Curated OER
A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
Curated OER
Distance Formula
Students determine the distance between two points. In this distance formula lesson, groups of students determine the distance between points in real life situations. They calculate the distance from one point in the...
Curated OER
Evaluating Formulas
For this evaluating formulas worksheet, 9th graders solve 10 different problems related to various types of formulas used in evaluating equations. First, they determine the value of the indicated variable. Then, students substitute each...
Curated OER
Use Formulas
In this problem solving worksheet, students solve the answers to 6 mathematical questions about a box of balls by using a variety of formulas.
Curated OER
Variables and Expressions from Around the Cosmos
In this variables and expressions worksheet, students solve 7 problems using different mathematical formulae to find the length of Earth's day in the future, the distance to the galaxy Andromeda, the temperature of a gas cloud emitting...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Intel
Pedal Power
Show your classes the importance of mathematics in something as simple as bicycle design. The final lesson in the six-part STEM series has each group research a different aspect of the bicycle. Learners use mathematical formulas, linear...
Curated OER
Buying on Credit
Explore using credit in this financial responsibility and math lesson. Learn to identify the acronym of "PRT" as Principle x Rate x Time, then calculate interest based on this formula. Do some real-world problem solving and choose...
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
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Teach Engineering
Android Acceleration
Prepare to accelerate your Android. Pupils prep for the upcoming activity in this third installment of a four-part series. The lesson progresses nicely by first introducing different types of acceleration to the class. The teacher...
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
Illustrative Mathematics
Sum and Difference Angle Formulas
Need practice deriving trigonometric angle formulas? With this instructional activity, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles and use Green's...
Curated OER
Solving Equations and Formulas
Learners rearrange equations and formulas to solve for a specified variable. Includes multi-step equations with a variety of different variables and a few real-world applications. Great for use as a study guide when presenting the...
Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship...
EngageNY
Volume of a Sphere
To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...
Houghton Mifflin Harcourt
Developing Formulas for Circles and Regular Polygons
Formulas and procedures for finding the area and circumference are not provided on this handout, so it will be best used as a practice of already-acquired skills. It is a well-rounded assignment, however, as it includes diagrams,...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
EngageNY
Unknown Area Problems on the Coordinate Plane
Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...
EngageNY
End-of-Module Assessment Task: Grade 8 Mathematics (Module 7)
It's time to discover what your classes have learned! The final lesson in the 25-part module is an assessment that covers the Pythagorean Theorem. Application of the theorem includes distance between points, the volume of...
Mathematics Assessment Project
Middle School Mathematics Test 5
A middle school test contains two 40-minute sections covering material through algebra. All questions involve applied problem solving or mathematical analysis.