Fourth Grade Number and Operations Fractions

Essential Skills and Knowledge	Teacher Resources	Student Resources
4.NF.A.1	Teacher Resources	Student Resources
Students will explain why a fraction a/b is equivalent to fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Students will use this principle to recognize and generate equivalent fractions.	Equivalent Fractions Introduction A teaching tool to introduce to students why a fraction a/b is equivalent to fraction (nxa)/(nxb) by using visual fraction models. Equivalent Fractions A teaching tool to show students how fractions are equivalent. Simplifying Fractions A teaching tool to explain why a fraction a/b is equivalent to fraction (nxa)/(nxb) by simplifying fractions. Mixed Numbers & Improper Fractions A teaching tool to use visual model to explain to students the different of mixed numbers and improper fractions. Exploring Equivalent Fractions This is a lesson from Discovery that incorporates video to teacher the standard 4.NF.A.1. It includes video links, worksheets, student tasks, and teacher directions. Note: *Login to Discovery Streaming Education before selecting links.* Simplest Form Fractions This is a lesson from Discovery that incorporates video to teacher the standard 4.NF.A.1. It includes video links, worksheets, student tasks, and teacher directions. *Note: Login to Discovery Streaming Education before selecting links.* EQUIVALENT FRACTIONS USING VISUAL MODELS In these LearnZillion video lessons, students will explain why a fraction a/b is equivalent to fraction (nxa)/(nxb) by using visual fraction models. LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK Equivalent Fractions Recognize Equivalent Fractions using Number Lines Generate Equivalent Fractions using Area Models Generate Equivalent Fractions using Number Lines *Generate Equivalent Fractions by Multiplying or Dividing by One	Equivalent Fractions Bingo Students will identify equivalent fractions with ("Easy" mode) or without visual models ("Challenge" mode) to get BINGO. Matching Fractions Students will match equivalent fractions. Play on "timed" mode for an extra challenge! Equivalent Fraction Generator Students will create two equivalent fraction models for a given fraction. A number line is included. Alien Equivalent Fractions Students will guide their alien ship to the correct fuel pods by selecting correct equivalent fractions. Reduce Fractions Students will practice writing fractions in simplest form (no visuals) in this interactive website. Equivalent Fractions Students will identify equivalent fractions of a set (includes visual). Visual Fractions Students will use a tutorial that will models fractions with lines or circles. Includes identification and renaming fractions. Triplets - Equivalent Fractions Students will have to identify 3 equivalent fractions. Thirteen ways to make 1/2 Students will show 1/2 in a square divided in 8ths. Each way must be unique. Fraction Monkeys Students will match monkeys to an equivalent fraction. Fractone - Fractions to One Students will use visual models to match fractions to equal one. Memory Fractions Students will play a matching game to find equivalent fractions. Number Eater Fractions Students will eat equivalent fractions to avoid the monsters.
4.NF.A.2	Teacher Resources	Student Resources
Students will compare two fractions with different numerators and different denominators by creating common denominators or by comparing to a benchmark fraction such as 1/2. Students will recognize that this comparison is only valid when the two fractions refer to the same whole. Students will record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.	Fraction Sliders A teaching tool where students order fractions with the help of a slider tool. Compare Fractions to One-Half A teaching tool that includes a LearnZillion introduction and interactive practice comparing fractions to 1/2. Compare Fractions A teaching tool that compares two fractions with different numerators and different denominators by creating common denominators or by comparing to a benchmark fraction such as 1/2. Comparing and Ordering Fractions This is a lesson from Discovery that incorporates video to teacher the standard 4.NF.A.2. It includes video links, worksheets, student tasks, and teacher directions. *Note: Login to Discovery Streaming Education before selecting links.* COMPARING FRACTIONS In these LearnZillion video lessons, students will compare two fractions with different numerators and different denominators by creating common denominators or by comparing to a benchmark fraction such as 1/2. LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK Compare Fractions... Using Benchmark of One-Half Using Benchmark of One Whole With Different Denominators Using Number Lines With Different Denominators Using Area Models With Different Denominators Using Set Models By Creating Common Denominators Mixed Numbers... Represent a Fraction Greater Than One Using Area Models Create Equivalent Fractions That Are Greater Than One	Comparing Fractions Students will plug in numerators and denominators for two fractions and the site will provide a visual model to compare them. Scale Fractions Students will drag fraction bars to a scale to compare. Fraction Bars Students will manipulate up to four sets of fraction bars to compare and order Find Grammy - Estimate and Locate Fractions Students will estimate and locate fractions on a number line to find Grammy in a game of Hide and Seek. Tug Team Dirt Bike Fractions Students will compare two different fractions by playing a game of Tug-O-War. Fractotron Students will compare fractions with unlike denominators.
