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 the...
Illustrative Mathematics
Baking Cookies
You can never have enough cookies, but do you have enough ingredients? This activity allows your bakers to discover how many batches of cookies they can make with the ingredients provided. Also useable as an independent assignment, your...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
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 lesson plan in the Additional Materials section to practice...
EngageNY
Dividing Fractions and Mixed Numbers
Class members discover how to extend division to fractions to mixed numbers. Individuals first review how to convert mixed numbers to improper fractions and then apply division strategies learned in previous lessons. A memory game tests...
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...
Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
Illustrative Mathematics
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
Illustrative Mathematics
Cup of Rice
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with fractions.
Illustrative Mathematics
Video Game Credits
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Target B
Are you tired of hearing "When am I ever going to need to use this in real life?" Cooking word problems, in addition to other math work, answer the question easily. Grade 6 Claim 1 Item Slide Shows offers eight problems reinforcing...
EngageNY
Creating Division Stories
Create your own adventure story ... well, not really. The fifth instructional activity in a 21-part series has pairs create story contexts for division problems. The instructional activity presents a step-by-step process for pupils to...
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...
Illustrative Mathematics
Drinking Juice, Variation 2
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
EngageNY
More Division Stories
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
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 at...
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...
Illustrative Mathematics
Running to School, Variation 3
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
Noyce Foundation
Rabbit Costumes
How many rabbit costumes can be made? This is the focus question of an activity that requires scholars to use multiplication and division of fractions to solve a real-world problem. They determine the amount of fabric necessary for eight...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
Illustrative Mathematics
Running to School, Variation 2
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
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