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| Module 1: Place Value Concepts for Multiplication and Division with Whole Numbers |
| Lesson 1: Relate adjacent place value units by using place value understanding. |
| Lesson 2: Multiply and divide by 10, 100, and 1,000 and identify patterns in the products and quotients. |
| Lesson 3: Use exponents to multiply and divide by powers of 10. |
| Lesson 4: Estimate products and quotients by using powers of 10 and their multiples. |
| Lesson 5: Convert measurements and describe relationships between metric units. |
| Lesson 6: Solve multi-step word problems by using metric conversion. |
| Lesson 7: Multiply by using familiar methods. |
| Lesson 8: Multiply two- and three-digit numbers by two-digit numbers by using the distributive property. |
| Lesson 9: Multiply two- and three-digit numbers by two-digit numbers by using the standard algorithm. |
| Lesson 10: Multiply three- and four-digit numbers by three-digit numbers by using the standard algorithm. |
| Lesson 11: Multiply two multi-digit numbers by using the standard algorithm. |
| Lesson 12: Divide two- and three-digit numbers by multiples of 10. |
| Lesson 13: Divide two-digit numbers by two-digit numbers in problems that result in one-digit quotients. |
| Lesson 14: Divide three-digit numbers by two-digit numbers in problems that result in one-digit quotients. |
| Lesson 15: Divide three-digit numbers by two-digit numbers in problems that result in two-digit quotients. |
| Lesson 16: Divide four-digit numbers by two-digit numbers. |
| Lesson 17: Write, interpret, and compare numerical expressions. |
| Lesson 18: Create and solve real-world problems for given numerical expressions. |
| Lesson 19: Solve multi-step word problems involving multiplication and division. |
| Lesson 20: Solve multi-step word problems involving the four operations. |
| Module 2: Addition and Subtraction with Fractions |
| Lesson 1: Interpret a fraction as division. |
| Lesson 2: Interpret a fraction as division by writing remainders as fractions. |
| Lesson 3: Represent fractions as division by using models. |
| Lesson 4: Solve word problems involving division and fractions. |
| Lesson 5: Add and subtract fractions with related units by using pictorial models. |
| Lesson 6: Add and subtract fractions with related units by using area models to rename fractions. |
| Lesson 7: Add and subtract fractions with related units by finding equivalent fractions numerically. |
| Lesson 8: Add and subtract fractions with unrelated units by finding equivalent fractions pictorially. |
| Lesson 9: Add and subtract fractions with unrelated units by finding equivalent fractions numerically. |
| Lesson 10: Add whole numbers and mixed numbers and add mixed numbers with related units. |
| Lesson 11: Add mixed numbers with unrelated units. |
| Lesson 12: Subtract whole numbers from mixed numbers and mixed numbers from whole numbers. |
| Lesson 13: Subtract mixed numbers from mixed numbers with related units. |
| Lesson 14: Subtract mixed numbers from mixed numbers with unrelated units. |
| Lesson 15: Represent data on a line plot. |
| Lesson 16: Solve problems by using data from a line plot. |
| Lesson 17: Solve problems by equally redistributing a total amount. |
| Module 3: Multiplication and Division with Fractions |
| Lesson 1: Find fractions of a set with arrays. |
| Lesson 2: Interpret fractions as division to find fractions of a set with tape diagrams and number lines. |
| Lesson 3: Multiply a whole number by a fraction less than 1. |
| Lesson 4: Multiply a whole number by a fraction. |
| Lesson 5: Convert larger customary measurement units to smaller measurement units. |
| Lesson 6: Convert smaller customary measurement units to larger measurement units. |
| Lesson 7: Multiply fractions less than 1 by unit fractions pictorially. |
| Lesson 8: Multiply fractions less than 1 pictorially. |
| Lesson 9: Multiply fractions by unit fractions by making simpler problems. |
| Lesson 10: Multiply fractions greater than 1 by fractions. |
| Lesson 11: Multiply fractions. |
| Lesson 12: Divide a nonzero whole number by a unit fraction to find the number of groups. |
| Lesson 13: Divide a nonzero whole number by a unit fraction to find the size of the group. |
| Lesson 14: Divide a unit fraction by a nonzero whole number. |
| Lesson 15: Divide by whole numbers and unit fractions. |
| Lesson 16: Reason about the size of quotients of whole numbers and unit fractions and quotients of unit fractions and whole numbers. |
| Lesson 17: Solve word problems involving fractions with multiplication and division. |
| Lesson 18: Compare and evaluate expressions with parentheses. |
| Lesson 19: Create and solve one-step word problems involving fractions. |
| Lesson 20: Solve multi-step word problems involving fractions and write equations with parentheses. |
| Lesson 21: Solve multi-step word problems involving fractions. |
| Lesson 22: Evaluate expressions involving nested grouping symbols. (Optional) |
| Module 4: Place Value Concepts for Decimal Operations |
| Lesson 1: Model and relate decimal place value units to thousandths. |
| Lesson 2: Represent thousandths as a place value unit. |
| Lesson 3: Represent decimal numbers to the thousandths place in different forms. |
| Lesson 4: Relate the values of digits in a decimal number by using place value understanding. |
| Lesson 5: Multiply and divide decimal numbers by powers of 10. |
| Lesson 6: Compare decimal numbers to the thousandths place. |
| Lesson 7: Round decimal numbers to the nearest one, tenth, or hundredth. |
| Lesson 8: Round decimal numbers to any place value unit. |
| Lesson 9: Add decimal numbers by using different methods. |
| Lesson 10: Add decimal numbers by using place value understanding. |
