Math and Problem Solving Module 1
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Questions and Answers

What method did Myer use to find out how many questions were answered correctly?

  • He estimated the answers based on averages.
  • He used the equation $5 \times x = 50$. (correct)
  • He added multiple numbers together.
  • He divided the total points by the number of questions.

How many questions did the class answer correctly on Tuesday?

  • 50
  • 5
  • 7 (correct)
  • 10

What is the total number of points the class earned on both days if they answered 7 questions correctly on Tuesday and 5 on another day?

  • 60
  • 50 (correct)
  • 70
  • 100

Why might Myer's method of multiplying in $5 \times x = 50$ be incorrect?

<p>The number he multiplied is not relevant. (A)</p> Signup and view all the answers

How long does Fatima take to reach the market?

<p>17 minutes (B)</p> Signup and view all the answers

What was the primary focus of Module 1 mentioned in the content?

<p>Properties of Multiplication and Division (A)</p> Signup and view all the answers

In Fatima's timeline, what is the first activity described?

<p>Leaving home (B)</p> Signup and view all the answers

What tool does the teacher use to time the students during the problem-solving exercise?

<p>A clock (C)</p> Signup and view all the answers

If a baggage handler lifts 3 bags and each bag weighs 25 kilograms, what is the estimated total weight he lifts?

<p>75 kilograms (C)</p> Signup and view all the answers

How much more weight does the second baggage handler lift if he carries 200 kilograms compared to the first handler who lifts 75 kilograms?

<p>125 kilograms (A)</p> Signup and view all the answers

If baggage handlers finish loading after working for 18 minutes starting at 10:25 p.m., what time do they finish?

<p>10:40 p.m. (D)</p> Signup and view all the answers

If one baggage handler drinks 2 liters of water per day, how much water does he drink in 7 days?

<p>14 liters (C)</p> Signup and view all the answers

What is the main goal of the 100-second completion exercise for students?

<p>To measure speed in calculation (A)</p> Signup and view all the answers

What is the total weight of the almonds and raisins combined?

<p>Weight is equal to the sum of both weights. (A)</p> Signup and view all the answers

If each bottle contains 2 liters of juice, how many bottles does Fatima need to buy for 18 liters?

<p>6 bottles (D)</p> Signup and view all the answers

If Fatima's total weight of vegetables is 968 grams and the combined weight of lettuce and broccoli is 450 grams, how much do the peas weigh?

<p>518 grams (D)</p> Signup and view all the answers

If the watermelon weighs 5 kilograms, how much do 7 bags of groceries weigh if each is estimated to be as heavy as the watermelon?

<p>35 kilograms (B)</p> Signup and view all the answers

How long does Fatima drive in total after she leaves the store if she drives 12 minutes to the bank and 34 minutes to return home?

<p>46 minutes (C)</p> Signup and view all the answers

If Fatima carries the remainder of the groceries after the grocer helps with 9 kilograms, and the total weight of groceries is 25 kilograms, how much does she carry?

<p>16 kilograms (B)</p> Signup and view all the answers

Which of the following methods can be used to find the number of bottles needed for juice?

<p>Divide the total liters needed by the liters per bottle. (C)</p> Signup and view all the answers

What is an appropriate estimation strategy for the total weight of groceries Fatima carries?

<p>Multiply the number of bags by the estimated weight of the watermelon. (A)</p> Signup and view all the answers

What is the rounded total weight of Paul's suitcases to the nearest 100 kilograms?

<p>500 kilograms (B)</p> Signup and view all the answers

What is the difference in weight between the cashews and yogurt raisins?

<p>19 grams (B)</p> Signup and view all the answers

If the current time is estimated at 4:30, what could Paul’s departure time be if he needs to estimate to the nearest 10 minutes?

<p>4:40 (A)</p> Signup and view all the answers

If an airplane uses approximately 256 liters of fuel every minute, what is the rounded estimate to the nearest 10 liters?

<p>260 liters (C)</p> Signup and view all the answers

How many liters of fuel are used in approximately 2 minutes based on the rounded estimate of 260 liters per minute?

<p>480 liters (C)</p> Signup and view all the answers

What is the precise calculation for the number of liters used every 2 minutes at a rate of 256 liters per minute?

<p>512 liters (C)</p> Signup and view all the answers

Which method can be used to visually represent the difference between the estimated and precise fuel calculations?

<p>Tape diagram (A)</p> Signup and view all the answers

What is the purpose of estimating the time of Paul's flight departure?

<p>To prepare accordingly for his arrival at the airport (B)</p> Signup and view all the answers

How many red apples are there in total according to Ms. Park's arrangement?

