Jump to content
  • Length model fractions

    Models of Fractions Without using standard measuring devices , express the length of the mystery piece as a fraction of a meter, for exa often use area models or length models in fraction tasks without ascertaining that each child is confident in the applications of measurement that they will need to use as a tool to help them think conceptually about the task at hand Seco 26 Oct 2016 How can we support learners as they encounter rational numbers and fractions? Which is I was pretty pleased by how finding the common denominator here is dressed up as scaling to make the denominators a common length. Linear Model: Paper Strips. This is how you visually solve a multiplication problem with fractions using an area model. Connecting cubes, in contrast, can be used as&n models of area and length. b Recognize and generate simple equivalent fractions, e. Example 6: Interactive worksheets that use fraction strips, pie model, visual graphics and more. Students in 3rd and 4th grade can practice finding equivalent fractions using an area model, length model, and number lin Make a Fraction. b. Two  8 Feb 2014 models of area and length. The shaded areas below represent the fractions and . if half a length is1 and ¾ feet, how long is the whole? •I bought a box of candy. To model a fraction, students have to shade required number of parts of an interactive model. When written A linear model uses a number line to show the size of a fraction. Students can practice multiplying nonequivalent fractions using an area model without concrete materials, such as 10 Apr 2020 What is a length model in fractions? In linear models of fractions, the length of the whole is divided into equal lengths. 17 H Activity 4: Generalizations About Multiplying Fractions A9. All that is left is to count the number of parts that the unit has (6) and those that are marked (2). 9 H Activity 3: Using the Area Model for Multiplying Fractions A9. This 39 slides digital notebook uses embedded videos to make the math visual by showing students how to build and identify equivalent fractions using area model, length model, and number lines. Answers are fractions in lowest terms or mixed numbers in reduced form. 3. Record the results of comparisons with symbols (>, =, <) and justify the conclusions by i) reasoning about their size and using area and length models, ii) using benchmark fractions 0, 1/2, and 1, iii) comparing common numerators or common denominators. Special fractions such as unit and reciprocal fraction included. Part-Whole relationships can be shown by models of region, length, set, and area. e. 1. A fraction is identified as being a  31 Jan 2019 The length model: The first images of the length model usually involve a paper strip that is folded in one direction to show fractions (this example shows fifths). Visit origoeducation. 3 Feb 2013 Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Today I want to focus on There are many ways to tackle this, but let's just consider a length model. Some more examples: The given image is of a rectangle, and for every rectangle, the length is longer than its breadth. Give pupils 4 equal length paper  opportunities to use different models when learning fractions. Powell shows how to use length manipulatives to help students divide fractions. Model Fractions Worksheet also exposes students to fractions of a real life object, like a pizza or a watermelon. 2. Area diagrams. Teachers may use any of these manipulatives to develop the measurement or linear model: number line rulers linking cube trains Cuisenaire rods fraction bars MODELS FOR FRACTIONS Linear Models One useful model for fractions is the liner model. kasandbox. · 2. center. Here, the whole is modeled as one long, undivided rectangular tile. Fill in the chart. - Use fraction kits. Tools for measuring the length Models provide an effective visual for students and help them explore fractions. Then an is set to be “a copies of 1n. Draw a tape diagram to solve. This Surfing for Fractions game has 25 problems that include comparing fractions using area models, length models, and number lines. Visit origoe What is a length model in fractions? In linear modelsof fractions, the lengthof the whole is divided into equal lengths. The shaded tiles form a rectangle. H Activity 2: Fraction Multiplication Story Problems A9. 2- Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models. 4 years ago. How can we generate equivalent fractions and build models to show they are equivalent? Standards. Each of the two models has its Give them paper to draw the area models as you explain them. Additionally, there are length, area, region, and set models. 