Lesson Plan
Illustrative Mathematics

Assessing Writing Numbers

For Teachers K Standards
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...
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
EngageNY

An Appearance of Complex Numbers 2

For Teachers 11th - 12th Standards
Help the class visualize operations with complex numbers with a instructional activity that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a...
Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
Lesson Plan
EngageNY

Conducting a Simulation to Estimate the Probability of an Event II

For Teachers 7th Standards
Add some randomization into simulations. The 11th installment in a series of 25 presents two new methods to use in simulations--colored disks, and random numbers. Pupils use random numbers to run simulations where the probabilities make...
Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Teachers 9th - 10th Standards
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Students 9th - 10th Standards
As a continuation of a previous lesson, this activity builds on the concept of calculating the terms of a sequence. Pupils are challenged to determine the smallest starting term to reach a set number by a set number of rounds. Notation...
Lesson Plan
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EngageNY

Adding and Subtracting Expressions with Radicals

For Students 9th - 10th Standards
I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of...
Lesson Plan
West Contra Costa Unified School District

The Power of Ten: Building a Magnitude Model

For Teachers 4th - 5th Standards
Add visual representation to teaching place value with a magnitude model. Using adding machine tape, pupils build a linear place value strip from 1 to 100.
Lesson Plan
EngageNY

Sums and Differences of Decimals

For Students 6th Standards
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...
Lesson Plan
EngageNY

Linear Transformations Review

For Teachers 11th - 12th Standards
Time for matrices and complex numbers to come together. Individuals use matrices to add and multiply complex numbers by a scalar. The instructional activity makes a strong connection between the operations and graphical transformations.
Lesson Plan
EngageNY

Networks and Matrix Arithmetic

For Teachers 11th - 12th Standards
Doubling a network or combining two networks is quick and easy when utilizing matrices. Learners continue the network example in the second lesson of this series. They practice adding, subtracting, and multiplying matrices by a scalar...
Lesson Plan
EngageNY

Sampling Variability

For Teachers 7th Standards
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
Lesson Plan
Curated OER

Absolute Value and Basic Operations With Real Numbers

For Teachers 6th - 8th
Middle schoolers investigate the mathematical concept of absolute value by counting the number of steps taken in two directions. Using the number line the teacher can note how they can forward and backward without changing the absolute...
Lesson Plan
Curated OER

Order Numbers On a Number Line

For Teachers 5th - 6th
Fifth and sixth graders study the use of a number line to add integers and they observe a teacher demonstration of how to add integers on a number line. Afterward, they construct a number line and use the number line to solve addition...
Lesson Plan
Curated OER

Math Shortcuts

For Teachers 3rd - 7th
Looking for a different way to introduce long division? Need a shortcut for checking multiplication answers? Then this is for you! The multiplication method uses a quick trick to check for accuracy. The division method allows learners to...
Unit Plan
Buffalo State

Adding and Subtracting Integers Unit

For Teachers 6th - 7th Standards
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one...
Lesson Plan
EngageNY

The Geometric Effect of Some Complex Arithmetic 1

For Teachers 11th - 12th Standards
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth lesson in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it...
Lesson Plan
Curated OER

Dance, Dance, Dance

For Teachers K - 2nd
Use dance and song to help your charges in adding whole numbers to 10. For this adding to 10 lesson, learners become the manipulatives as you add them.
Lesson Plan
Curated OER

A New Set of Numbers

For Teachers 6th
Sixth graders add and subtract positive and negative integers. In this integers math lesson, 6th graders review the number line as a class, with students representing the numbers and moving in a positive or negative direction to find...
Lesson Plan
EngageNY

Describing the Center of a Distribution Using the Mean

For Teachers 6th Standards
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
Lesson Plan
Curated OER

Positive-Negative Charge Model For Integers

For Teachers 5th - 7th
Use two different colors of bingo chips to represent positive and negative charges. Add and subtract them in a clear glass beaker to demonstrate how to add and subtract integers. This visual, along with a number line, will really help...

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