5th Grade

MODULE 1 - PLACE VALUE AND DECIMAL FRACTIONS

• TOPIC A - MULTIPLICATIVE PATTERNS ON THE PLACE VALUE CHART (Lessons 1-4)

• TOPIC B - DECIMAL FRACTIONS AND PLACE VALUE PATTERNS (Lessons 5-6)

• TOPIC C - PLACE VALUE AND ROUNDING DECIMAL FRACTIONS (Lessons 7-8)

• TOPIC D - ADDING AND SUBTRACTING DECIMALS (Lessons 9-10)

• TOPIC E - MULTIPLYING DECIMALS (Lessons 11-12)

• TOPIC F - DIVIDING DECIMALS (Lessons 13-16)

• SUMMARY

MODULE 2 - MULTI-DIGIT WHOLE NUMBER AND DECIMAL FRACTION OPERATIONS

• TOPIC A - MENTAL STRATEGIES FOR MULTI-DIGIT WHOLE NUMBER MULTIPLICATION (Lessons 1-2)

• TOPIC B - THE STANDARD ALGORITHM FOR MULTI-DIGIT WHOLE NUMBER MULTIPLICATION (Lessons 3-9)

• TOPIC C - DECIMAL MULTI-DIGIT MULTIPLICATION (Lessons 10-12)

• TOPIC D - MEASUREMENT WORD PROBLEMS WITH WHOLE NUMBER AND DECIMAL MULTIPLICATION (Lessons 13-15)

• TOPIC E - MENTAL STRATEGIES FOR MULTI-DIGIT WHOLE NUMBER DIVISION (Lessons 16-18)

• TOPIC F - PARTIAL QUOTIENTS AND MULTI-DIGIT WHOLE NUMBER DIVISION (Lessons 19-23)

• TOPIC G - PARTIAL QUOTIENTS AND MULTI-DIGIT DECIMAL DIVISION (Lessons 24-27)

• TOPIC H - MEASUREMENT WORD PROBLEMS WITH MULTI-DIGIT DIVISION (Lessons 28-29)

• SUMMARY

MODULE 3 - ADDITION AND SUBTRACTION OF FRACTIONS

• TOPIC A - EQUIVALENT FRACTIONS (Lessons 1-2)

• TOPIC B - MAKING LIKE UNITS PICTORIALLY (Lessons 3-7)

• TOPIC C - MAKING LIKE UNITS NUMERICALLY (Lessons 8-12)

• TOPIC D - FURTHER APPLICATIONS (Lessons 13-16)

• SUMMARY

MODULE 4 - MULTIPLICATION AND DIVISION OF FRACTIONS AND DECIMAL FRACTIONS

• TOPIC A - LINE PLOTS OF FRACTION MEASUREMENTS (Lesson 1)

• TOPIC B - FRACTIONS AS DIVISION (Lessons 2-5)

• TOPIC C - MULTIPLICATION OF A WHOLE NUMBER BY A FRACTION (Lessons 6-9)

• TOPIC D - FRACTION EXPRESSIONS AND WORD PROBLEMS (Lessons 10-12)

• TOPIC E - MULTIPLICATION OF A FRACTION BY A FRACTION (Lessons 13-20)

• TOPIC F - MULTIPLICATION WITH FRACTIONS AND DECIMALS AS SCALING AND WORD PROBLEMS (Lessons 21-24)

• TOPIC G - DIVISION OF FRACTIONS AND DECIMAL FRACTIONS (Lessons 25-31)

• TOPIC H - INTERPRETATION OF NUMERICAL EXPRESSIONS (Lessons 32-33)

• SUMMARY

MODULE 5 - ADDITION AND MULTIPLICATION WITH VOLUME AND AREA

• TOPIC A - CONCEPTS OF VOLUME (Lessons 1-3)

• TOPIC B - VOLUME AND THE OPERATIONS OF MULTIPLICATION AND ADDITION (Lessons 4-9)

• TOPIC C - AREA OF RECTANGULAR FIGURES WITH FRACTIONAL SIDE LENGTHS (Lessons 10-15)

• TOPIC D - DRAWING, ANALYSIS, AND CLASSIFICATION OF TWO-DIMENSIONAL SHAPES (Lessons 16-21)

• SUMMARY

MODULE 6 - PROBLEM SOLVING WITH THE COORDINATE PLANE

• TOPIC A - COORDINATE SYSTEMS (Lessons 1-6)

• TOPIC B - PATTERNS IN THE COORDINATE PLANE AND GRAPHING NUMBER PATTERNS FROM RULES (Lessons 7-12)

• TOPIC C - DRAWING FIGURES IN THE COORDINATE PLANE (Lessons 13-17)

• TOPIC D - PROBLEM SOLVING IN THE COORDINATE PLANE (Lessons 18-20)

• TOPIC E - MULTI-STEP WORD PROBLEMS (Lessons 21-25)

• TOPIC F - THE YEARS IN REVIEW - A REFLECTION ON "A STORY OF UNITS" (Lessons 26-34)

• SUMMARY