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# Grade-5 Mathematics Course Outline

This course is aligned with the Common Core Standards for 5th grade mathematics and focuses on three critical areas.

First, the students will become skilled at the addition and subtraction of fractions. They will continue to develop understanding of the multiplication of fractions and learn to do some simple division of fractions. The students use the meaning of fractions, of multiplication and division to understand why the processes for multiplying and dividing fractions make sense.

Second, the students will expand their knowledge of division to include 2-digit divisors and decimal operations. The students will have mastered multi-digit addition, subtraction, multiplication, and division. The students will learn how to add and subtract numbers with decimals to the hundredths. They also develop and understanding of the relationship between fractions and decimals.

Third, the students will develop an understanding of volume as a property of three-dimensional space. They will learn how to approach and solve problems regarding the estimation and measurement of volume.

1- Introduction

- Introduction
- Pretest
- Assignment: Pretest

2- Number Sense

- Place Value Through Billions
- Handout: Place Value through Billions
- Assignment: Place Value Through Billions
- Place Value & Exponents
- Handout: Place Value & Exponents Worksheet
- Assignment: Place Value & Exponents
- Compare Whole Numbers
- Handout: Compare Whole Numbers Worksheet
- Assignment: Compare Whole Numbers
- Represent Decimals
- Handout: Represent Decimals Worksheet
- Assignment: Represent Decimals
- Place Value through Thousandths
- Handout: Place Value through Thousandths Worksheet
- Assignment: Place Value Through Thousandths
- Compare Decimals
- Handout: Compare Decimals Worksheet
- Assignment: Compare Decimals
- Order Whole Numbers and Decimals
- Handout: Order Whole Numbers & Decimals
- Assignment: Order Whole Numbers and Decimals
- Handout: Chapter 1 Cumulative Test
- Assignment: Chapter 1 Cumulative Test

3- Addition

- Round Whole Numbers and Decimals
- Handout: Round Whole Numbers & Decimals Worksheet
- Assignment: Round Whole Numbers and Decimals
- Estimate Sums and Differences
- Handout: Estimate Sums & Differences Worksheet
- Assignment: Estimate Sums and Difference
- Add and Subtract Whole Numbers
- Handout: Add & Subtract Whole Numbers Worksheet
- Assignment: Add and Subtract Whole Numbers
- Add and Subtract Decimals
- Handout: Add & Subtract Decimals
- Assignment: Add and Subtract Decimals
- Addition Properties
- Handout: Addition Properties Worksheet
- Assignment: Addition Properties
- Add and Subtract Mentally
- Handout: Add & Subtract Mentally Worksheet
- Assignment: Add and Subtract Mentally
- Handout: Chapter 2 Cumulative Test
- Assignment: Chapter 2 Cumulative Test

4- Multiplication

- Multiplication Patterns
- Handout: Multiplication Patterns Worksheet
- Assignment: Multiplication Patterns
- The Distributive Property
- Handout: Distributive Property Assignment
- Assignment: The Distributive Property
- Estimate Products
- Handout: Estimate Products Worksheet
- Assignment: Estimate Products
- Multiply by One-Digit Numbers
- Handout: Multiply by One-Digit Numbers Worksheet
- Assignment: Multiply by One-Digit Numbers
- Multiply by Two-Digit Numbers
- Handout: Multiply by Two-Digit Numbers Worksheet
- Assignment: Multiply by Two-Digit Numbers
- Multiplication Properties
- Handout: Multiplication Properties
- Assignment: Multiplication Properties
- Extending Multiplication
- Handout: Extending Multiplication Worksheet
- Assignment: Extending Multiplication
- Handout: Chapter 3 Cumulative Test
- Assignment: Chapter 3 Cumulative Test

5- Division

- Division Patterns
- Handout: Division Patterns Worksheet
- Assignment: Division Patterns
- Estimate Quotients
- Handout: Estimate Quotients Worksheet
- Assignment: Estimate Quotients
- Divide by One Digit Numbers
- Handout: Divide by One-Digit Numbers Worksheet
- Assignment: Divide by One-Digit Numbers
- Divide by Two Digit Numbers
- Handout: Divide by Two-Digit Numbers Worksheet
- Assignment: Divide by Two-Digit Numbers
- Interpret the Remainder
- Handout: Interpret the Remainder Workheet
- Assignment: Interpret the Remainder
- Extending Division
- Handout: Extending Division Worksheet
- Assignment: Extending Division
- Handout: Chapter 4 Cumulative Test
- Assignment: Chapter 4 Cumulative Test

6- Expressions

- Addition Expressions
- Handout: Addition Expressions Worksheet
- Assignment: Addition Expressions
- Multiplication Expressions
- Handout: Multiplication Expressions Worksheet
- Assignment: Multiplication Expressions
- More Algebraic Expressions
- Handout: More Algebraic Expressions Worksheet
- Assignment: More Algebraic Expressions
- Function Tables
- Handout: Function Tables Worksheet
- Assignment: Function Tables
- Order of Operations
- Handout: Order of Operations Worksheet
- Assignment: Order of Operations
- Handout: Chapter 5 Cumulative Test
- Assignment: Chapter 5 Cumulative Test

