Curated OER
Investigation-How Many Toothpicks?
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Curated OER
Design Explorations: Frieze Patterns
Middle schoolers will explore frieze patterns. A frieze pattern is a mathematical concept to classify designs on two-dimensional surfaces, which are repetitive in one direction, based on the symmetries in the pattern. They will explore...
EngageNY
Modeling from a Sequence
Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...
Curated OER
Fair Shares and Geometric Spirals
Young scholars tackle the problem of how to divide a triangular piece of land fairly among four people. They decide whether their method of fair division always works or if it only works in special cases.
Concord Consortium
Boards IV
Build a connection between algebraic sequences and spreadsheets. Learners examine a specific folding pattern and convert the pattern into a spreadsheet. The goal of the spreadsheet is to produce a sequence of a specific pattern modeled...
Concord Consortium
Boards III
Learn to visualize mathematical patterns as a folded pattern. Beginning with a visual display, the task encourages pupils to view sequences as a folded table. The pattern of the table then becomes a formula in a spreadsheet that...
Curated OER
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Annenberg Foundation
Geometry 3D Shapes: Euler's Theorem
How do you get a theorem named after you? Euler knows what it takes! The third lesson of five asks pupils to use an interactive activity to compare the faces, vertices, and edges of seven different three-dimensional solids. They use...
CK-12 Foundation
Visual Patterns: Building the Queen's Tower
A resource fit for a queen. Scholars recognize and continue a pattern in towers people are building for a queen. They write and use an algebraic expression for the number of tiles in the towers.
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
Mathematics Assessment Project
Table Tiling
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...
Curated OER
Patterns and Sequences
Sixth graders explore pattern recognition and sequencing. They create arithmetic and geometric sequences with colors, shapes, and numbers. Students write expressions of arithmetic sequences and geometric sequences to find the nth term.
Curated OER
Problem Solving Patterns
In this problem solving patterns worksheet, 6th graders solve and complete 2 various types of problems. First, they identify what the 4n represents in each block pattern illustrated. Then, students determine the number of arrows added to...
Curated OER
Identifying Patterns
Students investigate the elements of a pattern. In this geometry lesson, students identify different shapes in a pattern and discover which shapes are missing in order to extend it. Students create their own patterns using...
Curated OER
Investigation: Area of Geometric Shapes
Fourth graders explore geometry by utilizing pattern blocks. In this pattern lesson plan, 4th graders analyze two separate pattern block shapes and discuss which one is bigger and smaller. Students collaborate in small groups to create...
Curated OER
Extending Geometric and Numeric Patterns
Young scholars study patterns. They construct growing patterns using pattern blocks and isosceles right triangles. They verbally describe the patterns and state the rule that describes the relationship involving the number of pattern...
Curated OER
Geometric Designs in the Game of "Life"
Students play a game to discover simple patterns. In this geometric designs lesson, students use a game board and counters to represent survivals, deaths, and births. They explore simple patterns for several generations.
Curated OER
Our Geometric World
Third graders explore the attributes of polygons. In this geometric shapes lesson, 3rd graders review quadrilaterals, squares, rectangles, triangles, pentagons, hexagons, and octagons in order to create hanging polygons. Students then...
Curated OER
Shapes and Patterns- Kaleidoscope
Third graders create art using shapes. In this shapes and patterns lesson, 3rd graders explore multiple ways of combining shapes to create new objects and art.
Pennsylvania Department of Education
Extending Pattern Understandings
Students use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
Curated OER
Pattern Block Polygons
Sixth graders create polygons. In this shapes lesson, 6th graders explore prefixes such as oct, tri, quad, pent, etc. and share their findings. Students use pattern blocks to create two different polygons and label them.
Curated OER
Perfect Patterns- Completing Patterns Worksheet
In this completing patterns worksheet, learners complete patterns with geometric shapes and the numbers 1-10. They color the geometric shapes with at repeating patterns.
Curated OER
Math Worksheet: Patterns Again
For this math patterns worksheet, learners see 10 math patterns with repeating geometric shapes. They choose the shape that will come next in the pattern from 3 choices.
Curated OER
Sequences and Series: Geometric Sequence
In this geometric sequence worksheet, students find the next two terms of a geometric sequence. They identify the nth term and complete a sequence statement. Next, they find the geometric means of a given sequence. This one-page...
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