4.NF.B.3 - Students will understand a fraction a/b with a > 1 as a sum of fractions 1/b.
4.NF.B.3.A	Teacher Resources	Student Resources
Students will understand addition and subtraction of fractions as joining and separating parts referring to the same whole.	Adding & Subtracting Fractions A teaching and interactive tool to help students understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Adding & Subtracting Fractions with Unlike Denominators A teaching and interactive tool to help students understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Adding Fractions with Unlike Denominators A teaching and interactive tool to help students understand addition and subtraction of fractions as joining and separating parts referring to the same whole. A teaching and interactive tool to help students understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Adding Fractions This is a lesson from Discovery that incorporates video to teach the standard 4.NF.B.3. It includes video links, worksheets, student tasks, and teacher directions. *Note: Login to Discovery Streaming Education before selecting links.* Subtracting Fractions This is a lesson from Discovery that incorporates video to teach the standard 4.NF.B.3. It includes video links, worksheets, student tasks, and teacher directions. Note: *Login to Discovery Streaming Education before selecting links.* Adding and Subtracting Mixed Fractions This is a lesson from Discovery that incorporates video to teacher the standard 4.NF.B.3. It includes video links, worksheets, student tasks, and teacher directions. Note: *Login to Discovery Streaming Education before selecting links.* DECOMPOSE A FRACTION In these LearnZillion video lessons, students will understand addition and subtraction of fractions as joining and separating parts referring to the same whole. LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK Add Fractions by Joining Parts Subtract Fractions by Separating Parts	Math Man - Adding & Subtracting Fractions Students will navigate a maze and add and subtract fractions with like denominators. Fraction Splat Students will "splat" fractions according to the rules of the game. Includes looking for mixed numbers, fractions less than 1/2, and fractions greater than or equal to 1. Add Fractions with Like Denominators Students will practice adding fractions through this interactive game. Add Fractions Students will click on fractions that add up to one whole through this interactive game. Fruit Shoot Fraction Addition Students will add fractions with either like or unlike denominators based on the version chosen. Simplifying is also an option. Interactive Fraction Quiz Students will use this interactive quiz to practice simplifying, converting, and multiplying decimals, percentages, and fractions.
4.NF.B.3.B	Teacher Resources	Student Resources
Students will decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Students will justify their decompositions using a visual fraction model.	Decomposing Fractions A Smartboard introduction that includes a Learn Zillion video that explain to students how to decompose a fraction into a sum of fractions with the same denominator in more than one way. DECOMPOSE A FRACTION In these LearnZillion video lessons, students will decompose a fraction into a sum of fractions with the same denominator in more than one way. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Decompose Fractions I Decompose Fractions II	Decomposing Fractions Students will create equations by decomposing a given fraction. Decomposing Fraction Practice Practice problems with an answer key for decomposing fractions.
4.NF.B.3.C	Teacher Resources	Student Resources
Students will add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.	Add Mixed Numbers A teaching tool with guided practice problems to complete on the Smartboard (includes visuals) to for students to add mixed numbers with like denominators. Adding Fractions With Like Denominators A teaching tool with practice problems on adding fractions with like denominators. ADD AND SUBTRACT MIXED NUMBERS In these LearnZillion video lessons, students will add and subtract mixed numbers with like denominators. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Add Mixed Numbers Using an Area Model - 1 of 2 Add Mixed Numbers Using an Area Model - 2 of 2 Add Mixed Numbers Using a Number Line Subtract Mixed Numbers Using an Area Model Subtract Mixed Numbers Using a Number Line Adding Mixed Numbers Using Properties of Operations *Subtracting Mixed Numbers Using Properties of Operations	Converting Mixed Numbers Students will convert mixed numbers to improper fractions with this self-checking activity. Math Man - Mixed Numbers to Improper Fractions Students will navigate a maze by converting mixed numbers to improper fractions. Clara's Ice Cream Shop Use your knowledge of mixed numbers and improper fractions to fulfill ice cream orders.
