Grade 6
Mathematics
Overview
Study Guide: Sixth Grade Topics
An overview of topics for a complete sixth grade mathematics program.
1: Algebraic Reasoning
| Vocabulary | ||
|---|---|---|
| Algebraic expression | Associative Property | Base (of an exponent) |
| Commutative Property | Constant | Distributive Property |
| Order of Operations | Variable |
| Understanding and Skills |
|---|
- Memorize multiplication up to 12 × 12
- Memorize perfect squares up to 144
- Working with Commutative, Associative, Distributive and Identity Properties
- Identifying types of numbers, including Natural, Whole, Integer, Rational, Irrational
- Simplifying expressions
- Adding and subtracting real numbers
- Multiplying and dividing real numbers
- Evaluating and writing algebraic expressions
- Solving equations by adding or subtracting
- 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
- Using all four operations with integers (negative and positive numbers)
- Solving equations containing integers
- Solving equations with two variables
- 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
- Finding the GCD
- Finding the LCM
- Finding equivalent fractions
- Converting between fractions, mixed numbers, and decimals
- Comparing and ordering numbers
4: Operations with Rational Numbers
| Vocabulary | ||
|---|---|---|
| Multiplicative inverse | Reciprocal | US measurements |
| Customary measurements | Metric measurements |
Understanding and Skills
- Using all four operations with fractions
- Using all four operations with mixed numbers
- Solving equations containing fractions
- Using all four operations on decimals
- Using metric measurements
- 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
- Working with ratios
- Working with rates
- Working with proportions
- Working with US and Metric measurements
- Working with similar figures and proportions
- 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
- Working with percents
- Converting between fractions, decimals and percents
- Estimating with percents
- Finding percents of a number
- Solving percent problems
- Finding percent of change
- 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
- Understanding the language of geometry
- Measuring and classifying angles
- Finding angle relationships
- Finding angle measures
- Classifying polygons
- Classifying triangles
- Finding angles in triangles
- Classifying quadrilaterals
- Finding congruent figures
Source: //study/mathematics-6/topics_g6/