37 H Activity 7: Area Word Problems with Mixed Numbers A9. In particular, it is best to use the area form of the array, as shown on the right, for the whole number example 4 by 6. In this lesson you will learn how to multiply fractions by whole numbers by using visual models. This is actually a number. Use fractions to complete the sentences. Analysis: Compare fractions Ability to judge the relative size of two or more fractions Identify the greatest to the least given fractions. Introducing Fraction Models: An ORIGO One Video. Repeat with Fractions Sets #4 and #5. This product has a whole, halves, thirds, fourths, sixths, and eighths. One advantage of the number line model is that it all Multiplying Fractions. Fractions and Area Models will help students practice this key fourth grade skill. This can cause confusion at first because students are not used to thinking of the unit as a set. Have students remove Set #2 and provide them with Fractions Set #3 to consider for both the linear and model models. Students will need more opportunities to think about fraction equivalence with different examples and models, but this t The sizes of fractions can be modelled by lengths or areas provided it is clear what the unit is. Explore some of these worksheets for free. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators Exploring the Length Model of Fractions. Measure the length of your paper or math textbook u Teach fractions using fractions model, solve complex questions with the model method, learn different ways to draw such models and boost your kids' confidence in math. NO. Exploring the length model of fractions. In pairs, pupils use paper strips of various lengths to represent fractions. For example, the length of the ruler in the picture is 15 cm. kastatic. A fraction can then be shown by another VA SOL 2. Posted in Educator Resources, Fraction Fundamentals, Tailored Professional Development  6 Sep 2016 You can find fraction cards similar to those shown in this video in our ORIGO Number Cases. Direct students' attention to the number line. リードディフューザー/スティック/交換用/フレグランス 【送料無料】【baobab】 リードディフューザー用 ラタンスティック 20本入 30cm ナチュラル リード スティック ルームフレグランス【メール便】| ディフューザー アロマ スティック  . In this room, 5/29 are male 5. Fraction Models. For example: 1/2 ÷ 1/3. Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Do you have any lightbulb moments to share with us? Comment below. To continue, we divide the unit referring to the denominator of the fraction which indicates the length of the tablecloth (2/3). In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the factors or the quotient and divisor define the length and width of the rectangle. An area model is a square that you divide into equal-sized rectangles to represent a fraction. How much did the candy originally weigh? •PRODUCT AND FACTORS model •Finding a factor that, when multiplied by ½, makes 1 ¾ fraction models? The whole, or unit, is the length that is defined to represent 1. Using Models. 1664 Overcoming Errors in Fraction Computation. Recognize that comparisons are valid only when the two fractions refer to the same whole. So we should call this number right over here 1/5. There is focus on vocabulary, including fraction, denominato 15. , a set model), or part of a length (i. Students need many concrete experiences with fractions to develop a deep understanding of the students use the number line model found on rulers or divide fraction strips into the appropriate sections by l NF. However, the most universal visual representation is the array. Two or more of these strips placed side-by-side allows comparison of different fractions and identification of equivalent fractions. In real-world contexts this use of fractions is common, yet it is less common in classrooms. 4 Illustrate examples across fraction models for developing the concept of equivalence. 31 May 2019 Dr. Express your answer as a fraction. •Using a number line, explain that the numerator of a fraction represents the number of lengths of the unit fraction from 0. Equivalent Fractions. Dividing strips of paper into equal lengths is an example of using a linear model to represent fractions. When fractions are represented given the same-size whole, we can compare them, find equivalent forms, and compute with them. The models used include area models and linear models (i. Using an area model, explain that the numerator of a fraction represents the number of equal parts of the unit fraction. One of our models for multiplying whole numbers was an area model. Whole numbers: Up to 3 digits in length. Each unit fraction is part of one whole (the number 1). Adjust numerators and denominators to see how they alter the representations and models. Children understand fractions better when they are used in a real life context such as length, time, money and weight - the way we use them every day as adults. Enter mixed numbers with space. This is a review video to help students identify and write fractions when giving an area model. The number line is a powerful model that builds the understanding that fractions are numb area-model-23-by-37-300x189. Discuss how the area of the top of the desk is an area model. The area model is better to explain multiplication of fractions. This is a number. Characteristics: with greater than, less than and equal symbols, and justify the conclusions, e. , by using a visual fraction model. So if we wanted to figure out the length of that side, it would be 268 divided by two. Fractions (Basic) Printable fraction games and printable worksheets; Manipulative fraction strips, printable fraction pizzas, a memory-matching game, and more. Click on the number line to "mark" a position. AREA MODEL: In the area model fractions are represented as parts of an area or region. Compare fractions visually, on a number line, or numerically using the least common denominator. Using an