Virginia Department of Education
Relationships Round Robin
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.
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
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...
EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Curated OER
Numeracy Starters
If you like to start each day with a new math challenge or warm-up, this resource is a must have. It includes 36 slides, each containing a different math challenge that stimulates algebraic reasoning, problem solving, and basic math...
Curated OER
Finding Patterns and Graphing Functions
Students investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Students graph their results and determine if the...
Curated OER
Tukutuku Patterns
Students complete a series of lessons involving Tukutuku patterns, their rotations and area formulae. They determine the algebraic formulae for sequences. They use images as they work through the lessons to find the number of crosses in...
Curated OER
Introduction to Algebraic Thinking
In this introduction to algebraic thinking, learners perform given calculations. They draw a sequence of pictures to explain the equation. This five page worksheet contains six multi-step problems.
Curated OER
Tile Patterns that Grow
Students explore how a pattern built with square tiles grows and describe the change from stage to stage. They predict later stages of a tile design sequence and create math equations related to the growth of tile designs.
Curated OER
The Sequences Problem
In this Algebra I/Geometry/Algebra II worksheet, students determine what term is missing in the two given sequences. The one page worksheet has two problems with the solutions.
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Noyce Foundation
Toy Trains
Scholars identify and continue the numerical pattern for the number of wheels on a train. Using the established pattern and its inverse, they determine whether a number of wheels is possible. Pupils finish...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Curated OER
Recognizing Patterns
Students explore the concept of patterns. In this patterns lesson, students use applets to manipulate tessellations. Students predict the next number in a sequence by recognizing patterns.
Curated OER
2, 4, 6, 8 . . .What Do We Appreciate-Patterns, Patterns, Patterns
Students recognize patterns in a numerical sequence, create new patterns and predict outcomes to established sequences.
Curated OER
Patterns and Sequences
Ninth graders examine sequential number patterns and the Fibonacci sequence. Given number patterns, they determine the next number in a sequence. Students develop their own number patterns and exchange them with another to be solved.
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
I Spy a Pattern-Kindergarten
Students copy, create, describe, and extend patterns with objects. They explore a variety of patterns through the use of manipulatives, sound, rhythms, songs and movement. Cooperative processes are used to encourage partner discussion.
Curated OER
Introduction to Arithmetic and Geometric Sequences
Students examine the concept of sequences. Students create a sequence using varied starting numbers, multipliers, and add on values. Students practice determining the starting values to use in order to produce a desired sequence.
Curated OER
Patterns, Relations, and Functions
Students investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This instructional activity helps to develop the skill of number sense.
Curated OER
Fibonacci Sequences Icebreaker
Students explore Fibonacci sequences. In this math lesson, students identify the relationship between two numbers. Students use Fibonacci sequences to create algebraic equations.
Curated OER
Fun with Patterns
Students identify, extend and create patterns using various types of manipulatives and then work a pattern game in the computer lab to reinforce what was learned.
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
Finding Patterns in Fractals
Students discover patterns and sequences. They use a website to explore patterns and fractals. Students share their discovery of fractals and their patterns with the class. They develop a list of patterns used in everyday life.