Balanced Assessment
Transformation I
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate...
Balanced Assessment
Transformation II
Develop a solid understanding of the manipulation of expressions to produce equivalent expressions. Given an expression, pupils rearrange it to create a new one. Their new functions must match the structure of the model expressions.
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
CK-12 Foundation
Logarithms: Logarithm Triangle
Study logarithmic properties using a triangle. A clever manipulative shows how a triangle can represent the three parts of a logarithmic or exponential equation. Pupils review the concept and then answer guiding questions to further...
CK-12 Foundation
Zero Product Principle: Mysterious Parabolas
Be a hero, not a zero! Help your classes understand how to solve quadratic equations with the zero product property using an animated simulation. Using the controls, scholars manipulate the zeros and watch as the function and its factors...
CK-12 Foundation
Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
CK-12 Foundation
Midpoint and Segment Bisectors: Midpoint Map
Discover how to find a midpoint with a conceptual exploration. Scholars manipulate a point to determine the location of a midpoint on a straight line distance between two locations. Later questions extend to determine the...
CK-12 Foundation
Angle Measurement: Adding Angles
Build angles from angles. Using the Angle Addition Postulate, learners find the measures of unknown angles. The interactive simulation shows a visual representation of the postulate and allows individuals to manipulate the angles and...
CK-12 Foundation
Rational Numbers in Applications: Pizza with Friends
Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.
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
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...
CK-12 Foundation
Function Rules for Input-Output Tables: Tickets at an Arcade
This is the ticket to learning about function rules! Using online manipulatives, scholars build a table of values and then answer questions about the related function. They examine the relationship between the input and output values and...
CK-12 Foundation
Inverse Functions
Provide a graphical view of inverses. Pupils manipulate points on a line and see the relationship of the graph with the graph of its inverse. Using the relationship between the graphs, scholars respond to questions concerning inverses...
101 Questions
Pyramid of Pennies
Go big or go home! Learners watch a video rendition of the creation of a penny pyramid. Their task is to determine the number of pennies in the pyramid. The lesson encourages multiple methods, including function building or volume formulas.
101 Questions
Coin Carpet
Here's a new meaning to the expression throwing away money...a carpet of coins! An intriguing lesson requires calculations to determine the coin that would be the cheapest option, but it's a little tricky. The cost of the coin...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Radford University
How Much is in There? A Polygon Investigation
Try to find the triangles in various polygons. An investigation has learners develop a formula for the sum of the measures of the interior angles of a polygon. They use manipulatives to partition each polygon into triangles, then...
Curated OER
Block It: Using a Manipulative to Solve Math Problems
Students practice using visuals to solve math problems. In this math manipulative lesson, students utilize pattern blocks to participate in a class game in which geometric shapes touch other player's pieces. Students gain points based on...
Curated OER
Fractions lesson 1
Students are given an overview of fractions using fractions manipulatives. Students comprehend what numerators and denominators are. They demonstrate a clear comprehension that the size of a fraction depends on the number of parts the...
Curated OER
Problem Solving - Adding Whole Numbers
In order to practice problem-solving skills, pupils work through a series of word problems. They each determine an answer and then share their thinking process with the class. This activity demonstrates that there may be more than one...
Curated OER
Fraction Strips
Get a handle on equivalent fractions through the use of manipulatives. Using area models, sets, and length manipulatives like fraction strips and Cuisenaire rods, the class will gain a deeper understanding of equivalent fractions....
Curated OER
Making a Quilt: Multiplication
Third graders explore their multiplication skills. They will use their problem solving skills to solve an everyday math problem that requires them to multiply numbers. This lesson incorporates the use a video titled "Blossom and Snappy...
Curated OER
Math Match Up!
Help learners solve problems using multiplication and repeated addition. Using counters, learners will be paired up to solve problems. They will go through a series of questions and show models with the counters for the solution. Then...
Pennsylvania Department of Education
Problem Solving with Fractions
Solve story problems using fractions or decimals. Then, determine the reasonableness of answers using estimation.The detailed instructional activity includes essential questions, vocabulary, a materials list, and links to related units.