area model is also helpful in adding and subtracting fractions with unlike denominators. Fraction Number Line. For example: 2 1/2 ÷ 1 1/3 ÷ Third graders can practice comparing fractions with this self-checking game played on Google Slides™. by Emphasizing Unit Fractions, Length Drawings, and Student Explanat Practice math problems like Equivalent Fractions using Models with interactive online worksheets for 3rd Graders. Can use a numberline to model fractions using length. Students develop different mental images for a fraction by using multiple models, so “3/4” can be blue pieces out of 4 that cover a whole circle; it can be a length of a paper strip partitioned into 4 equal parts having 3 parts shaded; it can be a point on a number line between 0 and 1 that is a distance of 3 out of 4 equal spaces from 0. Explain that a unit fraction is one of those parts. Beneath it are tiles of equal length divided into different numbers of equally sized parts. Equivalent Fractions Models (A) Welcome to The Equivalent Fractions Models (A) Math Worksheet from the Fractions Worksheets Page at Math-Drills. How long is one of the pieces of this tape compared to the length of the original piece? When something is model. In linear models of fractions, the length of the whole is divided into equal lengths. The shaded part represents a fraction of the whole. The ar Name and write fractions represented by a set, region, or length model for halves, fourths, eighths, thirds, and sixths. 20 Apr 2020 Use the rectangle in the interactive below to model division with fractions. a fraction strip). You can find fraction cards similar to those shown in this video in our ORIGO Number Cases. MP4 Model with mathematics. This page has worksheets and activities for teaching students about equivalent fractions and reducing fractions into simplest terms. They can set up area models for each fraction just as we did before to compare. These fraction worksheets on number line help kids to visually understand the fractions. Length models like fraction strips, drawn fraction. Enter simple fractions with slash (/). Students can practice multiplying nonequivalent fractions using an area model without concrete materials, such as by creating a grid using paper and pencil, or with concrete materials such as fraction grids. It is possible to use the set, length or number line models for some situations involving multiplication or division of fractions. Model and compare fractions using area models. Here are some math concepts you can model with fraction sticks and area models: Equivalent Fractions. Let us start with a segment of some length that we call 1 unit:. Throughout this section you will use the areas and In a part-whole fraction, the digit in the denominator indicates the fractional unit, or the number of equi-partitions of the whole being considered. Compare the unit fractions for halves, fourths In this lesson students will investigate the relationship between area models and the concept of multiplying f. 2 Name the types of fractions models and describe activities for each. Provide the students with identical strips of paper, representing the length/measurement model for fractions, to use during the activity. Math. B) Part of area covered as it relates to the whole unit. com. 3 Explain foundational concepts of fractional parts, including iteration and partitioning, and connect these ideas to CCSS-M expectations. In area models and length models, the total number of equally partitioned pieces represents the denominator of the product. Recognize that the resulting interval has Explain why the fractions are equivalent, e. 45 A fraction is a way of representing part of a whole region (i. May 31, 2019 · Subtracting Fractions with Unlike Denominators using the Length Model May 31, 2019 April 13, 2020 ~ Taylor Cox Dr. ” That is, an is defined to be a×1n with repea Your team should include at least one grade 3-5 teacher who will be teaching a fractions unit. , 3/4 of an inch). + 1 + 1/8 = 8/8 + 8/8 + 1/8. However, children learn fractions better by using models, which give a visua 1 Mar 2018 Number lines help us find equivalent fractions. In earlier examples, we used circles and rectangles to model fractions. If you're behind a web filter, please make sure that the domains *. This fraction wall shows that halves can be expressed as fourths, eights, twelfths or tenths; thirds can be written as sixths or twelfths; and so on. Dividing fractions calculator. And we've traveled 1 of them towards 1. Dividing strips of paper into equal lengthsis an example of using a linear modelto represent fractions. Input proper or improper fractions, select the math sign and click Calculate. Folded fraction pieces. 15. The side length of each small tile is units. b) 4 ÷ 5 c) 8 ÷ 5 2. Move your mouse left and right, and explore the different fractions. 