floor tiles the same again. An assessment task prompts learners to investigate relationships between patterns involving squares and kites to determine angle measurements. They then prove...
Lesson Plan
Virginia Department of Education

Relationships Round Robin

For Teachers 7th
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.
Worksheet
Curated OER

Tiling with Pentominoes

For Students 10th
In this tiling with pentominoes worksheet, 10th graders solve 3 different problems related to tiling with pentominoes. First, they define pentomino as a type of polygon and locate 10 other pentomino shapes in the figure shown at the top....
Worksheet
Curated OER

Tile Teasers

For Students 3rd
In this patterns worksheet, 3rd graders match tiles with the shapes in a larger image. Students copy the tiles into the squares of grid paper to create the specified design.
Worksheet
Curated OER

Using Tiling to Find Area

For Students 3rd - 5th
By splitting rectangles into four equal parts, scholars practice calculating area and determining side length. They begin by determining the area of each rectangle before segmenting it. Then, they use the space provided to split it into...
Lesson Plan
Virginia Department of Education

Solving Equations

For Students 8th Standards
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...
Lesson Plan
PBS

The Yo-Yo Problem

For Teachers 9th - 12th
What do yo-yos and pennies have to do with linear equations? Learn about writing and solving linear equations while considering the Yo-Yo Problem and Penny Pattern Exploration from the High School Math Project. Learners utilize algebra...
Workbook
1
1
University of Utah

Representations of a Line

For Students 8th Standards
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of...
Assessment
Mathematics Assessment Project

Octagon Tile

For Teachers 6th - 8th Standards
A connecting-the-dots activity seems too easy for seventh grade but connecting vertices may prove a challenge. Class members first examine a figure created by drawing squares around the inside of an octagon and connecting the...
Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Worksheet
Math Flix

Countdown Challenge: Equivalent Expressions

For Students 6th - 8th Standards
Young mathematicians solve and complete eight different problems that include writing several equivalent expressions. They determine the number of tiles required to border around a square pool of the given dimensions. This terrific...
Worksheet
Curated OER

Spin a Window!

For Students Pre-K - K
How many windows does this school bus have? If your class is new to counting, this will be a fun way to get them some practice. Cut out and laminate the spinner template and set it up to spin (instructions written out if you need them)....
Worksheet
Curated OER

Unit 1, Worksheet 3, Note Taking in Mathematics

For Students 7th - 8th
In this taking notes worksheet, students write notes on specified topics such as combining like terms, identifying number patterns, basic mathematical operations of integers, and the guess and check strategy. This two-page worksheet...
Worksheet
Curated OER

Family Activity-- Finding Areas of Triangles

For Students 4th - 5th
In this math worksheet, students work at home with a family member to identify triangles and find the areas. Students find 3 triangles in tile patterns, wallpaper, paintings or anywhere in the home and answer 6 questions.
Lesson Plan
EngageNY

Writing and Evaluating Expressions—Multiplication and Addition

For Teachers 6th Standards
How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...
Lesson Plan
National Security Agency

A Balancing Act: Solving Multi-Step Equations

For Teachers 6th - 8th Standards
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson comes with about 20 pages of worksheets, warm-ups,...
Worksheet
Curated OER

Tessellating the Hexagon

For Students 10th
In this tessellating a hexagon activity, 10th graders complete 2 activities in creating a tessellation of a hexagon. They start off with the tessellation by the smallest pattern block and obtain other tessellations by replacing each two...
Organizer
Curated OER

Problem Solving Strategy: Make a Model

For Students 3rd - 5th
In this problem solving strategy instructional activity, students complete a graphic organizer to help solve a problem. Students complete 4 sections: understand, plan, solve and look back. Houghton Mifflin text referenced.