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
Curated OER

The Battle for Ultimate Power

For Teachers 6th - 8th
Students gain an understanding of how the powers of 10 and scientific notation can be used to represent the scale of things in the universe. They relate the number of stars in the universe to the number of grains of sand on Earth's beaches.
Lesson Plan
Curated OER

Our Solar System - Comparing Planetary Travel Distances

For Teachers 7th - 8th
NASA presents a mini-unit on distances in our solar system. It incorporates scientific concepts of gravity, mass, density, and payload while your aspiring astronauts also employ mathematics skills. They calculate speed, they determine...
Lesson Plan
Curated OER

Math On the Job

For Teachers 9th - 12th
Investigate different types of math required for specific jobs. In this math in occupations lesson plan, use the Internet to research  what type of math one might need to know in order to be successful in different jobs. Complete a...
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

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

Sampling Variability

For Teachers 7th Standards
Work it out — find the average time clients spend at a gym. Pupils use a table of random digits to collect a sample of times fitness buffs are working out. The scholars use their random sample to calculate an estimate of the mean of the...
Activity
Curated OER

Tale of the Tape

For Teachers 9th - 12th Standards
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Lesson Plan
EngageNY

Interpreting Expected Value

For Teachers 11th - 12th Standards
Investigate expected value as a long-run average. The eighth installment of a 21-part module has scholars rolling pairs of dice to determine the average sum. They find aggregate data by working in groups and interpret expected value as...
Lesson Plan
EngageNY

Fluency with Percents

For Teachers 7th Standards
Pupils build confidence working with percents as they work several types of percent problems to increase their fluency. The resource contains two sets of problems specifically designed to build efficiency in finding solutions of basic...
Lesson Plan
EngageNY

The Mean Absolute Deviation (MAD)

For Teachers 6th Standards
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean...
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...
Lesson Plan
EngageNY

Distance and Complex Numbers 1

For Teachers 11th - 12th Standards
To work through the complexity of coordinate geometry pupils make the connection between the coordinate plane and the complex plane as they plot complex numbers in the 11th part of a series of 32. Making the connection between the two...
Lesson Plan
EngageNY

Determining Discrete Probability Distributions 1

For Teachers 11th - 12th Standards
Learn how to determine a probability distribution. In the ninth installment of a 21-part module, future mathematicians use theoretical probabilities to develop probability distributions for a random variable. They then use these...
Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Lesson Plan
EngageNY

Discovering the Geometric Effect of Complex Multiplication

For Teachers 11th - 12th Standards
Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit...
Lesson Plan
Curated OER

Ratios And Scale

For Teachers 9th - 12th
students investigate the concept of using a ratio in the work of construction and solve problems using real life applications. They read descriptions of how various types of construction professionals use ratios on the job. The lesson...
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. 
Activity
Curated OER

Sunrise, Sunset

For Teachers 10th - 12th Standards
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
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

Another Computational Model of Solving a Linear System

For Teachers 8th Standards
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Lesson Plan
EngageNY

Systems of Equations Leading to Pythagorean Triples

For Teachers 8th Standards
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
Lesson Plan
EngageNY

Changing Scales

For Teachers 7th Standards
Pupils determine scale factors from one figure to another and the scale factor in the reverse direction. Scholars compute the percent changes between three figures.