# The Ultimate 6th Grade AzMERIT Math Course (+FREE Worksheets)

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## 6th Grade AZMERIT Math Complete Course

### Integers

- Using a Diagram to Classify Rational Numbers
- Opposite Integers
- Using Number Lines to Represent Integers
- Using Vertical and Horizontal Number Lines to Represent Integers

### Fractions, Decimals, and Mixed Numbers

- Using Number Lines to Represent Fractions
- Using Strip Diagrams to Represent Fractions
- Word Problems: Fraction
- Word Problems Involving Fractions of a Group
- Simplifying Fractions
- Using Number Lines to Represent Decimal
- Repeating Decimals
- Convert Between Fractions and Decimals
- Unit Prices with Decimals and Fractions
- Convert Between Decimals and Mixed Numbers
- Convert Between Improper Fractions and Mixed Numbers
- Order of Decimals, Mixed Numbers and Fractions

### Rational Numbers

- Using Number Lines to Represent Rational Numbers
- Using Number Lines to Compare and Order Rational Numbers
- Word Problems of Comparing and Ordering Rational Numbers
- Convert Rational Numbers to a Fraction

### Ratios and Proportions

- Write a Ratio
- Ratio Tables
- Using a Fraction to Write down a Ratio
- Matching a Model with a Ratio
- Word Problems Involving Writing a Ratio
- Finding Equivalent Ratio
- Word Problems Involving Comparing Ratio
- Word Problems Involving Equivalent Ratio
- Similarity and Ratios
- Equivalent Rates
- Word Problems Involving Comparing Rates
- Word Problems Involving Rates and Ratios
- Completing a Table and Make a Graph of Ratios and Rates

### Percentage

- Representing Percentage
- Using Number Line to Graph Percentages
- Using Decimals, Grid models, and Fractions to Represent Percent
- Using Strip Models to Explain Percent
- Using Grid Models to Solve Percentage Problems
- Using Strip Models to Solve Percentage Problems
- Word Problems Involving Determining Percentage of a Number
- Solving Percentage Word Problems
- Fractional and Decimal Percentages
- Using Grid Models to Convert Fractions to Percentages
- Word Problems Involving Comparing Percent and Fractions
- Word Problems of Converting Between Percent, Fractions, and Decimals
- Percent Problems

### Absolute Value

- Absolute Value Definition
- Integers and Absolute Value
- Using Number Lines to Present Absolute Value of Integers
- Integer Inequalities Involving Absolute Values
- Word Problems of Absolute Value and Integers
- Absolute Value of Rational Numbers
- Absolute Values and Opposites of Rational Numbers

### Expressions and Equations

- Identifying Expressions and Equations
- Identify Equivalent Expressions
- Using Properties to Write Equivalent Expressions
- Using Strip Models to Identify Equivalent Expressions
- Using Algebra Tiles to Identify Equivalent Expressions
- Using Exponents to Write down Multiplication Expressions
- Using Exponents to Write Powers of Ten
- Prime Factorization with Exponents
- Identifying Errors Involving the Order of Operations
- Writing down Variable Expressions Involving Two Operations
- Using Area Models to Factor Variable Expressions
- Using Distributive Property to Factor Variable Expressions
- Using Distributive Property to Factor Numerical Expressions

### Fundamentals of Computations

- Additive and multiplicative relationships
- Properties of Addition
- Using Area Models and the Distributive Property to Multiply
- Reciprocals

### Operations of Fraction, Decimal, and Mixed Numbers

- Scaling Whole Numbers by Fractions
- Using Models to Divide Whole Numbers by Unit Fractions
- Dividing Fractions by Whole Numbers in Recipes
- Using Models to Multiply Two Fractions
- Multiplying and Dividing Fractions
- Word Problem for Explaining Fractions as Division
- Word Problems involving Dividing Fractions
- Multiplication and Division of Decimals by Powers of Ten
- Estimate Products of Mixed Numbers
- Scaling by Fractions and Mixed Numbers
- Multiplying Mixed Numbers
- Dividing Mixed Numbers
- Word Problem Involving Multiplying Mixed Numbers
- Multiplying and Dividing Decimals
- Multiplying Three or More Mixed Numbers, Fractions, and Whole Numbers

### Variables and Equations

- Finding Independent and Dependent Variables in Tables and Graphs
- Solve Word Problems to Identify Independent and Dependent Variables
- Using Algebra Tiles to Model and Solve Equations
- Using Diagrams to Model and Solve Equations
- Evaluating One Variable

### One−Step Operations

- Using Decimals and Fractions to Solve One−Step Addition and Subtraction
- Using Decimals and Fractions to Solve One−Step Multiplication and Division
- Solving and Graphing One-Step Multiplication and Division Equations
- Solving and Graphing One-Step Inequalities with Rational Numbers
- One–Step Equations
- Matching Word Problems with the One-Step Equation
- Word Problems Involving the One-Step Equation

### Two-Variable Equation

- Using a Table to Write down a Two-Variable Equation
- Complete a Table and Graph a Two-Variable Equation
- Evaluating Two Variables
- Solving Word problems by Finding Two-Variable Equations

### Inequalities

- Write Inequalities from Number Lines
- Graphing Single–Variable Inequalities
- One–Step Inequalities
- Word Problems Involving One-step Inequalities

### Measurement System

- Converting, Comparing, Adding, and Subtracting Mixed Customary Units
- Customary Unit Conversions Involving Mixed Numbers and Fractions
- Using Proportions to Convert Traditional and Metric Units
- Compare the Temperatures Above and Below Zero

### Geometry and Solid Figures

- Triangles
- Triangle Inequality
- Relationships Between Sides and Angles in a Triangle
- Definition of the Area of a Triangle
- Polygons
- Cubes
- Rectangular Prisms
- Definition of the Area of a Parallelogram
- Word Problems Involving Area of Quadrilaterals and Triangles
- Definition of the Area of a Trapezoid
- Finding Area of Compound Figures
- Finding the Area Between Two Rectangles
- Finding the Area Between Two Triangles
- Word Problems Involving Volume of Cubes and Rectangular Prisms

### Coordinate Plane

### Statistics and Data Analysis

- Pie Graph
- Graph The Line Plot
- Distributions in Line Plot
- Relative Frequency Tables
- Frequency Charts
- Mean, Median, Mode, and Range of the Given Data
- Interpreting Charts to find mean, median, mode, and range
- Finding an Outlier
- Finding Range, Quartiles, and Interquartile Range
- Interpreting Categorical Data
- Identifying Statistical Questions
- Word Problems Involving Completing a Table and Making a Graph

**The Most Comprehensive Review for 6th-Grade Students**

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