<p>10 (A)</p> Signup and view all the answers

What is the equation that represents the total number of apples Ms. Park bought?

<p>5 × 4 = 4 × 4 + 1 × 4 (D)</p> Signup and view all the answers

If Lilly brings 8 green apples, how is the equation altered to find the new total number of apples?

<p>5 × 4 = 4 × 4 + 8 (C)</p> Signup and view all the answers

What is the total number of apples after Lilly adds her green apples?

<p>24 (C)</p> Signup and view all the answers

In Mr. Myer's game, how many questions must the class have answered to earn 50 points?

<p>8 (C)</p> Signup and view all the answers

Using division, how is the number of questions related to the total points earned?

<p>Total points divided by points per question (D)</p> Signup and view all the answers

What multiplication expression represents the total red and green apples before Lilly's addition?

<p>5 × 4 + 1 × 4 (A)</p> Signup and view all the answers

Which method can be used to find the total apples using the distribute strategy?

<p>5 × 4 + 1 × 4 (C)</p> Signup and view all the answers

What multiplication sentence describes the total number of tomatoes in the bags if there are 5 tomatoes in each bag and Mrs. Tran has 4 bags?

<p>5 × 4 = 20 (D)</p> Signup and view all the answers

If Mrs. Tran plants 12 sunflowers in 3 rows, how many sunflowers are in each row?

<p>4 (A)</p> Signup and view all the answers

In the array showing 9 rows of 2, what multiplication sentence represents this arrangement?

<p>2 × 9 = 18 (C)</p> Signup and view all the answers

When calculating how many desks are in Mr. Lewis's classroom arranged in groups of 6 equal rows with 4 desks each, what is the multiplication sentence?

<p>4 × 6 = 24 (C)</p> Signup and view all the answers

If Mrs. Tran adds 2 more identical rows of sunflowers to her existing 3 rows, how many rows of sunflowers does she now have?

<p>5 (A)</p> Signup and view all the answers

What does the quotient represent when filling in the blanks in the division sentence 12 ÷ 3 = ___?

<p>Number of rows of sunflowers (C)</p> Signup and view all the answers

In the relationship between an array of 9 rows of 2 and 2 rows of 9, what does the factor representing the number of rows in the sentence 2 × 9 = 18 indicate?

<p>Number of rows in the second array (B)</p> Signup and view all the answers

Why would Mrs. Tran not get the same result if she multiplied 5 × 4 instead of using the expressions (3 × 4) + (2 × 4)?

<p>5 × 4 does not consider additional rows. (D)</p> Signup and view all the answers

Flashcards

Multiplication Sentence

A mathematical statement that uses the multiplication operation to express the total number of objects in equal groups.

Array

A visual representation of a multiplication problem using rows and columns of objects.

Rows and Columns

Rows are horizontal lines of objects, while columns are vertical lines of objects.

Multiplication and Division

Related operations where multiplication finds the total, and division finds the number of groups or the size of each group.

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Factors

The numbers that are multiplied together in a multiplication sentence.

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Product

The result of a multiplication problem.

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Quotient

The result of a division problem.

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Division Sentence

A mathematical statement that uses the division operation to express the relationship between the total, the number of groups, and the size of each group.

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Multiplication Equation

A math statement that uses multiplication to show the relationship between equal groups and a total.

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Correct Method

A way to solve a problem that uses accurate calculations and principles.

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Total Points

The combined number of points earned across multiple events.

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Time on a Number Line

Representing time intervals using a number line, where each mark shows a specific time point.

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Elapsed Time

The amount of time that has passed between a starting time and an ending time.

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Time on a Clock

Reading the time displayed on a clock, using the hour and minute hands.

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Time Spent

The duration of an activity or event.

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Word Problems

Story problems that use words to describe mathematical situations that need to be solved.

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Break Apart & Distribute

A strategy used to solve multiplication problems by separating the larger factor into smaller, easier-to-multiply parts.

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Apples in Rows

The apples in Ms. Park's tray are arranged in rows of 4, with 5 rows of red apples and 1 row of green apples.

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Total Apples

The total number of apples Ms. Park bought is calculated by multiplying the number of apples in each row by the total number of rows.

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Lilly's Green Apples

Lilly brought 8 green apples to the party, which are added to the tray of apples. This new total number of green apples affects the total number of apples in the class.

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Points Earned

Mr. Myer's class earned 5 points for each correct answer in a game.

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Questions Answered

The number of questions the class answered correctly is calculated by dividing the total points earned by the number of points for each correct answer.

