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Lesson Plan
EngageNY

An Application of Linear Equations

For Teachers 8th Standards
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more accessible...
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Lesson Plan
EngageNY

The Graph of a Linear Equation in Two Variables

For Teachers 8th Standards
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
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Lesson Plan
EngageNY

Fundamental Theorem of Similarity (FTS)

For Teachers 8th Standards
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line segments are...
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Lesson Plan
EngageNY

Informal Proofs of Properties of Dilations

For Teachers 8th Standards
Challenge the class to prove that the dilation properties always hold. The lesson develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member performing the...
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Lesson Plan
EngageNY

First Consequences of FTS

For Teachers 8th Standards
Challenge the young mathematicians to find the exact coordinates of a dilated point. The fifth segment in a 16-part series introduces the class to the converse of the Fundamental Theorem of Similarity. Scholars use the theorem to find...
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Lesson Plan
EngageNY

Informal Proof of AA Criterion for Similarity

For Teachers 8th Standards
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
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Lesson Plan
EngageNY

Proof of the Pythagorean Theorem

For Teachers 8th Standards
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
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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...
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Lesson Plan
EngageNY

Exponential Notation

For Students 8th Standards
Exponentially increase your pupils' understanding of exponents with an activity that asks them to explore the meaning of exponential notation. Scholars learn how to use exponential notation and understand its necessity. They use negative...
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Lesson Plan
EngageNY

Informally Fitting a Line

For Teachers 8th Standards
Discover how trend lines can be useful in understanding relationships between variables with a lesson that covers how to informally fit a trend line to model a relationship given in a scatter plot. Scholars use the trend line to make...
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Lesson Plan
EngageNY

Determining the Equation of a Line Fit to Data

For Teachers 8th Standards
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
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Lesson Plan
EngageNY

Numbers Raised to the Zeroth Power

For Teachers 8th Standards
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...
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Lesson Plan
EngageNY

Negative Exponents and the Laws of Exponents

For Teachers 8th Standards
Apply the properties of exponents to expressions with negative exponents. The fifth lesson in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the series....
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Lesson Plan
EngageNY

Proofs of Laws of Exponents

For Teachers 8th Standards
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
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Lesson Plan
EngageNY

Interpreting Rate of Change and Initial Value

For Teachers 8th Standards
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
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Lesson Plan
EngageNY

Magnitude

For Students 8th Standards
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.
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Lesson Plan
EngageNY

Operations with Numbers in Scientific Notation

For Teachers 8th Standards
Demonstrate the use of scientific notation within word problems. The lesson plan presents problems with large numbers best represented with scientific notation. Pupils use these numbers to solve the problems in the 11th installment in a...
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Lesson Plan
EngageNY

Association Between Categorical Variables

For Teachers 8th Standards
Investigate associations between variables with two-way tables. Scholars continue their study of two-way tables and categorical variables in the 15th installment of a 21-part module. The lesson plan challenges them to calculate relative...
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Lesson Plan
EngageNY

Choice of Unit

For Students 8th Standards
Explore using units with scientific notation to communicate numbers effectively. Individuals choose appropriate units to express numbers in a real-life situation. For this 13th lesson of 15, participants convert numbers in scientific...
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Lesson Plan
EngageNY

Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology

For Students 8th Standards
Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...
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Lesson Plan
EngageNY

Writing Equations Using Symbols

For Teachers 8th Standards
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples provide...
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Lesson Plan
EngageNY

Linear Equations in x

For Teachers 8th Standards
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
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Lesson Plan
EngageNY

Linear Equations in Disguise

For Teachers 8th Standards
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
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Lesson Plan
EngageNY

Translating Lines

For Students 8th Standards
Define parallel lines through transformations. The third lesson of 18 examines the result of the translation of a line. Two possible outcomes include coinciding lines and parallel lines.