Eighth Grade Topics


1: Foundations of Algebra

Vocabulary
Absolute Value Additive Inverse Algebraic expression
Base (of an exponent) Coefficient (of a variable) Constant term
Exponent Integers Irrational numbers
Like terms Multiplicative inverse Natural numbers
Opposite numbers Order of Operations Perfect square
Power Principle square root Real numbers
Reciprocal Repeating decimal Square root
Term Terminating decimal Variable
Whole numbers

Understanding and Skills
  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

Vocabulary
Cross products Cross multiplication Identity
Percent Proportion Rate
Ratio Scale Solution (of an equation)
Solution set (of and equation) Unit rate Formulas
Literal equations Number line Positive and negative numbers

Understanding and Skills

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Sixth Grade Topics


1: Algebraic Reasoning

Vocabulary
Algebraic expression Associative Property Base (of an exponent)
Commutative Property Constant Distributive Property
Order of Operations Variable

Understanding and Skills
  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

Vocabulary
Absolute value Additive inverse Axis
Coordinate plane Integer Linear equation
Opposite (of a number) x- and y-axis x- and y-coordinate

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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