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Big Idea: Perspective Solving Real-World Problems
With Additon and Subtraction
Enduring Understandings Essential Questions
Real-world problems can be solved using addition and subtraction.
Answers to problems should always be checked for reasonableness, and this can be done in different ways.
Sometimes it is necessary to rename 1 ten as 10 ones, 1 hundred as 10 tens, 1 thousand as 10 hundreds, and so on.
Rounding helps us predict solutions.
An equation shows a balance between what is on the right side and what is on the left side of the equals sign.
How do we add and subtract numbers when regrouping is necessary? Why is it necessary to use estimation to check sums and differences? How do you know whether to add or subtract in a given situation? Why is it important to be able to read a thermometer and interpret the temperature in both degrees Fahrenheit and degrees Celsius? How does rounding help us problem solve? What does the word balance mean to you?
CC/Learning Targets Core Vocabulary Links to Technology *3.1.6 *3.2.1 3.2.7
*3.3.1 *3.3.2 *3.3.3
*3.6.1-3.6.9 3.OA.8
operation equation expression
-My Math App (+,-,x, division) Math facts -Third Grade IXL website for all skills -Cool Math website for all skills
Bundle Performance Task(s) Your family is planning a vacation, and they want your help! There are three possible location destinations: Chicago, IL; Hilton Head, SC; and New York City, NY. By looking at the example map, students (working in small groups) will identify and interpret distance in miles.
A. Students will use online resources or the example charts to record the high and low temperatures for the month of September for each location (cold to hot for the minimum and maximum temperatures). B.
B. Students will use online resources or the example charts to record distances, total mileage, and rounded mileage. Students will determine total mileage (adding mileage from departure to return).
C. Students will plot the total mileage on a number line (shortest distance to longest distance). In order to help with their decision making, in the notes section, students may determine the differences in mileage of the three locations (__city is x number of miles farther than __ city). Finally, they will determine their favorite choice and justify their reasoning with information from their data.
As an extension, students can create their own vacation at a destination of their choice. Using online resources, they will follow procedures above with the chosen destination. When completed, they can create an itinerary to follow, keeping in mind a budget, forecast, and/or places of interest. Students could also present their itinerary by constructing a Keynote presentation. Note: See performance task template at the end of the bundle.
Grade 3 Math Bundle 2
Quarter 1 Sept.-Oct.
Big Idea: Perspective Solving Real-World Problems
With Additon and Subtraction
Climate of Chicago Month Low
Temperature High
Temperature
January 16 31
February 21 36
March 31 47
April 40 59
May 51 71
June 61 81
July 66 85
August 65 82
September 57 75
October 45 63
November 34 48
December 22 36
Climate of Hilton Head Month Low
Temperature High
Temperature
January 38 59
February 41 62
March 47 68
April 54 75
May 62 82
June 68 86
July 72 89
August 71 88
September 68 84
October 57 77
November 48 69
December 40 62
Climate of New York City Month Low
Temperature High
Temperature
January 26 39
February 27 40
March 34 48
April 44 61
May 53 71
June 63 81
July 68 85
August 66 83
September 60 77
October 51 67
November 41 54
December 30 41
Big Idea: Perspective Solving Real-World Problems
With Additon and Subtraction
Estimated Temperatures in Degrees Fahrenheit the Month of September
Estimated High Temperature Estimated Low Temperature
Chicago
New York City
Hilton Head
Notes about our data:
Estimated Distance in Miles to Each Travel Location
Distance in Miles to Destination
Distance in Miles Traveling Home Total Mileage
Total Mileage rounded to the nearest 10 miles
Chicago
New York City
Hilton Head
Notes about our Data:
Big Idea: Perspective Solving Real-World Problems
With Additon and Subtraction
Record your data by plotting and labeling the minimum and maximum temperatures and total distances on the number lines.
