Curated OER
CORNER CABINET
Ninth and tenth graders calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They solve problems involving scale drawings, models, maps or...
Curated OER
Looking at Circumference
Middle schoolers understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
Curated OER
Decomposing Rectangular Solids
In this surface area and volume worksheet, students solve and complete 3 different decomposing rectangular solids. First, they use the given formulas for surface area and volume to calculate the measurements of each of the illustrated...
Curated OER
Nuclear Arithmetic
In "Nuclear Arthmetic," first-time physical scientists examine atomic structure and the periodic table of elements. The are given the formula, "N = A-Z," in which N is the number of neutrons, A is the atomic mass, and Z is the atomic...
Curated OER
Plasma Clouds in Space and Density
Use this plasma clouds worksheet to have learners find the density of 10 different plasma clouds using a given formula which uses the reflection frequency to determine the density.
Curated OER
Dissecting the Cube
Students investigate the volume of cones. In this geometry lesson plan, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.
Curated OER
Criss-Cross Rule for Binary Compounds
Chemistry aces apply the criss-cross method for finding the formulae of binary compounds. Using aluminum chloride and magnesium oxide as examples, they are guided step-by-step through the process. This is a concise demonstration of this...
Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Illustrative Mathematics
Radius of a Cylinder
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...
Rochester Institute of Technology
Roots of Quadratic Equations
A five-page worksheet packet guides young mathematicians through solving standard form quadratic equations using the quadratic formula. They can identify the radical sign, the discriminant, and see the three options for finding...
Utah State University
Estimate Study Hours
How many hours should learners devote to studying outside of class? Learners use this learning exercise to not only practice estimation, but also develop a valuable study skill for their future academic careers.
West Contra Costa Unified School District
Interest and the Number “e”
Make a connection between different types of interest and how they are calculated! This algebra II lesson progresses from simple interest to compound interest to continually compounded interest. Formulas are developed rather than given,...
College of Marin
General Addition and Multiplication Rules of Conditional Probabilities
Making connections between multiple methods of solving problems is an important part of understanding conditional probability. The lesson shows solutions to problems using Venn diagrams, tree diagrams, formulas, and...
EngageNY
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
EngageNY
Changing the Base
I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base,...
EngageNY
Buying a House
There's no place like home. Future home owners investigate the cost of buying a house in the 33rd installment of a 35-part module. They come to realize that the calculations are simply a variation of previous formulas involving car loans...
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about...
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Teach Engineering
Common and Natural Logarithms and Solving Equations
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
CK-12 Foundation
Coefficient of Variation: Diverse Populations
What is the height of school clubs? Learners use sliders to calculate the coefficient of variation for three different school groups. Using the calculations, class members compare the variation in the heights of the groups.
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