Curriculum / Math / 5th Grade / Unit 2: Multiplication and Division of Whole Numbers / Lesson 2
Math
Unit 2
5th Grade
Lesson 2 of 20
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Write expressions that record calculations with numbers, and interpret expressions without evaluating 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).
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Students should be familiar with the terms sum, difference, product, and quotient from prior grade levels.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
Four expressions are shown in the chart below. For each one, write all the ways to read the expressions that you can think of.
For each problem below, write an expression that records the calculations described, but do not evaluate.
a. 3 times the sum of 26 and 4
b. The quotient of 15 and 3, subtracted from 60
Grade 5 Mathematics > Module 2 > Topic B > Lesson 3 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..
Write the following expressions in words:
a. $$8\times(15-9)$$
b. $$(36+20)\div4$$
Below is a picture that represents $$9+2$$.
a. Draw a picture that represents $$4 \times (9 + 2)$$.
b. How many times bigger is the value of $$4 \times (9 + 2)$$ than $$9+2$$? Explain your reasoning.
Seeing is Believing, accessed on Dec. 5, 2017, 3:52 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
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
Which phrase is represented by the expression $$(22+3)\times 6$$?
Sam divided the difference of 17 and 5 by 6. Write an expression to match Sam’s calculations.
Which of the following expressions represents a number that is 4 times as much as the difference of 6358 and 974?
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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Lesson 1
Lesson 3
Topic A: Writing and Interpreting Numerical Expressions
Evaluate numerical expressions involving addition, subtraction, multiplication, division, and grouping symbols.
5.OA.A.1
5.OA.A.1 5.OA.A.2
Write expressions that represent real-world situations and evaluate them.
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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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