my homework lesson 4 estimate sums and differences

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  Estimate Sums and Differences by Rounding

  Related Topics: Lesson Plans and Worksheets for Grade 3 Lesson Plans and Worksheets for all Grades More Lessons for Grade 3 Common Core For Grade 3

  Examples, solutions, and videos to help Grade 3 students learn how to estimate sums and differences of measurements by rounding, and then solve mixed word problems.

  Common Core Standards: 3.NBT.2, 3.NBT.1, 3.MD.1, 3.MD.2

  New York State Common Core Math Grade 3, Module 2, Lesson 21 Worksheets for Grade 3

  Application Problem

  Gloria fills water balloons with 238 mL of water. How many milliliters of water are in 2 water balloons? Estimate to the nearest 10 mL and 100 mL. Which gives a closer estimate? Note: This problem reviews Lesson 17 by having students round to estimate sums and then calculate the actual answer. It reviews addition because this lesson includes mixed practice with addition and subtraction.

  Concept Development

  Each table has the premeasured items and measurement tools listed below. Students work together to measure weight, length, and capacity. Next, they round to estimate sums and differences, then use the standard algorithm to solve.

  • There are 153 milliliters of juice in 1 carton. A 3-pack of juice boxes contains a total of 459 milliliters. a. Estimate, and then find the total amount of juice in 1 carton and a 3-pack of juice boxes. 153 mL + 459 mL ≈ ____ + ____ =____ 153 mL + 459 mL = ____
  

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  Estimating Sums and Differences (Decimals) Worksheets

  How to Estimate Operations with Decimals - Things are really easy in math unless fractions and decimals come into play. It is widely observed that many students find difficulty in solving sums that involve decimals. Decimals can be a bit confusing at times, especially when we are trying to solve sums involving numbers with multiple decimal places. In such a situation, things become a lot messier, and it is really difficult to keep track of your progression. Finding the answer to the problem involving a mathematical operation and two or more decimal numbers can be tough at first, but constant practice can make it easier. However, doing these sums in your head and trying to get an estimate can be tough, and this won’t get much easier even if you do the mental math a lot. An easy way of getting an estimate of operation with decimals is to break the number into its decimal and integral part. Try to solve the integral part and the decimal part separately and then combine both the answers to come up with the final answers. This is the way of getting an estimate of operations with decimals.

  Basic Lesson

  Demonstrates how to estimate sums with decimals through the use of round estimation. Also includes practice problems. Estimate: 1.466 + 2.54 1. 1.466 Rounded to nearest whole number is 1. 2. 2.54 Rounded to nearest whole number is 3. Therefore. sum of 1.466 + 2.54 is 1 + 3 = 4.

  Intermediate Lesson

  Uses a larger more difficult numbers to round than the basic lesson.

  Independent Practice 1

  20 problems ask you to estimate sums and differences with decimals. The answers can be found below.

  

  Independent Practice 2

  20 practice problems that review estimating sums and differences with decimals. The answers can be found below.

  Homework Worksheet

  12 problems to reinforce the lessons and practice pages. An example is provided.

  10 problems that test sum and difference with decimals estimation skills.

  Homework and Quiz Answer Key

  Answers for the homework and quiz.

  Lesson and Practice Answer Key

  Answers for both lessons and both practice sheets.

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  Estimating Sums and Differences with Fractions Worksheets

  How to Quickly Estimate the Sums and Differences with Fractions - Estimation is an important skill to learn, both in math and in everyday life. However, adding and subtracting with fractions can be complicated. Since they are not whole numbers, but a portion of it. Thus, to estimate sums and differences with fractions, you need to convert the fractions to either a 0, 1/2 or a 1. Let's suppose, and you have to add 9/16 + 5/12. Initially, you need to convert the first fraction to the nearest 1/2 since it is less than 12/16. (3/4) and greater than 4/16(1/4). Now, the second fraction also rounds to 1/2, since, it's higher than 3/12(1/4) and less than 9/12(3/4). If we add 1/2 and 1/2, we get an answer 1, which will be the approximate answer. Students can use these worksheets and lessons to learn how to take estimates of fraction operations.