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Weight on a scale

The measurement of how heavy an object is, usually displayed on a scale in units like kilograms or pounds.

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Round to Estimate

Using a nearby whole number to get a rough idea of a value, not an exact answer.

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Calculate Exactly

Finding the precise answer to a problem, using all the necessary steps and operations.

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Total Weight

The combined weight of two or more items. For example, the total weight of the almonds and raisins is found by adding their individual weights.

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Tape Diagram

A visual representation of a problem using a long rectangle divided into smaller parts. Each part represents a specific quantity.

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Number Sentence

A mathematical statement that uses numbers and operations to solve a problem. For example, 5 + 3 = 8.

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Estimate

To find an approximate answer or value, often without exact calculations.

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Kilograms

A unit of measurement for weight, often used for heavier items.

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Minutes

A unit of time that is smaller than an hour, equal to 60 seconds.

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Total Driving Time

The total duration spent driving, calculated by adding the time spent on each individual trip.

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Rounding to the Nearest 100

Finding the closest multiple of 100 to a given number.

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Difference in Weight

Finding the difference between two weights by subtracting the smaller weight from the larger weight.

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Estimating to the Nearest 10

Finding the closest multiple of 10 to a given number.

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Estimating Fuel Usage

Using rounding to approximate the amount of fuel used by an airplane in a given time.

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Precise Calculation

Using exact numbers to find the exact amount of fuel used in a specific time.

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Difference between Estimate and Calculation

Identifying the difference between an estimated value and an accurate calculation.

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Liters of Fuel per Minute

The amount of fuel an airplane consumes in one minute.

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Study Notes

Eureka Math Assessment Packet - Grade 3 Modules 1 & 2

  • Assessment Packet Contents: Covers modules 1 and 2 for Grade 3. Provides assessment materials for mid-module and end-of-module assessments, with quantities listed for each.
  • Module 1 Assessments: Includes mid-module and end-of-module assessments. Quantity for each assessment is 30.
  • Module 2 Assessments: Includes mid-module and end-of-module assessments. Quantity for each assessment is 30.
  • Publisher: The non-profit organization, Great Minds.
  • Copyright: © 2015 Great Minds, with non-commercial use licensed under Creative Commons Attribution-NonCommercial-ShareAlike 4.0 license. Commercial use requires written permission.
  • Availability/Printing: Printed in the USA; available for purchase from eureka-math.org.
  • ISBN: 978-1-63255-398-0

Eureka Math Mid-Module Assessment Task 3.1 (Grade 3)

  • Tasks: Focuses on multiplication and division problems, involving arrays (rows and columns), representing items and adding or removing rows to calculate totals, demonstrating different multiplication scenarios, using multiplication to find total amounts, and using multiplication expressions to solve problems.
  • Concepts: Multiplication and Division, Arrays, and Adding/Removing to find Totals
  • Problem Types:
    • Represent the given problem using an array
    • Calculate the total number of items in the array
    • Demonstrate the multiplication process by adding more rows/columns of items
    • Write a multiplication sentence that relates to the array
    • Demonstrate multiplication facts in division

Eureka Math End-of-Module Assessment Task 3.1 (Grade 3)

  • Tasks: Focuses on multiplication and division concepts with word problems including grouping items into equal groups and understanding the relationship between multiplication and division.
  • Concepts: Multiplication, Division, Arrays, Relationship between Multiplication and Division.
  • Problem Types:
    • Relate the product from a multiplication sentence to a real-world situation or context
    • Represent the given grouping problem using a picture with multiplication
    • Write a multiplication and division sentence that relates to the problem
    • Find solutions to problems involving multiplication and division by representing them pictorially and using equations.

Eureka Math Mid-Module Assessment Task 3.2 (Grade 3)

  • Focus: Focuses on telling time (reading analog clocks), converting between different time units, solving problems involving a set time duration, determining time durations using number lines, and representing scenarios using visual aids and methods.
  • Concepts: Telling time (analog clocks), Time conversions (minutes/hours), Determining time durations.

Eureka Math End-of-Module Assessment Task 3.2 (Grade 3)

  • Focus: Focuses on measurement (weight, volume and time). The tasks include problems involving reading scales (like those used to measure weight or volume), converting between different units of measure, estimating amounts, using appropriate units, and solving problems involving time and duration.
  • Concepts: Measurement, Units Conversion (time/weight/volume).

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This quiz covers various problem-solving questions related to arithmetic operations and practical scenarios. It explores topics like weights, time management, and methods used in answering questions correctly. Perfect for reinforcing your understanding of basic math concepts and real-world applications.

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