Curated OER
Identify Patterns
To complete these number patterns mathematicians must determine by what number each is constantly increasing. However, this isn't your typical skip counting; scholars count by numbers like 18, 60, and even 101 to fill in the missing...
Curated OER
Patterns and Algebra - Modeling
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...
Virginia Department of Education
Equation Vocabulary
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.
Balanced Assessment
Pick a Pattern or Two
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...
National Security Agency
Equations and Expressions
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 solving, learners write...
Utah Education Network (UEN)
Linear Relationships: Tables, Equations, and Graphs
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
Curated OER
Number Patterns/ Odd and Even #2
What's odd? What's even? And what is the pattern? Learners explore addition problems to answer this question, deciding if the answer to each equation is odd or even. They then draw a two-column table to illustrate the outcomes of the...
Curated OER
Solving Polynomial Equations
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
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
Patterns
Students identify patterns in equations. In this algebra lesson, students write equations of problems with recurring patterns. They relate and model real life situation using functions.
Curated OER
Writing Equations From Patterns
For this writing equations worksheet, 9th graders solve and complete 6 different problems that include various patterns. First, they read and identify relations of equations and the difference between successive values of x and y. Then,...
Curated OER
Equations in the Park
Students explore algebraic concepts using real life situations. For this equations lesson, students develop strategies to solve missing number problems. Students participate in a board game based on algebraic equations.
Curated OER
Solving Using Linear Equations
Seventh graders explore linear equations. They observe the relationship between linear equations an patterns. Students make decisions using information given in graphs to solve linear equations. They perform a toothpick activity to...
Curated OER
Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II lesson, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The lesson is designed as...
National Security Agency
A Balancing Act: Solving Multi-Step Equations
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson comes with about 20 pages of worksheets, warm-ups,...
Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. For this geometric patterns lesson plan, students identify patterns and extend them.
Curated OER
Exploring Expressions
Examine parts of an expression in this algebra instructional activity. Ninth graders identify the properties of the coefficient and their behavior to the graph. They graph the equation on a TI to see their results.
Curated OER
Linear Systems: The Determinant
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Curated OER
Profitable Soda Stand
Am I making any money? Help learners determine if their fictitious soda stand is turning a profit. They graph linear equations using the slope and y-intercept and identify the best price to use to sell soda. They identify the domain and...
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
Curated OER
Identifying Terms, Factors, and Coefficients
What are terms, factors, and coefficients? This slideshow provides definitions and examples of various parts of algebraic expressions, and provides guided practice problems in writing and identifying parts of algebraic expressions for...
CK-12 Foundation
Function Rules for Input-Output Tables: Soda Sugar Function Table
Examine the relationship between the input and output variables in a table of values. As learners build an input-output table using online manipulatives, they begin to identify patterns. They answer questions about these patterns and...
Curated OER
Matchstick Patterns
Third graders investigate patterns made using matchsticks and tiles, so it involves them in active studying. The relation between the number of the term of a pattern and the number of matchsticks (tiles) that that tem has is explored...