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
“One More” Concentration
Help your primary learners develop an understanding of the concept of one more and one less using two sets of number cards. The first set of cards, all in one color, is the "one less" deck. The second set, again all in one specific...
Illustrative Mathematics
Rectangle Perimeter 2
While this activity is centered around expressions that represent the perimeter of a rectangle, it also hits at the fundamental concept of equivalent expressions, simplifing expressions, and like-terms. Classmates express their...
Illustrative Mathematics
Anna in D.C.
The amount of tax and tip on a restaurant bill is a common example used in percent problems. Here, learners only know the total amount paid, and they need to figure the itemized amounts. Solutions using a ratio table, using knowledge of...
Illustrative Mathematics
Seven to the What?!?
Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the...
Illustrative Mathematics
Morning Walk
Sometimes young algebra learners don't understand why they need to create an equation when they can just figure out the answer with it. This activity tries to encourage creating simple equations by balancing the use of more complicated...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...
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...
Illustrative Mathematics
Find The Numbers 0-5 or 5-10
In need of math station or center for your kindergartners? Model how to play this game with the whole class first and then make it into a center. Create a few sets of six number cards with 0-5 or 5-10 and then create a matching die with...
Illustrative Mathematics
Counting Cup
Help your kindergartners develop counting skills using a 24 oz. plastic cup, counting manipulatives, and a paper plate. Start with a small group of learners and place a quantity of counting objects between the range of 5 to 10 into each...
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
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...
Illustrative Mathematics
Assessing Writing Numbers
Can I say a number by its name, and can you write it for me? Working in small groups or with the whole class, give your kindergartners a piece of 1-inch graph paper and have them write numbers 0 to 10 and 11 to 20. Next, pass out blank...
Illustrative Mathematics
Assessing Counting Sequences Part II
Access the instructional counting level of your class by prompting them to recall consecutive numbers within a given number range. Working one-on-one with your students and starting with the number range of 1-10, and working toward the...
Illustrative Mathematics
Assessing Counting Sequences Part I
Working with kindergartners one-on-one, you will identify their ability to count by 1s and 10s and conclude what levels they have mastered, as well as where they need skills practice and instruction. The commentary provided will aid you...
Illustrative Mathematics
The High School Gym
Learners apply critical thinking skills as they analyze data about the temperature inside a gymnasium during a school assembly. The focus is on representing temperature as a function of time and interpreting input and output values...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Illustrative Mathematics
Points equidistant from two points in the plane
Young geometers apply their deductive reasoning skills and knowledge of proving triangles congruent in a task that asks them to prove if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints...
Illustrative Mathematics
Assessing Sequencing Numbers
Assess whether your kindergartners can identify numbers in random order using two sets of numeral cards 1-10 and 11-20. Starting with a small group and the 1-10 deck give your learners the task of putting the cards into order from...
Illustrative Mathematics
Color Week
Practice counting by ones up to 20 with your kindergartners using this colorful class experiment. There are two versions for the lesson. Version 1: The Friday beforehand, send home a notice for the week assigning a different color for...
Illustrative Mathematics
Identifying Graphs of Functions
Match the graph with its function in an exercise that focuses on variations of the graph of y = e^x. Learners are given four graphs on the same set of axes and four functions, all involving e^x. The task is to match each...
Illustrative Mathematics
Dilating a Line
High School geometers verify through experimentation certain properties about dilations. This multi-step problem challenges them to construct examples of dilations to verify specific facts, the final step provides an opportunity to more...
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...