Curriculum / Math / 5th Grade / Unit 2: Multiplication and Division of Whole Numbers / Lesson 4
Math
Unit 2
5th Grade
Lesson 4 of 20
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Lesson Notes
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Multiply multiples of powers of ten. Estimate multi-digit products by rounding numbers to their largest place value.
The core standards covered in this lesson
5.NBT.B.5 — Fluently multiply multi-digit whole numbers using the standard algorithm.
The foundational standards covered in this lesson
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.
5.NBT.A.1 — Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
5.NBT.A.2 — Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Throughout Lesson 4—10, students see and make use of structure (MP.7) and attend to precision (MP.6) as they decompose numbers into sums of multiples of base-ten units to multiply them.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
a. Solve.
b. What do you notice about Part (a)? What do you wonder?
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Grade 5 Mathematics > Module 2 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Estimate the following products.
a. $$37\times94$$
b. $$823\times25$$
c. $$4,637\times621$$
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Which pairs of factors have a product between 3,000 and 4,000?
Select the three pairs that apply.
Which two pairs of factors have a product of about 3,600?
Select the two pairs of factors that apply.
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Next
Multiply two-digit, three-digit, and four-digit numbers by one-digit numbers.
Topic A: Writing and Interpreting Numerical Expressions
Evaluate numerical expressions involving addition, subtraction, multiplication, division, and grouping symbols.
Standards
5.OA.A.1
Write expressions that record calculations with numbers, and interpret expressions without evaluating them.
5.OA.A.15.OA.A.2
Write expressions that represent real-world situations and evaluate them.
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Topic B: Multi-Digit Whole Number Multiplication
5.NBT.B.5
Multiply two-digit numbers by two-digit numbers.
Multiply three-digit numbers by two-digit numbers.
Multiply four-digit numbers by two-digit numbers.
Multiply three- and four-digit numbers by three-digit numbers.
Multiply multi-digit numbers and assess the reasonableness of the product.
Topic C: Multi-Digit Whole Number Division
Divide multiples of powers of ten by multiples of ten without remainders. Estimate multi-digit quotients by rounding numbers to their largest place value.
5.NBT.B.6
Estimate multi-digit quotients using compatible numbers.
Divide two-digit, three-digit, and four-digit dividends by one-digit divisors.
Divide two- and three-digit dividends by multiples of 10 with one-digit quotients and remainders in the ones place.
Divide two-digit dividends by two-digit divisors with one-digit quotients and remainders in the ones place.
Divide three-digit dividends by two-digit divisors with one-digit quotients and remainders in the ones place.
Divide three-digit dividends by two-digit divisors with two-digit quotients, reasoning about the decomposition of a remainder in any place.
Divide four-digit dividends by two-digit divisors with two- and three-digit quotients, reasoning about the decomposition of a remainder in any place.
Divide multi-digit numbers by one- and two-digit divisors and assess the reasonableness of the quotient.
Solve word problems involving multi-digit multiplication and division.
5.NBT.B.55.NBT.B.65.OA.A.15.OA.A.2
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