4.NF.B.3.D	Teacher Resources	Student Resources
Students will solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.	PROBLEM SOLVING WITH FRACTIONS In these LearnZillion video lessons, students will solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Solving Problems with Fractions Subtract Fractions with Like Denominators Add Fractions with Like Denominators Using a Number Line Subtract Fractions with Like Denominators using a Number Line	Thinking Blocks - Fractions Students will solve word problems by labeling bar models/diagrams. Thinking Blocks - Modeling Tool Students will solve word problems by modeling. Can use built in ones or type in your own. After clicking "Start", click the "Problems" button, then the green button in the top righthand corner. Choose "Fractions" from the drop-down menu to solve fraction problems. Math Playground - Word Problem Database Students will solve word problems that they choose (or their teacher chooses) from the database. *Select from the "Fraction" problem sets.
4.NF.B.4 - Students will apply and extend previous understandings of multiplicaation to multiply a fraction by a whole number.
4.NF.B.4.A	Teacher Resources	Student Resources
Students will understand a fraction as a/b as a multiple of 1/b.	Multiply a Fraction by a Whole Number A Learn Zillion video that explains to students a fraction as a/b as a multiple of 1/b. Multiply Fractions by Whole Numbers A teaching tool to so students understand a fraction as a/b as a multiple of 1/b. REPRESENT FRACTIONS AS A SUM OF UNIT FRACTIONS In these LearnZillion video lessons, students will understand a fraction as a/b as a multiple of 1/b. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Using Pictures Using a Number Line *Using an Area Model	Build A Fraction Wall Students will use fraction bars to visualize the relationship between a given fraction (a/b) and the unit fractions that create it (1/b). From this link, choose "Build A Fraction Wall".
4.NF.B.4.B	Teacher Resources	Student Resources
Students will understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a fraction by a whole number.	Multiply Fractions by Whole Numbers An Introductory lesson so students will understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a fraction by a whole number. Multiply Fractions with Recipes (Requires teachers to set up a free account.) A Video and interactive activities that can be used as a self paced activity to help students understand a multiple of a/b as a multiple of 1/b and use this understanding to multiply a fraction by a whole number. PRODUCTS IN MULTIPLICATION In this LearnZillion video lesson, students will learn to assess the reasonableness of the product by estimating. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* *Estimate Products in Multiplication of Whole Numbers and Fractions	Multiply Fractions by Whole Numbers - Number Lines Students will multiply fractions by whole numbers using given number lines for reference. (Teacher Note: IXL allows a certain number of practice problems each day. Past that, a membership is required. Students can still practice without the membership but will be limited in the number of problems they can practice). Multiply Fractions by Whole Numbers - Visual Models Students will choose the correct visual model to match the expression. (Teacher Note: IXL allows a certain number of practice problems each day. Past that, a membership is required. Students can still practice without the membership but will be limited in the number of problems they can practice). Fractions Multiplied by Whole Numbers Students will rewrite a given fraction as an expression of a whole number and a unit fraction.(Teacher Note: IXL allows a certain number of practice problems each day. Past that, a membership is required. Students can still practice without the membership but will be limited in the number of problems they can practice). Extension - Multiply Fractions by Whole Numbers Sort Students will multiply fractions by whole numbers then sort their products into given categories. (Teacher Note: IXL allows a certain number of practice problems each day. Past that, a membership is required. Students can still practice without the membership but will be limited in the number of problems they can practice). Multiply Fractions by Whole Numbers - 10 Questions Students will answer 10 questions that involve multiplying fractions by whole numbers. Multiply Fractions Game Students will practice multiplying a whole number by a fraction through this interactive game. Requires Java.
4.NF.B.4.C	Teacher Resources	Student Resources
Students will solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.	Multiplication with Fractions Word Problems A teaching tool to challenge students to use manipulatives, visual models and algorithms to solve three word problems. PROBLEM SOLVING In these LearnZillion video lessons, students will solve word problems involving multiplication of a fraction by a whole number. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Using Repeated Addition Using a Number Line Using a Fraction Model By Converting a Whole Number into a Fraction	Recipe Fraction Multiplication Students will multiply fractions in a recipe by a given whole number. (Teacher Note: IXL allows a certain number of practice problems each day. Past that, a membership is required. Students can still practice without the membership but will be limited in the number of problems they can practice). Multiply Fractions by Whole Numbers Practice Students will use Khan Academy practice questions to multiply fractions by whole numbers.
