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EngageNY

Solving Basic One-Variable Quadratic Equations

For Students 9th - 10th Standards
Help pupils to determine whether using square roots is the method of choice when solving quadratic equations by presenting a lesson that begins with a dropped object example and asks for a solution. This introduction to solving by...
Lesson Plan
1
1
EngageNY

Using the Quadratic Formula

For Students 9th - 10th Standards
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
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 instructional activity connects transformations to the vertex form of a quadratic equation. 
Lesson Plan
EngageNY

Interpreting the Graph of a Function

For Students 9th - 10th Standards
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...
Lesson Plan
EngageNY

Linear and Exponential Models—Comparing Growth Rates

For Students 9th - 10th Standards
Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...
Lesson Plan
EngageNY

The Graph of the Equation y = f(x)

For Students 9th - 10th Standards
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
Lesson Plan
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EngageNY

Multiplying Polynomials

For Teachers 9th - 10th Standards
There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This lesson approaches multiplying polynomials from all angles. Build...
Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (module 1)

For Students 9th - 10th Standards
Looking for performance tasks to incorporate into your units? With its flexibility, this resource is sure to fit your teaching needs. Use this module as a complete assessment of graphing linear scenarios and polynomial operations, or...
Lesson Plan
1
1
EngageNY

True and False Equations

For Students 9th - 10th Standards
What does English have to do with math? Teach your class the "grammar" of a number sentence. Sentences with correct grammar can be false! Understanding of a number sentence leads to a comparison with equations.
Lesson Plan
1
1
EngageNY

Solution Sets for Equations and Inequalities

For Students 9th - 10th Standards
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
Lesson Plan
EngageNY

Solving Equations

For Students 9th - 10th Standards
Teach solving equations through an exploration of properties. Before pupils solve equations they manipulate them to produce equivalent equations. The activity switches the focus from finding a solution to applying properties correctly.
Lesson Plan
EngageNY

Some Potential Dangers When Solving Equations

For Students 9th - 10th Standards
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...
Lesson Plan
1
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EngageNY

Solving Inequalities

For Students 9th - 10th Standards
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Lesson Plan
1
1
EngageNY

Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or”

For Students 9th - 10th Standards
English and math have more in common than you think. Make a connection between a compound sentence and a compound inequality with an activity that teaches learners the difference between an "and" and "or" inequality through solutions...
Lesson Plan
EngageNY

Solving and Graphing Inequalities Joined by “And” or “Or”

For Students 9th - 10th Standards
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the...
Lesson Plan
EngageNY

Equations Involving Factored Expressions

For Students 9th - 10th Standards
Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...
Lesson Plan
EngageNY

Grade 9 ELA Module 3, Unit 3, Lesson 1

For Teachers 9th Standards
The opening exercise in this instructional unit introduces class members to the writing process they will follow to craft an informative, expository research paper that addresses their research question. To begin, writers are asked to...
Lesson Plan
EngageNY

Grade 9 ELA Module 3, Unit 3, Lesson 2

For Teachers 9th Standards
After a peer review of their outlines, class members examine a model of an effective, engaging introduction and then craft the first draft of the introduction to their research paper.
Lesson Plan
EngageNY

Grade 9 ELA Module 3, Unit 3, Lesson 3

For Teachers 9th Standards
Plagiarism is the theft of intellectual property. To avoid this crime, class members learn how to create a works cited page and how to craft in-text citations. After examining a high-performance model paragraph and an example of a works...
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 that covers sequence notation and function notation. Graphs are used to represent the number patterns.
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...
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
1
1
EngageNY

Rearranging Formulas

For Students 9th - 10th Standards
Model for your learners that if they can solve an equation, they can rearrange a formula with a well-planned lesson plan that has plenty of built-in practice. As the lesson plan progresses the content gets progressively more...
Lesson Plan
EngageNY

Solution Sets to Equations with Two Variables

For Students 9th - 10th Standards
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...

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