California Academy of Science
Building Better Buses: Transportation Design Challenges
Scholars learn about a series of three challenges when they design a bus system for a small town. They determine the bus routes and then figure out the best type of fuel to use before considering the cost of going electric. Learners...
University of California
Student Workbook: Algebra and Functions
A smorgasbord of functions, this packet has the basics required for your learners to be successful in the land of early algebra. The packet includes solving equations, graphing, evaluating, simplifying and basically everything else...
Curated OER
Algebra Cheat Sheet
Full of info, this handout provides the rules, properties, and common mistakes found in an algebra course. This cheat sheet is a great resource for those hard-to-remember exponent rules and hyperbola equations, along with everything else...
National Research Center for Career and Technical Education
STEM: Lou-Vee Air Car
A comprehensive lesson on acceleration awaits your physicists and engineers! Two YouTube videos pique their interest, then sample F=ma problems are worked and graphed. The highlight of the lesson is the building of a Lou-Vee air car!...
National Research Center for Career and Technical Education
Finance: Depreciation (Double Declining)
Of particular interest to a group of business and finance pupils, this lesson explores depreciation of automobile values by comparing the double declining balance to the straight line method. Mostly this is done through a slide...
PHET
Area Model Algebra
Expand the pupils knowledge of using area models to algebra. The interactive allows learners to use the same procedure of getting partial products when multiplying multi-digit numbers to multiplying polynomials. Scholars see how the...
PHET
Area Model Multiplication
Develop a solid understanding of multiplication. The interactive provides opportunities for learners to continue building a deep understanding of multiplication. Pupils use the application to find the product of two numbers and find...
CK-12 Foundation
Prime and Composite Numbers
Nine true or false, multiple-choice, and discussion questions make up an interactive designed to reinforce scholars' knowledge of prime and composite numbers. A number chart reveals every prime number through 100.
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target C
Pupils may be able to simplify expressions, but do they understand how to simplify an expression? A PowerPoint presentation gives several examples of Smarter Balanced Assessment items that test learners' understanding of the concept....
Shodor Education Foundation
Whole Number Cruncher
Time to crunch the numbers! Young scholars use an interactive number cruncher to practice operations with whole numbers. They input a number and watch as the number cruncher produces the output and then use the data pairs to determine a...
Shodor Education Foundation
Linear Function Machine
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions
Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Circling C's
Model expression division using online manipulatives. Learners drag C's representing a term into equal groups. Guiding questions help them see their groups as the division of the term.
CK-12 Foundation
Simplify Sums or Differences of Single Variable Expressions: Addition and Subtraction of Like Terms
Investigate the process of combining like terms using an interactive animation. Scholars tackle simplifying expressions by manipulating rectangles that represent the terms. They add and subtract terms to arrive at the result.
CK-12 Foundation
Simplify Variable Expressions Involving Integer Addition
Ensure your classes aren't drowning in expressions. An interactive simulation has scholars change the depth of a fish based on the coefficient of terms. As they add the terms together, the fish bobs up and down until reaching the answer.
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Noyce Foundation
Perfect Pair
What makes number pairs perfect? The resource provides five problems regarding perfect pairs of numbers, the definition of which changes in complexity with each task. Solutions require pupils to apply number sense and operations, as well...
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 3
Pupils work on seven problems that use equations and expressions to solve geometry problems. The questions range from finding equivalent expressions to finding areas and volumes of figures. Learners apply their knowledge of angle...
EngageNY
Collecting Rational Number Like Terms
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
EngageNY
Using the Identity and Inverse to Write Equivalent Expressions
The fifth installment in the series of 28 lessons helps math scholars explore the result of adding opposite numbers and multiplying reciprocals. Through this exploration, they develop a working definition of identity and inverse properties.
EngageNY
Writing Products as Sums and Sums as Products
Create rectangle and area models to help students understand expressions. The third installment in the 28-part series has pupils first represent expressions using rectangular array models. The exercises help scholars understand the...
EngageNY
Generating Equivalent Expressions
Pupils develop expressions to describe the total number of sides on an unknown number of rectangles and triangles. Expressions contain multiplication, addition, and parentheses.
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 3
Lesson 16 in the series of 28 is a mid-module assessment. Learners simplify expressions, write and solve equations, and write and solve inequalities. Most questions begin as word problems adding a critical thinking component to the...
EngageNY
Writing Products as Sums and Sums as Products II
Explain algebraic relationships through an understanding of area and perimeter. Continuing concepts built in the third instructional activity of the series, the fourth installment of 28 asks learners to identify common expressions...