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Assessment
Illustrative Mathematics

Regrouping

For Students 2nd Standards
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.
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Assessment
Illustrative Mathematics

Red and Blue Tiles

For Students 2nd Standards
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.
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Assessment
Illustrative Mathematics

Comparing Sums of Unit Fractions

For Students 4th Standards
First, add each set of fractions with unlike denominators. Then, compare their sums with the symbols <, >, or =. 
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Lesson Plan
Illustrative Mathematics

Ordering Numbers

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Roll & Build

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Start/Stop Counting II

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Equality Number Sentences

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Field Day Scarcity

For Teachers K - 2nd Standards
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...
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Lesson Plan
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Illustrative Mathematics

Representing Half of a Circle

For Teachers 2nd - 4th Standards
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...
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Lesson Plan
Illustrative Mathematics

“Crossing the Decade” Concentration

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Counting Circles II

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Comparing Numbers

For Teachers K - 2nd Standards
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...
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Lesson Plan
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Illustrative Mathematics

Making a Clock

For Teachers K - 2nd Standards
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...
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Activity
Illustrative Mathematics

Hundred Chart Digit Game

For Teachers K - 2nd Standards
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...
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Lesson Plan
Illustrative Mathematics

Chicken and Steak, Variation 2

For Teachers 7th - 9th Standards
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...
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Lesson Plan
Illustrative Mathematics

Who Has the Best Job?

For Teachers 7th - 9th Standards
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...
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Lesson Plan
Illustrative Mathematics

Battery Charging

For Teachers 7th - 9th Standards
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...
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Lesson Plan
Illustrative Mathematics

Sore Throats, Variation 2

For Teachers 6th - 8th Standards
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...
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Lesson Plan
Illustrative Mathematics

Summer Swimming

For Teachers 7th - 9th Standards
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...
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Lesson Plan
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Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
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...
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Lesson Plan
Illustrative Mathematics

Function Rules

For Teachers 7th - 9th Standards
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...
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Lesson Plan
Illustrative Mathematics

Movie tickets

For Teachers 6th - 7th Standards
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...
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Lesson Plan
Illustrative Mathematics

Multiples and Common Multiples

For Teachers 6th - 7th Standards
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...
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Lesson Plan
Illustrative Mathematics

The Florist Shop

For Teachers 6th - 7th Standards
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...