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EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
Curated OER
Place Value of Whole Numbers Through One Million
Third graders construct numbers to the millions place. In this 30-page place value lesson, learners create numbers and evaluate the place value of digits. They explore standard and expanded form of numbers. An incredible resource!
Intensive Intervention
Fractions as Numbers
Your learners will enjoy thoroughly understanding fractions, and you will appreciate the abundant, quality resources in this comprehensive unit that builds toward a complete understanding of the concept of fractions as numbers. Many...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
Curated OER
Comparing Fractions with a Different Whole
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
PBS
Super Bear: Comparing Mass
A super bear is a whole lot of gummy bear. Scholars hone their estimation skills by completing an activity. Given the masses of a mini gummy bear and a regular gummy bear, they must determine the number of each needed to have the same...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 14
Be sure to place value on place value understanding. Young mathematicians learn to divide decimals by whole numbers when compatible numbers are not available. They use place value discs in place value charts, then connect this strategy...
Illustrative Mathematics
Using Benchmarks to Compare Fractions
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 15
Remainders don't need to remain a mystery. The 16th of 18 parts in Grade 5 Math Module 1 continues the study of dividing decimals by a whole number. Scholars see how to rename the remainder to a smaller unit, such as when dividing 1.7 or...
Curated OER
Decimals Decide Olympic Champions
The class discovers how a decimal can make all the difference in the Olympics. As they learn about decimal place values, they compare and contrast data and demonstrate decimal values using manipulatives.
Illustrative Mathematics
Comparing Two Different Pizzas
What better way to learn about fractions than with a couple pizzas? Help Jessica figure out how much of the pizza she has eaten, while teaching your class that fractions refer to a specific whole amount. This problem will be challenging...
EngageNY
Grade 5 Math Module 1, Topic F, Lesson 13
After completing a fluency practice set on subtracting, multiplying, and comparing decimals, pupils begin learning about dividing decimals by whole numbers. They see how to use place value reasoning to find compatible numbers for...
EngageNY
Grade 5 Math Module 1, Topic E, Lesson 12
Continuing from the previous instructional activity, scholars work on mastering the skill of multiplying decimal fractions by a whole number. The method employed in the instructional activity is to convert the decimal fraction to its...
Illustrative Mathematics
Which Number is Greater? Which Number is Less? How do you Know?
When comparing groups of objects, it's easy for children to identify which has more, but it's not so easy for them to explain their reasoning. This simple whole-group activity provides multiple opportunities for learners to compare...
Illustrative Mathematics
Longer and Heavier? Shorter and Heavier?
For many young children it seems obvious that longer objects are heavier than shorter objects. This assumption is put to the test as the class investigates the relationship between length and weight in a whole-group activity. Using a...
New Mexico State University
Pearl Diver
Dive into the number line. Learners play a computer game that revolves around a number line as they try to collect pearls by diving at locations on a number line. As the game progresses, dive locations change from simple whole numbers to...
EngageNY
Comparing Quantities with Percent
Be 100 percent confident who has the most and by how much. Pupils use percentages to help make the comparisons by finding what percent one quantity is of the other. They also determine the percent differences between the two...
Illustrative Mathematics
Money in the Piggy Bank
It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...
EngageNY
Comparing Integers and Other Rational Numbers
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
Curated OER
Comparing a Number and a Product
Mental math strategies are important for fifth graders to be able to determine the greater sum without actually solving the equations. As a summative assessment, this eight-problem worksheet can give insight into the understanding of the...
Curated OER
Fractions in Action
Investigate equivalent fractions with your class. They compare and order fractions. Then they work cooperatively in groups to experiment and problem solve with fractions using a game format. Multiple resources are provided.
Illustrative Mathematics
Which Weighs More? Which Weighs Less?
Expand the the comparative language of young mathematicians with a hand-on weight measurement activity. Working independently or in pairs, children compare the weight of large wooden blocks to various other classroom objects, recording...
Rational Number Project
Initial Fraction Ideas Lesson 22: Overview
Have young mathematicians subtracting fractions in no time with this manipulative-based math lesson. Using their sets of fraction circles, young scholars explore a number of word problems involving the subtraction of fractions before...
Mathematics Assessment Project
Using Positive and Negative Numbers in Context
Measure the temperature of your math class with a temperature-based lesson plan on adding and subtracting rational numbers. The thermometer serves as a vertical number line for learners as they work together to solve a temperature change...