5280 Math
Stories That Formulas Tell
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
Howard Hughes Medical Institute
Spreadsheet Tutorial 1: Formulae, Functions, and Averages
Spread your knowledge of spreadsheets. The first of five tutorials in the Spreadsheet Data Analysis unit introduces the basics of spreadsheets. It shows future data analysts how to organize and format tables, and how to use functions to...
Teach Engineering
Understanding the Air through Data Analysis
Is there a correlation or causation relationship between air pollutants? Groups develop a hypothesis about the daily variation of air pollutants, specifically ozone and CO2. Using Excel to analyze the data, the groups evaluate their...
Curated OER
Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
Curated OER
Springfield Digital Storytelling Project #6: Grapes Commercial
Here is a fabulous instructional activity that should have your class very excited! They utilize the GRAPES formula in order to produce a commercial like ones we see on TV. Working in pairs, they must come up with a script, take video,...
Illustrative Mathematics
Ice Cream Cone
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
Illustrative Mathematics
How Many Leaves on a Tree? (Version 2)
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Howard Hughes Medical Institute
Spreadsheet Tutorial 2: Autofill Data, Cell References, and Standard Deviation
If you've always wanted to know more about spreadsheets, here's a perfect resource for you. A self-paced tutorial introduces how to autofill and copy formulas in a Google sheet or Excel spreadsheet. It also shows users how to find range,...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Illustrative Mathematics
Writing Constraints
Use this resource to present your number crunchers with how to write a constraint equation and to determine viable solutions. The price of an object limits the amount that can be purchased. The speed at which you walk limits the number...
PBL Pathways
Students and Teachers
Predict the future of education through a mathematical analysis. Using a project-based learning strategy, classes examine the pattern of student-to-teacher ratios over a period of years. Provided with the relevant data, learners create a...
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
Illustrative Mathematics
Complex number patterns
Start off with the definition of the imaginary number i, then have your class practice simplifying expressions involving powers of i and look for patterns. See how the cyclic nature of powers of i translate to sums of powers of i.
University of Illinois
University of Illinois: Quadratic Formula
This site from the University of Illinois offers an excellent simulation of the quadratic formula, where you can type in different values for a, b, and c, and then view the change in the answer for x.
Purple Math
Purplemath: The Quadratic Formula Explained
An excellent discussion on solving quadratic formulas, accompanied by numerous examples.
Mathematics Archives
Math Archives: Visual Calculus: Integration by Parts
Excellent site explaining how and why the Integration by Parts works. Go through the formula step-by-step.
Clark University
Clark University: Dave's Short Trig Course: Summary of Trig Identities
This Clark University page is an excellent reference page for trig identities. It is a little difficult to read so take your time with the formulas. If you remember soh - cah - toa, the other formulas are right here.
Physics Classroom
The Physics Classroom: Kinematic Equations & Problem Solving
This excellent high school physics tutorial from The Physics Classroom investigates motion formulas using several problem-solving strategies including diagrams, equations, and lists.
California State University
Cal State San Bernardino: Linear Regression
Cal State San Bernardino offers an excellent site on linear regression, including formulas and an applet that allows you to mark the locations of ordered pairs and then determines the equation of the regression line and graphs it.
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