Bookmark this to easily find it later. Then send your curated collection to your children, or put together your own custom lesson plan. My Education. Log in with different email For more assistance contact customer service. Entire paid surveys. Lesson plans. Fourth Grade. Fractions as Whole Number Multiples. Lesson plan. Share this lesson plan. Teach your students to use number lines to illustrate fractions as products, specifically where one factor is a fraction and one fraction is a whole number.
Contents Contents:. Grade Fourth Grade. Thank you for your input. No standards associated with this content. Which set of standards are you looking for? Students will be able to illustrate fractions as products using a number line. Introduction 5 minutes. Call out the following equation to your students pausing at "equals Have them think, pair and share with a partner.
Have students share as a whole class and note any academic language and terms for future reference.
Fractions of a Whole
Point out to your students that in each of the opening examples, a sum of unit fractions can be written as a product of a whole number and a fraction. Summarize by sharing with your class: You can write any fraction as a product of a whole number and a fraction in three steps. You can even illustrate it on a number line, which is what this lesson is all about.
Guide your students through the three-step explanation. Guided Practice 10 minutes. Have your students take turns going through the three-step process with exercise 1 providing another example. Answer any clarifying questions. Independent working time 10 minutes.
Download to read more. Support For practice, provide several fractions as exercises for writing number sentences where one factor is a whole number and the other is a unit fraction.
Print out a sheet of open number lines for students to practice illustrating number sentences where one factor is a unit fraction and the other is a whole number. Enrichment Pose challenge exercises that include improper fractions and mixed numbers. A computer with Internet access and a projector makes for a great set-up to display student assignments, examples and answers.
Assessment 5 minutes. Divide your students into four groups and assign each group a number Assign each group a corresponding task: Tell the whole number factor. Tell the unit fraction factor. Tell the Sum of Unit Fractions sentence. Give a brief explanation of how it would be illustrated on a number line.This is a lesson for 3rd grade math about the concept of a fraction.
Students color parts to illustrate fractions, write fractions from visual models and from number lines, and learn to draw pie models for some common fractions. Lastly they divide shapes into equal parts themselves and show the given fraction. A whole is divided into two equal parts. ONE part is one half. ONE part is one sixth. ONE part is one tenth. Four fourths. There are seven equal parts. Three sevenths. Two fifths. After halves, we use ordinal numbers to name the fractional parts thirds, fourths, fifths, sixths, sevenths, and so on.
Color the parts to illustrate the fraction. Write the fractions, and read them aloud. You should get 8 parts. Don't count the little lines. One of them is like this:. How many of them are colored? How to draw pie models. Halves: split the circle with a straight line. Thirds: draw lines at 12 o'clock, 4 o'clock, and 8 o'clock. Fourths: First draw halves, then split those like a cross pattern.
Fifths: Draw like a man doing jumping jacks. Draw the pie models and color the parts to illustrate the fractions. Then write 1 whole as a fraction. Divide the shapes into equal parts, and color some of the parts, to show the fractions. Divide the shapes into equal parts.
Shade ONE part. Write the area of that part as a fraction of the whole area. Divide the shape into two equal parts. Divide the shape into three equal parts. Divide the shape into six equal parts. Divide the shape into four equal parts. Divide the shape into five equal parts.Students will learn to divide whole objects into equal parts and to identify those parts as fractions. Bookmark this to easily find it later. Then send your curated collection to your children, or put together your own custom lesson plan.
My Education. Log in with different email For more assistance contact customer service. Entire library. Lesson plans. Third Grade. Fractions as Part of a Whole. Lesson plan. Share this lesson plan.
Fractions as Part of a Whole
In this lesson, students will learn how to understand that a fraction is a number that describes the relationship between a part and a whole. Contents Contents:. Grade Third Grade. Thank you for your input. No standards associated with this content. Mathematics CE. Which set of standards are you looking for? Introduction 10 minutes. Tell students that this activity will introduce them to fractions as parts of a whole. Show students a drawing of a square and circle divided into 4 equal parts each and a hexagon divided into 6 equal parts.
These can be drawn on an interactive whiteboard, blackboard, whiteboard, or on chart paper.English Language Arts. Partition a whole into equal parts, identifying and counting unit fractions using concrete area models.