  Aligned Standard: 5.NF.A.1

  • Unlike Denominators Step-by-Step Lesson - We introduce you to three golden rules of fraction estimation.
  • Guided Lesson - I start to throw some mixed numbers in the mix for you. We are working on the core skill estimate and then add or subtract.
  • Guided Lesson Explanation - You will find that rounding mixed numbers is a bit easier than just straight fractions.
  • Larger Numbers Worksheet 5 Pack -Now you will start to see bigger numbers. Just remember we are just worried about whole numbers.
  • Practice Worksheet - I have no idea why I stated the problem in each case. Most likely because I saw it on a previous national test.
  • Matching Worksheet - This can be a tangled web of sorts it is a matching sheet to work on this skill with.
  • Sums and Differences Estimation Practice - There is plenty of space to hammer these out with.
  • Estimating Differences Lesson and Practice - This focuses on subtracting numbers to find the difference.
  • Answer Keys - These are for all the unlocked materials above.

  Homework Sheets

  You have to love rounding the sums of fractions! Mixed numbers are a whole different ball game.

  • Homework 1 - If the numerator is much smaller than the denominator, then the result will be 0.
  • Homework 2 - To round, a mixed number to the nearest whole number, look at the fraction part. If the fraction is less than 1/2, round down.
  • Homework 3 - If the fraction is greater than or equal to 1/2, round up.

  Practice Worksheets

  You are supposed to estimate them, not calculate them.

  • Practice 1 - If the numerator is about one half of the denominator, than the result will be 1/2.
  • Practice 2 - If the numerator and the denominator are close to each other than result will be 1.
  • Practice 3 - We have to follow the 3 rules while calculating sum or differences of fractions.

  Math Skill Quizzes

  Some of these are tough. Take you time to soak in the fraction that you are working with.

  • Quiz 1 - Some times students will just subtract the numerators. Start by finding a common base.
  • Quiz 2 - This whole numbers appear more here. We move on to full on mixed number values.
  • Quiz 3 - Don't forget to carry your values over to the fractions. Remember estimate your answer first and then work on the precise answer.

  Why Is Estimating Fraction Operations So Helpful?

  In our complex world we constantly encountering values of all different kinds. A vital portion of the number sense is understanding the concept of value with fractions. The main concept that students should focus on, when it comes to this topic, is whether the value is closer to one or zero. This will allow you to quickly estimate values. Especially when it comes to processing addition and subtraction operations. As we adapt this skill to real world problem, we may just want to get in the habit of estimating by always going up a full whole number, regardless if the fraction is closer to zero or a whole value of one. While precision is one thing, accommodating the scenario is a whole different topic altogether. Think of a situation where you have cases of fruit like strawberries, grapes, and peaches. Some of the cases are partial full, creating a fractional portion. If you need to move those cases of fruit into new containers, you would need to estimate up to accommodate a situation like this.

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  Estimating Sums and Differences

  Published by Kimberly Strickland Modified over 6 years ago

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  Presentation on theme: "Estimating Sums and Differences"— Presentation transcript:

  

  Chapter 3 L3-4 Notes: Estimating Sums & Differences.

  

  3-1 Estimating Fractions and Mixed Numbers A.) Estimating sums and differences of fractions One way to estimate sums/differences of fractions is to round.

  

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  Lesson 5 -1:. A benchmark is a number that is easy to use when you estimate. When estimating the sums and differences of fractions, we use the benchmarks.

  

  Holt CA Course Estimating with Fractions x = = = Warm Up Solve. x = 24.6 x = x = x t 4.1 x 15.1.

  

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  The process of replacing a number by another number that is close to the same value. What’s Our Rule for the Boss?

  

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  Find the sum or difference. Then simplify if possible.

  

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  Chapter 3, Lesson 4: Estimating Sums and Differences

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