M/J Grade 6 Mathematics
To satisfy the Common Core Standards for 6th grade mathematics this course focuses on four critical areas.
First, students will learn to connect the ideas of ratio and rate to multiplication and division. If they can view ratios and rates as originating from and extending pairs of rows or columns the connection with multiplication and division allows students to expand on their skills.
Second, the students will complete their understanding of the division of fractions and of the system of rational numbers, including negative numbers. They will understand the order and absolute value of rational numbers and the location of points on the four quadrants of the coordinate plane.
Third, the students will learn to write and understand expressions and equations. The students will become able to write equations and expressions that describe a given situation. They understand that the solutions of an equation are the variables that make the equation true. The students learn to solve simple one-step equations and can create tables to describe the relationships between values.
Fourth, the students will begin to develop an understanding of statistics. They will understand that data distribution may not have a definite center and that different methods of measurement can provide different values. The students will learn how to use and calculate the mean and median of a group of numbers. They learn how the measurement of variability helps to describe a set of data.
Course Outline
Introduction
- Introduction
- Course Description
- Pretest
- Assignment: Pretest
- MLA Formatting MSWord 2007
- MLA Documentation updates
- MLA Citation
- MLA Incorporating Sources
Number Sense
- Problem Solving
- Handout: Problem-Solving Worksheet
- Handout: Problem-Solving Graphic Organizer
- Assignment: Problem-Solving
- Assignment: Problem-Solving Graphic Organizer
- Exponents
- Assignment: Exponents
- Squares & Square Roots
- Worksheet: Squares & Square Roots
- Order of Operations
- Handout: Order of Operations KWL Chart
- Handout: Order of Operations Worksheet
- Assignment: Order of Operations KWL Chart
- Assignment: Order of Operations
- Absolute Value
- Handout: Absolute Value Worksheeet
- Quiz: Absolute Value
- Assignment: Absolute Value
- Compare & Order Integers
- Worksheet: Compare & Order Integers
- Adding & Subtracting Integers
- Worksheet: Adding & Subtracting Integers
- Multiplying & Dividing Integers
- Worksheet: Multiplying & Dividing Integers
Decimal
- Compare & Order Decimals
- Worksheet: Compare & Order Decimals
- Estimation with Decimals
- Handout: Estimation with Decimals Worksheet
- Assignment: Estimation with Decimals
- Adding & Subtracting Decimals
- Assignment: Adding Decimals
- Assignment: Subtracting Decimals
- Multiplying Decimals
- Assignment: Multiplying Decimals
- Dividing Decimals
- Quiz: Dividing Decimals
- Handout: Birthday Party Problem
- Assignment: Birthday Party Problem
Introduction To Fractions
- Factors
- Quiz: Factors
- Prime Factorization
- Handout: Prime Factorization Worksheet
- Assignment: Prime Factorization
- Greatest Common Factor
- Worksheet: Greatest Common Factors
- Fractions
- Handout: Fraction Maze
- Quiz: Name That Fraction!
- Assignment: Fraction Maze
- Worksheet: Mixed Numbers & Improper Fractions
- Quiz: Equivalent Fractions
- Simplifying Fractions
- Worksheet: Simplifying Fractions
- Convert Fractions to Decimals
- Handout: Fractions to Decimals
- Assignment: Fractions to Decimals
- Estimation with Fractions
- Handout: Estimation with Fractions Worksheet
- Assignment: Estimation with Fractions
Operations with Fractions
- Add & Subtract Fractions, Part 1
- Handout: Add & Subtract Fractions, Part 1 Worksheet
- Assignment: Add & Subtract Fractions, Part 1
- Least Common Multiple
- Worksheet: Least Common Multiple
- Add & Subtract Fractions, Part 2
- Handout: Add & Subtract Fractions, Part 2 Worksheet
- Assignment: Add & Subtract Fractions, Part 2
- Add & Subtract Mixed Numbers
