Lesson Plan
EngageNY

Analyzing Graphs—Water Usage During a Typical Day at School

For Students 9th - 10th Standards
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The instructional activity...
Lesson Plan
1
1
EngageNY

Radicals and Conjugates

For Students 10th - 12th Standards
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
Lesson Plan
EngageNY

Probability Rules (part 2)

For Students 10th - 12th Standards
Ensure your pupils are rule followers! Learners add the addition rule to the set of probability rules examined in the previous lesson. Problems require both the multiplication and addition rule.
Lesson Plan
EngageNY

Normal Distributions (part 2)

For Students 10th - 12th Standards
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
Lesson Plan
EngageNY

Ruling Out Chance (part 2)

For Students 10th - 12th Standards
Help your classes find the significance in this lesson! Learners analyze the probability of Diff values. They then determine if the difference is significant based on their probability of occurrence. 
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 2)

For Teachers 9th - 10th Standards
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson in a 26-part series focuses on horizontal...
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 4)

For Students 9th - 10th Standards
What do you get when you cross piecewise functions with transformations?  An engaging instructional activity! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to...
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 1)

For Students 9th - 10th Standards
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Lesson Plan
EngageNY

Graphing Quadratic Equations from the Vertex Form

For Students 9th - 10th Standards
Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This lesson connects transformations to the vertex form of a quadratic equation. 
Lesson Plan
EngageNY

Solving Logarithmic Equations

For Teachers 10th - 12th Standards
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
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 lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...
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
1
1
West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II instructional activity guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made...
Lesson Plan
West Contra Costa Unified School District

Motion Problems

For Teachers 8th - 10th Standards
Let's hope class participants don't get motion sickness. In the lesson, class members first solve motion problems using tables and graphs. They then use algebraic techniques to solve motion problems.
Lesson Plan
1
1
EngageNY

Adding and Subtracting Polynomials

For Teachers 9th - 10th Standards
Need a unique approach to adding and subtracting polynomials? A helpful math lesson approaches the concept by relating polynomials to base 10. It encourages pupils to see each term as having a specific value, and therefore,...
Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Proportion (part 2)

For Students 10th - 12th Standards
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
Lesson Plan
EngageNY

Properties of Logarithms

For Teachers 10th - 12th Standards
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
Lesson Plan
EngageNY

One-Step Equations—Multiplication and Division

For Teachers 6th Standards
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
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

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Lesson Plan
Curated OER

Going Back to Your Roots

For Teachers 9th - Higher Ed Standards
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Lesson Plan
Curated OER

Equivalent or Not Equivalent?

For Teachers 9th - 12th Standards
Algebra learners look at equivalent expressions in the context of three different operations: division, squaring, and absolute value.  In comparing these values, they will identity when expressions are equivalent. 

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