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...
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
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...
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
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...
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 learning exercise includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Assessment
Inside Mathematics

Patterns in Prague

For Teachers 8th Standards
Designers in Prague are not diagonally challenged. The mini-assessment provides a complex pattern made from blocks. Individuals use the pattern to find the area and perimeter of the design. To find the perimeter, they use the Pythagorean...
Assessment
Inside Mathematics

Conference Tables

For Teachers 9th - 12th Standards
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...
Assessment
Balanced Assessment

Pick a Pattern or Two

For Students 6th - 8th
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Lesson Plan
Virginia Department of Education

Equation Vocabulary

For Teachers 6th Standards
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
Activity
Curated OER

K-5 Mathematics Module: Number and Number Sense

For Students K - 5th Standards
Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency...
Lesson Plan
Willow Tree

Direct and Inverse Variations

For Students 7th - 10th Standards
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
Lesson Plan
Virginia Department of Education

Arithmetic and Geometric Sequences

For Teachers 7th
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
Lesson Plan
EngageNY

Substituting to Evaluate Addition and Subtraction Expressions

For Teachers 6th Standards
Substitute this resource for what you used to use. Learners identify patterns in data tables and write addition and subtraction expressions to represent relationships. Substitution allows them to solve problems in context in the 20th...
Assessment
Inside Mathematics

Squares and Circles

For Teachers 8th Standards
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Worksheet
Curated OER

Number Patterns and Sequences: Mental Tests

For Students 4th - 5th
In this pattern and sequence worksheet, learners continue sequences as fast as possible, given the next number in a sequence defined by a pattern, and answer multiple choice questions.