Chapter 2

Estimation & Number Theory

4th Grade: Chapter 2 Outline

Week 5 - Week 7

Essential Questions:

  • How can I round numbers to estimate sums, differences, products, and quotients?
  • How can I estimate to check that my answer is reasonable?
  • How do I decide if an exact answer or estimate is needed?
  • How can I multiply the factors to find the product?
  • How can knowing my multiples help me find the product?
  • How can I determine prime and composite numbers by listing my factors.

Content:

Students will know and understand:

    • Factors
    • Multiples
    • Common Factors
    • Greatest Common Factors
    • Prime Numbers
    • Composite Numbers
    • Estimate
    • Reasonable
    • Estimation
    • Rounding
    • Product
    • Quotient

Skills:

Students Will:

    • Round numbers to estimate sums, differences, products, and quotients.
    • Estimate to check that an answer is reasonable.
    • Decide whether an estimate or an exact answer to needed.
    • Multiply two factors to find the product.
    • Find the common factors and greatest common factor of two whole numbers.
    • Identify prime numbers and composite numbers.

Assessment

Chapter 2 Assessment: Estimation & Number Theory

Formative Test: Common

Upon completion of Unit 2:

  • 4.OA.B.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.
  • 4.NBT.A.3. Use place value understanding to round multi-digit whole numbers to any place.
  • 4.NBT.B.4. Fluently add and subtract multi-digit whole numbers using the standard algorithm.
  • 4.NBT.B.5. Multiply a whole number of up to four digits by a one-digit whole number, and 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.NBT.B.6. 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.
  • MP.3. Construct viable arguments and critique the reasoning of others.
  • MP.4. Model with mathematics.
  • MP.6. Attend to precision.