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...
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
Virginia Department of Education
Integers: Multiplication and Division
Rules are meant to be broken ... but not integer multiplication and division rules. Learners use chips to model integer multiplication and division. The results of the activity help them develop integer rules for these operations.
EngageNY
The Relationship Between Visual Fraction Models and Equations
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
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...
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
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Curated OER
Study Buddies: Relating Multiplication And Division
These acitivities are designed for two! With a partner, problem solve and calculate the answers to fifteen word problems or mathematical equations. Scaffolding and coaching are included, and as an extension learners are prompted to...
Illustrative Mathematics
How Many Servings of Oatmeal?
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their...
Curated OER
Cell, Socks, and Sex
Donate old socks for science! Young biologists model mitosis and meiosis, using socks as chromosomes and a balloon as a nucleus. This ingenious idea for modeling cell division will be more memorable to your young biologists than any set...
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
NTTI
Hey Good Lookin', Whatchya Got Cookin'?
What better way to explore working with fractions then by using them when cooking? In this lesson, students use video, the Internet, and real world, hands-on learning activities to enhance their understanding of multiplying and dividing...
Curated OER
Understanding Proportions and Scale Drawings
Proportions are ratios found using multiplication or division. Middle schoolers solve measurement problems, find a figure's missing dimension, and find the distance between two points. Resource features four lesson plans with detailed...
EngageNY
Writing an Argument Essay: Analyzing the Model
Class members analyze the model essay to determine the given claim and the evidence to support it. They use an Analyzing Evidence in the Model Essay sheet to help guide their work. They then begin to analyze the structure of the essay by...
Curated OER
Cell Size and Division or How Big Would You Want To Be if You Were a Cell?
Learners investigate why cells divide. In this cell size lesson plan, students observe how far a solution travels into 3 different size model cells of agar. They answer questions about the most effect movement of "nutrients" into the...
Illustrative Mathematics
Banana Pudding
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole number...
Curated OER
Relating Multiplication and Division
Help the class determine missing factors in equations by creating arrays. Through modeling and practice, they come to see the inverse relationship between multiplication and division. As an assessment, individuals build their own array...
Curated OER
Multiplying and Dividing Fractions and Mixed Numbers
Help math learners discover how to multiply fractions and mixed numbers. They will explore visual examples of the operations. They also practice solving problems that their instructor models.
Virginia Department of Education
Modeling Multiplication of Fractions
Multiply your understanding of multiplying fractions. A short lesson plan teaches pupils how to multiply fractions. By using fraction models, they get a better understanding of the concept.