Compare Unit Fractions
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
Videos, examples, solutions, and lessons to help Grade 3 students learn how to compare unit fractions by reasoning about their size using fraction strips.
Common Core Standards: 3.NF.3d, 3.NF.1, 3.NF.3a, 3.NF.3b, 3.NF.3c, 3.G.2 New York State Common Core Math Grade 3, Module 5, Lesson 10 Worksheets for Grade 3
Application Problem
Sarah makes soup. She divides each batch equally into thirds to give away. Each family that she makes soup for gets 1 third of a batch. Sarah needs to make enough soup for 5 families. How much soup does Sarah give away? Write your answer in terms of batches.
Bonus: What fraction will be left over for Sarah?
Lesson 10 Concept Development
Using Fraction Strips
- Fold fraction strips into halves, thirds,fourths, sixths, and eighths.
- Arrange the strips in order from the largest to the smallest unit. Notice that eighths are the smallest even though the number ‘8’ is the biggest. When the whole is folded into more units, then each unit is smaller. I only folded 1 time to get halves, and they’re the biggest.
- Look at 1 half and 1 third. Which unit is larger? 1 half Explain how you know. I can just see 1 half is bigger on the strip. When we split it between 2 people, the pieces are bigger than if we split it between 3 people. There are fewer pieces, so the pieces are bigger.
Using Circles
- Draw 5 circles that are the same size to represent pizzas
- Partition the circle into halves, thirds,fourths, sixths, and eighths. Label the unit fraction.
- What’s happening to our pieces the more we cut? Compare your drawings to your fraction strips. Do you notice the same pattern as with your fraction.
Lesson 10 Homework
- Each fraction strip is 1 whole. All the fraction strips are equal in length. Color one fractional unit in each strip. Then answer the questions below.
- Circle less than or greater than. Whisper the complete sentence. a. 1/2 is ___ 1/3 b. 1/9 is ___ 1/2 c. 1/4 is ___ 1/2 d. 1/4 is ___ 1/9 e. 1/5 is ___ 1/3 f. 1/5 is ___ 1/4 g. 1/2 is ___ 1/5 h. 6 fifths is ___ 3 thirds
- After his football game, Malik drinks 1/2 liter of water and 1/3 liter of juice. Did Malik drink more water or juice? Draw and estimate to partition. Explain your answer.
- Compare unit fractions and write <, >, or =. a. 1 fourth ___ 1 eighth b. 1 seventh ___ 1 fifth c. 1 eighth ___ 1/8 d. 1 twelfth ___ 1/10 e. 1/15 ___ 1 thirteenth f. 3 thirds ___ 1 whole
- Write a word problem using comparing fractions for your friends to solve. Be sure to show the solution so that your friends can check their work.
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Solve problems involving comparing unit fractions
I can solve problems involving comparing unit fractions.
Lesson details
Key learning points.
- When comparing unit fractions, the greater the denominator, the smaller the fraction.
- When comparing unit fractions, the smaller the denominator, the larger the fraction.
- Equal parts may not look the same.
Common misconception
Children may still fall into the habit of considering the greater denominator to be a greater fraction.
Continue to revisit a fraction wall where possible and use real life contexts and images. Ensure that the statement, 'When the whole is equal, the greater the denominator, the smaller the fraction.' is visible and constantly refer to it.
Whole - The whole is all of a group or number.
Part - A part is a section of the whole.
Denominator - A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.
Unit fraction - A unit fraction is a fraction where the numerator is 1
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Starter quiz
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Compare and Order Unit Fractions Worksheet
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
15 February 2024
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A worksheet that provides a variety of questions linked to being able to compare and order unit fractions.
Included as part of the worksheet are 8 different questions that provide variation to check understanding through the use of different models, representations and question styles.
Answers are also included for all questions.
This worksheet can easily be used as a worksheet when teaching the objective or used for recap/ revision or even to be sent home as homework.
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Compare and Order Non-Unit Fractions – Reasoning and Problem Solving
Compare and Order Non-Unit Fractions - Reasoning and Problem Solving
This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of comparing and ordering non-unit fractions.
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What's included in the pack?
