EngageNY
Describing the Center of a Distribution Using the Mean
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
EngageNY
Grade 5 Math Module 1, Topic D, Lesson 9
Introduces addition of decimals by using unit notation to represent the problem. Pupils use a place value chart to decompose the numbers and then add before connecting to the standard algorithm.
College of William and Mary
Decimal Operations Using Base 10 Blocks
Let's get this block party started and learn about decimals! Here are four main lessons that teach the operations with decimals while using base 10 blocks to provide a hands-on learning approach. Supplemental worksheets and other...
Curriculum Corner
Menu Math
Getting a meal, side dish, drink, and dessert can be delicious—but it can be expensive too! Practice addition and subtraction with money in a lesson that focuses on a sample menu, complete with task cards and word problems.
Partnership for Educating Colorado Students
Mayan Mathematics and Architecture
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
EngageNY
The Volume Formula of a Pyramid and Cone
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from previous...
Laura Candler
Fishbowl Multiplication
Transition young mathematicians from using repeated addition to multiplication with this fun, hands-on activity. Using manipulatives and the included game board, students work in pairs modeling repeated addition problems before...
Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The last day of...
National Security Agency
Systems of Equations and Inequalities
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual representations, and...
Shodor Education Foundation
Measures
Take a look at data from a statistical lens. An interactive allows pupils to enter data set, labeling the data including the units used. Manipulating the applet, learners select the statistics to calculate that include total, mean,...
Virginia Department of Education
Modeling Division of Fractions
Provide a meaningful context for learning about the division of fractions with this upper-elementary math instructional activity. Presented with a simple, real-world problem, young mathematicians work in small groups to develop visual...
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...
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
Curated OER
Money Math
Is there a better, and more motivating, math manipulative than money? Kids love to use it, and it's a great teaching tool. Here, there are three good activities using coins. Learners create patterns, sort change, and have a...
Rational Number Project
Initial Fraction Ideas Lesson 9 Overview
Visual models support young mathematicians with exploring equivalent fractions. Starting with a quick warm-up problem, children go on to work through a series of guiding practice problems before working with a partner identifying and...
EduGAINs
Ratio and Proportion
Do these items have the same ratio? Through a learning contract, pupils master proportions by practicing proportions via word problems, graphs, and with manipulatives. An exit ticket checks for understanding at the end of the...
Curated OER
Seven Circles II
Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute these...
EngageNY
Percent Increase and Decrease
Increase the percent of pupils that are fluent in solving change problems with an activity that asks class members to look at problems that involve either increases or decreases and to express the change in terms of the percent of the...
Curated OER
Using Proportions to Solve Problems
Skittles and math? Pupils will work as a class to determine how many orange Skittles are in a large bag by using proportions. They will problem solve, estimate, and share their thinking. Then, they will each receive a small bag of...
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...
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
Curated OER
Ten More and Ten Less
Get learners to analyze two-digit numbers based on place value, and use manipulatives to add and subtract both 1 and 10. A place value chart is available, and you can project it during guided practice. Through visualizing numbers,...