Curriculum / Math / 4th Grade / Unit 1: Place Value, Rounding, Addition, and Subtraction / Lesson 15
Math
Unit 1
4th Grade
Lesson 15 of 19
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Lesson Notes
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Solve multi-step word problems involving addition, using rounding to assess the reasonableness of answers.
The core standards covered in this lesson
4.NBT.B.4 — Fluently add and subtract multi-digit whole numbers using the standard algorithm.
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.NBT.A.2 — Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
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
Suggestions for teachers to help them teach this lesson
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
The city flower shop sold 14,594 pink roses on Valentine’s Day. They sold 7,857 more red roses than pink roses.
a. How many red roses did they sell? Show or explain your work.
b. Use your answer in Part (a) to write a second problem for your classmates to solve.
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Grade 4 Mathematics > Module 1 > Topic D > Lesson 12 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..
On Saturday, 17,295 bus tickets were sold. This was 32,736 fewer tickets than were sold on Sunday. How many people bought bus tickets over the weekend?
Last year, Big Bill’s Department Store sold many pairs of footwear. 118,214 pairs of boots were sold, 37,092 more pairs of sandals than pairs of boots were sold, and 124,417 more pairs of sneakers than pairs of sandals were sold. How many pairs of footwear were sold last year? Assess the reasonableness of your answer.
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
In January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February.
a. Choose a place value to round to, then use those rounded values to estimate the amount Scott earned altogether during those three months.
b. Exactly how much did Scott earn in those three months?
c. Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
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
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
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Fluently subtract multi-digit whole numbers using the standard algorithm involving up to two decompositions. Solve one-step word problems involving subtraction.
Topic A: Place Value of Multi-Digit Whole Numbers
Review place value understanding for numbers within 1,000.
Standards
4.NBT.A.14.NBT.A.24.NBT.A.34.NBT.B.4
Build numbers to 10,000 and write numbers to that place value in standard, unit, and expanded form.
4.NBT.A.14.NBT.A.2
Model and write numbers to 10,000 with more than 9 of any unit in standard and unit form.
4.NBT.A.14.NBT.A.24.NBT.B.4
Build numbers to 1,000,000 and write numbers to that place value in standard and unit form.
Multiply and divide single units by 10. Recognize that a digit represents 10 times the value of what it represents in the place to its right.
4.NBT.A.1
Multiply and divide multiple units by 10. Apply the property of “ten times greater” in the context of problems.
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Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers
Read and write multi-digit numbers using base-ten numerals, number names, and expanded form.
4.NBT.A.2
Locate multi-digit numbers on a number line and explain their placement.
4.NBT.A.24.NBT.A.3
Compare numbers based on the meanings of the digits using >, <, or = to record the comparison.
Topic C: Rounding Multi-Digit Whole Numbers
Round multi-digit numbers to their largest place.
4.NBT.A.3
Round multi-digit numbers to any place.
Round multi-digit numbers to any place in more complex cases, including those involving real-world contexts and/or assessing the reasonableness of that estimate.
Topic D: Multi-Digit Whole-Number Addition and Subtraction
Fluently add multi-digit whole numbers using the standard algorithm involving up to two compositions. Solve one-step word problems involving addition.
4.NBT.B.4
Fluently add multi-digit whole numbers using the standard algorithm involving multiple compositions. Solve one-step word problems involving addition.
4.NBT.B.44.OA.A.3
Fluently subtract multi-digit whole numbers using the standard algorithm involving multiple decompositions. Solve one-step word problems involving subtraction.
Solve multi-step word problems involving subtraction, using rounding to assess the reasonableness of answers.
Solve multi-step word problems involving addition and subtraction, using rounding to assess the reasonableness of answers.
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