2 Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models. Visual Fractions started way back in 1999 as a way to help students learn about fractions and to understand them using interactive visual tools. Area Model. Every fraction is a multiple of a unit fraction. origoeducation. Equivalent Fractions & Simplifying. CCSS. LINEAR MODEL: In the linear model lengths are compared instead of areas (e. Identify and create equivalent fractions using visual models. The denominator names that part. 4 The student will a) name and write fractions represented by a set, region, or length model for halves, fourths, eighths, thirds, and sixths; b) represent fractional parts with models and with symbols; and Well if you multiply these two sides, you get the area, so if you start with the area, if you start with 268, 268, and you divide by the other side, divide by the other side, you're going to get the length of this side right over here. Then, look at the number line model for 3 / 6. From 0, the marker for is reached by taking four steps to the right each of length . The squares below are each considered to have area 1. Dividing strips of paper into equal length In area models and length models, the total number of equally partitioned pieces represents the denominator of the product. , an area model), part of a group (i. • Why is the number line being divided into. Apply and extend previous understandings of multiplication to multiply a fraction or w Length models are associated with fractions as measure. This is a fraction calculator with steps shown in the solution. One advantage of the number line model 22 Oct 2014 Area-model representations seem to have been dominant in the teaching and learning of fractions, especially in Students were requested to fold three narrow colored paper strips, all the same length, separately into two 29 May 2014 Progress Indicator: E. This length can be broken or divided into equal parts or pieces to represent fractional parts of the whole. b. fraction multiplication, area model, denominator, What fraction does the shaded part represent? The rectangle below has the same length as the rectangle above. Each set is available separately in my store, but this is the bundle of both SET A (one dimension is fractional) and SET B (both dimensions are fractional). In the area and length/measurement fraction models, the parts must be equivalent. NC. was an adaptation for teacher education of the “Measurement Approach” to teaching fractions developed by the Lindquist, Lambdin, & Smith, 2006), that regions, lengths, or sets can all serve as models for the part-whole meaning of Activity. Well, it makes complete sense that, look, we had 5 equal sections here. The length model, extended to show several strips together, makes it easy for students to find equivalent fractions with denominators that are the same. In what follows, we describe six multimodal activities that demonstrate how. Set the denominators with the arrow buttons, and then set the numerators with the arrow buttons or by clicking in the models. 1 - Identify equivalent fractions (related and unrelated denominators) - Convert back and forth between common fractions and mixed numbers MEASUREMENT AND DATA - I can convert like measurement units when given a measurement system. Show the addition sentence to support your answer. Use this fraction calculator for adding, subtracting, multiplying and dividing fractions. For example, the product 23 \times 37 is the area ( number of Let us start with a segment of some length that we call 1 unit: Now, b Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. SplashLearn offers easy to understand fun math lessons aligned with common core for K-5 kids and homeschoolers. Finding Equivalent Fraction. You can find fraction cards similar to those shown in this video in our ORIGO  Linear models. •the PARTITIVE model •finding a number such that ½ of it is 1 ¾ •e. You can find fraction cards similar to those shown in this video in our In linear models of fractions, the length of the whole is divided into equal lengths. So when we're talking about a fraction, 1/5, it's not just talking about, hey, what part of a pizza pie have I eaten or something like that. Area is a quantity that describes the size or extent of a two-dimensional figure or shape in a plane. Then, have them explain their shading to a partner in their L1 or L2 using key vocabulary terms Definition: A unit fraction is a fraction whose numerator is one. Decimal Unit - Compare, Model, Relate to Fractions | Print an o What does the length between each mark on the number line represent from the problem? o How does your model represent the fraction? What represents the numerator? The denominator? • Quarters are a good model of real life fractions. - Establishing the  Comment: In the number-line model, a fraction of the form 1n is set as the section length that results in dividing a unit line segment into n equal parts. SplashLearn is an award winning math learning program used by more than 40 Million kids for fun math practice. Explain why the fractions are equivalent, e. This is a helpful tool to help students compare fractions. C) Count of objects in the subset as it relates to defined whole. , by using a visual fraction 3 May 2017 Food can also be a nice reward for demonstrating understanding of area model of fractions. org are unblocked. Use this set of pdf comparing fractions worksheets featuring pie models to reason out the size of fractions. Represent fractional parts with models and with symbols. c. Fractions are modeled using rectangular area models, circles, and other shapes, as well as length models. a. A fractionis identified as being a particular distance from the 'start' of the whole. So the product of two fractions, say, 47×23 should also correspond to an area problem. In a linear model, the total length of a line is divided into equally spaced intervals. What is a fraction? Complete the Frayer model to describe a unit fraction. 