Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units II

For Students 6th Standards
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
Lesson Plan
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EngageNY

Interpreting Residuals from a Line

For Teachers 9th - 10th Standards
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
Lesson Plan
EngageNY

Games of Chance and Expected Value 1

For Teachers 11th - 12th Standards
There's a strong chance that class members enjoy learning math through engaging games. Scholars analyze games of chance to determine long-term behavior. They learn to calculate expected value to help with this assessment.
Lesson Plan
EngageNY

Populations, Samples, and Generalizing from a Sample to a Population

For Teachers 7th Standards
Determine the difference between a sample statistic and a population characteristic. Pupils learn about populations and samples in the 14th portion in a unit of 25. Individuals calculate information directly from populations called...
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Proportion (part 1)

For Students 10th - 12th Standards
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 1

For Teachers 11th - 12th Standards
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Lesson Plan
EngageNY

Interpreting Correlation

For Teachers 9th - 10th Standards
Is 0.56 stronger than -0.78? Interpret the correlation coefficient as the strength and direction of a linear relationship between two variables. An algebra lesson introduces the correlation coefficient by estimating and then...
Lesson Plan
EngageNY

The Computation of the Slope of a Non-Vertical Line

For Teachers 8th Standards
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
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 challenges them to calculate relative...
Lesson Plan
EngageNY

Summarizing Bivariate Categorical Data in a Two-Way Table

For Students 8th Standards
Be sure to look both ways when making a two-way table. In the instructional activity, scholars learn to create two-way tables to display bivariate data. They calculate relative frequencies to answer questions of interest in the 14th part...
Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
Lesson Plan
EngageNY

Expected Value of a Discrete Random Variable

For Teachers 11th - 12th Standards
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
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 plan that also provides a proof by contradiction of the converse. Pupils use the converse to determine whether triangles with...
Assessment
EngageNY

Mid-Module Assessment Task: Grade 8 Module 6

For Students 8th Standards
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
Lesson Plan
EngageNY

Describing Distributions Using the Mean and MAD

For Teachers 6th Standards
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th lesson plan in the 22-part series asks learners...
Lesson Plan
EngageNY

Probability Rules (part 2)

For Students 10th - 12th Standards
Ensure your pupils are rule followers! Learners add the addition rule to the set of probability rules examined in the previous lesson. Problems require both the multiplication and addition rule.
Lesson Plan
EngageNY

Using a Curve to Model a Data Distribution

For Teachers 9th - 12th Standards
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
Lesson Plan
EngageNY

Graphs of Simple Nonlinear Functions

For Teachers 8th Standards
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
Lesson Plan
EngageNY

Converting Repeating Decimals to Fractions

For Students 8th Standards
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps...
Lesson Plan
EngageNY

Searching a Region in the Plane

For Students 9th - 12th Standards
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Lesson Plan
EngageNY

Why Are Vectors Useful? 1

For Teachers 11th - 12th Standards
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...
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...
Lesson Plan
EngageNY

Volumes of Familiar Solids – Cones and Cylinders

For Teachers 8th Standards
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
Lesson Plan
EngageNY

Sums and Differences of Decimals

For Students 6th Standards
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...