Illustrative Mathematics
$20 Dot Map
Challenge the addition skills of young learners with this open-ended math problem. The task is simple, get from start to finish by connecting a series of three numbers. The trick is that the sum of the numbers must be less than...
Illustrative Mathematics
Equality Number Sentences
Understanding the concept of equality is fundamental to the success of young mathematicians. To explore this basic idea, children compare the dots arranged in pairs of rectangles in order to determine whether or not they contain an equal...
Curated OER
Two Points Determine an Exponential Function I
Learners construct an exponential function from a graph, and two given points on the graph, as they analyze what makes up an exponential function.
Curated OER
Two Points Determine an Exponential Function II
Your algebra learners will build an exponential equation given a graph with two specific points labeled.
Illustrative Mathematics
Multiples and Common Multiples
Learners are asked to find multiples and common multiples of two numbers. They must take their findings and find a pattern between the numbers and explain their reasoning. Use this resource with The Florist Shop activity in this series...
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Curated OER
Bernardo and Sylvia Play a Game
This activity presents a game played by two learners whose solution is an exercise in creating and analyzing with algebraic inequalities.
Curated OER
Reflected Triangles
Your learners find and construct the line of reflection between a triangle's pre-image and its reflection image in this short activity.
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra young scholars are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of...
Curated OER
Delivery Trucks
Written to assess students' knowledge of interpreting expressions that represent a quantity in terms of its context, this machine-scored task also allows for a good discussion about units guiding the problem solving and solution.
Illustrative Mathematics
Similar Triangles
Proving triangles are similar is often an exercise in applying one of the many theorems young geometers memorize, like the AA similarity criteria. But proving that the criteria themselves are valid from basic principles is a great...
Illustrative Mathematics
Crude Oil and Gas Mileage
Here is an activity that presents a real-world problem about the relationship between crude oil production and the gas mileage of modern automobiles. After learners write functions to describe the relationships, they are asked to...
Curated OER
Breakfast Before School
Are the events "I eat breakfast" and "I am late for school" independent events? Assess learners' understanding of independence in a simple context with this short instructional activity. Use as an opener, as part of an assignment, or...
Illustrative Mathematics
Counting by Tens
With this daily counting activity, your kindergartners will master counting in sequence automatically from 0 to 100, and will count in multiples of ten to 100. With the whole class, count to 100. With each number, learners will whisper...
Curated OER
Closest to 1/2
Using a number line, pupils are asked to identify which of four fractions is closest to one half. Includes a single problem that can serve as a practice problem or formative assessment for 3rd or 4th graders learning to partition number...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
Illustrative Mathematics
The Escalator, Assessment Variation
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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...
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Illustrative Mathematics
Computing Volume Progression 2
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change.
Illustrative Mathematics
Jayden’s Snacks
A quick activity to test the knowledge of your learners on adding and subtracting with decimals. They must calculate how much Jayden spent at the store and how much money he has remaining.