Lesson Plan
EngageNY

Solving Percent Problems II

For Teachers 6th Standards
Fill in the blanks to find the best discount! Groups complete a table of amounts and percents associated with sale items. Classmates then find the original cost, sale cost, discount amount, paid percent, or the discount percent...
Lesson Plan
EngageNY

The Relationship of Multiplication and Division

For Teachers 6th Standards
Take any number, multiply it by five, and then divide by five. Did you end up with the original number? In the same vein as the previous lesson, pupils discover the relationship between multiplication and division. They develop the...
Lesson Plan
EngageNY

Perimeter and Area of Triangles in the Cartesian Plane

For Students 9th - 12th Standards
Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...
Lesson Plan
EngageNY

Comparing Methods—Long Division, Again?

For Students 10th - 12th Standards
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Lesson Plan
EngageNY

The Power of Algebra—Finding Pythagorean Triples

For Students 10th - 12th Standards
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity. 
Lesson Plan
EngageNY

Word Problems Leading to Rational Equations

For Students 10th - 12th Standards
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
Lesson Plan
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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 instructional activity, pupils learn algebraic methods of solving the systems. 
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 activity. 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

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 in a 30-part series. The resource provides specific criteria and...
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

Euler’s Number, e

For Teachers 9th - 12th Standards
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number. 
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

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

Distance and Complex Numbers 2

For Teachers 11th - 12th Standards
Classmates apply midpoint concepts by leapfrogging around the complex plane. The 12th lesson in a 32 segment unit, asks pupils to apply distances and midpoints in relationship to two complex numbers. The class develops a formula to find...
Lesson Plan
EngageNY

Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways

For Students 9th - 10th Standards
Need a real scenario to compare functions? This lesson plan has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.