EngageNY
Converting Repeating Decimals to Fractions
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 reinforce...
Curated OER
Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Curated OER
Living the "Good" Life
High schoolers examine quality of life. Students will explore resources that prompt discussion and reflection concerning the purpose, meaning and quality of living their lives.
Curated OER
Speaking Parametrically
Students solve equations by taking the derivative. In this calculus lesson, students solve parametric equations implicitly. They use the TI-calculator to graph their equations.
Curated OER
Where is Shirley the Elephant?
Young animal lovers engage in a lesson that's all about elephants. They access an elephant sanctuary website and read a story about Shirley the elephant. They perform a series of activities based upon that story, and also study about the...
Curated OER
Don't Call Me A Pig
First graders explore wildlife and habitats in the Arizona desert. Throughout a classroom discussion, 1st graders observe pictures of the desert and animals that live there. As they go on a nature walk around the school, students...
Curated OER
Fighting Corrosion to Save an Ancient Greek Bronze
Study corrosion on bronze statues with a hands-on lesson. As pupils place a penny in water with salt, they observe the changes in the penny throughout a period of a week. They then analyze the pre-conservation and the post-conservation...
Curated OER
Dragonwings: Evaluate Chapters 10-12
As your class finishes the novel Dragonwings, use these culminating projects. A vocabulary list is given for chapters eleven and twelve and either an epitaph or letter activity concludes the book. The final project consists of creating a...
EngageNY
Evaluating Reports Based on Data from a Sample
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...
EngageNY
Matrix Arithmetic in Its Own Right
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...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
EngageNY
Fair Games
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.
EngageNY
Association Between Categorical Variables
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...
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
EngageNY
Probability Distribution of a Discrete Random Variable
Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth activity in a series of 15. The examples...
EngageNY
Magnitude
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh lesson of 15.
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th instructional activity in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must...
EngageNY
Analyzing Graphs—Water Usage During a Typical Day at School
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson emphasizes units and labels of...
EngageNY
Using Trigonometry to Determine Area
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
EngageNY
Finding Systems of Inequalities That Describe Triangular and Rectangular Regions
How do you build a polygon from an inequality? An engaging lesson challenges pupils to do just that. Building from the previous lesson in this series, learners write systems of inequalities to model rectangles, triangles, and even...
EngageNY
Circles, Chords, Diameters, and Their Relationships
A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords...
EngageNY
The Division of Polynomials
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.