Mathematics Assessment Project
Generalizing Patterns: The Difference of Two Squares
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Curated OER
Comparing Value for Money: Baseball Jerseys
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...
Mathematics Assessment Project
Classifying Proportion and Non-Proportion Situations
Proportions, proportions, everywhere. Class members complete an assessment task solving problems involving proportionality. They then complete an activity classifying given situations as proportional or non-proportional.
Mathematics Assessment Project
Applying Angle Theorems
Polygon ... an empty bird cage? After finding the angles of a polygon, young mathematicians use the provided methods to solve the problem in multiple ways.
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
Mathematics Assessment Project
Sampling and Estimating: Counting Trees
Your task today: count all the trees on a tree farm. To complete the assignment, learners first estimate the number of trees on a tree farm using random sampling. To improve their own response they then evaluate provided responses to the...
Mathematics Assessment Project
Designing a 3d Product in 2d: a Sports Bag
Sew up pupil interest with an engaging, hands-on instructional activity. Learners first design a sports bag given constraints on the dimensions of fabric. They then evaluate provided sample responses to identify strengths and weaknesses...
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Mathematics Assessment Project
Designing 3d Products: Candy Cartons
Wouldn't it be great to work in a candy factory? Learners get their chance as they first design a carton for a candy that meets certain requirements. They then examine and analyze nets and explanations in sample student responses.
EngageNY
Sampling Variability in the Sample Proportion (part 2)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
EngageNY
Using Sample Data to Estimate a Population Characteristic
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The lesson plan explores the meaning of a population versus a sample and how to interpret...
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
EngageNY
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson plan introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
EngageNY
Drawing a Conclusion from an Experiment (part 1)
Challenge your classes to complete an experiment from beginning to end. Learners make their own hypotheses, collect and analyze their own data, and make their own conclusions. They are on their way to becoming statisticians!
EngageNY
Ruling Out Chance (part 3)
Pupils analyze group data to identify significant differences. They use simulation to create their own random assignment data for comparison.
EngageNY
Margin of Error When Estimating a Population Mean (part 2)
Don't leave your classes vulnerable in their calculations! Help them understand the importance of calculating a margin of error to represent the variability in their sample mean.
EngageNY
Margin of Error When Estimating a Population Mean (part 1)
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
EngageNY
Sampling Variability in the Sample Mean (part 2)
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.