Unit 2

Multi-digit Multiplication and Division

Unit 2 Overview:

In this unit students will review third grade standards to fluently multiply and divide within 100 and continue to build understanding of the relationship between multiplication and division, and the properties of operations. For multiplication students will begin with two-digit by one-digit factors. In division students should begin with two-digit dividends and one-digit divisors. Later, students will find products of four-digit by 1 digit and two-digit by two-digit factors and quotients and remainders with up to four-digit dividends and one-digit divisors. Students will be asked to assess the reasonableness of answers using mental computation and estimation strategies, including rounding. Students will use their understanding of place value and properties of operations to fluently add and subtract multi-digit numbers. Fourth graders will illustrate and explain their calculation by using equations, rectangular arrays, and/or area models. Students will gain familiarity with factors and multiples in this unit. They will be able to determine if a number is prime or composite. Fourth graders will also generate and analyze patterns.

  1. Students will find all factor pairs for a whole number in the range 1-100 and recognize that a whole number is a multiple of each of its factors. (OA.B.4)
  2. Students will determine whether a given whole number is prime or composite in the range of 1-100. (OA.B.4)
  3. Students will generate a number or shape pattern that follows a given rule and identify explicit features of the pattern that are not explicit to the rule itself. (OA.C.5)
  4. Students will distinguish between additive and multiplicative comparison situations using concrete materials, pictures, words, and numbers. (OA.A.1 & OA.A.2)
  5. Students will multiply a whole number of up to 4 digits by a one digit whole number using strategies based on place value and the properties of operations. (NBT.B.5)
  6. Students will divide a whole number of up to 3 digits by a one digit whole number with remainders using strategies based on place value, properties of operations, and/or the relationship between multiplication and division. (NBT.B.6)


Grade 4 Unit 2 Family Resource

Resources

Parent Resources

Does your fourth grader multiply two digit numbers (or larger)? - Video

Questions to Ask

  • Choose two 3 digit numbers less than 100. Write and solve an addition and related subtraction number story using these numbers.
  • How can you break apart 36 X 4 to make a simpler problem?
  • When is regrouping needed in addition and subtraction?
  • How is multiplying a multi-digit number similar to multiplying a single-digit number?
  • How many ways can you interpret a multiplication equation? (an array, repeated addition, comparison)
  • I added 2 prime numbers together and got a sum that is less than 15. What might the 2 numbers be? Show all possible solutions.

Videos

Prime and Composite Numbers - Interactive STUDY JAM showing strategies for solving number patterns.


Websites/Games

  • King Kong - An interactive game in which you identify whether or not numbers are prime or composite
  • Fruit Splat - An interactive game in which you identify whether numbers are prime or composite
  • King Kong - An interactive game in which you identify whether or not numbers are prime or composite

Other Resources

Math Words

These are vocabulary words that students will be exposed to throughout the unit.



  • composite
  • factor
  • factor pairs
  • multiple
  • prime
  • product
  • function table
  • pattern
  • repeating
  • sequence
  • strategy
  • table
  • bar diagram
  • equation
  • multiple
  • multiplicative comparison
  • multiplier
  • product
  • times as many as
  • times as much as
  • times more than
  • unknown variable