Our fully accredited 5th Grade Math course, aligned with the Common Core standards, is expertly designed to build upon the robust foundations laid down in our 4th Grade course. This comprehensive course empowers students to master the standard algorithms for multiplication, division, and arithmetic involving fractions and decimals. Beyond computations, students will delve deeper into vital mathematical concepts, including numerical expressions, negative numbers, units of measurement, exponents, number patterns, and geometry. Finally, the course requires students to apply their knowledge across varying contexts, fostering a holistic understanding of mathematics and its practical applications.
In this engaging and comprehensive course, students will achieve mastery of the standard algorithms for multi-digit multiplication and division. After mastering these fundamental techniques, students will extend their understanding to solving problems involving multi-digit decimals.
The course enables students to deepen their knowledge and computational fluency in fractions and mixed number operations. Students will achieve proficiency in fraction addition and subtraction with unlike denominators and fraction multiplication and division.
As part of their journey, students will delve deeper into algebra fundamentals. This includes exploring negative numbers, constructing numerical expressions, an introduction to exponents, and further developing their understanding of number patterns.
Throughout the course, students will apply their mathematical understanding to various real-world scenarios, geometric contexts, and mathematical problems, reinforcing the practical application of the skills they have learned.
Upon successful completion of the course, students will have attained the necessary skills and knowledge to seamlessly progress to our Prealgebra course. This is a critical stepping stone towards our rigorous high-school math curriculum, setting students on a path toward mathematical confidence and success.
| 1.1.1. | Evaluating Whole Number Expressions | |
| 1.1.2. | Evaluating Whole Number Expressions With Parentheses | |
| 1.1.3. | Creating and Interpreting Whole Number Expressions | |
| 1.1.4. | Creating Whole Number Expressions From Terminology | |
| 1.1.5. | Additive Comparisons of Whole Number Expressions | |
| 1.1.6. | Multiplicative Comparisons of Whole Number Expressions |
| 1.2.1. | Negative Numbers | |
| 1.2.2. | Comparing Negative Numbers | |
| 1.2.3. | Absolute Value |
| 2.3.1. | Multiplying Numbers by Powers of Ten Using Place Value | |
| 2.3.2. | Two-Digit by One-Digit Multiplication | |
| 2.3.3. | Three- and Four-Digit by One-Digit Multiplication | |
| 2.3.4. | Five- and Six-Digit by One-Digit Multiplication | |
| 2.3.5. | Two-Digit by Two-Digit Multiplication | |
| 2.3.6. | Multi-Digit by Two-Digit Multiplication | |
| 2.3.7. | Three-Digit by Three-Digit Multiplication |
| 2.4.1. | Two-Digit by One-Digit Division | |
| 2.4.2. | Three-Digit by One-Digit Division | |
| 2.4.3. | Four-Digit by One-Digit Division | |
| 2.4.4. | Using Fractions to Represent Division of Whole Numbers | |
| 2.4.5. | Dividing Numbers by One-Digit Numbers With Rounding | |
| 2.4.6. | Dividing Numbers by One-Digit Numbers: Interpreting the Remainder | |
| 2.4.7. | Dividing by Two-Digit Numbers by Connecting Multiplication and Division | |
| 2.4.8. | Dividing by Two-Digit Numbers With Remainders by Connecting Multiplication and Division | |
| 2.4.9. | Multi-Digit by Two-Digit Division Using Partial Quotients | |
| 2.4.10. | Three-Digit by Two-Digit Division | |
| 2.4.11. | Four-Digit by Two-Digit Division |
| 3.5.1. | Adding Fractions and Whole Numbers Using Models | |
| 3.5.2. | Adding Fractions and Whole Numbers | |
| 3.5.3. | Subtracting Fractions and Whole Numbers Using Models | |
| 3.5.4. | Subtracting Fractions and Whole Numbers |
| 3.6.1. | Estimating Sums and Differences of Fractions | |
| 3.6.2. | Adding Fractions With Unlike Denominators Using Models | |
| 3.6.3. | Subtracting Fractions With Unlike Denominators Using Models | |
| 3.6.4. | Adding Fractions With Unlike Denominators | |
| 3.6.5. | Subtracting Fractions With Unlike Denominators | |
| 3.6.6. | Adding and Subtracting Fractions With Unlike Denominators: Word Problems |
| 3.7.1. | Adding Mixed Numbers With Unlike Denominators | |
| 3.7.2. | Subtracting Mixed Numbers With Unlike Denominators | |
| 3.7.3. | Subtracting Mixed Numbers With Unlike Denominators Using Improper Fractions | |
| 3.7.4. | Adding and Subtracting Mixed Numbers With Unlike Denominators: Word Problems |
| 4.8.1. | Multiplying Fractions by Unit Fractions Using Models | |
| 4.8.2. | Multiplying Fractions Using Models | |
| 4.8.3. | Multiplying Fractions | |
