Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
Curated OER
Algebra: Evaluating Expressions Using Tiles
Sixth graders evaluate algebraic expressions. In this introduction to algebra lesson plan, 6th graders use manipulatives (algebra tiles) to solve problems involving one and two variables. Students apply this knowledge to real life...
Curated OER
Fruity Math
Students solve one step linear equations. In this algebra instructional activity, students manipulate their variables and numbers to answer each problem. They make sure the equations stay balanced at all times.
Curated OER
Weigh Out the Algebra
Students solve linear equations. In this algebra lesson, students use manipulative's to see the steps taken when solving linear equations. They solve using addition, subtraction, multiplication and division.
Curated OER
Adding Polynomials with Algebra Tiles
Students practice adding polynomials using algebra tiles. Students view a PowerPoint presentation in which they are introduced to the concept of modeling polynomials using a scaled down version of algebra tiles. Students walk through...
Curated OER
WS 1.0 Math Skills Update
For this math skills worksheet, students find percentages, they convert from ordinary notation to scientific notation, they convert from scientific notation to ordinary notation and they manipulate algebraic expressions.
Curated OER
Associative Property of Addition Worksheet
Here is a set of 16 problems in which the associative property of addition must be employed to solve. Tip: Provide concrete objects or manipulatives to aid struggling learners in understanding the concept.
Noyce Foundation
Granny’s Balloon Trip
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...
BW Walch
Creating Linear Equations in One Variable
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
EngageNY
Proof of the Pythagorean Theorem
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
Noyce Foundation
Tri-Triangles
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance from...
Curated OER
Algebra on the Farm
Learners develop algebraic equations to solve problems involving farm animals. They watch a video, use manipulatives to determine the number of birds and pigs on the farm, and create original problems for their classmates to solve.
Curated OER
Algebra Wizards
Second graders are exposed to algebraic thinking by exploring the concept of a variable. They tell how many years have passed since they've seen a favorite teacher and then examine how they arrived at this number. They write equations.
Curated OER
Algebraic Manipulation
In this algebraic manipulation worksheet, learners examine a given number grid, find the pattern and determine an equation to fit the situation. They calculate the area of given rectangles. Students solve real life problems using given...
Curated OER
Algebraic Manipulation
In this Algebra I worksheet, 9th graders evaluate algebraic expression by substitution. Problems include exponents and parenthesis. The two page worksheet contains thirty problems with answers.
Curated OER
Manipulating Integers
In this algebra worksheet, students manipulate integers to add, subtract, multiply and divide using order of operation. They rewrite word problems and solve for the unknown. There are 24 questions with an answer key.
Curated OER
Count on Me
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
In this solving equations learning exercise, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the...
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
EngageNY
Evaluating Reports Based on Data from a Sample
Statistics can be manipulated to say what you want them to say. Teach your classes to be wise consumers and sort through the bias in those reports. Young statisticians study different statistical reports and analyze them for misleading...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...