Lesson Plan
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EngageNY

Multiplying and Dividing Rational Expressions

For Students 10th - 12th Standards
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions. 
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Worksheet
Curated OER

Worksheet 3.1 Functions

For Students 8th - 11th Standards
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Lesson Plan
Curated OER

Graphs and Functions

For Teachers 7th - 9th Standards
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Activity
Education Development Center

Creating a Polynomial Function to Fit a Table

For Students 9th - 10th Standards
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Lesson Plan
West Contra Costa Unified School District

Writing Exponential Functions Based on Data

For Students 9th - 12th Standards
Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...
Lesson Plan
EngageNY

Recursive Formulas for Sequences

For Students 9th - 10th Standards
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of...
Unit Plan
National Security Agency

Growing Patterns: Practical Pattern Problems

For Teachers 4th - 5th Standards
Your learners explore growing patterns by describing, extending, creating, and evaluating practical pattern problems in this three-day collaborative unit. Beginning with concrete patterns and function tables to extend and...
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Lesson Plan
Curated OER

Exploring Solving Equations

For Teachers 8th - 11th Standards
Put out by Texas Instruments, this lesson involves learners in an activity focused on adding polynomials, solving equations, factoring trinomials, and expanding binomials. A TI-89 calculator is needed to complete this lesson.
Lesson Plan
Bowland

AstroZoo

For Teachers 6th - 9th
Rescue animals in the zoo by applying math concepts. Groups of learners solve three missions involving oxygen, food, and climate control. Each group selects an animal from one of four bio-domes.
Lesson Plan
Mathalicious

Three Shots

For Teachers 9th - 12th Standards
To foul or not to foul, that is the basketball question. High schoolers look at the probability that fouling out a player and allowing free throws yields a better outcome than allowing the original shot. The resource provides a...
Lesson Plan
Curated OER

Equivalent Algebraic Equations

For Teachers 9th
Ninth graders explore linear equations.  In this Algebra I lesson, 9th graders investigate how different equivalent equations can be used to describe any given line.  Students explore how to change equations to equivalents...
Lesson Plan
Curated OER

Introduction to Functions

For Teachers 7th - 9th
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Unit Plan
Mathematics Vision Project

Quadratic Functions

For Teachers 10th - 12th Standards
Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...
Lesson Plan
Education Development Center

Logic of Fractions

For Teachers 6th - 9th Standards
Before diving into operations with fractions, learners discover the foundation of fractions and how they interact with one another. Exactly as the title says, logic of fractions is the main goal of a resource that shows pupils how...
Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Lesson Plan
Virginia Department of Education

Greetings

For Teachers 6th - 9th Standards
Welcome learners to the world of algebra. Use a lesson that poses a situation involving the profit from creating greeting cards to teach about algebra. It requires scholars to use linear functions and inequalities to solve problems.
Activity
Illustrative Mathematics

Reasoning about Multiplication

For Teachers 4th - 6th Standards
In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is...
Activity
Curated OER

Logistic Growth Model, Explicit Version

For Teachers 9th - 12th Standards
Via the concrete setting of estimating the population of the US, your algebra learners are introduced to a logistic growth model. Comparing and contrasting logistic, exponential, linear and quadratic models, to see which fits the data...
Lesson Plan
Curated OER

Rules of Sign Change

For Teachers 7th - 8th
Students manipulate negative and positive numbers. In this integers lesson, students move through three activities exploring negative and positive whole numbers. A number line, cardboard function representation, and solving expressions...
Lesson Plan
Curated OER

Operations on Polynomials

For Teachers 9th - 11th
Students simplify and reduce polynomials. In this algebra lesson, students find the sum, difference, product and quotient of polynomials and monomials. They use the order of operation correctly.
Lesson Plan
Curated OER

Investigation-How Many Toothpicks?

For Teachers 7th
Seventh graders use toothpicks to investigate a series of designs and identify patterns. Data is organized and analyzed using tables and graphs, and students make generalizations using algebraic expressions.
Lesson Plan
Curated OER

Mine Shaft Grade 8 Slope

For Teachers 8th
Eighth graders investigate slopes using real life scenario. In this algebra lesson plan, 8th graders model and interpret real life data. They plot their data in a coordinate plane and discuss the results with the class.