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Lesson Plans and Worksheets for Grade 4

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 4

Common Core For Grade 4

Examples, solutions, homework, and videos to help Grade 4 students solve two-step word problems using the standard subtraction algorithm fluently modeled with tape diagrams and assess the reasonableness of answers using rounding.

Common Core Standards: 4.OA.3, 4.NBT.4, 4.NBT.1, 4.NBT.2

### New York State Common Core Math Grade 4, Module 1, Lesson 16

Common Core Math Grade 4, Module 1, Lesson 16 Worksheets (pdf)

### NYS Math Grade 4, Module 1, Lesson 16 Concept Development

Problem 1

Solve a two-step word problem, modeled with a tape diagram, assessing reasonableness of answer using rounding.

A company has 3 locations with 70,010 employees all together. Their first location has 34,857 employees. Their second location has 17,595 employees. How many employees work in their third location?

Problem 2

Solve two-step word problems, modeled with a tape diagram, assessing reasonableness of answer using rounding.

Owen’s goal is to have 1 million people visit his new website within the first four months of it being launched. Below is a chart showing the number of visitors each month. How many more visitors does he need in Month 4 to reach his goal?

Problem 3

Solve a two-step word problem with a compare with smaller unknown base.

There were 12,345 people at a concert on Saturday night. On Sunday night, there were 1,795 fewer people at the concert than on Saturday night. How many people attended the concert on both nights?

### NYS Math Grade 4, Module 1, Lesson 16 Homework

Directions: Model each problem with a tape diagram. Estimate and then solve each problem. Explain if your
answer is reasonable.

1. Zachary’s final project for a college course took a semester to write and had 95,234 words. Zachary wrote 35,295 words the first month and 19,240 words the second month. How many words did he write during the remaining part of the semester?

a. Round each value to the nearest ten thousand to estimate how many words Zachary wrote during the remaining part of the semester.

b. Find the exact number of words written during the remaining part of the semester.

c. Use your answer from (a) to explain why your answer in (b) is reasonable.

2. During the first quarter of the year, 351,875 people purchased a particular app for their smartphones. During the second quarter of the year, 101,949 fewer people downloaded the app than during the first quarter. How many downloads occurred during the two quarters of the year?

a. Round each number to the nearest hundred thousand to estimate how many downloads occurred during the first two quarters of the year.

b. Determine exactly how many downloads occurred during the first two quarters of the year.

c. Determine if your answer is reasonable. Explain.

3. A local store was having a two-week Back to School sale. They started the sale with 36,390 notebooks. During the first week of the sale, 7,424 notebooks were sold. During the second week of the sale, 8,967 notebooks were sold. How many notebooks were left at the end of the two weeks? Is your answer reasonable? Explain how you know using rounding.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Lesson Plans and Worksheets for Grade 4

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 4

Common Core For Grade 4

Examples, solutions, homework, and videos to help Grade 4 students solve two-step word problems using the standard subtraction algorithm fluently modeled with tape diagrams and assess the reasonableness of answers using rounding.

Common Core Standards: 4.OA.3, 4.NBT.4, 4.NBT.1, 4.NBT.2

Solve a two-step word problem, modeled with a tape diagram, assessing reasonableness of answer using rounding.

A company has 3 locations with 70,010 employees all together. Their first location has 34,857 employees. Their second location has 17,595 employees. How many employees work in their third location?

Problem 2

Solve two-step word problems, modeled with a tape diagram, assessing reasonableness of answer using rounding.

Owen’s goal is to have 1 million people visit his new website within the first four months of it being launched. Below is a chart showing the number of visitors each month. How many more visitors does he need in Month 4 to reach his goal?

Problem 3

Solve a two-step word problem with a compare with smaller unknown base.

There were 12,345 people at a concert on Saturday night. On Sunday night, there were 1,795 fewer people at the concert than on Saturday night. How many people attended the concert on both nights?

1. Zachary’s final project for a college course took a semester to write and had 95,234 words. Zachary wrote 35,295 words the first month and 19,240 words the second month. How many words did he write during the remaining part of the semester?

a. Round each value to the nearest ten thousand to estimate how many words Zachary wrote during the remaining part of the semester.

b. Find the exact number of words written during the remaining part of the semester.

c. Use your answer from (a) to explain why your answer in (b) is reasonable.

2. During the first quarter of the year, 351,875 people purchased a particular app for their smartphones. During the second quarter of the year, 101,949 fewer people downloaded the app than during the first quarter. How many downloads occurred during the two quarters of the year?

a. Round each number to the nearest hundred thousand to estimate how many downloads occurred during the first two quarters of the year.

b. Determine exactly how many downloads occurred during the first two quarters of the year.

c. Determine if your answer is reasonable. Explain.

3. A local store was having a two-week Back to School sale. They started the sale with 36,390 notebooks. During the first week of the sale, 7,424 notebooks were sold. During the second week of the sale, 8,967 notebooks were sold. How many notebooks were left at the end of the two weeks? Is your answer reasonable? Explain how you know using rounding.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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