7- Equations

- Addition and Subtraction Equations
- Handout: Addition & Subtraction Equations Worksheet
- Assignment: Addition and Subtraction Equations
- Multiplication Equations
- Handout: Multiplication Equations Worksheet
- Assignment: Multiplication Equations
- Geometry: Ordered Pairs
- Handout: Ordered Pairs Worksheet
- Assignment: Geometry: Ordered Pairs
- Algebra & Geometry: Graph Functions
- Handout: Graph Functions Worksheet
- Assignment: Algebra and Geometry: Graph Functions
- Functions and Equations
- Handout: Functions & Equations Worksheet
- Assignment: Functions and Equations
- Midtest
- Assignment: Midtest
- Handout: Chapter 6 Cumulative Test
- Assignment: Chapter 6 Cumulative Test

8- Graphs & Charts

- Mean, Median, and Mode
- Handout: Mean, Median & Mode
- Assignment: Mean, Median, and Mode
- Line Plots
- Handout: Line Plots Worksheet
- Assignment: Line Plots
- Frequency Tables
- Handout: Frequency Tables Worksheet
- Assignment: Frequency Tables
- Scales and Intervals
- Handout: Scales & Intervals Worksheet
- Assignment: Scales and Intervals
- Bar Graphs
- Handout: Bar Graphs Worksheet
- Assignment: Bar Graphs
- Line Graphs
- Handout: Line Graphs Worksheet
- Assignment: Line Graphs
- Handout: Chapter 7 Cumulative Test
- Assignment: Chapter 7 Cumulative Test

9- Fractions

- Prime & Composite Numbers
- Quiz: Prime & Composite Numbers
- Greatest Common Factor
- Handout: Greatest Common Factor Worksheet
- Assignment: Greatest Common Factor
- Least Common Multiple
- Handout: Least Common Multiple Worksheet
- Assignment: Least Common Multiple
- Fractions & Division
- Handout: Fractions Worksheet
- Assignment: Fractions
- Improper Fractions
- Handout: Improper Fractions Worksheet
- Assignment: Improper Fractions
- Mixed Numbers
- Handout: Mixed Numbers Worksheet
- Assignment: Mixed Numbers
- Equivalent Fractions
- Handout: Equivalent Fractions
- Assignment: Equivalent Fractions
- Handout: Chapter 8 Cumulative Test
- Assignment: Chapter 8 Cumulative Test

10- Operations with Fractions

- Add & Subtract Fractions With Like Denominators
- Handout: Add & Subtract Like Fractions Worksheet
- Assignment: Add & Subtract Like Fractions
- Add & Subtract Fractions With Unlike Denominators
- Handout: Add & Subtract Unlike Fractions Worksheet
- Assignment: Add & Subtract Unlike Fractions
- Add & Subtract Mixed Numbers With Unlike Denominators
- Handout: Add & Subtract Mixed Numbers Worksheet
- Assignment: Add & Subtract Mixed Numbers
- Problem-Solving: Draw a Picture
- Handout: Draw a Picture Worksheet
- Assignment: Draw a Picture
- Multiplying Fractions
- Handout: Multiplying Fractions Worksheet
- Assignment: Multiplying Fractions
- Multiplying Mixed Numbers
- Handout: Multiply Mixed Numbers with Fractions Worksheet
- Assignment: Multiplying Mixed Numbers with Fractions
- Dividing Fractions
- Handout: Dividing Fractions Worksheet
- Worksheet: Finding Reciprocals
- Assignment: Dividing Fractions
- Dividing Mixed Numbers
- Handout: Dividing Mixed Numbers Worksheet
- Assignment: Dividing Mixed Numbers
- Handout: Chapter 9 Cumulative Test
- Assignment: Chapter 9 Cumulative Test

11- Geometry

- Points, Lines & Rays
- Worksheet: Point, Lines & Planes
- Angles
- Assignment: Drawing Angles
- Triangles
- Handout: Triangles Worksheet
- Assignment: Triangles
- Quadrilaterals & Polygons
- Handout: Quadrilaterals & Polygons Worksheet
- Assignment: Quadrilaterals & Polygons
- Circles
- Handout: Circles Worksheet
- Assignment: Circles
- Perimeter
- Handout: Perimeter Worksheet
- Assignment: Perimeter
- Area of Parallelograms
- Handout: Area of Parallelograms Worksheet
- Assignment: Area of Parallelograms
- Area of Triangles
- Assignment: Area of Triangles
- Circumference
- Handout: Circumference Worksheet
- Assignment: Circumference
- Handout: Chapter 10 Cumulative Test
- Assignment: Chapter 10 Cumulative Test

12- Solids

- Solids
- Handout: Solids Worksheet
- Assignment: Solids
- Nets
- Handout: Square Pyramid Net
- Handout: Triangular Prism Net
- Handout: Cube Net
- Worksheet: Nets
- Surface Area
- Handout: Surface Area Worksheet
- Assignment: Surface Area
- Volume
- Handout: Volume
- Handout: Counting Volume Worksheet
- Assignment: Counting Volume
- Assignment: Volume
- Post-test
- Assignment: Post-test
- Handout: Chapter 11 Cumulative Test
- Assignment: Chapter 11 Cumulative Test

13- Course Survey

- Course Survey
- Handout: Course Survey
- Assignment: Course Survey

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