EngageNY
Addition and Subtraction Formulas 2
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson plan of the module. They then use their formulas to calculate volume.
EngageNY
Nonlinear Models in a Data Context
How well does your garden grow? Model the growth of dahlias with nonlinear functions. In the lesson, scholars build on their understanding of mathematical models with nonlinear models. They look at dahlias growing in compost and...
EngageNY
Using Linear Models in a Data Context
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
EngageNY
The Pythagorean Theorem
Class members explore the estimation of irrational numbers in association with the Pythagorean Theorem. The first activity of this module challenges pupils to use the Pythagorean Theorem to find unknown side lengths. When the length is...
EngageNY
The Slope of a Non-Vertical Line
This lesson plan introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...
EngageNY
Why Worry About Sampling Variability?
Are the means the same or not? Groups create samples from a bag of numbers and calculate the sample means. Using the sample means as an estimate for the population mean, scholars try to determine whether the difference is real or not.
Teach Engineering
Bone Mineral Density Math and Beer's Law
Hop into a resource on Beer's Law. A PowerPoint presentation introduces Beer's law as part of calculating bone density from X-ray images in the sixth lesson plan in the series of seven. Individuals work on practice problems with this law...
EngageNY
Sums and Differences of Decimals
Sometimes dealing with decimals is so much easier than dealing with fractions. The ninth lesson plan in a 21-part module has the class consider situations when it might be easier to add or subtract fractions by first converting to...
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.
Kenan Fellows
Reading Airline Maintenance Graphs
Airline mechanics must be precise, or the consequences could be deadly. Their target ranges alter with changes in temperature and pressure. When preparing an airplane for flight, you must read a maintenance graph. The second lesson of...
Teach Engineering
Floaters and Sinkers
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
Shodor Education Foundation
Triangle Area
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
EngageNY
Why Are Vectors Useful? 1
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...
EngageNY
Vectors and Stone Bridges
What does it take to build a stable arch? Pupils apply vectors and physics as they examine arched bridges and their structural integrity. They use vectors to represent the forces acting on the stone sections and make conclusions based on...
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
EngageNY
Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...
EngageNY
Converting Repeating Decimals to Fractions
Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson in this 25-part module helps...
Federal Reserve Bank
Journey to Jo’burg: A South African Story
How did South African apartheid affect the ability of people of color to increase their human capital? Here is a rich instructional activity in which learners come to understand the relationship between investment in human capital and...
Curated OER
Ratios And Scale
students investigate the concept of using a ratio in the work of construction and solve problems using real life applications. They read descriptions of how various types of construction professionals use ratios on the job. The lesson...
Laboratory for Atmospheric and Space Physics
Growing Up With A Mission
New Horizons began its journey to Pluto in 2006. Ten years later, it continues its mission. In that time, scholars have surely grown, but how much more will they grow by the time New Horizons reaches its destination? Find out with an...
Curated OER
Fractions, Decimals, and Percentages Got You Down? "Tri" This!
Students explore number sense by creating a math presentation in class. In this parts of a whole lesson, students define and discuss the relationship between fractions, decimals and percentages before completing a problem worksheet in...
Federal Reserve Bank
Sky Boys: How They Built the Empire State Building
How tall is the Empire State Building? Lead your class through a collaborative estimation activity to determine the number of quarters it would take to reach the top and teach the following concepts: human capital, human resources,...