Curriculum / Math / 5th Grade / Unit 2: Multiplication and Division of Whole Numbers / Lesson 3
Math
Unit 2
5th Grade
Lesson 3 of 20
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Write expressions that represent real-world situations and evaluate them.
The core standards covered in this lesson
5.OA.A.1 — Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
5.OA.A.2 — Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
The foundational standards covered in this lesson
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).
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 essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
For the Problem Set, let students work on each problem on the Problem Set independently and circulate to see whether students are solving correctly. If not, come back together to discuss how/what to draw on a tape diagram and how to represent that tape diagram with an expression, then allow them to try again on their own.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Act 1: Watch the video The Beanbag Dartboard Round 1 Act One.
a. What do you notice? What do you wonder?
b. Based on how you score points in this game, how many points did the girl get? Make an estimate.
Act 2: Use the following information to solve:
The child earned 44 points in total.
Write expressions that could represent how the student earned all 44 points.
Act 3: Watch the video, The Beanbag Dartboard Round 1 Act Three, to see the solution. Was your answer reasonable? Why or why not?
Act 4 (The Sequel): The girl played another round. She represented her tosses with the equation $$(3 \times 5) + 2 \times (1 \times 7) + (2 \times 4) =Â s$$, where $$s$$ represents the student’s final score.
a. What was the student’s final score?
b. What must the student have tossed?
Video Game Scores, accessed on March 20, 2018, 3:23 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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
a. A baker has 32 ounces of flour. They will use 8 ounces of flour for each of 2 loaves of bread and 5 ounces of flour for each of 3 batches of cookies.
b. A different baker has 48 ounces of flour. They will use 6 ounces of flour for each cake that they make. Write an equation to show how many cakes they can make with all of their flour. Use $$c$$ as the unknown number of cakes in your question. Do not solve the equation.
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 2
Lesson 4
Topic A: Writing and Interpreting Numerical Expressions
Evaluate numerical expressions involving addition, subtraction, multiplication, division, and grouping symbols.
5.OA.A.1
Write expressions that record calculations with numbers, and interpret expressions without evaluating them.
5.OA.A.1 5.OA.A.2
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Topic B: Multi-Digit Whole Number Multiplication
Multiply multiples of powers of ten. Estimate multi-digit products by rounding numbers to their largest place value.
5.NBT.B.5
Multiply two-digit, three-digit, and four-digit numbers by one-digit numbers.
Multiply two-digit numbers by two-digit numbers.
Multiply three-digit numbers by two-digit numbers.
Multiply four-digit numbers by two-digit numbers.
Multiply three- and four-digit numbers by three-digit numbers.
Multiply multi-digit numbers and assess the reasonableness of the product.
Topic C: Multi-Digit Whole Number Division
Divide multiples of powers of ten by multiples of ten without remainders. Estimate multi-digit quotients by rounding numbers to their largest place value.
5.NBT.B.6
Estimate multi-digit quotients using compatible numbers.
Divide two-digit, three-digit, and four-digit dividends by one-digit divisors.
Divide two- and three-digit dividends by multiples of 10 with one-digit quotients and remainders in the ones place.
Divide two-digit dividends by two-digit divisors with one-digit quotients and remainders in the ones place.
Divide three-digit dividends by two-digit divisors with one-digit quotients and remainders in the ones place.
Divide three-digit dividends by two-digit divisors with two-digit quotients, reasoning about the decomposition of a remainder in any place.
Divide four-digit dividends by two-digit divisors with two- and three-digit quotients, reasoning about the decomposition of a remainder in any place.
Divide multi-digit numbers by one- and two-digit divisors and assess the reasonableness of the quotient.
Solve word problems involving multi-digit multiplication and division.
5.NBT.B.5 5.NBT.B.6 5.OA.A.1 5.OA.A.2
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