Compare and Order Non-Unit Fractions reasoning and problem solving worksheet Answer sheet
National Curriculum Objectives:
(3F3) Compare and order unit fractions, and fractions with the same denominators
This resource is available to download with a Premium subscription.
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Ill. Admin. Code tit. 23 § 20.120
Effective elementary teachers:
Effective elementary teachers enable students to acquire the skills necessary for strong mathematical practice in that they are able to:
Elementary teachers are prepared to develop student proficiency and address common misconceptions related to counting and cardinality and:
Elementary teachers are prepared to develop student proficiency and address common misconceptions related to operations and algebraic thinking and:
Elementary teachers are prepared to develop student proficiency and address common misconceptions related to numbers and operations in base ten and:
Elementary teachers are prepared to develop student proficiency and address common misconceptions related to numbers and operations involving fractions and:
Elementary teachers should be prepared to develop student proficiency and address common misconceptions related to measurement and data and:
Elementary teachers should be prepared to develop student proficiency and address common misconceptions related to geometry and:
Ill. Admin. Code tit. 23, § 20.120
IMAGES
VIDEO
COMMENTS
Greater Depth Explain reasons for agreeing or disagreeing with a statement. Comparing unit fractions or fractions with the same denominator within twelfths using knowledge of equivalent fractions. Some pictorial support. Questions 2, 5 and 8 (Problem Solving) Developing Complete the sequence. Comparing unit fractions or fractions with the same ...
Various unit and non-unit fractions used. Images arranged randomly. Questions 2, 5 and 8 (Problem Solving) Developing Complete the table showing fractions in numbers, words and shapes. Using only halves, thirds and quarters. Expected Complete the table showing fractions in numbers, words and shapes. Various unit and non-unit fractions used.
Videos, examples, solutions, and lessons to help Grade 3 students learn how to compare unit fractions by reasoning about their size using fraction strips. Application Problem. Sarah makes soup. She divides each batch equally into thirds to give away. Each family that she makes soup for gets 1 third of a batch.
I can solve problems involving comparing and ordering unit fractions in a range of contexts. Download all resources. ... I can solve problems involving comparing and ordering unit fractions in a range of contexts. Download all resources. Share activities with pupils. Slide deck. Lesson details. Video. Worksheet. Starter quiz.
Reasoning and Problem Solving Step 8: Fraction of an Amount 2 National Curriculum Objectives: Mathematics Year 3: (3F1c) Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators Mathematics Year 3: (3F1b) Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit ...
2. 7/8. 9/10. Compare both fractions to a Benchmark of 1 and then compare the distance each fraction is from 1 using Same Number of Pieces (e.g., 7⁄8 is 1⁄8 less than 1 and 9/10 is 1/10 less than 1. 1⁄8 > 1/10 [Same Number of Pieces], so 7⁄8 is missing a larger amount than 9/10 is, which means that 9/10 > 7⁄8) 3.
Challenge your Year 3 students with this Fractions PowerPoint. The resource features a range of maths mastery activities based around the Year 3 objective: compare and order unit fractions and fractions with the same denominators. You'll find clear instructions that'll help your children to order unit fractions. It's an important area of Year 3 Maths, so you'll want to make sure the resources ...
6 Questions. Q1. Look at the picture. How many equal parts has the whole been divided into? 3, three, 3 parts, three parts, 3 equal parts. Q2. What fraction of the whole is indicated by each circled group in the picture? $$ \frac {1} {9} $$. $$ \frac {1} {3} $$.
Comparing Fractions Reasoning and Problem Solving. Here you will find high quality resources that can be used in Mathematics and English lessons together with worksheets, presentations and lesson ideas. This is a sample resource containing reasoning and problem solving when comparing fractions in Year 6. For a full year's worth of reasoning ...
National Curriculum Objectives: Mathematics Year 3: (3F2) Recognise and show, using diagrams, equivalent fractions with small denominators Mathematics Year 3: (3F3) Compare and order unit fractions and fractions with the same denominators Mathematics Year 3: (3F4) Add and subtract fractions with the same denominator within one whole Mathematics ...
pdf, 402.82 KB. A worksheet that provides a variety of questions linked to being able to compare and order unit fractions. Included as part of the worksheet are 8 different questions that provide variation to check understanding through the use of different models, representations and question styles. Answers are also included for all questions.
