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Illustrative Mathematics
Kitchen Floor Tiles
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...
Mathematics Assessment Project
Generalizing Patterns: Table Tiles
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...
Curated OER
Exploring Tessellations
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...
Virginia Department of Education
Growing Patterns and Sequences
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...
Curated OER
Patterns
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.
Curated OER
Patterns
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...
Curated OER
Symmetries in Quadrilateral Tilings
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.
Curated OER
Repeating Patterns
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.
Curated OER
Try Tessellation
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...
Curated OER
Tilings with Multiple Symmetries
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...
Curated OER
Patterns and Functions
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.
Curated OER
Grade 3: What Can I Make with 30 Centimeters?
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.
Curated OER
The Yo-Yo Problem: Solving Linear Equations
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...
Virginia Department of Education
Solving Equations
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...
Curated OER
Let's Tesselate
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...
Curated OER
Tessellations
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.
Pennsylvania Department of Education
Tetrominoes and Translations
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...
Curated OER
Is the System Fair?
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.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
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.
Curated OER
Frieze Design in Indigenous Art
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...
Curated OER
The Window Problem
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.
Curated OER
Math Hunt
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.
Curated OER
Stackers Game for Word Fluency
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.
Curated OER
Tessellations
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...