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Tutorials for High School Mathematics presents twenty-six online tutorial lessons designed to help students review high school mathematics topics. The topics are basic to student success in post-secondary science, computer science, and engineering courses.

Each tutorial lesson features a short video of a teacher reviewing the key mathematical procedures and ideas and demonstrating their application. Students are encouraged to work along as they watch the video. Several videos require the use of a graphing calculator. After viewing the video, students should take the Self-Check to evaluate their understanding of the topic. In addition to the video and Self-Check, each tutorial includes a printable copy of the video presentation and provides a list of additional online resources for further study.




1

Caruthers Headshot
Scientific Notation: Basics
Video Runtime: 7:09
Writing numbers in scientific notation.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


2

Hutchens Headshot
Scientific Notation: Computation
Video Runtime: 16:21
Computing with scientific notation, using significant digits, and explaining the meaning of precision and accuracy.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


3

Darfus Headshot
Working with Metric Units and Prefixes
Video Runtime: 5:01
Converting between metric units.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


4

Darfus Headshot
Metric and English Unit Conversions and Dimensional Analysis
Video Runtime: 7:04
Converting between metric and English units and using dimensional analysis.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


5

Darfus Headshot
Area and Volume: Concepts and Calculations
Video Runtime: 9:05
Understanding and finding area and volume for regular and irregular shapes.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


6

Caruthers Headshot
Parallel Lines, Polygons, and the Pythagorean Theorem
Video Runtime: 11:37
Finding values for alternate interior angles, finding values for the exterior angles of regular polygons, and using the Pythagorean theorem.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


7

Caruthers Headshot
Graphing Linear Equations
Video Runtime: 11:14
Introducing the coordinate plane and the graphing of linear equations.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


8

Dillion Headshot
Graphing Quadratic and Cubic Equations Using Technology
Video Runtime: 11:37
Graphing quadratic and cubic equations and how to find their roots and extrema. Discussion includes the general shapes and the family of graphs.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


9

Lentz Headshot
Graphing in 3-D
Video Runtime: 8:27
Defining the axes and exploring the planes in three dimensions.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


10

Darfus Headshot
Solving One-Step Literal Equations
Video Runtime: 6:25
Using inverse operations to solve simple equations.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


11

Darfus Headshot
Solving Multiple-Step Literal Equations
Video Runtime: 6:39
Using inverse operations to solve complex equations based on real-world examples.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


12

Coleman Headshot
Graphing and Finding Roots for Quadratic and Cubic Equations
Video Runtime: 20:54
Exploring types of roots and applying the rational root theorem and synthetic division.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


13

Coleman Headshot
Generating Polynomial Equations for Given Roots
Video Runtime: 18:19
Using factoring, multiplying binomials, and graphing to build equations.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


14

Coleman Headshot
Factoring Using Algebra
Video Runtime: 21:29
Using factoring methods including the quadratic formula. Discussion includes what the quadratic formula means and how it works.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


15

Coleman Headshot
Solving Systems of Linear Equations
Video Runtime: 24:33
Finding solutions by graphing and by using substitution and elimination. Discussion includes the solutions for the special cases.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


16

Hutchens Headshot
Mixture and Concentration Problems
Video Runtime: 9:33
Setting up and solving mixture and concentration problems with science examples.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


17

Dillion Headshot
Using Rates and Proportions
Video Runtime: 5:31
Working with unit rates, ratios, and proportions.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


18

Hutchens Headshot
Data Display
Video Runtime: 14:18
Organizing information into tables and graphs with titles, legends, correct units, error bars, and fitting functions.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


19

Hutchens Headshot
Graphing Data
Video Runtime: 9:13
Working with a spreadsheet to create different types of graphs with discussion of appropriateness.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


20

Coleman Headshot
Exponents
Video Runtime: 5:43
Understanding exponents and using the rules for computation.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


21

Lentz Headshot
Logarithms
Video Runtime: 15:19
Definition of and computation with both common logarithms and base e natural logarithms.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources


22

Lentz Headshot
Right Triangle Trig
Video Runtime: 14:49
Reviewing trig definitions and applying trig in practical problems.
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Supporting Materials: 
Handout
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Self-Check
 | 
Additional Resources


23

Coleman Headshot
The Laws of Sines and Cosines
Video Runtime: 16:17
Reviewing the laws and their applications.
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Supporting Materials: 
Handout
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Self-Check
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Additional Resources


24

Dillion Headshot
Probability Basics
Video Runtime: 7:34
Exploring theoretical and experimental probability with tree diagrams and the fundamental counting principle.
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Supporting Materials: 
Handout
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Self-Check
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Additional Resources


25

Dillion Headshot
Measures of Center and Dispersion
Video Runtime: 7:34
Discussing the meaning of measures of center and using a calculator to explore measures of dispersion.
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Supporting Materials: 
Handout
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Self-Check
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Additional Resources


26

Dillion Headshot
Lines of Fit
Video Runtime: 10:03
Defining and finding lines of best fit using real data.
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Supporting Materials: 
Handout
 | 
Self-Check
 | 
Additional Resources

Ralph Regula School of Computational Science Created with funding from the Ralph Regula School of Computational Science and developed by the Ohio Resource Center (ORC).