Lesson Plan
EngageNY

Distributions—Center, Shape, and Spread

For Students 10th - 12th Standards
Data starts to tell a story when it takes shape. Learners describe skewed and symmetric data. They then use the graphs to estimate mean and standard deviation. 
Organizer
Arizona Department of Education

Be Independent / Life Management Skills

For Teachers 9th - 12th
Living independently is about more than managing money. Learn how to manage time, balance responsibilities, and calculate overtime and income with a set of activities about life management skills.
Lesson Plan
West Contra Costa Unified School District

Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Lesson Plan
EngageNY

Why Were Logarithms Developed?

For Teachers 10th - 12th Standards
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Lesson Plan
EngageNY

Counting Rules—The Fundamental Counting Principle and Permutations

For Teachers 11th - 12th Standards
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 1

For Teachers 11th - 12th Standards
In the first of a two-day instructional activity 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...
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

Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
Lesson Plan
EngageNY

Solve for Unknown Angles—Angles in a Triangle

For Teachers 9th - 10th Standards
Assist your class with each angle of geometry as they use exterior angles to form linear pairs with adjacent interior angles. They cover multiple vocabulary terms and work practice problems, complete with justifications, before...
Lesson Plan
EngageNY

Ruling Out Chance (part 1)

For Students 10th - 12th Standards
What are the chances? Teach your classes to answer this question using mathematics. The first part of a three-day lesson on determining significance differences in experimental data prompts learners to analyze the data by...
Lesson Plan
EngageNY

Matrix Arithmetic in Its Own Right

For Teachers 11th - 12th Standards
Matrix multiplication can seem random to pupils. Here's a instructional activity that uses a real-life example situation to reinforce the purpose of matrix multiplication. Learners discover how to multiply matrices and relate the process...
Lesson Plan
EngageNY

Properties of Logarithms

For Teachers 10th - 12th Standards
Log the resource on logarithms for future use. Learners review and explore properties of logarithms and solve base 10 exponential equations in the 12th installment of a 35-part module. An emphasis on theoretical definitions and...
Lesson Plan
EngageNY

Vectors and Stone Bridges

For Teachers 11th - 12th Standards
What does it take to build a stable arch? Pupils apply vectors and physics as they examine arched bridges and their structural integrity. They use vectors to represent the forces acting on the stone sections and make conclusions based on...
Lesson Plan
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EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application...
Lesson Plan
EngageNY

The Most Important Property of Logarithms

For Teachers 9th - 12th Standards
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous instructional activity, using logarithm tables to develop properties....
Lesson Plan
EngageNY

Vectors in the Coordinate Plane

For Teachers 11th - 12th Standards
Examine the meaning and purpose of vectors. Use the lesson to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and interpret its...
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.
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

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...
Lesson Plan
EngageNY

Extending the Domain of Sine and Cosine to All Real Numbers

For Students 10th - 12th Standards
Round and round we go! Pupils use reference angles to evaluate common sine and cosine values of angles greater than 360 degrees. Once they have mastered the reference angle, learners repeat the process with negative angles.
Lesson Plan
EngageNY

Margin of Error When Estimating a Population Proportion (part 2)

For Students 10th - 12th Standards
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
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

Base 10 and Scientific Notation

For Teachers 9th - 12th Standards
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific...
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.