2-Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models. A. A) Location of a point in relation to 0 and other values. from ORIGO Education. In a continuous model, such as a number line or shape, there is equal length or area in Document Type: Article. , 3/4 of an i 1 May 2018 Exploring the Length Model of Fractions. This math worksheet was created on 2016-11-28 and has been viewed 642 times this week and 2,951 times this month. , number lines, Cuisenaire rods, fraction rods, line segment drawings, etc. The set model uses a set of objects as a whole. Also learn the facts to easily understand math glossary with fun math worksheet online at SplashLearn. 4 The student will a) name and write fractions represented by a set, region, or length model for halves, fourths, eighths, thirds, and sixths; b) represent fractional parts with models and Model simple fractions by using pictures and models. Ability to arrange two or more fractions in order based on their size Synthesis: Explain how a fraction can be modeled (fractions can Related Surface Area Calculator | Volume Calculator. Since then, we have expanded to become an online reference - covering fraction and math calculators, percentages, unit conversions, and more. 5. Powell demonstrates how to use the number tiles to subtract fractions with unlike denominators. com/product/number-case- english-and-spanish/… Fractions. Encourage students to discuss the connections between the models. Encourage them to shade in their squares in different colors or have lines angle one way to represent one fraction while the lines angle another way to represent the other fraction. If you're seeing this message, it means we're having trouble loading external resources on our website. Measurement or Linear Model: students use the number line model found on rulers or divide fraction strips into the appropriate sections by length. How long is each piece of ribbon? Draw a tape diagram to show your thinking. This fraction game is self-paced and adaptable for in-person or d Length is modeled by any unit of length being partitioned into fractional parts with each part being equal in length. We can also represent fractions by shading areas. Teaching about equivalent fractions involves using math tools like bar models, fraction strips and number lines. This short video is a great introduction to the various models you can use to teach fractions. B, multiplying mixed numbers using the area model. Number lines are an effective alternative to traditional visual models that we use to&nbs 29 Jan 2018 Teaching fractions, fraction lessons, fraction lesson plans, fraction activities, common core fractions. Identify the fractions described by the model and compare them using the <, >, and = symbols. It is important to define the whole so that the students will be able to identify other fractional parts within the length model. What doe Fractions Definition: A proper fraction is a number that represents part of a whole region, set or length. An example of Equivalent Fractions: 14 is the same as 28, 312 and 416 (Use the Fraction Number Line to see why) Cookie Fractions Strand: Number and Number Sense Topic: Identify, write, represent, and compare fractions Primary SOL: 2. Definition of Equivalent Fractions explained with real life illustrated examples. • Use area, length and set models or equations to solve one-step word problems involving division of whole numbers that lead to fractions or mixed numbers • Multiply a whole number by a fraction, including mixed numbers • Write equations involving division by unit fractions and whole numbers by unit fractions to Equivalent Fractions on Google Slides Digital Notebook. 🤓 Did you notice something about their lengths? They're all the same length! It's easy to recognize equivalent fractions using number lines - just check if their lengths are the same. You can enter up to 3 digits in length for each whole number, numerator or denominator (123 456/789). To represent, for example, fractions with denominator 3, we divide each unit segment is reached by taking four steps to the right each of length . This ORIGO ONE series of videos show yo This is the most common understanding of fractions. png. Content. Aug 07, 2017 · Using an Area Model to Add/Subtract Fractions. Using a number line, lines across the circles instead of making sectors from the. Students cut and paste the fraction words or numbers on the length model. Identify the statement that is the definition of the length model. , a measurement model). c . org and *. 31 H Activity 6: Multiplying Domino Fractions A9. In a region/area model, the parts must have the same area. Enter fractions and press the = button. Please subscribe and share! New videos added weekly. Represent and identify unit fractions using area and length models. The length of one strip of paper is equal to one whole. Results 1 - 24 of 3473 Browse fractions and length resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources. 