Curriculum / Math / 4th Grade / Unit 2: Multi-Digit Multiplication / Lesson 18
Math
Unit 2
4th Grade
Lesson 18 of 18
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Solve multi-step word problems involving multiplication, addition, and subtraction.
The core standards covered in this lesson
4.OA.A.3 — Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
The foundational standards covered in this lesson
3.MD.C.7.B — Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
3.MD.D.8 — Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
4.NBT.B.4 — Fluently add and subtract multi-digit whole numbers using the standard algorithm.
3.OA.D.8 — Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
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
Act 1: Look at the following images.
a. What do you notice? What do you wonder?
b. Which batch of chocolate chip cookies has the most chocolate chips in it? How many more? Make an estimate.
Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:47 p.m..
Chocolate Chip Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:46 p.m..
Act 2: Use the following information to determine which batch of chocolate chip cookies has the most chocolate chips in it and by how much.
One cookie:
I counted three times as many chocolate chips in this cookie than in the cookie from Batch 1.
The whole batch:
Act 3: In the pictures below, each group consists of exactly 10 chocolate chips. Here is the number of chocolate chips in each batch:
Was your answer reasonable? Why or why not?
Act 4: There are about 300 chocolate chips in a cup. About how many cups of chocolate chips are in both batches?
Problem Set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Eden exercises 5 days a week. Her exercise routine takes her 48 minutes. Joe exercises 6 days a week. His exercise routine takes him 36 minutes. After 8 weeks, who has spent more time exercising? How much more time?
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 17
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 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
4.OA.A.3
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