Curriculum / Math / 5th Grade / Unit 2: Multiplication and Division of Whole Numbers / Lesson 8
Math
Unit 2
5th Grade
Lesson 8 of 20
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Multiply four-digit numbers by two-digit numbers.
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
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.
a. $$5,803\times46$$
b. $$63\times2,116$$
Dunkin' introduced a croissant doughnut in 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant doughnuts were sold in the first three months?
Problem Set
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Solve.
64 × 2,591
Eugene wants to make some blankets to donate to a homeless shelter and is trying to figure out how much fleece fabric to buy. Each blanket will be 86 inches long and 91 inches wide. He would like to make 12 blankets in total to donate. How much fleece will Eugene need for all of the blankets?
An example response to the Target Task at the level of detail expected of the students.
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Lesson 7
Lesson 9
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.
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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 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.5 5.NBT.B.6 5.OA.A.1 5.OA.A.2
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