Lesson Plan
EngageNY

Even and Odd Numbers

For Students 6th Standards
Even or not, here I come. Groups investigate the parity of products and sums of whole numbers in the 17th lesson in a series of 21. Using dots to represent numbers, they develop a pattern for the products of two even numbers; two odd...
Lesson Plan
Illustrative Mathematics

Naming the Whole for a Fraction

For Teachers 3rd - 4th Standards
How many different ways can you represent a whole? In a picture that represents six parts (two of which are shaded), learners are asked to label the parts appropriately to show how three different mathematical interpretations can be...
Lesson Plan
Illustrative Mathematics

Irrational Numbers on the Number Line

For Teachers 7th - 9th Standards
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not...
Assessment
Illustrative Mathematics

Looking at Numbers Every Which Way

For Students 2nd Standards
Assess class members' ability to look at numbers every which way. A helpful instructional activity contain four tasks, including writing numbers as a sum of 100's, 10's, and 1's, and drawing a picture to represent the number.
Lesson Plan
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...
Lesson Plan
Illustrative Mathematics

Number of the Day

For Teachers K - 2nd Standards
Daily routines not only help to manage classrooms, they can also provide students with rich opportunities for learning. This activity supports young learners in developing their number sense by counting up the school days on a class...
Lesson Plan
EngageNY

Trigonometry and Complex Numbers

For Teachers 11th - 12th Standards
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
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...
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...
Lesson Plan
EngageNY

Complex Numbers as Vectors

For Teachers 11th - 12th Standards
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Lesson Plan
Illustrative Mathematics

Shake and Spill

For Teachers Pre-K - 1st Standards
Entertaining as well as educational, this math activity about decomposing numbers is bound to capture the engagement of young learners. Given a cup and five two-color counters, young mathematicians simply shake and spill the cup,...
Lesson Plan
EngageNY

Writing and Interpreting Inequality Statements Involving Rational Numbers

For Students 6th Standards
Statements often have multiple interpretations — but not these inequality statements. Scholars compare rational numbers and write inequality statements symbolically. The lesson includes problems that require comparing three numbers.
Lesson Plan
Illustrative Mathematics

Plastic Building Blocks

For Teachers 3rd - 5th Standards
Let's build a castle! Dennis and Cody have big plans, but do they have enough blocks between the two of them to accomplish their goal? A great context that requires students to add and compare mixed numbers. Encourage the use of pictures...
Lesson Plan
EngageNY

Comparing Integers and Other Rational Numbers

For Students 6th Standards
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
Lesson Plan
Illustrative Mathematics

What’s Missing?

For Teachers Pre-K - 1st Standards
Now you see them, now you don't! This fun peek-a-boo activity engages young mathematicians in developing their ability to compose and decompose numbers. After being presented with a series of counters, children close their eyes while the...
Lesson Plan
EngageNY

The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions

For Students 6th Standards
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
Lesson Plan
Curated OER

Comparing Fractions with a Different Whole

For Teachers 3rd - 4th Standards
What was Bryce's mistake? Through analysis of a student work example, learners develop their own ability to compare the fractions one fourth and one half. Central to this activity is the concept that, when comparing fractions, the whole...
Lesson Plan
EngageNY

Replacing Letters with Numbers

For Teachers 6th Standards
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The lesson focuses on expressions related to geometry, such as...
Lesson Plan
EngageNY

Real-World Positive and Negative Numbers and Zero

For Students 6th Standards
Class members investigate how positive and negative numbers are useful in the real world. Individuals first read a short passage and identify terms indicating positive and negative numbers. They consider situations involving positive...
Lesson Plan
Illustrative Mathematics

Christina's Candies

For Teachers Pre-K - 1st Standards
Help Christina figure out how many chocolate and lemon candies she has with a lesson on decomposing numbers. When presenting this context to the class, the teacher chooses the total number of candies and the number that are chocolate,...
Lesson Plan
Illustrative Mathematics

Banana Pudding

For Teachers 4th - 6th Standards
Making banana pudding despite misplacing your one-cup measuring cup is easy as long as you can find your quarter-cup measuring cup! This real-life activity provides a good opportunity for learners to interpret division of a whole...
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...
Lesson Plan
EngageNY

Real-World Positive and Negative Numbers and Zero II

For Students 6th Standards
Continuing from the previous activity in the series, scholars learn to use positive and negative integers to describe real-world situations. In groups, they come up with their own situations for given positive and negative integers. 

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