Curriculum / Math / 3rd Grade / Unit 3: Multiplication and Division, Part 2 / Lesson 19
Math
Unit 3
3rd Grade
Lesson 19 of 23
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Solve two-step word problems involving all four operations.
The core 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 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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
As mentioned in earlier lessons, students will start to write equations to represent select two-step word problems. The Progressions state, "more difficult problems may require two steps of representation and solution rather than one" (OA Progression, p. 28). Thus, it is left to the teacher to decide what "more difficult" means for your students. As some general guidance, it seems reasonable to expect every student to be able to write an equation for all one-step problems and for two-step problems where the unknown is isolated on one side of the equal sign in the equation without needing to manipulate it by the end of the year. For example, see #42 on the New York State Testing Program Grade 3 Common Core Mathematics Test Released Questions May 2016. Since students are expected to do so on the Post-Unit Assessment, this skill is built gradually over the course of Lesson 11, 16, 19, and 20 to prepare students for that.
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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 Gummy Worms by Kyle Pearce.
a. What do you notice? What do you wonder?
b. How many gummy worms are there in total? Make an estimate.
Gummy Worms by Kyle Pearce is made available on Tap into Teen Minds. Accessed Nov. 1, 2018, 11:36 a.m..
Act 2: Use the following information to determine how many gummy worms there are in total.
Act 3: There are 25 gummy worms in total. Was your answer reasonable? Why or why not?
Act 4 (sequel):
Mr. Pearce eats all of the gummy worms he took out of the jar and a few extra still in the jar. In total, he ate an equal number of each of the 3 colors of gummy worms, a total of 18 gummy worms. How many gummy worms does he have left of each color?
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 farmer picks 117 oranges from his orange trees. He uses 45 oranges to make juice. The rest of the oranges he loads in packages of 8 oranges.
a. Which of the following equations represents $$p$$, the number of packages of oranges the farmer has?
a. $$p=(117+45)\div8$$
b. $$p=(117-45)\div8$$
c. $$p=8\times(117-45)$$
d. $$p=8\times(117-45)$$
b. Find the number of packages the farmer has. Show or explain your work.
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
Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Lesson 18
Lesson 20
Topic A: Introduction to The Properties of Operations
Study commutativity to find known facts of 6, 7, 8, and 9.
3.OA.B.5 3.OA.D.9
Understand the zero and identity properties of multiplication.
3.OA.A.4 3.OA.B.5 3.OA.C.7 3.OA.D.9
Understand the role of parentheses and apply to solving problems.
3.OA.B.5 3.OA.D.8
Introduce the distributive property of multiplication.
Introduce the associative property of multiplication.
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Topic B: Multiplication and Division by 6 and 7
Build fluency with multiplication and division facts using units of 6.
3.OA.A.4 3.OA.C.7
Build fluency with multiplication and division facts using units of 7.
Use the associative property as a strategy to multiply by units of 6.
3.OA.B.5 3.OA.C.7 3.OA.D.9
Use the distributive property as a strategy to multiply by units of 6.
Use the distributive property as a strategy to multiply by units of 7.
Solve one- and two-step word problems involving units up to 7.
3.OA.A.3 3.OA.D.8
Topic C: Multiplication and Division by 8 and 9
Build fluency with multiplication and division facts using units of 8 and 9.
Use the associative property as a strategy to multiply by units of 8 and 9.
Use the distributive property as a strategy to multiply by units of 8 and 9.
Use the distributive property as a strategy to multiply by units of 8 and 9, including the subtractive use of the distributive property.
Solve one- and two-step word problems involving units up to 9.
Topic D: Multiplication and Division by Values Greater than 10
Multiply one-digit whole numbers by multiples of 10.
3.NBT.A.3 3.OA.A.4 3.OA.B.5
Multiply one-digit whole numbers by two-digit whole numbers using the associative and distributive properties.
Topic E: Two-Step Word Problems and Patterns in Arithmetic
3.OA.D.8
Solve two-step word problems involving all four operations, including multiplying one-digit whole numbers by multiples of 10.
3.NBT.A.3 3.OA.D.8
Identify patterns in single or multiple rows/columns of the multiplication table.
3.OA.C.7 3.OA.D.9
Identify other patterns in the multiplication table.
3.OA.D.9
Identify arithmetic patterns and explain them using properties of operations.
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