1n Comparing and modeling fractions, including with different denominators and grid or dot paper), length models (e. Length: 3,654 words For example, Cuisenaire rods are often used to model fractions linearly, whereas simple counters can be used as discrete models for fractions. It can be visualized as the amount of paint that would be necessary to cover a surface, and is the two-dimensional counterpart of the one-dimensional length of a curve, and three-dimensional volume of a solid. , 1/2 = 2/4, 4/6 = 2/3. Jackie cut a 2-yard spool into 5 equal lengths of ribbon. This ORIGO ONE  THREE CATEGORIES OF FRACTION MODELS · 1. These 15 lessons emphasize that every fraction is a single quantity with a unique place on the number line. Example: (4/7 × 2/3). •Using an area model, explain that the numerator of a fraction represents the number of equal parts of the unit fraction. Develop a number line using paper strips to emphasize to students that the whole is the length bet length tape. B. In a linear model, the whole (or unit) is lengths of intervals in comparison In earlier examples, we used circles and rectangles to model fractions. How This model shows a unit square divided into smaller square tiles. Use computer software to show fractional parts and equivalence. Partitioning refers to dividing a shape, such as a rectangle, into equal pieces. MD. 3. Number lines help us see a fraction as a number that comes between two whole numbers. Dividing fractions calculator online. Use the table to keep track of interesting fractions. 23 H Activity 5: Target 1: Fractions A9. com/number-case Do you have any lightbulb moments to share with us? Comment below. Here, the arrow above the ruler denotes the length of the ruler as it is the longest side of the ruler. NF. I have ½ of it (weighing 1 ¾ kg) to my friend. 1 - Convert between customary units of length, capacity and mass This is a bundle of my 2 sets of task cards designed to support 5. Improper fractions (we know there’s nothing “improper” about them!) and mixed numbers are also introduced. To start, kids need each fraction to have the same number of parts (again, a “like denominator”). Length/measurement model. In other words, even in an intuitive discussion of fractions for beginning students, we should instill the right way to think about them: these are numbers. See Equivalent Fractions and where they fit on the Number Line. 4 equal lengths? Possible answer: because 4 is the denominator of the fractions, which means there will Year 4 | Spring Term | Week 5 to 8 – Number: Fractions. With that, we already have the fraction which is the result of the multiplication problem 2/3 x 1/2 = 2/6. 7 Jun 2016 You can find fraction cards similar to those shown in this video in our ORIGO Number Cases. Fractions can also be modeled as manipulatives called fraction tiles, as shown in the image below. 4. This is a post sponsored by ORIGO Education. With the length or measurement models , lengths or measurements are compared instead of areas. 👉 First, draw a number line model for A fraction is a numerical way of representing part of a whole region (i. why the fractions are equivalent, e. Please subscribe and share! New videos added weekly. Keep exactly one space between the whole number and fraction and use a forward slash to input fractions. Useful manipulatives include Cuisenaire rods or fraction strips that are easily connected to ideas about fractions on a number line. A prevalent theme in the Grade 4 Common Core standards is understanding equivalent fractions, or, more precisely, the notion that a fraction remains Comparing Fractions - Pie Models. A fraction is identified as being a particular distance from the 'start' of the whole. A fraction such as ¾ represents a whole which has been partitioned into 4 equal parts and 3 of those parts are being considered. g. Nov 15, 2014 · Children use the ruler picture to work out what 1/2, 1/4 and 3/4's of different measurements are. In examples 6 through 8, we will identify the fraction represented by the shaded portion of each shape. Consider how the resulting small blue square represents dividing the large blue square twice. Visit https://www. How to Use. Add like, unlike, proper, improper and mixed fractions. Construct fraction models (area models, length models, and set models). CCSS, Content Standards to specific grade/standard. Let's find a fraction equivalent to 2 / 3. Examples: 2 1/8 = 1. What is the length of each ribbon in feet? Equivalent fraction worksheets contain step-by-step solving process, identifying missing numbers, finding the value of the variables, completing the chain of equivalent fractions, writing equivalent fractions represented by pie models and fraction bars and representing the visual graphics in fractions. 5. The area of each small tile is square units. Fractions on a Number Line. Students also practice problem-solving and reasoning about equivalent fractions. Can you use the model to Underneath, compare the same length bar split into four equal parts. Express whole numbers as fractions, and recognize fractio the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations. Either number lines are drawn and subdivided or physical materials are compared on the basis of length. Adding Fractions. Try our free exercises to build knowledge and confidence. All opinions are our own.