1 unit = 24
3 units = 72
XM had 72 cards before second game
After Ali lost 1 5 of his cards to Xiaoming, he was left with 4 units as 1 unit was won by Xiaoming (Refer to the numerator and denominator). Thus, 4 units = 24
XM | A | |
First game | 96 – 30 = XM had 66 cards at first | 4 units = 24 1 unit = 6 5 units = 30 Ali had 30 cards at first |
Work forward with the answer you have.
XM → 66 A → 30
A → of 30 = 6 30 – 6 = 24 XM → 66 + 6 = 72
XM → of 72 = 24 72 - 24 = 48 (correct!) A → 24 + 24 = 48 (correct!)
Try to pick out the contextual clues that tell you that Working Backwards can be used.
Alan bought some fish. One day, 6 of his fish died. After that, he bought the same number of fish as those which were still alive. He gave away all his fish equally among 8 friends and each friend had 4 fish. How many fish did Alan have at first?
A MRT train left Bugis station with some passengers. At Lavender station, no passengers alighted and the number of passengers who boarded the train was 1 4 of the original number of passengers in the train. At Kallang station, 2 5 of the passengers alighted and 51 passengers boarded the train. At Aljunied station, 2 3 of the passengers alighted and 24 passengers boarded the train. At Paya Lebar station, all 122 passengers alighted from the train. How many passengers were there when the train left Bugis Station?
Whenever possible, use a table or draw boxes to help you solve Working Backwards questions in an orderly and systematic manner.
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Teacher Zen has over a decade of experience in teaching upper primary Math and Science in local schools. He has a post-graduate diploma in education from NIE and has a wealth of experience in marking PSLE Science and Math papers. When not teaching or working on OwlSmart, he enjoys watching soccer and supports Liverpool football team.
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Math heuristics for problem solving, primary 3 working backwards & its method, what is working backwards in math.
The scenario occurs when the quantity data is insufficient to work from the beginning . Working Backwards is a problem-solving strategy in which you start with the end goal and work backward to figure out the steps needed to get there. In other words, instead of starting from the beginning and moving forward, you start from the end and move backward. This strategy is commonly used in math problems that ask you to find a starting value or figure out what happened before a given situation.
Let's take a look at this primary 3 word problem example:.
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Sarah had some pens. She bought 34 pens. She then threw away 29 pens as they were spoilt. In the end, she had 64 pens. How many pens did Sarah have at first?
Identify the Concept
We know this is a Working Backwards question as…
Workings Explained
Always remember when we work backwards, everything will be reversed. Example the 2nd sentence – “She bought 34 pens”. We know when we buy things, we will have more. We need to add. However, when we work backwards, instead of adding, we need to subtract.
Sarah had 59 pens at first.
We know this is a Working Backwards question as we were not told the number of pens Sarah had but were asked for the number of pens she had at first.
See other problem-solving strategies and methods
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Problem Sum is a term commonly used in the context of math education, particularly in regions that follow the Singapore Math curriculum . It refers to a type of math problem that typically involves multiple steps and requires students to apply various mathematical concepts and strategies to find the solution. These problems are often word problems that describe a real-world scenario, requiring students to read, comprehend, and analyze the situation before applying the appropriate math operations to solve it.
In essence, a Problem Sum combines elements of arithmetic and logical reasoning , challenging students to think critically and use their problem-solving skills. It is a key component in developing a deeper understanding of math concepts and enhancing analytical abilities in students.
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Solve each problem by using the work backward strategy. 1.On Monday everyone was present in Mr. Miller's class. At 12:00, 5 students left early for doctors' appointments. At 1:15, half of the remaining students went to an assembly. Finally, at 2:00, 6 more students left for a student council meeting. At the end of the
Use the Fundamental Counting Principle to find the total number of outcomes in each situation. rolling two number cubes and tossing one coin. choosing rye or Bermuda grass and 3 different mixtures of fertilizer. making a sandwich with ham, turkey, or roast beef; Swiss or provolone cheese; and mustard or mayonaise.
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Online Calculators Study to Go. Mathematics. Home > Chapter 1 > Lesson 8. New York Math Connects: Concepts, Skills, and Problem Solving, Course 3. Chapter 1, Lesson 8: Problem-Solving Investigation: Work Backward ... To report a technical ...
Welcome to the Math Challenge #7. In this challenge, most problems can be solved by using the "Working Backwards" strategy. You will need to start with the final solution and work back one step at a time to get to the beginning. In mathematics, when we use the 'working backward' strategy, we can reverse the operation or use the
Welcome to the Math Challenge #14. Most problems in this set require you to work backwards. Working backwards is a particularly useful method in situations when the end result of a problem is known, and one has to find the initial quantity. If you are new to any of the problem solving strategies, check out our complete overview of elementary ...
