Curriculum / Math / 5th Grade / Unit 2: Multiplication and Division of Whole Numbers / Lesson 10
Math
Unit 2
5th Grade
Lesson 10 of 20
Jump To
Multiply multi-digit numbers and assess the reasonableness of the product.
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.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.
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
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Use the digits 1 to 9, at most one time each, to create two numbers that have a product as close to 500,000 as possible.
You may use any length of factors as you would need, for example, eight-digit by one-digit or four-digit by three-digit.
Multiplication of Large Numbers by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed Dec. 7, 2018, 1:04 p.m..
Solve. Then estimate to assess the reasonableness of your answer. Then explain why your estimated product was greater or less than your actual product.
a. $$​  714 \times236$$
b. $$​ 296 \times2,818$$
c. $$​ 4,002 \times498$$
Problem Set
Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
For parts (a) and (b) below,
a. 910 × 233
b. 852 × 488
Damian’s work on a multiplication problem is shown below.
a. Why is Damian’s answer not reasonable? Use estimation in your explanation.
b. What mistake do you think Damian made? Why do you think he made that mistake?
c. Find the correct product of 5,126 × 47.
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
Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Lesson 9
Lesson 11
Topic A: Writing and Interpreting Numerical Expressions
Evaluate numerical expressions involving addition, subtraction, multiplication, division, and grouping symbols.
5.OA.A.1
Write expressions that record calculations with numbers, and interpret expressions without evaluating them.
5.OA.A.1 5.OA.A.2
Write expressions that represent real-world situations and evaluate them.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Multi-Digit Whole Number Multiplication
Multiply multiples of powers of ten. Estimate multi-digit products by rounding numbers to their largest place value.
5.NBT.B.5
Multiply two-digit, three-digit, and four-digit numbers by one-digit numbers.
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.
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.5 5.NBT.B.6 5.OA.A.1 5.OA.A.2
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
Access rigorous, relevant, and adaptable math lesson plans for free