Minimum Temperatures
Coldest Hottest
Maximum Temperatures
Coldest Hottest
Total Mileage (not rounded)
Shortest Total Distance Longest Total Distance
What is your favorite choice for a family vacation? _________________________________________
What is your reasoning for choosing this destination as your favorite? Use data to support your answer. _________________________________________________________________________________________________
_________________________________________________________________________________________________
_________________________________________________________________________________________________
Recommended Read-Alouds G3 - Bundle 2
Big Idea: Perspective Title Author Relates to…
Mission Addition Loreen Leedy Addition
Dealing with Addition Lynette Long, Ph.D Addition
The Great Take-Away Louise Mathews Equations
Twelve Ways to Get to Eleven Eve Merriam Equations
Ready, Set, Hop! Stuart J. Murphy Expression, Equation
Anno’s Counting House Mitsumasa Anno Expressions, Equations
Dinosaur Deals Stuart J. Murphy Expressions, Equations
Big Truck & Car Word Problems Starring Multiplication and Division Rebecca Wingard Nelson Problem Solving
Coyotes All Around Stuart J. Murphy Rounding Numbers
The 329th
Friend Marjorie Weinman Sharmat Rounding Numbers
Panda Math: Learning About Subtraction from Hua Mei and Mei Sheng Ann Whitehead Nagda Subtraction
Math G3 - Bundle 2
CC/Learning Targets Resource of Ideas Evidence of Learning 3.1.6 Round numbers less than 1,000 to the
nearest ten and the nearest hundred. a. Round numbers less than on hundred to the nearest ten. b. Round numbers less than one thousand to the nearest hundred.
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Coyotes All Around by Stuart J. Murphy -The 329
th Friend by Marjorie Weinman Sharmat
-Houghton Mifflin Math website -Interactive 10-1,000 Chart -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice) -Comparing Numbers Activity (click on dartboard-next) SMARTboard -Math Rounding and Estimating Activities - enVisionMATH Lesson 2.5 -Houghton Mifflin Math Lessons 2.3 - 2.4 Lesson 3.5 Lesson 5.3
- enVisionMATH pp. 60-62 -Houghton Mifflin Math Chapter Review/Test pp. 42-43 -Houghton Mifflin Math Chapter Review/Test pp. 60-61 -Estimating Guests activity from Houghton Mifflin Math p. 78B) -Evidence in a math journal -Daily Math Review
3.2.1 Add and subtract whole numbers up to 1,000 with or without regrouping, using relevant properties of the number system. a. Add numbers up to 1,000 without regrouping using relevant properties of the number system. b. Subtract numbers up to 1,000 without regrouping using relevant properties of the number system.
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Mission Addition by Loreen Leedy -Dealing with Addition by Lynette Long, Ph.D -Panda Math: Learning About Subtraction from Hua Mei and Mei Sheng by Ann Whitehead Nagda -Online Activities -Houghton Mifflin Math website - IDOE Resources -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice)
- enVisionMATH pp. 60-62, 94-96 -Houghton Mifflin Math Chapter Review/Test pp. 104-105 -Houghton Mifflin Math Chapter Review/Test pp. 132-133 -Evidence in a math journal -Observe students playing Sum or Difference Draw activity from Houghton Mifflin Math p. 72D -Distances on a Map activity from Houghton Mifflin Math p. 82B -Adding Animal Facts activity from Houghton Mifflin Math p.86B
Math G3 - Bundle 2
c. Add numbers up to 1,000 with regrouping, using relevant properties of the number system. d. Subtract numbers up to 1,000 with regrouping, using relevant properties of the number system. e. Use inverse operations to check computation in addition and subtraction.
-Add Three-Digit Numbers -Math Addition and Subtraction Activities - enVisionMATH Lessons 2.1 - 2.2, 2.8 - 2.9 -Houghton Mifflin Math Lessons 4.1, 4.3 - 4.4, 4.6 - 4.7 Lessons 5.1 - 5.2, 5.4 - 5.7
-Addition and Calories activity from Houghton Mifflin Math p. 94B -Add It Up! activity from Houghton Mifflin Math p. 97 -Have students find the difference between their resting and active pulse rates -Subtracting Sunny Days activity from Houghton Mifflin Math p. 120B -Historic Ages activity from Houghton Mifflin Math p. 128B -Daily Math Review
3.2.7 Use estimation to decide whether answers are reasonable in addition and subtraction problems. a. Determine whether answers are reasonable in addition and subtraction problems using rounding, front-end estimation and convenient (sometimes called friendly or compatible) numbers.
