Curriculum / Math / 4th Grade / Unit 2: Multi-Digit Multiplication / Lesson 2
Math
Unit 2
4th Grade
Lesson 2 of 18
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Solve multiplicative comparison problems with a smaller unknown.
The core standards covered in this lesson
4.OA.A.1 — Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
4.OA.A.2 — Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
The foundational standards covered in this lesson
3.OA.A.1 — Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
3.OA.A.3 — Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Similar to Lesson 1, while the primary focus of this lesson is on multiplicative comparison problems with a smaller unknown, the Problem Set and Homework will also spiral in comparison problems of varieties they saw in Lesson 1. This encourages students to make sense of the mathematics (MP.1).
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Now, Mrs. Ingall wants to know how wide this copy of The Wolf’s Story is. Can you figure out how wide it is in inches? (Remember, the bookshelf is 24 inches long.)
John has 12 coins in his pocket. John has twice as many coins as Samantha. How many coins does Samantha have? Represent the situation as an equation to solve.
Here is an ad from Hulu:
Ella says that means Hulu costs $6, since 6 times 6 is 36 and 6 more is 42. Farid says that means Hulu costs $7, since 42 is 6 times as much as 7.
a. What makes the phrasing of this problem confusing?
b. How can you change the phrasing of the problem to make it clearer if Hulu does actually cost $7 per month?
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
Sanjay bought 28 granola bars, which was 4 times as many granola bars as Luke bought. Which equation can be used to find g, the number of granola bars Luke bought?
Vanessa has 7 times as much money as Jared does. Vanessa has $56. How much money does Jared have?
Josh has 8 cookies. Sebastian has 2 times as many cookies as Josh. How many cookies does Sebastian have?
An example response to the Target Task at the level of detail expected of the students.
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 1
Lesson 3
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 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 multiples of 10, 100, and 1,000 by one-digit numbers. Estimate multi-digit products by rounding numbers to their largest place value.
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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