EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
Fluence Learning
Writing About Informational Text: The Dred Scott Decision
Looking for a performance assessment that asks individuals to demonstrate their competency in writing about informational text? Use Frederick Douglass' essay "On the Dred Scott Decision," and an excerpt from Abraham Lincoln's 1857 speech...
Kenan Fellows
Introduction to a Flight Computer
Keep your hands on the wheel—at all times! Scholars learn why pilots use a flight computer through a high-flying demonstration. Making calculations for speed, distance, or time is automatic if you know how to use a flight computer.
Mathematics Assessment Project
Taxi Cabs
A simple real-world problem involving taxi cab fares is used to practice the multplicaiton and division of integers. How many of two different-sized taxis are needed to transport 75 people to the airport? What is the least...
Kenan Fellows
Weight and Balance of an Airplane
A career in aeronautics might be calling your class members. Building from the previous two lessons in the series, learners continue analyzing the mathematics of aeronautics. Groups create a paper airplane using paperclips for balance....
Federal Reserve Bank
Lesson 4: Back to School
Based on your current level of human capital, how long would it take you to earn $1,000,000? What about your potential human capital? Learners explore the importance of education and experience when entering the workforce, and compare...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
EngageNY
Equations for Lines Using Normal Segments
Describing a line using an algebraic equation is an essential skill in mathematics. The previous lesson plan in the series challenged learners to determine if segments are perpendicular with a formula. Now they use the formula to...
Curated OER
Interpreting Functions
Interpreting graphs of functions is addressed in a short worksheet. Distance as a function of time is sketched on a graph, and a few quick questions ask about their meaning. This would make a good short assessment, or a nice worksheet to...
Mathematics Assessment Project
Division
When you divide two integers you can get a decimal form of a rational number that repeats. How do you interpret that number in real-world situations? Her is an example question: What does 2.6666666666 mean in terms of an amount of...
Curated OER
Charity Fair
What is the probability of picking the same color ball out of three identical barrels? If you wanted to design a game that made money, how could you structure a game and what would you charge for each chance? How much should you pay a...
EngageNY
Analyzing Data Collected on Two Variables
Assign an interactive poster activity to assess your class's knowledge and skill concerning data analysis. The teacher reference provides solid questions to ask individuals or groups as they complete their posters.
EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
Mathematics Assessment Project
Octagon Tile
A connecting-the-dots activity seems too easy for seventh grade but connecting vertices may prove a challenge. Class members first examine a figure created by drawing squares around the inside of an octagon and connecting the...
Mathematics Assessment Project
Sale!
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.
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
EngageNY
Calculating Probabilities of Events Using Two-Way Tables
Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities.
EngageNY
Sampling Variability in the Sample Proportion (part 1)
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
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
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
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.
Mathematics Assessment Project
Temperatures
As a middle school assessment task, learners first examine line graphs of monthly temperatures for two locations, and then match box plots to each line plot.
Curated OER
Candy Bars
There is often more to data than meets the eye. Scholars learn that they need to analyze data before making conclusions as they look at data that describes the number of candy bars boys and girls eat. They disprove a given conclusion and...