Curriculum / Math / 4th Grade / Unit 2: Multi-Digit Multiplication / Lesson 5
Math
Unit 2
4th Grade
Lesson 5 of 18
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Multiply multiples of 10, 100, and 1,000 by one-digit numbers. Estimate multi-digit products by rounding numbers to their largest place value.
The core 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.
The foundational standards covered in this lesson
3.NBT.A.3 — Multiply one-digit whole numbers by multiples of 10 in the range 10—90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
4.NBT.A.1 — Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
3.OA.C.7 — Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
In Lessons 5—10, students estimate products of a whole number of up to four digits by a one-digit whole number by rounding the largest factor, thus connecting the work of 4.NBT.3 across clusters to the work of 4.NBT.4, as well as preparing students to assess reasonableness in the context of multi-step word problems (4.OA.3).
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Solve.
b. What do you notice about Part (a)? What do you wonder?
Grade 4 Mathematics > Module 3 > Topic B > Lesson 5 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. 4 × 42
b. 783 × 7
c. 5,182 × 8
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
Find the following products.
a. 20 × 4
b. 9 × 300
c. 5 × 6,000
a. 8 × 84
b. 458 × 4
c. 2 × 9,340
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
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Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Lesson 4
Lesson 6
Topic A: Multiplicative Comparison
Solve multiplicative comparison problems with a larger unknown. Distinguish multiplicative comparison from additive comparison.
4.OA.A.1 4.OA.A.2
Solve multiplicative comparison problems with a smaller unknown.
Solve multiplicative comparison problems with an unknown multiplier. Interpret a multiplication equation as a comparison.
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Topic B: Multiplication of up to Four-Digit Whole Numbers by One-Digit Whole Numbers
Multiply 10, 100, and 1,000 by one- and two-digit numbers.
4.NBT.B.5
Multiply two-, three-, and four-digit numbers by one-digit numbers using a variety of mental strategies.
Multiply two-digit numbers by one-digit numbers.
Multiply three-digit numbers by one-digit numbers.
Multiply four-digit numbers by one-digit numbers.
Multiply two-, three-, and four-digit numbers by one-digit numbers and assess the reasonableness of the product.
Topic C: Multiplication of Two-Digit Whole Numbers by Two-Digit Whole Numbers
Multiply two-digit multiples of 10 by two-digit multiples of 10. Estimate multi-digit products by rounding numbers to their largest place value.
Multiply two-digit multiples of 10 by two-digit numbers.
Multiply two-digit numbers by two-digit numbers using a variety of mental strategies.
Multiply two-digit by two-digit numbers using four partial products.
Multiply two-digit by two-digit numbers using two partial products and assess the reasonableness of the product.
Topic D: Multi-Step Word Problems
Abstract the formulas for the area and perimeter of a rectangle and apply those formulas in real-world and mathematical problems involving multiplication, addition, and subtraction.
4.MD.A.3 4.OA.A.3
Solve two-step word problems involving multiplication, addition, and subtraction.
4.OA.A.2 4.OA.A.3
Solve multi-step word problems involving multiplication, addition, and subtraction.
4.OA.A.3
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