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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
Activity
5280 Math

Multiplication Table Algebra

For Teachers 8th - 12th Standards
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.
Lesson Plan
EngageNY

The General Multiplication Rule

For Teachers 11th - 12th Standards
In the first installment of a 21-part module, scholars build on previous understandings of probability to develop the multiplication rule for independent and dependent events. They use the rule to solve contextual problems.
Unit Plan
Mathematics Vision Project

Module 10: Matrices Revisited

For Students 10th - 12th Standards
A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...
Lesson Plan
EngageNY

Multiplying and Factoring Polynomial Expressions (part 2)

For Students 9th - 10th Standards
If you can multiply binomials, you can factor trinomials! This is the premise for a lesson on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading coefficients of one...
Lesson Plan
Curated OER

Using Electronic Manipulatives in Multiplication

For Teachers 9th - 11th
Factor polynomials using electronic manipulatives. Your class will create a spreadsheet in excel and use it to multiply and perform basic operations and solve problems correctly. They create a visual to go along with each multiplication...
Lesson Plan
EngageNY

Analyzing Decisions and Strategies Using Probability 1

For Teachers 11th - 12th Standards
Learn how to increase the probability of success. The 19th installment of a 21-part module teaches future mathematicians how to use probability to analyze decisions. They determine strategies to maximize the chances of a desired outcome.
Lesson Plan
EngageNY

Why Were Logarithms Developed?

For Teachers 10th - 12th Standards
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Unit Plan
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Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
Lesson Plan
Curated OER

An Introduction To Volume

For Teachers 3rd - 5th Standards
Upper graders explore the topic of volume. In this math lesson plan, pupils count volume in cubic units, multiply to find volume, estimate volume, write a multiplication sentence to find the volume, and make a cost analysis of different...
Lesson Plan
Curated OER

Chemistry Lab: Chemical Equilibrium

For Teachers 9th - 12th
High schoolers investigate the effects of adding or removing a reactant or a product on chemical equilibrium. In this equilibrium lesson plan, students add or remove ions to solutions to determine the effects on equilibrium. They make...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
Shodor Education Foundation

Replacement and Probability

For Teachers 7th - 10th Standards
Middle and high schoolers explore the concept of probability. In this probability lesson, learners conduct an experiment with a bag of marbles. Pupils draw marbles from a bag and determine the probability of drawing a particular color...
Lesson Plan
Curated OER

Simple Machines V - Wheels and Axles and Gears

For Teachers 4th
Fourth graders investigate the principles and uses of gears, and examine how gears can be used to alter the direction of motion or the speed of an object. They observe two cars with different sized wheels roll down an inclined plane,...
Lesson Plan
Curated OER

The 3R's: Rights, Rules, and Responsibilities

For Teachers 8th
Eighth graders complete seven work stations that highlight math activities while they focus on the rules for Internet use and classroom rules for working in cooperative groups. After completing the activities, they complete a self-...
Lesson Plan
Curated OER

Understanding Place Value

For Teachers 5th
Fifth graders study place value. After forming teams, they play a game called, "Who Can Line Up the Number." Students observe numbers in expanded form and place representative digits in the correct order.

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