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...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: Table Tiles

For Teachers 9th - 12th Standards
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same...
Lesson Plan
Curated OER

Exploring Tessellations

For Teachers 5th
Fifth graders examine how to make tessellations. In this tessellation lesson, 5th graders review the meaning of the word "polygon" while the teacher shows them various examples. They practice making tiling patterns or tessellation's with...
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...
Lesson Plan
Curated OER

Patterns

For Teachers 8th - 10th
Students identify patterns in equations. In this algebra lesson plan, students write equations of problems with recurring patterns. They relate and model real life situation using functions.
Lesson Plan
Curated OER

Patterns

For Teachers 4th
Fourth graders investigate patterns and sequences.  In this patterns and sequences lesson, 4th graders use a hundreds chart to build recurring patterns.  Students skip count by threes and fives on a hundreds chart by coloring...
Lesson Plan
Curated OER

Symmetries in Quadrilateral Tilings

For Teachers 7th - 8th
Students analyze symmetries of quadrilateral tilings and discover how various types of symmetries, used alone or in combination, can generate the same pattern in more than one way.
Lesson Plan
Curated OER

Repeating Patterns

For Teachers K - 2nd
Students explore growth patterns by using manipulatives such as pattern blocks, investigate growth pattern of pattern, record growth in T-chart, describe how pattern is growing, and predict number of blocks needed to extend pattern.
Lesson Plan
Curated OER

Try Tessellation

For Teachers 5th - 7th
Most middle schoolers probably feel that quilting is at best an activity left to their grandmothers. This instructional activity uses the Zome modeling system to get them to realize how shapes in quilting are really tessellations and...
Lesson Plan
Curated OER

Tilings with Multiple Symmetries

For Teachers 7th - 8th
Students explore how some tilings can display rotational and/or reflection symmetry in addition to translational symmetry. Students demonstrate how these tilings can be generated using either one of the symmetry concepts and Zome System...
Lesson Plan
Curated OER

Patterns and Functions

For Teachers 7th - 9th
Students investigate patterns and functions. In this algebra instructional activity, students examine the repetition of integers and objects. They create formulas for the repetition and identify them as function using equations.
Lesson Plan
Curated OER

Grade 3: What Can I Make with 30 Centimeters?

For Teachers 3rd
Third graders create polygons with perimeters of 30 centimeters, use the centimeter grid paper to determine the area of each shape, and organize the shapes to make generalizations from the patterns they see.
Lesson Plan
Curated OER

The Yo-Yo Problem: Solving Linear Equations

For Teachers 8th - 9th
Students write the algebraic equation to determine the number of weeks money must be saved to purchase a yo-yo. In this algebra lesson, students create a pattern of one penny surrounded by six pennies. They continue the pattern and...
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
Curated OER

Let's Tesselate

For Teachers 3rd - 4th
Students investigate the geometrical concepts of translation, reflection, and rotation. They make different observations looking for the concepts that are displayed in classroom items like floor tiles, carpet designs, and visuals hung in...
Lesson Plan
Curated OER

Tessellations

For Teachers 9th - 10th
Young scholars create tessellations. In this geometry lesson, students use polygons to create different patterns by rotation. They identify the reasons for polygons to create the type of tessellation it does.
Lesson Plan
Pennsylvania Department of Education

Tetrominoes and Translations

For Teachers 7th - 9th
Students explore geometry by participating in a pattern identification activity. In this tetrominoes lesson, students define the characteristics of congruent and symmetrical shapes. Students practice translating shapes across quadrants...
Lesson Plan
Curated OER

Is the System Fair?

For Teachers 8th - 10th
Young scholars investigate shapes and patterns. In this algebra lesson, students move from concrete to abstract understanding of shapes and concepts. They use variable to identify the unknown.
Lesson Plan
Curated OER

Using CAS and algebra tiles with Expanding and factoring trinomials

For Teachers 9th
Ninth graders investigate multiplication of binomials and factoring of trinomials.  In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Lesson Plan
Curated OER

Frieze Design in Indigenous Art

For Teachers 10th - 12th
Students describe Frieze designs using the work of indigenous people.  In this math lesson plan, students create 7 frieze designs using different patterns.  They create one row of repeated art and repeat this 7 times...
Lesson Plan
Curated OER

The Window Problem

For Teachers 9th - 10th
Young scholars identify patterns and compute formulas to solve the problems. In this algebra lesson, students come up with a rule given a pattern, and analyze the relationship between data and graphs.
Lesson Plan
Curated OER

Math Hunt

For Teachers 8th - 10th
Go on a scavenger hunt around your school to find evidence of math. Investigate different areas of your school for patterns, fractions, and different geometric shapes. Finally, create a spreadsheet and plot the data you've collected.
Lesson Plan
Curated OER

Stackers Game for Word Fluency

For Teachers K - 2nd
Explore words by building and decoding three-letter words. Real or nonsense words can be formed with the alphabet tiles. Practice fluency and blending sounds with CVC patterns.
Lesson Plan
Curated OER

Tessellations

For Teachers 5th - 8th
Students identify and construct figures that tessellate. They investigate which regular polygons tessellate and how to modify them to make other tessellating figures. Students explore how naturally occurring tessellations have been...