Lesson Plan
EngageNY

The Mean as a Balance Point

For Teachers 6th Standards
It's a balancing act! Pupils balance pennies on a ruler to create a physical representation of a dot plot. The scholars then find the distances of the data points from the balance point, the mean.
Lesson Plan
EngageNY

Relationships Between Two Numerical Variables

For Teachers 9th - 10th Standards
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
Lesson Plan
EngageNY

Summarizing Bivariate Categorical Data with Relative Frequencies

For Teachers 9th - 10th Standards
It is hard to determine whether there is a relationship with the categorical data, because the numbers are so different. Working with a familiar two-way table on super powers, the class determines relative frequencies for each...
Lesson Plan
EngageNY

Analyzing Data Collected on Two Variables

For Teachers 9th - 10th Standards
Assign an interactive poster activity to assess your class's knowledge and skill concerning data analysis. The teacher reference provides solid questions to ask individuals or groups as they complete their posters.
Lesson Plan
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EngageNY

The Special Role of Zero in Factoring

For Students 10th - 12th Standards
Use everything you know about quadratic equations to solve polynomial equations! Learners apply the Zero Product Property to factor and solve polynomial equations. They make a direct connection to methods they have used with quadratic...
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
EngageNY

A Focus on Square Roots

For Students 10th - 12th Standards
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions. 
Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Lesson Plan
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EngageNY

Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 
Lesson Plan
EngageNY

Graphing the Sine and Cosine Functions

For Students 10th - 12th Standards
Doing is more effective than watching. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. As they measure lengths on the unit circle and transfer them to a...
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

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...
Lesson Plan
EngageNY

Sampling Variability in the Sample Proportion (part 1)

For Students 10th - 12th Standards
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
Lesson Plan
EngageNY

Sampling Variability in the Sample Mean (part 2)

For Students 10th - 12th Standards
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
Lesson Plan
EngageNY

Ruling Out Chance (part 3)

For Students 10th - 12th Standards
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison. 
Lesson Plan
EngageNY

Solving Logarithmic Equations

For Teachers 10th - 12th Standards
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
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...
Lesson Plan
EngageNY

The Mathematics Behind a Structured Savings Plan

For Teachers 10th - 12th Standards
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
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

Exploiting the Connection to Trigonometry 2

For Teachers 11th - 12th Standards
The class checks to see if the formula for finding powers of a complex number works to find the roots too.  Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
Lesson Plan
EngageNY

Directed Line Segments and Vectors

For Teachers 11th - 12th Standards
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
Lesson Plan
EngageNY

The Graph of a Function

For Teachers 9th - 10th Standards
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Lesson Plan
EngageNY

Making Fair Decisions

For Teachers 11th - 12th Standards
Life's not fair, but decisions can be. The 17th installment of a 21-part module teaches learners about fair decisions. They use simulations to develop strategies to make fair decisions.
Lesson Plan
EngageNY

Fair Games

For Teachers 11th - 12th Standards
What constitutes a fair game? Scholars learn about fair games and analyze some to see if they are fair. They extend this idea to warranties and other contexts.