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Houghton Mifflin Math website -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice) -Comparing Numbers Activity (click on comparing numbers or click on estimate) -Math Songs - enVisionMATH Lessons 2.6 - 2.7, 2.9 -Houghton Mifflin Math
Enrichment p. 67 Lessons 4.2, 4.9 Lesson 5.3
-enVisionMATH pp. 60-62 -Houghton Mifflin Math Chapter Review/Test pp. 104-105 -Houghton Mifflin Math Chapter Review/Test pp. 132-133 -Match numbers with estimated answers -Observe students playing Roll and Play activity from Houghton Mifflin Math p. 72D -Daily Math Review
3.3.1 Represent relationships of quantities in the form of a numeric expression or equation.
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28
- enVisionMATH pp. 60-62 -Students create simple expressions or equations for
Math G3 - Bundle 2
a. Identify an expression and an equation. b. Write an expression and an equation with an unknown quantity (variable) to match a given situation.
-Ready, Set, Hop! by Stuart J. Murphy -Anno’s Counting House by Mitsumasa Anno -Dinosaur Deals by Stuart J. Murphy -Houghton Mifflin Math website - IDOE Resources -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice) - enVisionMATH Lesson 2.8
partners to solve -Daily Math Review -Quiz -Have students create numeric expressions or equations for a partner to solve
3.3.2 Solve problems involving numeric equations. a. Solve for an unknown quantity (variable) when given an equation.
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Ready, Set, Hop! by Stuart J. Murphy -Anno’s Counting House by Mitsumasa Anno -The Great Take-Away by Louise Mathews -Twelve Ways to Get to Eleven by Eve Merriam -Dinosaur Deals by Stuart J. Murphy -Houghton Mifflin Math website - IDOE Resources -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice) - enVisionMATH Lesson 2.8 -Houghton Mifflin Math Lesson 9.8
-Students create simple expressions or equations for partners to solve -Daily Math Review -Quiz - enVisionMATH pp. 60-62 -Houghton Mifflin Math Chapter Review/Test pp. 256-257 -Have students create numeric expressions or equations for a partner to solve
3.3.3 Choose appropriate symbols for operations and relations to make a number sentence true.
-Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 3-28 -Houghton Mifflin Math website
- enVisionMATH pp. 60-62, 94-96 -Daily Math Review -Pass out index cards labeled with operation symbols, then write a
Math G3 - Bundle 2
- IDOE Resources -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice) - enVisionMATH Lesson 2.9 Lessons 3.5, 3.10
math number sentence on the board where the operation is missing and have students hold up the card with the correct operation needed -Play a team board game where you say a math number sentence aloud, then have pairs of students use a flyswatter to smack the correct operation
3.6.1-3.6.9
Problem Solving Problem Solving Strategies -Use or Look for a Pattern -Work Backwards -Use Logical Reasoning -Make It Simpler -Write a Number Sentence
-The Problem Solver 3: Activities for Learning Problem-Solving Strategies -Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 29-69, 131-139 -Big Truck & Car Word Problems Starring Multiplication and Division by Rebecca Wingard Nelson - IDOE Resources -3rd Grade Indiana Math Skills (click on Indiana, then click on 3
rd grade,
scroll down to the indicator of your choice) - enVisionMATH Lesson 2.9 Lessons 3.5, 3.10 -Houghton Mifflin Math Lesson 1.5 (Find a Number Pattern) Lesson 8.7 (Make an Organized List) Lesson 9.9 (Make it Simpler with Multistep Problems) Lessons 10.5 (Choose the Operation), 10.8 (Write a Number Sentence) Lesson 11.6 (Draw a Picture)
-See Problem Solving Template in Appendix -Houghton Mifflin Math Chapter Review/Test pp. 228-229 -Houghton Mifflin Math Chapter Review/Test pp. 256-257 -Houghton Mifflin Math Chapter Review/Test pp. 314-315 -Problem Solver Activities -Evidence in a math journal -Observation of students participating in Poster Method problem solving
3.OA.8 Solve two-step word problems using the four operations. Represent these
- enVisionMATH Lesson 2.7 – 2.9 (addition and subtraction)
Math G3 - Bundle 2
problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Correlating CC/Learning Targets Teacher Notes
3.1.1 3.1.2 3.1.3 3.1.4 3.1.5
3.1.14 3.1.15 3.2.8 3.5.9 3.MD.1
Five Easy Steps to a Balanced Math Program for Upper Elementary Grades pp. 71-96 Standards 3.3.1 and 3.3.2 will appear in several bundles. In this bundle, when working on these two standards, focus on how simple equations are used with addition and subtraction. Introduce how letters can take the place of question marks or blank spaces.