Partition a whole into equal parts, identifying and counting unit fractions using concrete tape diagrams i. Partition a whole into equal parts, identifying and counting unit fractions using pictorial area models and tape diagrams, identifying the unit fraction numerically.
Place a fraction greater than 1 on a number line with endpoints 0 and another whole number larger than 1. Understand two fractions as equivalent if they are the same point on a number line referring to the same whole. Use this understanding to generate simple equivalent fractions. Understand two fractions as equivalent if they are the same sized pieces of the same sized wholes, though not necessarily the same shape. Express whole numbers greater than 1 as fractions whose unit is 1 e.
Compare unit fractions a unique case of fractions with the same numerators by reasoning about the size of their units. Recognize that comparisons are valid only when the two fractions refer to the same whole. Compare fractions with the same numerators by reasoning about the size of their units. Compare fractions with the same denominators by reasoning about their number of units. Number and Operations—Fractions 3. Recognize that equal shares of identical wholes need not have the same shape.
Too often, when students are asked questions about what fraction is shaded, they are shown regions that are portioned into pieces of the same size and shape. The result is that students think that equal shares need to be the same shape, which is not the case. If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 benefits from worked example. Find more guidance on adapting our math curriculum for remote learning here.
Start with a square sheet of paper and make folds to construct a new shape. Explain how you know the shape you constructed has the specified area. Accessed March 29,p.
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Then pose a specific place your expressions and analyse the operand fractions.Fractions can be a difficult concept to teach. Often we get very focused on fractions as a part of a whole or part of a set, and teach fractions mostly as parts of a pizza, parts of a pie, etc.
Fractions are more than parts of a pizza. Our students must be able to think deeply and conceptually about fractions. Students should understand fractions as numbers that come between specific whole numbers.
For example, there are other numbers that come between 0 and 1, such as one-fourth, one-half, or two-thirds. A number line is an important tool that should be used frequently throughout your fractions unit.
Below I have included a full lesson plan for teaching fractions on a number line. This is intended as an introductory lesson for this concept. I have also included a printable version of this lesson plan for you. Download it HERE. In this lesson students will be introduced to the idea of fractions on a number line.
This lesson only uses halves, thirds, and fourths as a starting point for this concept. Activating Prior Knowledge — Spend a few minutes reviewing what students already know 3 minutes. By this time you have spent time teaching students about fractions as part of a whole or part of a set.
Review this concept:. Acquiring New Knowledge — In this part of the lesson our students will acquire new knowledge. Guided Practice — In this part of the lesson students will work with fraction bars to enhance their understanding. These task cards for Fractions on a Number Line are a great way to reinforce this skill in a variety of different ways in order to maximize understanding. Get them HERE. Now that students have been introduced to the concept of fractions on a number line, we can keep reinforcing this concept.
In upcoming lessons, be sure to focus on the following concepts:.A circle is a geometric shape that we have seen in other lessons. The circle to the left can be used to represent one whole. We can divide this circle into equal parts as shown below. Definition: A fraction names part of a region or part of a group. The top number of a fraction is called its numerator and the bottom part is its denominator. There are two equal parts, giving a denominator of 2.
One of the parts is shaded, giving a numerator of 1. There are three equal parts, giving a denominator of 3. Two of the parts are shaded, giving a numerator of 2. There are four equal parts, giving a denominator of 4.
Note that the fraction bar means to divide the numerator by the denominator. Let's look at some more examples of fractions. In examples 1 through 4 below, we have identified the numerator and the denominator for each shaded circle.
We have also written each fraction as a number and using words. One-fifth Two-fifths Three-fifths Four-fifths. We use a hyphen to distinguish a fraction from a ratio. For example, "The ratio of girls to boys in a class is 3 to 4. We do not know how many students are in the whole class.
Thus a ratio names a relationship, whereas, a fraction names a number that represents the part of a whole. When writing a fraction, a hyphen is always used. It is important to note that other shapes besides a circle can be divided in equal parts. For example, we can let a rectangle represent one whole, and then divide it into equal parts as shown below.
Remember that a fraction is the number of shaded parts divided by the number of equal parts. In the example below, rectangles have been shaded to represent different fractions. The fractions above all have the same numerator. Each of these fractions is called a unit fraction. Definition: A unit fraction is a fraction whose numerator is one. Each unit fraction is part of one whole the number 1. The denominator names that part.
Every fraction is a multiple of a unit fraction.