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Curriculum Guides
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Themes: Volume is the amount of space inside a 3D figure. The number of unit cubes that fit inside a figure determines its volume. Students can use place value, area models, and other strategies to multiply multi-digit numbers and divide by two-digit divisors.
Lesson 1: Understand Volume
Lesson 2: Find Volume Using Unit Cubes
Lesson 3: Find Volume Using Formulas
Lesson 4: Multiply Multi-Digit Numbers
Lesson 5: Divide Multi-Digit Numbers
Themes: Place value in decimals follows the same base-ten patterns as whole numbers. Students can use what they know about patterns when multiplying by 10 to understand multiplying and dividing by powers of 10. Students can use what they know about equivalent fractions to add and subtract fractions with unlike denominators.
Lesson 6: Understand Decimal Place Value
Lesson 7: Understand Powers of 10
Lesson 8: Read and Write Decimals
Lesson 9: Compare and Round Decimals
-Mid-Unit Assessment-
Lesson 10: Add Decimals
Lesson 11: Subtract Decimals
Lesson 12: Add Fractions
Lesson 13: Subtract Fractions
Lesson 14: Add and Subtract in Word Problems
Themes: Students can use what they know about multiplying whole numbers to help them multiply decimals and fractions. Students will think of fractions as division expressions in which the numerator is divided by the denominator. Students can use relationships between multiplication and division to help them divide whole numbers by unit fractions and unit fractions by whole numbers.
Lesson 15: Multiply a Decimal by a Whole Number
Lesson 16: Multiply Decimals
Lesson 17: Divide Decimals
-Mid-Unit Assessment-
Lesson 18: Fractions as Division
Lesson 19: Understand Multiplication by a Fraction
Lesson 20: Multiply Fractions to Find Area
-Mid-Unit Assessment-
Lesson 21: Understand Multiplication as Scaling
Lesson 22: Multiply Fractions in Word Problems
Lesson 23: Understand Division with Unit Fractions
Lesson 24: Divide Unit Fractions in Word Problems
Themes: Students can use division to convert smaller to larger units of measurement within the same measurement system. Students can use their understanding of operations on fractions to solve problems about data presented in line plots. Students can classify two-dimensional figures into categories and subcategories based on their properties.
Lesson 25: Convert Measurement Units
Lesson 26: Solve Word Problems Involving Conversions
Lesson 27: Make Line Plots and Interpret Data
-Mid-Unit Assessment-
Lesson 28: Understand Categories of Two-Dimensional Figures
Lesson 29: Classify Two-Dimensional Figures
Theme: Grouping symbols, such as braces, brackets, and parentheses, show the order in which parts of an expression should be evaluated. Knowing how to use grouping symbols and the order of operations will allow students to correctly evaluate, write, and interpret expressions. The coordinate plane is a two-dimensional space formed by two perpendicular number lines. Knowing about the coordinate plane will help students graph and interpret points to solve real-world and mathematical problems.
Lesson 30: Evaluate, Write, and Interpret Expressions
Lesson 31: Understand the Coordinate Plane
Lesson 32: Represent Problems in the Coordinate Plane
Lesson 33: Analyze Patterns and Relationships