Lesson Plan
EngageNY

Unknown Angle Proofs—Proofs with Constructions

For Teachers 9th - 10th Standards
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
Lesson Plan
EngageNY

Sine and Cosine of Complementary Angles and Special Angles

For Students 9th - 10th Standards
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
Lesson Plan
EngageNY

Using Trigonometry to Find Side Lengths of an Acute Triangle

For Students 9th - 10th Standards
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems. 
Lesson Plan
EngageNY

Properties of Tangents

For Teachers 9th - 12th Standards
You know about the tangent function, but what are tangent lines to a circle? Learners investigate properties of tangents through constructions. They determine that tangents are perpendicular to the radius at the point of tangency,...
Lesson Plan
EngageNY

Comparing Linear and Exponential Models Again

For Students 9th - 10th Standards
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
Lesson Plan
EngageNY

Some Potential Dangers When Solving Equations

For Students 9th - 10th Standards
Need a less abstract approach to introducing extraneous solutions? This is it! Young mathematicians explore properties used to solve equations and determine which operations maintain the same solutions. They...
Lesson Plan
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EngageNY

Solution Sets to Simultaneous Equations (part 1)

For Students 9th - 10th Standards
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
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

Changing the Base

For Teachers 10th - 12th Standards
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
Lesson Plan
EngageNY

The Graph of the Natural Logarithm Function

For Teachers 10th - 12th Standards
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Lesson Plan
EngageNY

The Mathematics Behind a Structured Savings Plan

For Teachers 10th - 12th Standards
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
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

Properties of Parallelograms

For Teachers 9th - 10th Standards
Everyone knows that opposite sides of a parallelogram are congruent, but can you prove it? Challenge pupils to use triangle congruence to prove properties of quadrilaterals. Learners complete formal two-column proofs before moving on to...
Lesson Plan
EngageNY

Translations

For Students 9th - 10th Standards
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
Lesson Plan
EngageNY

Analyzing Decisions and Strategies Using Probability 2

For Students 11th - 12th Standards
Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous lesson. They then extend this concept to hypothesis...
Lesson Plan
American Statistical Association

Don't Spill the Beans!

For Teachers 6th - 8th Standards
Become a bean counter. Pupils use a fun activity to design and execute an experiment to determine whether they can grab more beans with their dominant hand or non-dominant hand. They use the class data to create scatter plots and then...
Lesson Plan
American Statistical Association

How Long is 30 Seconds?

For Teachers 6th - 8th Standards
Is time on your side? Pupils come up with an experiment to test whether their classmates can guess how long it takes for 30 seconds to elapse. They divide the class data into two groups, create box-and-whisker plots, and analyze the...
Lesson Plan
American Statistical Association

You and Michael

For Teachers 8th Standards
Investigate the relationship between height and arm span. Young statisticians measure the heights and arm spans of each class member and create a scatter plot using the data. They draw a line of best fit and use its slope to explain the...
Lesson Plan
American Statistical Association

How Tall and How Many?

For Teachers 8th Standards
Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.
Lesson Plan
American Statistical Association

Scatter It! (Predict Billy’s Height)

For Teachers 8th Standards
How do doctors predict a child's future height? Scholars use one case study to determine the height of a child two years into the future. They graph the given data, determine the line of best fit, and use that to estimate the height in...
Lesson Plan
American Statistical Association

Tell it Like it is!

For Teachers 6th - 8th Standards
Scholars apply prior knowledge of statistics to write a conclusion. They summarize using correct academic language and tell the story of the data.
Lesson Plan
American Statistical Association

What is the Probability of “Pigging Out”

For Teachers 6th - 8th Standards
Learners apply their understanding of luck to a probability experiment. They play a game of Pass the Pigs to determine the probability of a specific outcome. Using analysis for their data, pupils declare the measures of center, dot...
Lesson Plan
American Statistical Association

Exploring Geometric Probabilities with Buffon’s Coin Problem

For Teachers 6th - 8th Standards
Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.
Lesson Plan
American Statistical Association

An A-MAZE-ING Comparison

For Students 9th - 12th Standards
Teach your class how to use descriptive statistics through a hands-on data collection activity. Pupils collect their own data, calculate test statistics, and interpret the results in context. They compare male and female results, looking...

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