Grade 6
Subject Mathematics
Topic 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: https://class.ronliskey.com/study/mathematics-6/topics_g6/