Study Guides | overview | Sixth Grade Topics

Study Guide: 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

  1. Using all four operations with integers (negative and positive numbers)
  2. Solving equations containing integers
  3. Solving equations with two variables
  4. Reading and graphing on the coordinate plane

3: Number Theory and Fractions

Vocabulary
Composite number Equivalent fraction Greatest Common Devisor (GCD)
Improper fraction Least Common Denominator (LCD) Mixed number
Prime factorization Prime number Rational number
Repeating decimal Terminating decimal

Understanding and Skills

  1. Finding the GCD
  2. Finding the LCM
  3. Finding equivalent fractions
  4. Converting between fractions, mixed numbers, and decimals
  5. Comparing and ordering numbers

4: Operations with Rational Numbers

Vocabulary
Multiplicative inverse Reciprocal US measurements
Customary measurements Metric measurements

Understanding and Skills

  1. Using all four operations with fractions
  2. Using all four operations with mixed numbers
  3. Solving equations containing fractions
  4. Using all four operations on decimals
  5. Using metric measurements
  6. Solving equations containing decimals

5: Proportional Relationships

Vocabulary
Cross product Equivalent ratios Indirect measurement
Proportion Rate Ratio
Scale Scale factor Similar (figure)
Unit rate

Understanding and Skills

  1. Working with ratios
  2. Working with rates
  3. Working with proportions
  4. Working with US and Metric measurements
  5. Working with similar figures and proportions
  6. Working with scale and scale drawings

6: Percents

Vocabulary
Discount Percent Percent increase
Percent decrease Principal Profit
Rate of interest Simple interest

Understanding and Skills

  1. Working with percents
  2. Converting between fractions, decimals and percents
  3. Estimating with percents
  4. Finding percents of a number
  5. Solving percent problems
  6. Finding percent of change
  7. Finding simple interest

7: Geometry

Vocabulary
Triangle Right triangle Acute triangle
Obtuse triangle Congruence Angles and degrees
Complimentary angles Pythagorean Theorem Rectangle
Polygon Quadrilateral

Understanding and Skills

  1. Understanding the language of geometry
  2. Measuring and classifying angles
  3. Finding angle relationships
  4. Finding angle measures
  5. Classifying polygons
  6. Classifying triangles
  7. Finding angles in triangles
  8. Classifying quadrilaterals
  9. Finding congruent figures
Source: https://class.ronliskey.com/study/mathematics-6/topics_g6/