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Lesson Plan
EngageNY

Evaluating Reports Based on Data from a Sample

For Students 10th - 12th Standards
Statistics can be manipulated to say what you want them to say. Teach your classes to be wise consumers and sort through the bias in those reports. Young statisticians study different statistical reports and analyze them for misleading...
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Lesson Plan
EngageNY

Experiments and the Role of Random Assignment

For Students 10th - 12th Standards
Time to experiment with mathematics! Learners study experimental design and how randomization applies. They emphasize the difference between random selection and random assignment and how both are important to the validation of the...
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Lesson Plan
EngageNY

Rational and Irrational Numbers

For Teachers 10th - 12th Standards
Back to the basics: learning how to add numbers. The 17th installment of a 35-part module first reviews addition techniques for rational numbers, such as graphical methods (number line) and numerical methods (standard algorithm). It goes...
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Lesson Plan
EngageNY

Graphing the Logarithmic Function

For Teachers 10th - 12th Standards
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
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Lesson Plan
EngageNY

The Graph of the Natural Logarithm Function

For Teachers 10th - 12th Standards
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
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Lesson Plan
EngageNY

Bean Counting

For Teachers 10th - 12th Standards
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
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Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Teachers 9th - 10th Standards
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
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Worksheet
Curated OER

Weighted Averages

For Students 8th - 11th Standards
Weighted averages can be tricky to explain! However, this study guide makes it easy for teachers by including definitions, explanations, and breaking down problems into three steps. Includes mixture problems and uniform motion problems.
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Lesson Plan
EngageNY

Measuring Variability for Symmetrical Distributions

For Teachers 9th - 10th Standards
How do we measure the deviation of data points from the mean? An enriching activity walks your class through the steps to calculate the standard deviation. Guiding questions connect the steps to the context, so the process is not about...
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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

Modeling Relationships with a Line

For Teachers 9th - 10th Standards
What linear equation will fit this data, and how close is it? Through discussion and partner work, young mathematicians learn the procedure to determine a regression line in order to make predictions from the data. 
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Lesson Plan
EngageNY

Summarizing Bivariate Categorical Data

For Teachers 9th - 10th Standards
How do you summarize data that cannot be averaged? Using an exploratory method, learners complete a two-way frequency table on super powers. The subject matter builds upon 8th grade knowledge of two-way tables. 
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Lesson Plan
EngageNY

Analyzing Residuals (Part 2)

For Teachers 9th - 10th Standards
Learn about patterns in residual plots with an informative math activity. Two examples make connections between the appearance of a residual plot and whether a linear model is the best model apparent. The problem set and exit ticket...
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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

Graphs of Quadratic Functions

For Students 9th - 10th Standards
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
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Lesson Plan
EngageNY

The Division of Polynomials

For Students 10th - 12th Standards
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
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Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
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Lesson Plan
1
1
EngageNY

Radicals and Conjugates

For Students 10th - 12th Standards
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson plan relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis...
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Lesson Plan
EngageNY

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
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Lesson Plan
2
2
EngageNY

Mastering Factoring

For Students 10th - 12th Standards
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes. 
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Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
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Lesson Plan
EngageNY

The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel. 
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Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
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Lesson Plan
EngageNY

Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.