Lesson Plan
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
Lesson Plan
EngageNY

Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 1)

For Students 10th - 12th Standards
Being a statistician means never having to say you're certain! Learners develop two-way frequency tables and calculate conditional and independent probabilities. They understand probability as a method of making a prediction. 
Lesson Plan
EngageNY

Solve for Unknown Angles—Angles and Lines at a Point

For Teachers 9th - 10th Standards
How do you solve for an unknown angle? In this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
Lesson Plan
EngageNY

Modeling an Invasive Species Population

For Students 9th - 10th Standards
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 
Lesson Plan
EngageNY

Solution Sets to Inequalities with Two Variables

For Students 9th - 10th Standards
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and...
Lesson Plan
EngageNY

Transformations of the Graphs of Logarithmic and Exponential Functions

For Teachers 10th - 12th Standards
Transform your instructional activity on transformations. Scholars investigate transformations, with particular emphasis on translations and dilations of the graphs of logarithmic and exponential functions. As part of this investigation,...
Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
Lesson Plan
EngageNY

Buying a Car

For Teachers 10th - 12th Standards
Future car owners use geometric sums to calculate payments for a car loan in the 31st installment of a 35-part module. These same concepts provide the basis for calculating annuity payments.
Lesson Plan
EngageNY

An Appearance of Complex Numbers 1

For Teachers 11th - 12th Standards
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Lesson Plan
EngageNY

The Geometric Effect of Multiplying by a Reciprocal

For Teachers 11th - 12th Standards
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Lesson Plan
EngageNY

Newton’s Law of Cooling

For Students 9th - 10th Standards
As part of an investigation of transformations of exponential functions, class members use Newton's Law of Cooling as an exponential model to determine temperature based on varying aspects. The resource makes comparisons between...
Lesson Plan
EngageNY

Networks and Matrix Arithmetic

For Teachers 11th - 12th Standards
Doubling a network or combining two networks is quick and easy when utilizing matrices. Learners continue the network example in the second lesson of this series. They practice adding, subtracting, and multiplying matrices by a scalar...
Lesson Plan
EngageNY

Vectors and Translation Maps

For Teachers 11th - 12th Standards
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
Lesson Plan
EngageNY

Properties of Parallelograms

For Teachers 9th - 10th Standards
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
Lesson Plan
EngageNY

Correspondence and Transformations

For Teachers 9th - 10th Standards
Looking for a strategy to organize the information related to transformations? The materials ask pupils to identify a sequence of rigid transformations, identify corresponding angles and sides, and write a congruence statement. They...
Lesson Plan
EngageNY

The Converse of the Pythagorean Theorem

For Teachers 8th Standards
Is it a right triangle or not? Introduce scholars to the converse of the Pythagorean Theorem with a lesson that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with given...
Lesson Plan
EngageNY

Multiplication of Numbers in Exponential Form

For Teachers 8th Standards
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Lesson Plan
EngageNY

Numbers in Exponential Form Raised to a Power

For Teachers 8th Standards
Develop an understanding of the properties of exponents through this series of activities. This third lesson of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.
Lesson Plan
EngageNY

Population Problems

For Teachers 7th Standards
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups...
Lesson Plan
EngageNY

A Synthesis of Representations of Equivalent Ratio Collections

For Teachers 6th Standards
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
Lesson Plan
EngageNY

Least Common Multiple and Greatest Common Factor

For Students 6th Standards
Find the common denominator between prime factors, factor trees, and the distributive property. Scholars learn to find the least common multiple and greatest common factor of pairs of numbers. They rotate through stations to connect...
Lesson Plan
EngageNY

Comparing Integers and Other Rational Numbers

For Students 6th Standards
The ninth installment of a 21-part module has pupils compare integers and rational numbers in decimal and fraction form. They match stories to number lines and compare values in the stories.
Lesson Plan
EngageNY

Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation

For Teachers 6th Standards
What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...
Lesson Plan
EngageNY

End of Unit 2 Assessment: A Hosted Gallery Walk

For Teachers 6th Standards
Speak your mind. Scholars present their claims in groups of three. They use a presentation checklist as each member takes a turn. At the end of the lesson plan, pupils complete an End of Unit 2 Assessment: Presenting a Claim and Findings...

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