Lesson Plan
Mathematics Assessment Project

Discovering the Pythagorean Theorem

For Teachers 8th Standards
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the...
Lesson Plan
Mathematics Assessment Project

Translating Between Repeating Decimals and Fractions

For Teachers 8th Standards
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
Lesson Plan
Mathematics Assessment Project

Solving Problems with Circles and Triangles

For Teachers 9th - 12th Standards
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
Lesson Plan
Mathematics Assessment Project

Solving Linear Equations in Two Variables

For Teachers 9th - 12th Standards
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
Lesson Plan
EngageNY

Evaluating Reports Based on Data from an Experiment

For Students 10th - 12th Standards
They say you can interpret statistics to say what you want them to. Teach your classes to recognize valid experimental results! Pupils analyze experiments and identify flaws in design or statistics. 
Lesson Plan
Mathematics Assessment Project

Evaluating Statements About Enlargements

For Teachers 9th - 12th Standards
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
Lesson Plan
Mathematics Assessment Project

Deducting Relationships: Floodlight Shadows

For Teachers 9th - 12th Standards
Try to figure out what happens with shadows as a person moves between two light sources. A formative assessment lesson has individuals work on an assessment task based on similar triangles, then groups them based on their...
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
EngageNY

When Can We Reverse a Transformation? 1

For Teachers 11th - 12th Standards
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
Lesson Plan
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EngageNY

Solution Sets to Simultaneous Equations (part 2)

For Students 9th - 10th Standards
Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a valid...
Lesson Plan
University of Nottingham

Modeling Conditional Probabilities: 2

For Teachers 10th - 12th Standards
Bring the concept of conditional probability alive by allowing your classes to explore different probability scenarios. Many tasks have multiple solutions that encourage students to continue exploring their problems even after a solution...
Lesson Plan
EngageNY

Law of Sines

For Teachers 11th - 12th Standards
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
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 activity...
Lesson Plan
Statistics Education Web

Odd or Even? The Addition and Complement Principles of Probability

For Teachers 9th - 12th Standards
Odd or even—fifty-fifty chance? Pupils first conduct an experiment rolling a pair of dice to generate data in a probability lesson. It goes on to introduce mutually exclusive and non-mutually exclusive events, and how to use the...
Lesson Plan
American Statistical Association

Chunk it!

For Teachers 9th - 12th Standards
Chunking information helps you remember that information longer. A hands-on activity tests this theory by having learners collect and analyze their own data. Following their conclusions, they conduct randomization simulations to...
Lesson Plan
American Statistical Association

Confidence in Salaries in Petroleum Engineering

For Teachers 9th - 12th Standards
Just how confident can we be with statistics calculated from a sample? Learners take this into account as they look at data from a sample of petroleum engineer salaries. They analyze the effect sample size has on a margin of error and...
Lesson Plan
American Statistical Association

More Confidence in Salaries in Petroleum Engineering

For Teachers 9th - 12th Standards
Making inferences isn't an exact science. Using data about salaries, learners investigate the accuracy of their inferences. Their analyses includes simulations and randomization tests as well as population means.
Lesson Plan
Kenan Fellows

Dinner Party: Using Pattern Trains to Demonstrate Linear Functions

For Teachers 9th - 12th Standards
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Lesson Plan
EngageNY

How Do 3D Printers Work?

For Teachers 9th - 10th Standards
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
Lesson Plan
Mathematics Assessment Project

Calculating Volumes of Compound Objects

For Teachers 9th - 12th Standards
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
Lesson Plan
Curated OER

Comparing Value for Money: Baseball Jerseys

For Teachers 8th Standards
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
Lesson Plan
EngageNY

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Lesson Plan
EngageNY

Triangle Congruency Proofs (part 1)

For Teachers 9th - 10th Standards
Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...
Lesson Plan
EngageNY

Percent Rate of Change

For Teachers 10th - 12th Standards
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...

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