For problems where you need to create a timeline, meet a deadline, or understand the steps needed to complete a task, working backwards can be a great problem-solving process. To do this, imagine that the task has already been completed or the problem has already been solved with a satisfactory outcome, and work backwards to see what steps were ...
Before students can learn to recognize when this is a helpful strategy, they must understand what it means. Working backwards is to start with the final solution and work back one step at a time to get to the beginning. It may also be helpful for students to understand that this is useful in many aspects of life, not just solving math problems.
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. North Carolina Math Connects: Concepts, Skills, and Problem Solving, Course 2. Chapter 3, Lesson 4: Problem-Solving Investigation: Work Backward ... To report a technical ...
Examples of working backwards to tackle a problem. First we will read the two examples and have a quick think about them and then we will look at how working backwards can help us with each one: Angle Problem. The following diagram shows an isosceles triangle and a square drawn on a straight line. Find the size of angle A: Fraction Shaded Problem.
Working backward is a problem-solving strategy where you start from the desired end result or goal and work your way back to the initial conditions or starting point.. It's a useful technique ...
5.0. (1) $15.00. Zip. Problem Solving Strategies, word problems, warm-ups, puzzles, number talks, task cards, and google slidesThis resource is a collection of word problems (and their solutions) ,print task cards, and google slides to solve using different strategies such as 1. Create a diagram/ picture 2.
Retrograde analysis is a style of problem solving where you work backwards from the endgame you want. It can help you win at chess -- or solve a problem in real life. At TEDYouth 2012, chess grandmaster Maurice Ashley delves into his favorite strategy. Watch Think. Dig Deeper Discuss. Customize this lesson.
Working Backwards is a non-routine heuristic that all pupils learn in primary schools. Many pupils learn this heuristic as early as when they were in primary two. You can easily find this heuristic being included in one of the topics in assessment books. Though common, this heuristic is in fact one of the toughest in primary Mathematics syllabus.
The scenario occurs when the quantity data is insufficient to work from the beginning.Working Backwards is a problem-solving strategy in which you start with the end goal and work backward to figure out the steps needed to get there. In other words, instead of starting from the beginning and moving forward, you start from the end and move backward.
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Online Calculators Study to Go. Mathematics. Home > Chapter 1 > Lesson 8. Oklahoma Math Connects Concepts, Skills, and Problem Solving Course 3. Chapter 1, Lesson 8: Problem-Solving Investigation: Work Backward ... To report a technical problem ...
California Standards Practice (STP) Vocabulary Review Lesson Resources Extra Examples ... Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. California Mathematics: Concepts, Skills, and Problem Solving, Grade 6. Chapter 3, Lesson 4: Problem-Solving Investigation: Work Backward ... To report a technical problem with this ...
Find problem-solving-investigation-work-backward educational resources online at Lumos Learning. ... are provided with detailed answer & explanations for every question plus access to online resources to improve skills. ... - Get ready access to thousands of grade-appropriate practice questions and lessons - Find information about nearby ...
Write this amount in exponential form. 3. VOLUME To find the volume of a rectangular box you multiply the length times the width times the height. In a cube all sides are the same length. If the cube has length, width, and height of 6 inches, write the volume as a product. Then write it in exponential form. 4.
TAKS Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards Personal Tutor Self-Check Quizzes ... Texas Mathematics, Course 3. Chapter 1, Lesson 8: Problem Solving Investigation: Work Backward. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes; Log In. The resource you requested requires you ...
TAKS Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards Personal Tutor Self-Check Quizzes ... Texas Mathematics, Course 2. Chapter 4, Lesson 4: Problem-Solving Investigation: Work Backward. Extra Examples; Group Activity Cards; Personal Tutor; Self-Check Quizzes; Log In. The resource you requested requires you ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. Oklahoma Math Connects Concepts, Skills, and Problem Solving Course 2. Chapter 3, Lesson 4: Problem-Solving Investigation: Work Backward ... To report a technical problem ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Online Calculators Study to Go. Mathematics. Home > Chapter 1 > Lesson 8. Indiana Math Connects: Concepts, Skills, and Problem Solving, Course 3. Chapter 1, Lesson 8: Problem-Solving Investigation: Work Backward ... To report a technical ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Group Activity Cards ... Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. South Carolina Math Connects: Concepts, Skills, and Problem Solving, Course 2. Chapter 3, Lesson 4: Problem-Solving Investigation: Work Backward ... To report a technical ...