Illustrative Mathematics
Regrouping
What number does 6 tens and 16 ones represent? How is it different from or similar to the number that 7 tens and 6 ones represent? This is the type of questions learners are asked to solve as a way to understand the concept of regrouping.
Illustrative Mathematics
Red and Blue Tiles
Here, second graders are tasked to find the patterns that have an even number of tiles. They are asked to think about why these patterns are even or odd and explain how they know.
Illustrative Mathematics
Comparing Sums of Unit Fractions
First, add each set of fractions with unlike denominators. Then, compare their sums with the symbols <, >, or =.
Illustrative Mathematics
Ordering Numbers
Deepen the number sense of young mathematicians with this unique ordering exercise. Given a list of the numbers 1, 5, 10, 50, and 100, young learners must determine where the numbers from a second list fit in the sequence. To increase...
Illustrative Mathematics
Roll & Build
Develop young mathematicians' understanding of place value with this hands-on math activity. Working in pairs, learners take turns building two-digit numbers by rolling two ten-sided dice. Base ten blocks are then used to model the...
Illustrative Mathematics
Start/Stop Counting II
Take stroll around the classroom while teaching young mathematicians to count fluently with this whole-group math activity. The teacher starts things off by walking around the room while counting up from the number one and continues...
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...
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, students are asked to determine whether or not one half of each circle is shaded. To support...
Illustrative Mathematics
“Crossing the Decade” Concentration
Young mathematicians concentrate on learning to fluently count. Following the rules of the classic game Memory, children take turns flipping over cards in order to find pairs of numbers that cross a decade (e.g. 29 and 30). For younger...
Illustrative Mathematics
Counting Circles II
Fill those extra ten minutes of math time with this fun counting activity. Given a short sequence of numbers, young mathematicians stand in a circle and count one-by-one until the last number is reached, at which point the whole group...
Illustrative Mathematics
Comparing Numbers
Young mathematicians spin their way to a deeper number sense with this fun, collaborative activity. Using two spinners, one with the numbers 0-9 and the other with the decades 00-90, pairs of students take turns building and comparing...
Illustrative Mathematics
Making a Clock
Have a fun time teaching children to read analog clocks with this whole-group math activity. Using large sets of the numerals 1-12 and 0, 5, 10...55, the teacher creates a large clock on either the carpet or the white board, explaining...
Illustrative Mathematics
Hundred Chart Digit Game
Math games, especially in the primary grades, provide great opportunities for developing the number sense of young mathematicians. Working in pairs with a deck of single-digit cards, students take turns drawing two cards and reading the...
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Illustrative Mathematics
Battery Charging
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge? Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Illustrative Mathematics
Function Rules
Function machines are a great way to introduce the topic of functions to your class. Here, you will explore the input and output to functions both using numerical and non-numerical data. Learners are encouraged to play with different...
Illustrative Mathematics
Movie tickets
This is a good Common Core question that relates inflation to operations with decimals and rounding. Young learners are asked to find out if an amount of money can purchase the same amount of movie tickets in 2012 as it did in 1987. They...
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
The Florist Shop
A real-world approach to common multiples asks learners to find different groups of flowers based on their multiples. Useable as a class activity or independent exercise, they will have to organize their thoughts to explain the totals of...