Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 3)

For Students 9th - 10th Standards
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
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
EngageNY

Integer Sequences—Should You Believe in Patterns?

For Students 9th - 10th Standards
Help your class discover possible patterns in a sequence of numbers and then write an equation with a lesson plan that covers sequence notation and function notation. Graphs are used to represent the number patterns.
Lesson Plan
EngageNY

Building Logarithmic Tables

For Teachers 9th - 12th Standards
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson plan has scholars use...
Lesson Plan
EngageNY

Federal Income Tax

For Students 9th - 10th Standards
Introduce your class to the federal tax system through an algebraic lens. This resource asks pupils to examine the variable structure of the tax system based on income. Young accountants use equations, expressions, and inequalities to...
Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson plan on relationships between two numerical...
Lesson Plan
EngageNY

Solving Radical Equations

For Students 10th - 12th Standards
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
Lesson Plan
EngageNY

Drawing a Conclusion from an Experiment (part 2)

For Students 10th - 12th Standards
Communicating results is just as important as getting results! Learners create a poster to highlight their findings in the experiment conducted in the previous lesson plan in a 30-part series. The resource provides specific criteria and...
Lesson Plan
EngageNY

Modeling with Exponential Functions

For Teachers 10th - 12th Standards
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This lesson plan examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs...
Lesson Plan
Curated OER

Systems of Equations and Real Life

For Teachers 9th - 12th
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Lesson Plan
EngageNY

Comparing Distributions

For Teachers 9th - 10th Standards
Data distributions can be compared in terms of center, variability, and shape. Two exploratory challenges present data in two different displays to compare. The displays of histograms and box plots require different comparisons based...
Lesson Plan
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EngageNY

The Remainder Theorem

For Students 10th - 12th Standards
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
Lesson Plan
EngageNY

Using Sample Data to Estimate a Population Characteristic

For Students 10th - 12th Standards
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The lesson explores the meaning of a population versus a sample and how to interpret the...
Lesson Plan
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EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
Lesson Plan
EngageNY

The Most Important Property of Logarithms

For Teachers 9th - 12th Standards
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
Lesson Plan
Curated OER

Systems of Equations and Inequalities

For Teachers 8th - 12th Standards
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
Lesson Plan
West Contra Costa Unified School District

Connecting Fractions and Rational Expressions

For Teachers 8th - 10th Standards
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
Lesson Plan
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
Lesson Plan
EngageNY

Why Do Banks Pay YOU to Provide Their Services?

For Students 9th - 10th Standards
How does a bank make money? That is the question at the based of a lesson that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest pattern. 
Lesson Plan
EngageNY

Graphs of Exponential Functions and Logarithmic Functions

For Teachers 10th - 12th Standards
Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...
Lesson Plan
EngageNY

The Inverse Relationship Between Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
Lesson Plan
EngageNY

Solving Exponential Equations

For Teachers 10th - 12th Standards
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...

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