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EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
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EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
Lesson Plan
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
Lesson Plan
EngageNY

Chance Experiments, Sample Spaces, and Events

For Students 10th - 12th Standards
Want a leg up on the competition? Show classes how to use mathematics to their advantage when playing games. Learners calculate probabilities to determine a reasonable scoring strategy for a game. 
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

Events and Venn Diagrams

For Students 10th - 12th Standards
Time for statistics and learning to overlap! Learners examine Venn Diagrams as a means to organize data. They then use the diagrams to calculate simple and compound probabilities.
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

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

Ruling Out Chance (part 3)

For Students 10th - 12th Standards
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison. 
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 instructional activity in a 30-part series. The resource provides specific...
Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
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 plan in a 26-part series focuses on horizontal...
Lesson Plan
EngageNY

Piecewise and Step Functions in Context

For Students 9th - 10th Standards
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase...
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

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 activity 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

Base 10 and Scientific Notation

For Teachers 9th - 12th Standards
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific...