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| Operations |
| Start with the basics! Review the step by step operations of arithmetic, practice your skills with random problems, and then test your skills with a challenge test. This lesson lays the groundwork for more complex mathematical concepts.
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| Speed Math |
| Race the clock! Challenge the computer with your basic arithmetic skills in a game of speed and accuracy.
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| Tallies |
| This lesson teaches how to use tallies to represent objects and determines a student's ability to recognize numbers without counting.
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| Abacus |
| How do time, binary code, and the metric system differ? Each uses a different mathematical base. In this lesson learn how to use an abacus and how to use different number bases, such as base 10 or base 2.
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| Duplation |
| Learn the doubling techniques the ancient Egyptians used to multiply numbers, and in the process, gain a deeper understanding of the operations of multiplication.
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| Ancient Numbers |
| Explore the number systems used by the
Babylonians, Egyptians, and Romans, and how they influenced the development of the
number systems used today. Use this increased knowledge of number theory to help
understand the basic ideas of algebra.
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| Primes |
| Learn about prime numbers, composite numbers, and the Fundamental Theorem of Arithmetic. Discover how to find prime factors of numbers that are not prime, use a method for finding prime numbers known as the Sieve of Eratosthenes, and reduce fractions by writing the numerator and denominator as products of prime numbers.
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| Areas |
| Explore the formulas for calculating the areas of different shapes, learn the method of creating a table of squares without multiplying, and discover a way to add odd numbers quickly.
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| Angles and Triangles |
| This lesson explores types of angles, how to measure angles, degrees, basic properties of right triangles and their ratios: sine, cosine and tangent. These skills are helpful when using angles to measure distance.
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| Pythagorean Theorem |
| Examine a proof of the theorem and learn how to calculate the length of one side of a right triangle when given the lengths of the other two sides.
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| Physics of Sound |
| Investigate how sound waves are created, learn about types of sound waves, and learn some specific properties of sound waves in order to understand how waves are transmitted.
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| Physics of Music |
| Explore how string instruments produce sound, and study the mathematics of a vibrating string. Understand the relationship between density, tension, and string length, and their effect on the frequency of a vibrating string.
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| How We Hear |
| Music and mathematics are both processed on the right side of the brain. Learn to identify the different parts of your ear and study how the ear and brain translate various sounds into meaningful pieces of information.
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| Ratios |
| Discover mathematics within the musical scale. Learn about ratios, how to calculate ratios, and practical uses of ratios. Use these skills as you explore the subjects of triangles, musical scales, and harmony in other Math & Music lessons.
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| Scales |
| Learn to identify the parts and notes on the musical staff. Discover the special role that ratios play in the structuring of the musical scale as related to frequency and pitch. Study the relationship between string lengths and notes as discovered by the Greeks. Finally, learn about various types of scales used by different world cultures.
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| Harmony |
| Explore the use of harmony in music, including the relationship between ratios and harmonic chords. Additional elements of music, including rhythm and melody, are also covered.
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| Music Around the World |
| This lesson presents a diverse sampling of musical styles from a variety of world cultures. Select geographical locations from a world map to hear and learn about a region's instruments and music.
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| Music Through Time |
| Explore various musical styles from different Western time periods. Learn to identify the period when music was composed by recognizing the harmonies used.
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