Illustrative Mathematics
Dan’s Division Strategy
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how...
Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, learners first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
Curated OER
Multiplication and Division Pick 'n' Mix 2
Fifth graders practice a wide range of strategies for solving multiplication and division problems with whole numbers and decimal fractions. They interact with operations on decimals, relevant size and place value of decimals to three...
Creative Educator
Fantastic Fractions
Groups of learners create an animation illustrating fractions using common objects. They choose everyday objects that they can divide into fractions. They take pictures of the objects dividing into fractions and create an animation with...
Curated OER
Dividing Fractions
Reciprocals are the method used for dividing fractions in this instructional session. A fraction is defined as being a division problem, and then the whole group works together to solve several problems. They check for the reasonableness...
Curated OER
Fractions Forever!
Middle schoolers identify proper, improper fractions, and mixed numbers. They reduce fractions to their lowest terms. They add and subtract fractions with different denominators, and multiply and divide fractions, as well as...
Curated OER
Polygon Division Models
Students use polygons to explore division. They use pattern blocks to represent whole numbers and fractions. They discuss divisors, factors, dividend and products. In groups, students present models and solve problems. They justify their...
Illustrative Mathematics
Making Hot Cocoa, Variation 2
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson, which can be found in Additional Materials,...
Illustrative Mathematics
Making Hot Cocoa, Variation 1
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the instructional activity in the Additional Materials section to...
Willow Tree
Fractions
There’s a fine line between a numerator and a denominator. Learners review operations with fractions and ensure they have the skills needed to progress in the course. Taking the time now to review these concepts allows individuals to...
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...
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...
EngageNY
Ratios of Fractions and Their Unit Rates
Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...
Curated OER
Division by Fractions (Part Two)
Investigate division through the use of array models. The lesson plan focuses on using area models to compare division as sharing with division as grouping. Students evaluate the usefulness and limitations of the two array models.
Curated OER
Fantastic Fraction Fudge
In order to create some tasty fudge, learners must adapt a recipe. Using a recipe for fudge, ingredients must be correctly converted using fractions. If one fraction is incorrect, the fudge will reveal it! Although you will only make one...
EngageNY
Converting Rational Numbers to Decimals Using Long Division
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...
Curated OER
Modeling Multiplication and Division of Fractions
Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals instructional activity, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct...
Curated OER
Whole Numbers, Fractions, and Decimals
Elementary and middle schoolers participate in an assignment to explore the concept of division and having a remainder. They also practice division problems using decimals and fractions without a remainder.
Illustrative Mathematics
Equivalent fractions approach to non-repeating decimals
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks...
Curated OER
Comparing Fractions
Learners compare three sets of fractions using the greater than, less than, and equal signs. To justify their answers, a drawing is also required that illustrates their reasoning. Including fractions with like and unlike denominators, as...
Curated OER
Arithmetic: Fractions and Percentages
Young mathematicians review the basic operations needed for addition and subtraction of fractions. They review the rules for addition and subtraction of fractions with the same denominator, how to change them if the denominators are...
Curated OER
"Pizza"rama With Fractions!!
Young mathematicians explore number values by utilizing food as a visual aide. They discuss the differences between halves, fourths, and eighths and how they are visually represented by a pizza. Then create their own pizza in class and...
Curated OER
Sharing Brownies: Fractions That Represent a Fair Share
Elementary graders discover the concept of fractional pieces of a whole. They investigate the meanings of fractions in everyday life and why they are used. Pupils divide brownies amongst each other to demonstrate the use of fractions...
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