| Lesson 12: Subtract decimal numbers by using place value understanding. |
| Lesson 13: Solve word problems involving addition and subtraction of decimal numbers and fractions. |
| Lesson 14: Multiply decimal numbers to hundredths by one-digit whole numbers by using different models. |
| Lesson 15: Multiply decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using different written methods. |
| Lesson 16: Multiply decimal numbers to hundredths by two-digit whole numbers by using area models and vertical form. |
| Lesson 17: Multiply decimal numbers to hundredths by two-digit whole numbers by using different methods. |
| Lesson 18: Relate decimal-number multiplication to fraction multiplication. |
| Lesson 19: Multiply a decimal number by a decimal number. |
| Lesson 20: Divide decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using unit form and place value understanding. |
| Lesson 21: Divide decimal numbers to hundredths by one-digit whole numbers and multiples of 10, 100, or 1,000 by using place value understanding and vertical form. |
| Lesson 22: Divide decimal numbers to hundredths by two-digit whole numbers. |
| Lesson 23: Relate division by 0.1 and 0.01 to division by a unit fraction. |
| Lesson 24: Divide decimal numbers by decimal numbers, resulting in whole-number quotients. |
| Lesson 25: Divide decimal numbers by decimal numbers, resulting in decimal-number quotients. |
| Lesson 26: Solve a real-world problem involving metric measurements. (Optional) |
| Lesson 27: Convert metric measurements involving decimals. |
| Lesson 28: Convert customary measurements involving decimals. |
| Lesson 29: Interpret, evaluate, and compare numerical expressions involving decimals. |
| Lesson 30: Create and solve real-world problems for given numerical expressions involving decimals. |
| Module 5: Addition and Multiplication with Area and Volume |
| Lesson 1: Analyze hierarchies and identify properties of quadrilaterals. |
| Lesson 2: Classify trapezoids based on their properties. |
| Lesson 3: Classify parallelograms based on their properties. |
| Lesson 4: Classify rectangles and rhombuses based on their properties. |
| Lesson 5: Classify kites and squares based on their properties. |
| Lesson 6: Identify quadrilaterals from given properties. |
| Lesson 7: Classify quadrilaterals in a hierarchy based on properties. |
| Lesson 8: Find areas of square tiles with fraction side lengths by relating the tile to a unit square. |
| Lesson 9: Organize, count, and represent a collection of square tiles. |
| Lesson 10: Find the area of a rectangle with fraction side lengths by relating the rectangle to a unit square. |
| Lesson 11: Find areas of rectangles with fraction side lengths by using multiplication. |
| Lesson 12: Multiply mixed numbers. |
| Lesson 13: Solve mathematical problems involving areas of composite figures with mixed-number side lengths. |
| Lesson 14: Solve real-world problems involving areas of composite figures with mixed-number side lengths. |
| Lesson 15: Solve multi-step word problems involving multiplication of mixed numbers. |
| Lesson 16: Identify attributes and properties of right rectangular prisms. |
| Lesson 17: Find the volume of right rectangular prisms by packing with unit cubes and counting. |
| Lesson 18: Find the volume of right rectangular prisms by packing with improvised units. |
| Lesson 19: Compose and decompose right rectangular prisms to find their volume by using layers. |
| Lesson 20: Interpret volume as filling. |
| Lesson 21: Relate volumes of solids and liquid volume. |
| Lesson 22: Find the volumes of right rectangular prisms by using the area of the base. |
| Lesson 23: Find the volumes of right rectangular prisms by multiplying the edge lengths. |
| Lesson 24: Solve word problems involving volumes of right rectangular prisms. |
| Lesson 25: Find the volumes of solid figures composed of right rectangular prisms. |
| Lesson 26: Solve word problems involving perimeter, area, and volume. |
| Lesson 27: Apply concepts and formulas of volume to design a sculpture by using right rectangular prisms, part 1. |
| Lesson 28: Apply concepts and formulas of volume to design a sculpture by using right rectangular prisms, part 2. |
| Module 6: Foundations to Geometry in the Coordinate Plane |
| Lesson 1: Construct a coordinate system on a line. |
| Lesson 2: Construct a coordinate system in a plane. |
| Lesson 3: Identify and plot points by using ordered pairs. |
| Lesson 4: Describe the distance and direction between points in the coordinate plane. |
| Lesson 5: Identify properties of horizontal and vertical lines. |
| Lesson 6: Use properties of horizontal and vertical lines to solve problems. |
| Lesson 7: Generate number patterns to form ordered pairs. |
| Lesson 8: Identify addition and subtraction relationships between corresponding terms in number patterns. |
| Lesson 9: Identify multiplication and division relationships between corresponding terms in number patterns. |
| Lesson 10: Identify mixed-operation relationships between corresponding terms in number patterns. (Optional) |
| Lesson 11: Draw lines in the coordinate plane and identify points on the lines. |
| Lesson 12: Graph and classify quadrilaterals in the coordinate plane. |
| Lesson 13: Draw symmetric figures in the coordinate plane. |
| Lesson 14: Solve mathematical problems with rectangles in the coordinate plane. |
| Lesson 15: Use the coordinate plane to reason about perimeters and areas of rectangles. |
| Lesson 16: Interpret graphs that represent real-world situations. |
| Lesson 17: Plot data in the coordinate plane and analyze relationships. |
| Lesson 18: Interpret line graphs. |
| Lesson 19: Reason about visual patterns by using tables and graphs. (Optional) |
| Lesson 20: Reason about patterns in real-world situations. |