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...
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, learners are asked to determine whether or not one half of each circle is shaded. To support...
Lesson Plan
EngageNY

The Opposite of a Number's Opposite

For Students 6th Standards
It's said that opposites attract, but what about opposites of opposites? Individuals learn about the opposite of opposites using number lines. They complete a group activity in which members determine the opposite of opposites of...
Lesson Plan
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Curated OER

Two Squares are Equal

For Teachers 8th - 12th Standards
This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...
Lesson Plan
EngageNY

Ordering Integers and Other Rational Numbers

For Students 6th Standards
Scholars learn to order rational numbers in the seventh lesson in a series of 21. Reasoning about numbers on a number line allows for this ordering.
Lesson Plan
EngageNY

Ordering Integers and Other Rational Numbers II

For Students 6th Standards
Individuals build on prior knowledge to order a set of rational numbers from least to greatest or greatest to least. As part of the lesson, they order rational numbers written in different forms.
Lesson Plan
EngageNY

Rational Numbers on the Number Line

For Students 6th Standards
Individuals learn how to plot rational numbers on the number line in the sixth lesson plan of a 21-part module. They identify appropriate units and determine opposites of rational numbers.
Assessment
Los Angeles County Office of Education

California State Standards: Algebra I

For Students 8th - 10th Standards
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Lesson Plan
Illustrative Mathematics

Operations on the Number Line

For Teachers 7th - 9th Standards
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
Lesson Plan
Illustrative Mathematics

Kiri's Mathematics Match Game

For Teachers K - 2nd Standards
Learning math is so much more fun when it involves playing games. Following the rules of the classic game Memory, young mathematicians flip over two cards at a time as they look for numbers whose sum or difference is equal to the value...
Lesson Plan
Illustrative Mathematics

Two Interpretations of Division

For Teachers 3rd - 4th Standards
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...
Lesson Plan
Illustrative Mathematics

Dividing by One-Half

For Teachers 4th - 6th Standards
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach the...
Assessment
Inside Mathematics

Party

For Teachers 8th Standards
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
Lesson Plan
Illustrative Mathematics

$20 Dot Map

For Teachers K - 2nd Standards
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...
Lesson Plan
EngageNY

Estimating Probabilities by Collecting Data

For Teachers 7th Standards
Take a spin to determine experimental probability. Small groups spin a spinner and keep track of the sums of the spins and calculate the resulting probabilities. Pupils use simulated frequencies to practice finding other probabilities to...
Assessment
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PBS

Working with Coordinate Planes: Assessments

For Teachers 5th - 8th Standards
It's time for scholars to show what they know about coordinate planes with a collection of three assessments. The exams' objectives include plotting points on a single grid, measuring using the distance formula, and identifying...
Assessment
Noyce Foundation

Fair Game?

For Teachers 6th - 7th Standards
The game should be fair at all costs. The mini-assessment revolves around the ability to use probabilities to determine whether a game is fair. Individuals determine compound events to calculate simple probabilities and make...
Lesson Plan
Illustrative Mathematics

Guess the Marbles in the Bag

For Teachers K Standards
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...
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...
Lesson Plan
Illustrative Mathematics

Painting a Room

For Teachers 4th - 6th Standards
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows young scholars to draw out a solution to aid their thinking. The well-written answer sheet describes common...
Lesson Plan
Curated OER

More and Less Handfuls

For Teachers K Standards
Working as a pair, two kindergartners will sit at a table and will pick two handfuls of counters. They will combine their individual handfuls into one, and count their own selection. They will then draw and record their count on a record...
Lesson Plan
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Illustrative Mathematics

What Shape Am I?

For Teachers 3rd - 5th Standards
Sharpen your pencil and grab a ruler, it's time to draw some quadrilaterals! Given the definition of a parallelogram, rectangle, and rhombus, learners draw examples and nonexamples of each figure. The three definitions are...
Assessment
Noyce Foundation

Granny’s Balloon Trip

For Teachers 5th - 8th Standards
Take flight with a fun activity focused on graphing data on a coordinate plane. As learners study the data for Granny's hot-air balloon trip, including the time of day and the distance of the balloon from the ground, they practice...
Lesson Plan
Illustrative Mathematics

Explaining Fraction Equivalence with Picture

For Teachers 3rd - 5th Standards
Visual models are a great tool for demonstrating the concept of equivalent fractions. Given two pictures, young mathematicians first identify each fraction and then write an explanation for why they are equivalent. Use as a guided...