Curated OER
Extending Geometric Patterns
Which square comes next? Each of these sequences is made up of patterned squares in a continuing order. Learners examine more squares to choose which one(s) would correctly continue the pattern. None of these have very complex sequences;...
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 problems.
EngageNY
Arithmetic and Geometric Sequences
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Willow Tree
Patterns - Numbers, Shapes, etc.
Find the pattern is the name of the game! Learners examine different patterns represented by numbers, shapes, and words. They must describe the pattern, predict the result in a given position, and find an equation that represents a...
Curated OER
Patterns Everywhere!
Learners recognize and demonstrate the patterning of numbers and objects in our environment. They create a pattern using geometric shapes and find a missing number in a sequence.
Curated OER
Cheerios Number Patterns
Young scholars, following a provided worksheet, use Cheerios to explore number patterns.
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Curated OER
Hop To It!
Students determine patterns. In this mathematics instructional activity, students act out a skit, play a sequence game, and complete patterns. Students use problems solving skills.
Curated OER
Picking Patterns
In this pattern worksheet, students enumerate the number of objects that comes next in the sequence including triangles, blocks, and circles. There are 6 questions.
Curated OER
Number Patterns
For this sequencing worksheet, students examine a pattern made of circles and squares. They draw the next pattern in the sequence. They tell how many circles will be in the fifth pattern, and how many squares will be in the seventh...
EngageNY
Integer Sequences—Should You Believe in Patterns?
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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
Seeing Dots
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Curated OER
Comparing Arithmetic and Geometric Sequences
In this algebra worksheet, students analyze patterns and identify it as arithmetic, geometric, or neither. There are 30 questions with answers.
Curated OER
Patterns, Relations, and Functions: Geometric Shapes
Young scholars explore patterns involving objects or figures and geometric shapes. They identify the missing shapes in patterns and discuss what would come next in the pattern, analyze patterns using different objects, and complete a...
PBS
Patterns to the Rescue!
Track down the Cyberchase episode that this lesson is associated with. Using a worksheet that is embedded in the plan, learners must find the next two numbers and shapes (a double pattern). Once these have been discovered, pupils try...
Shodor Education Foundation
Sequencer
Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...
EngageNY
Algebraic Expressions—The Distributive Property
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive property, and...
Curated OER
Geometric Sequences Puzzle
In this geometric sequences worksheet, students solve a geometric sequence puzzle. Students fill in the missing terms of various geometric sequences.
Curated OER
Infinite Geometric Series
In this geometric series instructional activity, students examine a given geometric series to determine if the series converges or divergeas. They evaluate and determine the common ratio of a geometric series. This four-page...
CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...