6th Grade Math Curriculum
Unit 1: Numerical Expressions and Factors
Exponents
Square and Cube Roots
Order of Operations
Factors and Greatest Common Factor
Multiples and Least Common Multiple
Unit 2: Fractions and Decimals
Multiplying Fractions
Multiplying Mixed Numbers
Dividing Fractions
Dividing Mixed Numbers
Adding and Subtracting Decimals
Multiplying with Decimals
Long Division
Multiplying/Dividing by Powers of 10
Dividing with Decimals
Unit 3: Ratios and Rate
Writing Ratios
Using Tape Diagrams to Create Equivalent Ratios
Proving Equivalent Ratios
Ratio Tables
Solving Ratio Word Problems
Rate and Unit Rate
One Step Measurement Conversions
Two Step Measurement Conversions
Unit 4: Percents
Equivalent Fractions
Simplifying Fractions to Lowest Terms
Converting Fractions to Percents (Denominator is a factor/multiple of 100)
Converting Fractions to Decimals and Percents Using Division
Using All Strategies to Convert Fractions to Percents
Percent of a Number using Equivalent Fractions
Real World Applications of Percents
Building Percents using Mental Math and Landmark Percents
Unit 5: Algebraic Expressions and Properties
Commutative and Associative Properties
Identity, Inverse, and Zero Properties
Distributive Property
Using the Distributive Property for Common Factors
Translating Algebraic Expressions
Identifying Parts of Algebraic Expressions
Evaluating Algebraic Expressions with Whole Numbers
Combining Like Terms and Distributive Property
Equivalent Expressions
Equivalent Expressions - Factoring out the GCF
Unit 6: Equations and Inequalities
Solving One Step Addition and Subtraction Equations
Solving One Step Multiplication and Division Equations
Solving Two Step Equations
Writing Linear Equations
Graphing Linear Equations
Independent and Dependent Variables
Evaluating Formulas
Writing and Graphing Inequalities
Solution Sets
Translating and Solving Inequalities
Unit 7: Integers, Number Lines, and the Coordinate Plane
Integers
Opposites of Integers
Interpreting “The Zero”
Rational Numbers
Absolute Value
The Coordinate Plane
Distance on the Coordinate Plane
Reflections on the Coordinate Plane
Graphing Ratios and Rates on the Coordinate Plane
Unit 8: Area, Surface Area and Volume
Area and Perimeter of Squares and Rectangles
Area and Perimeter of Parallelograms
Area and Perimeter of Triangles
Area and Perimeter of Trapezoids
Area of Compound Figures
Area and Perimeter Applications
Connecting Algebra to Geometry
Volume of Rectangular Prisms
Three Dimensional Solid Figures and Nets
Surface Area of Three Dimensional Solid Figures
Unit 9: Statistics
Statistical Questions
Populations and Samples
Displaying Data in Histograms
Measures of Central Tendency (mean, median, mode)
Variation in a Data Set
Data Distribution Shapes
Outliers
Sampling a Population
Unit 10: Probability
Measuring Chance with Ratios
Predicting Outcomes
Probability and Percent
Non-Uniform Probabilities