Interactive
CK-12 Foundation

Patterns and Expressions: Cookie Jars

For Students 6th - 9th Standards
It's okay to get caught with your hand in a virtual cookie jar. Pupils use an interactive to drag cookies from two cookie jars onto a plate. They investigate how an expression representing the number of remaining cookies changes as users...
Workbook
National Security Agency

Equations and Expressions

For Teachers 5th - 6th Standards
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives,  real-world applications, and problem...
Worksheet
Curated OER

Patterns and Algebra - Modeling

For Students 7th - 9th Standards
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
Worksheet
Waterloo Mathematics

Grade 7 Patterning and Algebra: Algebraic Expressions

For Students 6th - 8th Standards
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
Lesson Plan
Curated OER

Patterns and Algebraic Expressions

For Teachers 5th - 8th
Scholars will solve problems, create patterns, and write algebraic expressions. In addition, they will learn how to represent a number with a variable.
Assessment
Mathematics Assessment Project

Sidewalk Patterns

For Students 9th - 11th Standards
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
Activity
Education Development Center

Writing Numerical Expressions—Hexagon Tables

For Students 5th - 7th Standards
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 7

For Students 6th - 9th Standards
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Lesson Plan
Mathematics Assessment Project

Generating Polynomials from Patterns

For Teachers 9th - 12th Standards
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
Unit Plan
National Security Agency

Growing Patterns: Practical Pattern Problems

For Teachers 4th - 5th Standards
Your learners explore growing patterns by describing, extending, creating, and evaluating practical pattern problems in this three-day collaborative unit. Beginning with concrete patterns and function tables to extend and...
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
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.
Lesson Plan
Willow Tree

Patterns - Numbers, Shapes, etc.

For Students 8th - 11th Standards
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...
Lesson Plan
Curated OER

Vegetable Print Patterns

For Teachers 2nd
Create a unique print using vegetable stencils and tempera paints applied to grid like pattern formed from cut pieces of paper. Your students will choose either a warm or a cool color scheme.
Worksheet
Math Stars

Math Stars: A Problem-Solving Newsletter Grade 6

For Students 4th - 7th Standards
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box...
Assessment
Noyce Foundation

Toy Trains

For Teachers 6th - 7th Standards
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...
Lesson Plan
Curated OER

Linking Number Patterns and Algebraic Expressions

For Teachers 5th - 8th
Examine algebra using digital resources! Budding mathematicians will watch Cyberchase episode segments that propose a problem. Using information gathered from the video, they practice recording number patterns in several different ways:...
Lesson Plan
2
2
EngageNY

Algebraic Expressions—The Distributive Property

For Students 9th - 10th Standards
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...
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
EngageNY

Writing and Evaluating Expressions—Multiplication and Division

For Teachers 6th Standards
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
Worksheet
Norm Mitchell

Reteaching Page 2.1 Variables and Expressions

For Students 6th - 8th Standards
The vocabulary for working with variable is expressions is listed at the top of this handout. Prealgebra pros evaluate four expressions when a value is assigned to the variables. Then an explanation is given about how changing the value...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: The Difference of Two Squares

For Teachers 8th Standards
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Assessment
EngageNY

Mid-Module Assessment Task: Grade 6 Math Module 4

For Students 6th Standards
Halfway through the module — the perfect time for an assessment. The 18th installment of a 36-part series is a mid-module assessment. Scholars provide evidence of understanding through various mathematical and contextual problems.
Lesson Plan
EngageNY

Writing and Evaluating Expressions—Multiplication and Addition

For Teachers 6th Standards
How many people can sit around a table? The 22nd part in a series of 36 continues the work on writing and evaluating expressions to include expressions with two operations. Pupils use models to determine an expression for the number of...
Assessment
Inside Mathematics

Hexagons

For Teachers 9th - 12th Standards
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.