Lesson Plan
EngageNY

Three-Dimensional Space

For Teachers 9th - 10th Standards
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...
AP Test Prep
College Board

2017 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
What is the answer to this question? Pupils use six questions to practice for the AP Calculus AB test. The review questions are divided in two sections, calculator and non-calculator. Additional resources allow teachers to determine how...
Lesson Plan
EngageNY

Summarizing a Data Distribution by Describing Center, Variability, and Shape

For Teachers 6th Standards
Put those numbers to work by completing a statistical study! Pupils finish the last two steps in a statistical study by summarizing data with displays and numerical summaries. Individuals use the summaries to answer the statistical...
Lesson Plan
EngageNY

Ratios II

For Teachers 6th Standards
Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios. 
Lesson Plan
EngageNY

Properties of Trigonometric Functions

For Teachers 11th - 12th Standards
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects...
Lesson Plan
EngageNY

Mid-Unit 1 Assessment: Human Rights Vocabulary and Common Prefixes

For Teachers 5th Standards
Here is a mid-unit assessment for a group of lessons studying the Universal Declaration of Human Rights (UDHR). The first half of this instructional activity calls for several forms of review. Your class will review the content of the...
Lesson Plan
1
1
EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
Assessment
Curated OER

2009 U.S. National Chemistry Olympiad National Exam - Part I

For Students 9th - 12th
The 2009 version of the first part of a national chemistry competition is posted for your use with olympiad hopefuls. Test takers deal with 60 multiple choice questions covering an entire year of chemistry curriculum. Use this to...
Assessment
Curated OER

2000 U.S. National Chemistry Olympiad National Exam - Part I

For Students 9th - 12th
The National Chemistry Olympiad exams are comprehensive tests covering an entire  year of chemistry concepts. You can use them as practice for competing in the challenge, or simply as a review, or as an actual final exam for your...
Assessment
Curated OER

2001 U.S. National Chemistry Olympiad National Exam Part II

For Students 9th - 12th
Only eight problems are on this competitive national chemistry exam. It required the balancing of chemical equations, solving stoichiometry questions, and more. This is part two of three of the national exam. Also available is a...
Assessment
Curated OER

2002 U.S. National Chemistry Olympiad National Exam - Part I

For Students 9th - 12th
As to be expected from the American Chemical Society Olympiad Examinations Task Force, this 60-question test tops the charts in terms of excellence. It consists entirely of multiple choice questions designed to assess a year's worth of...
Lesson Plan
EngageNY

Summarizing Deviations from the Mean

For Teachers 9th - 10th Standards
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...
Lesson Plan
1
1
Teach Engineering

What is GIS?

For Teachers 7th - 9th
Is GIS the real manifestation of Harry Potter's Marauders Map? Introduce your class to the history of geographic information systems (GIS), the technology that allows for easy use of spatial information, with a resource that teaches...
Lesson Plan
EngageNY

Real-World Area Problems

For Students 7th Standards
Not all structures take the shape of a polygon. The 21st lesson plan in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite...
Lesson Plan
EngageNY

Presenting a Summary of a Statistical Project

For Teachers 6th Standards
Based upon the statistics, this is what it means. The last lesson in a series of 22 has pupils present the findings from their statistical projects. The scholars discuss the four-step process used to complete the project of their...
Lesson Plan
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson plan in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 2)

For Teachers 11th - 12th Standards
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first instructional activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson plan is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
Lesson Plan
EngageNY

Understanding Box Plots

For Teachers 6th Standards
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries. 
Lesson Plan
EngageNY

Distributions and Their Shapes

For Teachers 9th - 10th Standards
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to...
Lesson Plan
EngageNY

Complex Number Division 2

For Teachers 11th - 12th Standards
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
Lesson Plan
EngageNY

Using Tree Diagrams to Represent a Sample Space and to Calculate Probabilities

For Teachers 7th Standards
Cultivate the tree of knowledge using diagrams with two stages. Pupils create small tree diagrams to determine the sample space in compound probability problems. The lesson uses only two decision points to introduce tree diagrams. 
Lesson Plan
EngageNY

One-Step Equations—Addition and Subtraction

For Teachers 6th Standards
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.