Illustrative Mathematics
Seeing is Believing
How many visual models can be used to show multiplication? Three basic kinds of models can be used to represent and explain the equation 4 x (9 + 2). The commentary section provides description and graphics to explain the set model,...
Curated OER
Egyptian Fractions
You don't have to be an ancient Egyptian to decipher fractions in this activity that focuses on adding fractions with unlike denominators and developing fraction number sense. Egyptians represented fractions differently than we do. They...
Curated OER
Finding the Area of Polygons
Third graders are exposed to finding the area of polygons by decomposing figures and recomposing them into rectangles. This strategy allows children to expand on their prior knowledge of constructing shapes by rearranging parts into...
Illustrative Mathematics
Ants Versus Humans
You would think that humans make up more mass than ants do on this planet, but think again, and this time by performing calculations. Middle schoolers use scientific notation to compute and compare the estimated total mass of all humans...
Illustrative Mathematics
Triangular Tables
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
Illustrative Mathematics
Sugar in Six Cans of Soda
Understanding how to multiply a whole number by a fraction is the key concept. Young mathematicians create a visual model of this real-world example and find the solution. Extensions are possible for making this an even richer activity....
Curated OER
Is This a Rectangle?
How do you show that something is a rectangle? This activity starts with four coordinate points and asks young geometers to explain whether they create a rectangle. Knowledge from both geometry and algebra come into play here, as well...
Illustrative Mathematics
Counting Overview
Develop automatic, meaningful counting skills with your class by using everyday classroom/school items, objects, and opportunities. Counting skills should be practiced during the year using objects and items they are familiar with and...
Illustrative Mathematics
Guess the Marbles in the Bag
Use this activity to help your class develop an understanding of greater than, less than, and equal to with numbers valued between 1 and 10. Secretly place a number of marbles (between 1 and 10) in a brown paper bag. Then shake the bag...
Curated OER
Number After Bingo 1-15
Using a number line, as a class, discuss the concept of the number after. Choosing numbers on the number line, ask your kindergartners what number comes next and point to that number. Once the class has this concept down, pair-up and...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Illustrative Mathematics
Security Camera
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
Illustrative Mathematics
Shrinking
Is Aunt Nancy shrinking? Find out by calculating with the average height women lose each year. The activity practices multiplying and dividing with decimals and rounding the final answer.
Illustrative Mathematics
Comparing Years
Who knew that the Egyptian, Julian, and Gregorian year were different lengths? Your mathematicians will! They will have to calculate the difference between the years in seconds and find the percent change. Using dimensional analysis,...
Illustrative Mathematics
Walk-a-thon 2
During a walk-a-thon your learners must determine the walking rate of Julianna's progress. Using tables, graphs, and an equation, they must be able to calculate the time it took her to walk one mile and predict her distance based on the...
Illustrative Mathematics
Two-School Dance
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...