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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.
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Lesson Plan
EngageNY

Describing the Center of a Distribution Using the Mean

For Teachers 6th Standards
Everyone does their fair share. The sixth segment in a 22-part unit presents the mean as a fair share. Groups build a conceptual understanding of the mean of a data set, rather than simply learn an algorithm. Learners use the...
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Lesson Plan
EngageNY

Successive Differences in Polynomials

For Students 10th - 12th Standards
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 1)

For Students 10th - 12th Standards
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
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Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 5)

For Teachers 9th - 10th Standards
This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions. 
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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...
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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 activity that has plenty of built-in practice. As the activity progresses the content gets progressively more challenging.
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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

Conversion Between Celsius and Fahrenheit

For Teachers 8th Standards
Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...
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Lesson Plan
EngageNY

Some Facts About Graphs of Linear Equations in Two Variables

For Teachers 8th Standards
Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
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Lesson Plan
EngageNY

Linear Functions and Proportionality

For Students 8th Standards
Connect linear equations, proportionality, and constant rates of change to linear functions. Young mathematicians learn how linear equations of the form y = mx + b can represent linear functions. They then explore examples of linear...
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Lesson Plan
EngageNY

More Division Stories

For Teachers 6th Standards
Don't part with a resource on partitive division. Continuing along the lines of the previous activity, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units...
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Lesson Plan
EngageNY

Understanding Box Plots

For Teachers 6th Standards
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries. 
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Lesson Plan
EngageNY

Distributions and Their Shapes

For Teachers 9th - 10th Standards
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory instructional activity...
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Lesson Plan
EngageNY

Measuring Variability for Skewed Distributions (Interquartile Range)

For Teachers 9th - 10th Standards
Should the standard deviation be used for all distributions? Pupils know that the median is a better description of the center for skewed distributions; therefore, they will need a variability measure about the median for those...
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Lesson Plan
1
1
EngageNY

More on Modeling Relationships with a Line

For Teachers 9th - 10th Standards
How do you create a residual plot? Work as a class and in small groups through the activity in order to learn how to build a residual plot. The activity builds upon previous learning on calculating residuals and serves as a precursor to...
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Lesson Plan
EngageNY

Conditional Relative Frequencies and Association

For Teachers 9th - 10th Standards
It is all relative, or is it all conditional? Using an exploration method, the class determines whether there is an association between gender and superpower wish through the use of calculating conditional relative frequencies. The last...
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Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
Working in small groups and in pairs, classmates build an understanding of what types of relationships can be used to model individual scatter plots. The nonlinear scatter plots in this lesson on relationships between two numerical...
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Lesson Plan
EngageNY

Analyzing Graphs—Water Usage During a Typical Day at School

For Students 9th - 10th Standards
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson emphasizes units and labels of...
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Lesson Plan
EngageNY

Graphs of Piecewise Linear Functions

For Students 9th - 10th Standards
Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...
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Lesson Plan
EngageNY

How Do 3D Printers Work?

For Teachers 9th - 10th Standards
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
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Lesson Plan
EngageNY

Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 2)

For Students 10th - 12th Standards
Without data, all you are is another person with an opinion. Show learners the power of statistics and probability in making conclusions and predictions. Using two-way frequency tables, learners determine independence by analyzing...
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Lesson Plan
1
1
EngageNY

Properties of Exponents and Radicals

For Teachers 9th - 12th Standards
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
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Lesson Plan
1
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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 square...