Eighth Grade Topics

1: Foundations of Algebra

1. Memorize multiplication up to 12 × 12
2. Memorize perfect squares up to 144
3. Working with Commutative, Associative, Distributive and Identity Properties
4. Identifying types of numbers, including Natural, Whole, Integer, Rational, Irrational
5. Converting between fractions, decimals and percents.
6. Simplifying expressions
7. Adding and subtracting real numbers
8. Multiplying and dividing real numbers
9. Simplifying powers, exponents, and roots
10. Simplifying rational and irrational numbers

2: Equations

Understanding and Skills

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Sixth Grade Topics

1: Algebraic Reasoning

1. Memorize multiplication up to 12 × 12
2. Memorize perfect squares up to 144
3. Working with Commutative, Associative, Distributive and Identity Properties
4. Identifying types of numbers, including Natural, Whole, Integer, Rational, Irrational
5. Simplifying expressions
6. Adding and subtracting real numbers
7. Multiplying and dividing real numbers
8. Evaluating and writing algebraic expressions
9. Solving equations by adding or subtracting
10. Solving equations by multiplying or dividing

2: Integers

Understanding and Skills

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Algebra Glossary

A monumental and ever-expanding list of vital terms with their definitions.

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Algebra Glossary

A monumental and ever-expanding list of vital terms with their definitions.

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Alexander Von Humboldt

Scientist Explorer

The German naturalist Friedrich Heinrich Alexander von Humboldt’s (1769-1859), known in English as Alexander von Humboldt, is considered the father of modern geography and ecology. He was a German polymath, geographer, naturalist, explorer, and proponent of Romantic philosophy and science.

Humboldt’s quantitative work on botanical geography laid the foundation for the field of biogeography. His advocacy of long-term systematic geophysical measurement laid the foundation for modern geomagnetic and meteorological monitoring.

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Pre Algebra

Test your understanding of some core algebraic concepts and skills.

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Global Warming

In recent decades, the average global temperature has increased at the fastest rate in recorded history. Climate measurements show this trend accelerating, with all but one of the 16 hottest years in NASA’s 134-year record having occurred since 2000 CE.

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Mathematics

In seventh grade, we focus on the following topics: 1) increasing the ability to persevere in solving mathematical questions; 2) developing an understanding of proportional relationships; 3) deepening the ability to solve problems with ratios and rates; 4) developing a greater understanding of rational numbers, mathematical expressions, linear equations, and linear inequalities; 5) deepening the ability to work with exponents and roots; 6) solving questions of scale and geometric constructions; 7) working with two- and three-dimensional shapes to find perimeter, area, surface area, and volume; and 8) applying mathematical reasoning to solve real world questions taken from our physics main lesson block and selected current events.

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Mathematics

In eighth grade, we focus on the following topics: 1) increasing the ability to persevere in solving complex mathematical questions; 2) developing a greater understanding of expressions and equations; 3) modeling and solving linear equations, inequalities, and systems; 4) simplifying rational expressions; 45) solving problems with roots and exponents; 6) using functions to describe quantitative relationships; 7) analyzing two- and three-dimensional figures using distance, angle, similarity, congruence, and the Pythagorean Theorem; 8) applying mathematical reasoning to solve real world questions taken from our physics main lesson block and selected current events; and 9) high school readiness.

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