Activity
PBL Pathways

Doctors and Nurses

For Students 11th - Higher Ed Standards
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
Lesson Plan
EngageNY

Base Angles of Isosceles Triangles

For Students 9th - 10th Standards
Build confidence in proofs by proving a known property. Pupils explore two approaches to proving base angles of isosceles triangles are congruent: transformations and SAS. They then apply their understanding of the proof to more complex...
Assessment
Mathematics Assessment Project

Square

For Students 8th - 12th Standards
Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.
Assessment
Mathematics Assessment Project

Card Game

For Teachers 6th - 8th Standards
Middle schoolers use 10 cards to determine whether the probability that the next card chosen is higher or lower than the previous.
Lesson Plan
West Contra Costa Unified School District

Graphing Exponential Functions

For Teachers 8th - 10th Standards
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
Assessment
Bowland

Three of a Kind

For Teachers 6th - 9th
One is chance, two is a coincidence, three's a pattern. Scholars must determine similarities and differences of a regular hexagon undergoing dilation. They look at lengths, angles, areas, and symmetry.
Assessment
Bowland

Public Transport

For Teachers 6th - 9th
"Statistics is the grammar of science" -Karl Pearson. In the assessment task, learners read a claim made by a newspaper and analyze its conclusions. They need to think about the sample and the wording of the given statistics.
Lesson Plan
West Contra Costa Unified School District

Adding by finding 10's

For Teachers 1st - 2nd Standards
Count with ten frames in a first grade addition lesson. Kids determine how to identify numbers on a number line, as well as with ten frames, and complete ten frames to show their answers in several addition problems.
Lesson Plan
West Contra Costa Unified School District

Multiplying Binomials and Factoring Trinomials

For Teachers 8th - 10th
Two lessons for the price of one! Learners use algebra tiles to multiply binomials in the first lesson, Next, they use their knowledge from the first lesson to factor trinomials into two binomials.
Lesson Plan
Mathematics Assessment Project

Evaluating Statements about Probability

For Teachers 7th Standards
Learners first complete an assessment task where they assess statements on probability. They then sort cards containing probability statements as being either true or false.
Lesson Plan
Mathematics Assessment Project

Increasing and Decreasing Quantities by a Percent

For Teachers 7th Standards
As part of a study of percent and percent change, learners first complete an assessment task with several percent change problems. They then complete an activity using cards to create a diagram expressing percent increases and...
Lesson Plan
Mathematics Assessment Project

Inscribing and Circumscribing Right Triangles

For Teachers 9th - 12th Standards
High schoolers attempt an assessment task requiring them to find the radii of inscribed and circumscribed circles of a right triangle with given dimensions. They then evaluate provided sample responses to consider how to improve...
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
Mathematics Assessment Project

Representing and Combining Transformations

For Teachers 8th Standards
Transform your learners into master geometers with an activity that asks them to first complete an assessment task drawing the result after transformation of a given shape in the coordinate plane. They then use cards to...
Lesson Plan
Mathematics Assessment Project

Estimating Length Using Scientific Notation

For Teachers 8th Standards
Would you rather have a million dollars or 1 x 10^6 dollars? To find the answer to this question, class members first complete an assessment task converting numbers between decimal notation and scientific notation. They then take...
Lesson Plan
Mathematics Assessment Project

Comparing Lines and Linear Equations

For Teachers 8th Standards
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...
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

Building and Solving Linear Equations

For Teachers 8th Standards
Young scholars write and solve linear equations in one variable based on descriptions of the operations that are applied to the unknown variable in an algebra machine. They then create their own problems for classmates to solve.
Unit Plan
Massachusetts Department of Education

Similarity through Transformations

For Teachers 9th - 12th Standards
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
Lesson Plan
Mathematics Assessment Project

Classifying Equations of Parallel and Perpendicular Lines

For Teachers 9th - 12th Standards
Parallel parking might be difficult, but finding parallel lines is fairly simple. In this instructional activity, learners first complete an assessment task involving parallel and perpendicular lines in the coordinate plane. Individuals...
Lesson Plan
West Contra Costa Unified School District

Introduction to Trigonometric Functions

For Teachers 9th - 12th
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
Lesson Plan
1
1
Illustrative Mathematics

Eratosthenes and the Circumference of the Earth

For Teachers 9th - 12th Standards
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Assessment
Mathematics Assessment Project

Sale!

For Students 7th Standards
Let's save some money! High schoolers investigate different options for price reductions. They then determine the best and worst sale from a list of options.