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...
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...
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...
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...
Henrico County Public Schools
Factoring Puzzle
Factoring polynomials is an essential part of writing equivalent expressions and algebraic problem solving. Here is a card game that serves an engaging activity for reviewing factoring of polynomials.
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 1
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
Illustrative Mathematics
The Locker Game
Here is a learning activity that incorporates a classic puzzle in mathematics. Young mathematicians are guided through a series of statements that describe rounds of pupils opening and closing lockers. The first person opens all 20...
Illustrative Mathematics
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
PBL Pathways
Biscuits
Calculate the nutrients in different types of dog biscuits. Pupils create a technical report outlining the amount of calcium, protein, and carbohydrates in three types of dog biscuits. The project-based learning activity requires...
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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...
KenKen Puzzle
KenKen® Puzzle
Think inside the box with KenKen® puzzles to provide some problem solving practice. These puzzles are similar to Sudoku, but require computation inside designated boxes. There are multiple puzzles with a range of difficulties to...
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Barnstable Public Schools
Math Relay Races
A plethora of activities make up a cross curricular choice page filled with math games—relay races, dice, and crossword puzzles—a survey challenge equipped with data organization, graphing, a quicksand recipe, Hula-Hoop activity to...
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...
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
Grass Seedlings
Plants never grow at the same rate, and that is the antithesis for this word problem involving multiplication of fractions. On the learning exercise, Raul notices that Pablo's seedlings are 1 1/2 times as tall, and Celina's seedlings are...
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...
Illustrative Mathematics
Using Function Notation I
Show learners that function notation and multiplication notation are not the same. In the example, Katie is given a function, C(x), which is the cost of producing x amount of DVDs. Ask learners if Katie can divide the function notation,...
Curated OER
Choosing a College
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...
Illustrative Mathematics
Origami Stars
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
Illustrative Mathematics
Cari's Aquarium
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume, then...
Illustrative Mathematics
Running a Mile
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...
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