Module 3
Mathematical Concept Online Help Common Core Standards
Word Problems using a Bar Model (aka Tape Diagram) and the RDWW strategy we use in class:
R ead the word problem & extract (underline) the information needed to solve the problem
Draw picture to represent the problem
Write a number sentence horizontally to represent your drawing
Write an explanation of your answer to check for reasonableness Word Problems using a Bar Diagram & RDWW This strategy is used throughout the
Common Core curriculum to solve word problems
Lessons 1-3: Area and Perimeter formulas
Finding the perimeter
Determining the missing side in perimeter
Finding the area
Determining the missing side in area
4.MD.3
Lessons 4&5: Use a place value chart to multiply by 10, 100, and 1,000 Using place value to multiply by 10, 100, 1,000 4.NBT.5
Lesson 6: Using the area models and array models to multiply
Multiplication with the area and array models
Multiplication with the area model
Multiplication with number bonds
4.OA.4
4.NBT.5
Lesson 7: Multiply two digit number by one digit number Multiplying with a place value chart 4.OA.3
4.NBT.5
Lesson 8: Apply place value chart model to multiplying larger numbers & using partial products method to multiply
Multiplying with a place value chart
Multiplying with partial products
4.NBT.5
Lessons 9 & 10: Apply partial products method to multiply a standard multiplication algorithm
Multiplying with partial products
Multiplication algorithm
Multiplication word problems
4.OA.3
4.NBT.5
Lesson 11: Use the area model and partial products to complete a standard multiplication algorithm Use the area model to multiply large numbers
4.NBT.5
Lesson 12: Use a tape diagram to solve multi-step multiplication word problems Multi-step multiplication word problems 4.OA.3
Lesson 13: Solve multi-step word problems that have multiple operations Multi-step word problems with multiple operations 4.OA.3
Lessons 14 & 15:Solve division problems with different models
Division with an array model
Understanding the bar model in division
Understanding what to do with the remainder in a word problem
Interpret a remainder
4.NBT.6
Lessons 16-19 :Solve division algorithms with place value Division with place value (concept is well represented, where she "cashes in" we unbundle) to understand the division algorithm 4.NBT.6
Lesson 20-21: Use the area model to solve division problems Area model used to solve division word problems 4.NBT.6
Lesson 22: Use factor pairs to understand prime and composite numbers Use factors to identify prime and composite numbers 4.OA.4
Lesson 23: Use division or the Associative Property to test for factors
Use division to find factors of a number
The Associative Property of Multiplication
4.OA.4
Lesson 24: Determine whether a whole number is a multiple of another whole number with the use of division
Use divisibility rules to determine whether a number is a multiple of 2, 3, or 6
Use divisibility rules to determine whether a number is a multiple of 4 or 7
4.OA.4
Lesson 25: Identify prime and composite numbers Prime and composite numbers 4.OA.4
Lessons 26-32: Use place value to divide large dividends by a single divisor
Division with place value (concept is well represented, where she "cashes in" we unbundle) to understand the division algorithm
Divide three digit dividends using "friendly multiples"
Divide four digit dividends using "friendly multiples"
4.OA.3
4.NBT.6
Lesson 33: Use the area model of division to explain the algorithm
Area model for division (when doing this, show the algorithm in correlation with the area model for visual effect) 4.OA.3
4.NBT.6
Lessons 34- 38: Use the area model, array, partial products and place value chart to multiply two-digit factors
Area model and array for two-digit multiplication
Area model for two digit multiplication
Partial products for two digit multiplication
Two-digit multiplication algorithm
4.NBT.5