These questions are comparing and ordering fractions. ... KS2 Reasoning Test Practice Compare and Order Fractions Resource Pack contains: Order Fractions [PDF] Twinkl Key Stage 2 - Year 3, 4, 5, ... Compare and Order Non-Unit Fractions Differentiated Maths Activity Sheets.
Reasoning and Problem Solving - Compare and Order Less than 1 - Teaching Information. 1a.Wynter is comparing 17 and 9 . 22 11. I know that is bigger than 17. 22 . 9. 11 because 17 is bigger than 9. D. 1b. Xin is comparing the fractions 6 and. 8 .
Reasoning and Problem Solving Unit and Non-Unit Fractions Reasoning and Problem Solving Unit and Non-Unit Fractions Developing 1a. False, because there is no representation for . 2a. 3a. Yes because one out of three of the toys is a yoyo, which is a unit fraction. Expected 4a. False, because there is no representation for . 5a. 6a.
Questions 2, 5 and 8 (Problem Solving) Developing Use digit cards to complete a multiplication of unit fractions by integers. Expected Use digit cards to complete a multiplication of unit fractions by integers. Fractions need to be reduced to their simplest form using knowledge of equivalent fractions. Greater Depth Use digit cards to complete ...
Explain your reasoning. 6a.Hannah ordered a set of fractions from smallest to largest. Explain her mistake and write the fractions in the correct order using their common numerator. 6b. Adeel ordered a set of fractions from. Explain his mistake and write the fractions in the correct order using their common numerator.
Reasoning and Problem Solving - Equivalent Fractions - Year 5 Developing. 4a.Amelia has coloured two grids to create an equivalent fraction. =. Two parts are shaded in each grid so they show equivalent fractions. Amelia correct? Explain your answer. E. 4b. Conrad has coloured two grids to create an equivalent fraction.
Compare and Order Non-Unit Fractions reasoning and problem solving worksheet Answer sheet. National Curriculum Objectives: (3F3) Compare and order unit fractions, and fractions with the same denominators . This resource is available to download with a Premium subscription.
This comprehensive teaching pack has been written to complement Version 3.0 of the White Rose Maths scheme of learning for Year 3, Spring Block 3 Step 5: Compare and Order Non-Unit Fractions. This pack contains a variety of fluency, reasoning and problem-solving questions, giving children the opportunity to develop their skills and understanding of comparing non-unit fractions. The pack ...
Reasoning and Problem Solving - Multiply Non-Unit Fractions by an Integer - Teaching Information. 1a. 1b. 15 I think the answer is . 15 I think the answer is . 12 I think the answer is . 13 I think the answer is . 3a. number or symbol to make the comparison statements correct. 3b. number or symbol to make the comparison statements correct.
Questions 1, 4 and 7 (Reasoning) Developing Explain if a statement about equivalent fractions is true. Includes doubling the starting fraction. Using pictorial support. Expected Explain if a statement about equivalent fractions is true. Includes denominators that are direct multiples of the starting fraction. Using pictorial support.
Questions 3, 6 and 9 (Reasoning and Problem Solving) Developing Compare and order three improper fractions and explain. Includes fractions where the denominators are multiples of the same number (halving and doubling only). Pictorial representations used. Expected Compare and order three improper fractions and explain.
The Diving into Mastery worksheets include fluency, reasoning and problem-solving activities that give children the opportunity to master comparing and ordering fractions less than 1, both with pictorial support from bar models and by using their knowledge of equivalent fractions. The accompanying PowerPoint can be shown to the class beforehand ...
Section 20.120 - Mathematics Standards for Elementary Teachers a) Core Content Area Knowledge 1) College Algebra . Effective elementary teachers: A) identify, solve and apply linear and absolute value equations and inequalities; B) identify and interpret the domain, inverse (if it exists) and graph polynomial, rational, exponential and logarithmic equations; C) identify the sum, difference ...