- Handout: Adding Mixed Numbers Worksheet
- Handout: Subtracting Mixed Numbers Worksheet
- Assignment: Adding Mixed Numbers
- Assignment: Subtracting Mixed Numbers
- Multiplying Fractions
- Handout: Multiply Fractions Worksheet
- Assignment: Multiply Fractions
- Assignment: A Fraction of a Recipe
- Dividing Fractions
- Handout: Dividing Fractions Worksheet
- Assignment: Dividing Fractions
Algebra
- Properties
- Essay: Properties
- Quiz: Properties
- Expressions
- Handout: Expressions Worksheet
- Assignment: Expressions
- Introduction to Equations
- Worksheet: Equations
- Writing Equations
- Handout: Writing Equations Worksheet
- Assignment: Writing Equations
- Solving Equations: Addition & Subtraction
- Worksheet: Equations With Addition & Subtraction
- Solving Equations: Multiplication
- Handout: Equation Chain Worksheet
- Worksheet: Equations With Multiplication
- Assignment: Equation Chains
- Midtest
- Assignment: Midtest
Ratios & Proportions
- Ratios
- Handout: Writing Ratios Worksheet
- Worksheet: Simplifying Ratios
- Quiz: Equivalent Ratios
- Assignment: Writing Ratios
- Rates
- Worksheet: Rates
- Proportions
- Handout: Solving Proportions Worksheet
- Worksheet: Proportions
- Assignment: Solving Proportions
- Measurement: The Metric System
- Worksheet: Metric System
- Measurement: Customary Units
- Worksheet: Customary Units
- Measurement: Conversions
- Worksheet: Conversions
Percents
- Percent
- Handout: Finding Percents Worksheet
- Assignment: Finding Percents
- Quiz: Percents
- Fractions, Decimals &Percents
- Handout: Exploring Fractions, Decimals, Percents Worksheet
- Assignment: Exploring Fractions, Decimals, Percents
- Worksheet: Fractions, Decimals, Percents
- Percent of a Number
- Worksheet: Percent of a Number
- Estimation with Percent
- Worksheet: Estimation with Percent
- Compare & Order Fractions, Decimals &Percents
- Handout: Compare & Order FDP Worksheet
- Assignment: Compare & Order FDP
Geometry
- Angles
- Handout: Angles Worksheet
- Quiz: Complimentary, Supplementary or Neither
- Assignment: Angles
- Polygons
- Assignment: Polygon Art Project
- Triangles
- Handout: Triangles Graphic Organizer
- Assignment: Triangles
- Assignment: Triangles Graphic Organizer
- Quadrilaterals
- Handout: Quadrilaterals Graphic Organizer
- Assignment: Quadrilaterals Graphic Organizer
- Worksheet: Quadrilaterals
- Circles
- Assignment: Parts of a Circle
- Worksheet: Diameter and Radius Worksheet
- Perimeter
- Handout: Perimeter Worksheet
- Assignment: Perimeter
- Coordinate Geometry
- Handout: Art in the Coordinate Plane
- Handout: Coordinate Plane Worksheet
- Assignment: Art in the Coordinate Plane
- Assignment: Coordinate Plane
Area & Volume
- Area: Parallelograms
- Handout: Area of Parallelograms Worksheet
- Assignment: Area of Parallelograms
- Area: Triangles & Trapezoids
- Handout: Area of Triangles & Trapezoids Worksheet
- Assignment: Area of Triangles & Trapezoids
- Three-Dimensional Solids
- Handout: 3D Solids Worksheet
- Assignment: 3D Solids
- Nets & Surface Area
- Worksheet: Surface Area of Cubes
- Worksheet: Surface Area of Rectangular Prisms
- Volume: Prisms
- Handout: Volume of Prisms Worksheet
- Assignment: Volume of Prisms
- Volume: Pyramids
- Handout: Volume of Pyramids Worksheet
- Assignment: Volume of Pyramids
Statistics
- Measures of Central Tendency
- Handout: Measures of Central Tendency Worksheet
- Assignment: Measures of Central Tendency
- Line Plots
- Assignment: Line Plots
- Stem and Leaf Plots
- Assignment: Stem & Leaf Plots
- Bar Graphs
- Assignment: Bar Graphs
- Circle Graphs
- Assignment: Circle Graphs
- Using Graphs to Predict
- Assignment: Using Graphs to Predict
- Using Data to Predict
- Assignment: Using Data to Predict
- Using Sampling to Predict
- Assignment: Using Sampling to Predict
- Post-test
- Assignment: Post-test
- Handout: Statistics Project Rubric
- Handout: Statistics Project Outline
- Assignment: Statistics Project
Course Evaluation
- Handout: Course Survey
- Assignment: Course Survey
