Illustrative Mathematics
Voting for Three, Variation 3
Get your learners to think outside the box. Students require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes for...
5280 Math
Decimal Patterns
Find patterns in the process instead of the result. Learners convert series of decimals and fractions identifying patterns along the way. The lesson includes nine problem tasks with progressively more involved patterns.
Under the Dome
Sweet Tart Hearts Revisited
Use fractions to estimate candy counts. After watching a video of emptying a bag of candies into a glass, individuals estimate the number of candies of each color. The teacher provides the class with additional information to help answer...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the standards...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such...
Illustrative Mathematics
Cooking with the Whole Cup
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
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...
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...
Under the Dome
Sweet Tart Hearts
Take your best educated guess. After being presented with a video of a glass of candies, class members estimate the number of each color of candies. Pupils view a graphic showing more information on the fraction of candies before...
Illustrative Mathematics
Pennies to Heaven
Even though pennies seem to be relatively thin, stack enough of them into a single stack, and you could have quite a high stack. Enough so, that the final result can be a surprise to you as well as your class. This activity centers...
Illustrative Mathematics
Jog-A-Thon
Adding fractions with unlike denominators can be cloudy, but attaching the fractions to real-life math can add to fraction number sense. Alex needed to run only a mile, will completing the training in two segments satisfy this...
Illustrative Mathematics
Finding Common Denominators to Add
Finding common denominators is an important strategy when adding fractions with unlike denominators. In the first two questions in this three-question task, fifth graders are asked to combine fractions and draw a picture to show their...
Curated OER
Finding Common Denominators to Subtract
Subtracting fractions with unlike denominators can be overwhelming, but in this task, 5th graders work systematically to break down the procedure through three questions. The first two questions ask for pictures to be drawn along with...
Illustrative Mathematics
Making S'Mores
Fifth graders will be clamoring for s'more fractions after they finish this one! Motivated by a chocolate bar used for a yummy campfire treat, learners have to decide how to add fractions without like denominators by discovering the...
Curated OER
Drinking Juice
Pictures, number lines, decimal equivalents, or Cuisenaire rods can be used to show insight into the meaning of multiplying fractions.Here, Alisa drinks 3/4 of 1/2 liter of juice. To find the total volume of the juice that Alisa drank,...
Illustrative Mathematics
Salad Dressing
Aunt Barb's salad dressing is a mixture of oil, vinegar, salt, herbs, and a pinch of math. Fifth graders add the fractional measurements of ingredients to find a total amount. The fractions have unlike denominators. After finding the...
Illustrative Mathematics
How Much Pie?
The connection between fractions and division is not always intuitive for 5th graders. Pie, on the other hand, is something 5th graders can connect with. Multiple pies divided among multiple people provide the platform for your class to...
Pie Council
National π Day
Learners can enjoy pi with pie! A collection of short activities celebrates pi day with a word search, a maze, and real-world problemsn. Using pi in formulas for area, circumference, and volume as well as exploring simple fractions is...
Illustrative Mathematics
Painting a Wall
Red and yellow do not make orange in this activity, but they do create a real-life, multiplication of fractions word problem. As either a lead-in or an assessment, math masters display their understanding of 1/2 x 5/6 when a wall needs...
Curated OER
Connor and Makayla Discuss Multiplication
The commutative property of multiplication applies not only to whole numbers but to fractions as well. Connor and Makayla explore and discuss the idea that 2/3 x 3 is the same as 3 x 2/3. Your 5th grade class will connect with learning...
Illustrative Mathematics
Running to School
The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...
Curated OER
Do These Add Up?
Common Core mathematical practices require that young mathematicians not only know how to add fractions with unlike denominators, but also to recognize when adding fractions are appropriate for the word problem. Fifth graders are given...
Illustrative Mathematics
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the worksheet, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are 3/4 as...
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