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Illustrative Mathematics

Egyptian Fractions II

For Teachers 8th - 12th Standards
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Interactive
CK-12 Foundation

Linear, Exponential, and Quadratic Models: Bernoulli Effect

For Students 10th - 12th Standards
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Horizontal and Vertical Translations

For Students 10th - 12th Standards
It is all about the shift. Pupils translate the graph of a cubic function to different marked locations on the plane and determine the new equation that represents the shifts. The activity is designed to encourage individuals begin...
Lesson Plan
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 8th - 11th
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 9th - 11th
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Lesson Plan
Curated OER

Synthetic Division Review

For Teachers 9th - 12th
In this synthetic division worksheet, students use synthetic division to divide a binomial. Explanations and examples are provided. This three-page worksheet contains ten problems, with answers.
Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Lesson Plan
Curated OER

Exponents - Week 1

For Teachers 10th - 12th
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Lesson Plan
Curated OER

Solving Algebraic Expressions

For Teachers 7th - 8th
Students simplify equations and expressions. In this algebra lesson, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
Worksheet
Curated OER

Adding and Subtracting Expressions

For Students 8th - 10th
In this algebra worksheet, students add and subtract expressions. They solve monomials and polynomials. There are 14 questions with an answer key.
Worksheet
Curated OER

Completing the Square

For Students 9th - 10th
In this polynomial worksheet, students complete the square of a given problem. Explanations and examples are provided. This two-page worksheet contains ten problems.
Lesson Plan
Curated OER

Graphing Nonlinear Equations

For Teachers 6th - 7th
Young scholars graph non-linear equations. In this algebra lesson, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
Lesson Plan
Curated OER

Mathematics Lesson for Grade 12

For Teachers 12th
Twelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains...
Worksheet
Curated OER

Pascal's Triangle

For Students 11th
For this algebra worksheet, 11th graders solve binomials and trinomials using Pascal's Triangle theorem. They are able to factor out  any amount of higher power without having to factor all the way. There are 3 problems.
Lesson Plan
West Contra Costa Unified School District

Lowest Common Multiple through the Grades

For Teachers 8th - 10th Standards
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day lesson will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The lesson contains powerpoint presentations, worksheets, and answer key.
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...
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...
Handout
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Chapman University

Fundamental Theorems of Mathematics

For Teachers 9th - Higher Ed
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...
Lesson Plan
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Virginia Department of Education

Exponents and Radicals

For Teachers 9th - 12th Standards
What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.
Lesson Plan
Virginia Department of Education

Rational Expressions

For Students 9th - 12th Standards
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions....
Lesson Plan
EngageNY

Graphing Quadratic Functions from Factored Form

For Students 9th - 10th Standards
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a instructional activity that makes a strong connection to the symmetry of the graph and its key features before...
Lesson Plan
Curated OER

Dividing Integer Powers

For Teachers 8th - 12th
Work on the concept of using division with integer powers. The skills of using exponents and multiplying powers should be in place before attempting this lesson. The lesson provides examples for the teacher to use for direct instruction.

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