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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...
NTTI
Hey Good Lookin', Whatchya Got Cookin'?
What better way to explore working with fractions then by using them when cooking? For this lesson, students use video, the Internet, and real world, hands-on learning activities to enhance their understanding of multiplying and dividing...
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
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...
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
"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
Dividing Fractions
Students solve fractions using division. In this algebra instructional activity, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with different denominators and...
Curated OER
Dividing Fractions
Students solve fractions using division. In this algebra lesson, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with different denominators and simplifying.
Curated OER
Dividing Fractions
Students solve fractions using division. In this algebra lesson, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with improper fractions or mixed numbers.
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...
Curated OER
Dividing Fractions and Mixed Numbers
Students solve fractions using division. In this algebra instructional activity, students solve fractions by flipping and multiplying by the reciprocal. They practice dividing fractions with improper fractions or mixed numbers.
Curated OER
Dividing Fractions and Mixed Numbers
Ninth graders divide fractions and mixed numbers. In this algebra lesson, 9th graders solve fractions by division using the flip and multiply method. They have to rewrite their mixed numbers as an improper fraction first.
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...
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Illustrative Mathematics
Half of a Recipe
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
Education Development Center
Anita's Way to Add Fractions with Unlike Denominators
Could you develop your own way to add fractions with unlike denominators? An in-depth task has scholars examine a fictional conversation between several people in which they discuss a method of adding fractions with unlike denominators....
Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
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
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.
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...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
Curated OER
Putting the Pieces Together
Children explore fractions on a conceptual level by making individual quilt squares. Each student works with small paper swatches to divide them into pieces that represent a given fraction. The class is then separated into groups and...
Illustrative Mathematics
Running Laps
If you run more laps, did you run further? Well, it depends. If the laps are different lengths, you need to do some math to answer that question. The goal of this task to is compare two fractions. Young learners represent the real-world...
EngageNY
Finite and Infinite Decimals
Explore the patterns of fractions that produce finite and infinite decimals. The sixth lesson of the series asks learners to determine a similar feature of fractions that produce finite decimals. Using the patterns, pupils create...
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