| 4.8.4. | Multiplying Fractions: Word Problems | |
| 4.8.5. | Multiplying Fractions by Swapping Denominators | |
| 4.8.6. | Multiplying Mixed Numbers by Whole Numbers | |
| 4.8.7. | Multiplying Mixed Numbers by Fractions | |
| 4.8.8. | Multiplying Mixed Numbers | |
| 4.8.9. | Multiplying Mixed Numbers: Word Problems | |
| 4.8.10. | Connecting Fraction Multiplication and Area | |
| 4.8.11. | Finding Areas Using Fraction Multiplication | |
| 4.8.12. | Fraction Multiplication Number Sense |
| 4.9.1. | Interpreting Fraction Division Using Area Models | |
| 4.9.2. | Dividing Whole Numbers by Unit Fractions Using Models | |
| 4.9.3. | Dividing Whole Numbers by Unit Fractions | |
| 4.9.4. | Dividing Unit Fractions by Whole Numbers Using Models | |
| 4.9.5. | Dividing Unit Fractions by Whole Numbers | |
| 4.9.6. | Reciprocals | |
| 4.9.7. | Dividing Whole Numbers by Fractions Using Models: Whole Number Results | |
| 4.9.8. | Dividing Whole Numbers by Fractions Using Models: Fractional Results | |
| 4.9.9. | Dividing Whole Numbers by Fractions | |
| 4.9.10. | Dividing Fractions by Whole Numbers Using Models | |
| 4.9.11. | Dividing Fractions by Whole Numbers | |
| 4.9.12. | Dividing Fractions and Whole Numbers: Word Problems | |
| 4.9.13. | Dividing Fractions Using Models | |
| 4.9.14. | Dividing Fractions |
| 5.10.1. | The Place Value System With Decimals | |
| 5.10.2. | Comparing Place Values With Decimals | |
| 5.10.3. | Reading and Writing Decimals Written in Words | |
| 5.10.4. | Converting Decimals From Standard to Expanded Form | |
| 5.10.5. | Converting Decimals From Expanded to Standard Form | |
| 5.10.6. | Equivalent Decimals | |
| 5.10.7. | Comparing Decimals | |
| 5.10.8. | Rounding Down Decimals | |
| 5.10.9. | Rounding Up Decimals | |
| 5.10.10. | Significant Figures | |
| 5.10.11. | Significant Figures With Decimals |
| 5.11.1. | Estimating Decimal Addition and Subtraction | |
| 5.11.2. | Adding Decimals | |
| 5.11.3. | Addition With Unequal Numbers of Decimals | |
| 5.11.4. | Subtracting Decimals | |
| 5.11.5. | Subtraction With Unequal Numbers of Decimals | |
| 5.11.6. | Estimating Decimal Addition With Benchmarks | |
| 5.11.7. | Estimating Decimal Subtraction With Benchmarks |
| 6.12.1. | Multiplying Decimals by Powers of Ten Using Place Value | |
| 6.12.2. | Multiplying Decimals by Powers of Ten Using Decimal Point Placement | |
| 6.12.3. | Estimating Decimal Multiplication | |
| 6.12.4. | Multiplying a Decimal by a One-Digit Whole Number | |
| 6.12.5. | Multiplying a Decimal by a Multi-Digit Whole Number | |
| 6.12.6. | Multiplying Two-Digit Decimals | |
| 6.12.7. | Multiplying Two-Digit Decimals by Three-Digit Decimals | |
| 6.12.8. | Multiplying Three-Digit Decimals |
| 6.13.1. | Dividing Decimals by Powers of Ten Using Place Value | |
| 6.13.2. | Dividing Decimals by Powers of Ten Using Decimal Point Placement | |
| 6.13.3. | Estimating Decimal Division | |
| 6.13.4. | Dividing Decimals Using Place Value Stretegies | |
| 6.13.5. | Division of Whole Numbers With Decimal Quotients | |
| 6.13.6. | Division of Whole Numbers With Decimal Quotients and Rounding | |
| 6.13.7. | Dividing Decimals Using the Standard Algorithm | |
| 6.13.8. | Dividing Three-Digit Decimals by Two-Digit Decimals | |
| 6.13.9. | Dividing Four-Digit and Five-Digit Decimals |
| 7.14.1. | Powers of Ten | |
| 7.14.2. | Multiplying Numbers by Powers of Ten With Exponents | |
| 7.14.3. | Multiplying Decimals by Powers of Ten With Exponents | |
| 7.14.4. | Introduction to Exponents | |
| 7.14.5. | Evaluating Exponents | |
| 7.14.6. | Evaluating Larger Exponents | |
| 7.14.7. | Evaluating Exponents With Fractional Bases | |
| 7.14.8. | Evaluating Exponents With Decimal Bases | |
| 7.14.9. | Comparing Exponents | |
| 7.14.10. | Evaluating Whole Number Expressions Containing Exponents |
| 8.15.1. | Converting Metric Units of Length to Larger Units | |
| 8.15.2. | Converting Customary Units of Length to Larger Units | |
| 8.15.3. | Converting Units of Volume to Larger Units | |
| 8.15.4. | Converting Units of Mass to Larger Units | |
| 8.15.5. | Converting Units of Time to Larger Units | |
| 8.15.6. | Operations on Fractions With Line Plots |
| 8.16.1. | Describing the Coordinate Plane | |
| 8.16.2. | Solving Real World Problems Using Coordinates | |
| 8.16.3. | Coordinate Planes as Maps |
| 8.17.1. | Connecting Patterns | |
| 8.17.2. | Comparing Patterns | |
| 8.17.3. | Graphing Patterns |
| 9.18.1. | Understanding Volume Using Unit Cubes | |
| 9.18.2. | Units of Area and Volume | |
| 9.18.3. | Volumes of Right Rectangular Prisms | |
| 9.18.4. | Volumes of Right Rectangular Prisms: Word Problems |
| 9.19.1. | Polygons | |
| 9.19.2. | Quadrilaterals | |
| 9.19.3. | Rectangles, Rhombuses, and Squares | |
| 9.19.4. | Classifying Quadrilaterals |