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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...
Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Lesson Plan
Curated OER

Using Multiplication to Solve Word Problems

For Teachers 5th - 6th
Learners explore math functions by solving word problems in class. In this multiplication lesson, students utilize colored cubes and base blocks to visualize multiplication problems. Learners identify the multiplication values within...
Lesson Plan
Curated OER

Cool Tools to Solve Challenging Word Problems

For Teachers 3rd - 5th
Students explore math functions by completing worksheets in class. In this word problem lesson, students read the story A Remainder of One and practice solving division problems from the story. Students complete a worksheet which...
Lesson Plan
Curated OER

Speed

For Teachers 5th - 7th
Students explore speed by calculating the average speed of several snowmobiles, and predicting which of them is the fastest. They watch a race to verify their calculations.
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

Matrix Analysis of Networks

For Teachers 9th - 11th
  Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a...
Lesson Plan
Curated OER

Water Usage and Conservation

For Teachers 6th - 8th
Middle schoolers investigate water usage at school and at home. They use graphs and tables to evaluate water usage. Students describe possible water conservation measures. They use graphs and tables to relate data as part of a written...
Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 12th
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
Lesson Plan
Curated OER

The Energy Trail

For Teachers 5th - 10th
Students examine the relationship between the products they use and energy use. Using the internet, they identify the role that manufacturing plays in using energy and the emissions that change the climate. They discover the steps to...
Lesson Plan
Curated OER

Chemical Reactions

For Teachers 9th - 11th
Students work in groups to define chemistry vocabulary including the terms reactants, products, exothermic and endothermic. They then combine the group definitions to arrive at a consensus definition for the class. Students also listen...
Lesson Plan
Curated OER

Conditional Probability and Probability of Simultaneous Events

For Teachers 7th - 9th
Your statisticians examine the characteristics of conditional probability and the probability of simultaneous independent events. They perform computer activities to find probabilities for simple compound events. They examine the...
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

Metric Cookies

For Teachers 6th
Sixth graders convert English to Metric units.  In this converting English to Metric units instructional activity, 6th graders convert a cookie recipe in English units to Metric units.  Students write a letter to a pen pal in...
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

Matrix Operations

For Teachers 9th - 10th
Students solve problems using matrices. In this algebra lesson, students add, subtract and multiply matrices. They use the graphing calculator to simplify and graph linear equations.
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.