Subject: Math
Grade Level: 4 th
Unit Title: Multi-Digit Multiplication and Division
Big Idea/Theme: How to find the product or quotient
Understandings: What’s the Value?
Essential Questions:
How can you use models to explain multiplication?
How can you use models to explain division?
How are repeated addition and multiplication related?
Why do you use division instead of repeated subtraction?
How can estimation help you solve a math problem?
When would you use multiplication to solve real world problems?
Timeframe Needed for Completion: 4 – 5 weeks
Grading Period: 2nd nine weeks
Common Core Standards
Use place value understanding and properties of operations to perform multi-digit arithmetic
4.NBT.5 - Multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays , and/or area models.
4.NBT6 - Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors , using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.
Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Use the four operations with whole numbers to solve problems.
4.OA.1
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Gain familiarity with factors and multiples
4.OA.4 - Find all factor pairs for a whole number in the range
1 –100. Recognize that a whole number is a multiple of each of its factors . Determine whether a given whole number in the range 1
–100 is a multiple of a given one-digit number.
Determine whether a given whole number in the range 1 –100 is prime or composite .
Essential Skills/Vocabulary:
Skills
Students will be able to:
Multiply a whole number up to four digits by a one digit number
Develop fluency with two-digit by two-digit multiplication
How to use different models to solve multiplication and division facts
Develop fluency up to four-digit division
Write and identify equations and statements for multiplicative comparisons
Illustrate and or explain the calculation of the problems using a variety of strategies
Learn to estimate products and quotients
Learn to use multiplication and division facts to solve real world situations
Demonstrate and understanding of factors and multiples of whole numbers.
Understand the difference of a prime number and composite number
Understand why the number 1 is not prime
Materials Suggestions:
Goal 1
Envision math – Topics 7 -8
Investigation math – Units 1, Unit 3
Accelerated Math
Vocabulary:
Product
Quotient
Equation
Rectangular arrays
Area models
Factor
Multiple
Factor pairs
Prime
Composite
Assessment Tasks:
Formative assessments
Textbook materials
Examine View Generator
ClassScape