4.NF.C.5	Teacher Resources	Students Resources
Students will express a fraction with a denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.	EQUIVALENT FRACTIONS In these LearnZillion video lessons, students will express a fraction with a denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Use a Number Line Use a Grid Model with Denominators 10 and 100 Generate Equivalent Fractions Using a Grid Model Add Fractions with Denominators 10 and 100	Make an Equivalent Fraction Students will make sets of equivalent fractions by filling in the blank. Includes fractions with a denominator of 10, 100, and 1,000 (extension). Equivalent Fraction Challenge In this activity you will have to rearrange fractions to make equivalent pairs and also correct equations.
4.NF.C.6	Teacher Resources	Students Resources
Students will use decimal notation for fractions with denominators 10 or 100.	Name That Decimal A teaching tool to show students decimal notation for fractions with denominators 10 or 100. Fractions & Decimals on a Number Line A teaching tool and interactive tool for students to show decimal notation for fractions with denominators 10 or 100. Connecting Fractions to Decimals This is a lesson from Discovery that incorporates video to teacher the standard 4.NF.B.3. It includes video links, worksheets, student tasks, and teacher directions. Note: *Login to Discovery Streaming Education before selecting links.* Fractions, Decimals, and Percents This video explain how parts of a dollar can be written as a fraction, decimal, or a percent. *Note: Login to Discovery Streaming Education before selecting links. .* Bowling Pins This video explains how the number of bowling pins knocked down out of ten can be shown as a fraction or a decimal. Note: *Login to Discovery Streaming Education before selecting links.* CONVERT DECIMALS TO FRACTIONS In these LearnZillion video lessons, students will learn to use decimal notation for fractions with denominators 10 or 100. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* To the Tenths Place using Number Lines To Fractions to the Hundredths Place using Visual Aids To the Tenths Place Using Visual Aids and Division To the Hundredths Place using Division	Model Decimals and Fractions Students will model given decimals and fractions. (Teacher Note: IXL allows a certain number of practice problems each day. Past that, a membership is required. Students can still practice without the membership but will be limited in the number of problems they can practice). Deception Students will group fractions and decimals to move ahead. Decimal and Fraction Matching Match fractions with the correct decimal
4.NF.C.7	Teacher Resources	Students Resources
Students will compare two decimals to hundredths by reasoning about their size. Students will recognize that comparisons are valid only when the two decimals refer to the same whole. Students will record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.	Compare Fractions and Decimals A teaching tool where students will compare fractions and decimals in various ways. Comparing Currency A teaching tool where students will compare two decimals to hundredths by reasoning about their size. Comparing Decimals A teaching tool where students will compare two decimals to hundredths by reasoning about their size. Decimals on a Number Line A teaching tool to show how to compare two decimals to hundredths by reasoning about their size. Compare and Order Decimals A teaching tool that will show students how to compare two decimals to hundredths by reasoning about their size. COMPARING DECIMALS in these LearnZillion video lessons, students will compare two decimals to hundredths by reasoning about their size. *LOGIN TO LEARNZILLION'S FREE ACCOUNT BEFORE SELECTING LINK* Decimals to the Hundredths Place Decimal Dollar Amounts using Coin Values Decimals to the Hundredths Place on a Number Line Decimal Lengths using a Ruler	Freddy Fractions Students will compare fractions and decimals by playing a turtle swimming game to find treasure. Match Fractions and Decimal Equivalents Students will match the fraction with the equivalent decimal Equivalent Decimals Students will match equivalent decimals in this "memory" game. Fruit Shoot Compare Decimals Students will compare decimals in this interactive game. Decimal Tug of War Students will have to decide whether to keep or discard a decimal based on its value. This activity also involves subtracting decimals.
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Teacher Notes

Website/Activity	Content Standards/Technology Standards
Reduce Fractions Equivalent Fractions	Common Core: 4.NF.1.Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Estimating and Locating Fractions Comparing Fractions	Common Core: 4.NF.2 Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, <, and justify the conclusions, e.g., by using a visual fraction model.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.3a Understand addition and subtraction of fractions as joining and separating parts referring to the same whole
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.3b- Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition as an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1+ 1/8; 2 1/8 = 8/8 + 8/8 + 1/8.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.3c- Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.3d Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.4a Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product of 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.4b Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 x (2/5) as 6 x (1/5), recognizing this product as 6/5. (In general, n x (a/b) = (n x a)/b.)
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.4c Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core: 4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Decimals	Common Core: 4.NF.6 Use decimal notation for fractions with denominators 10 and 100
	Technology Standard:3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Equivalent Decimals	Common Core: 4.NF7. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, <, and justify the conclusions, e.g., by using a visual model.
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core:
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core:
	Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
	Common Core:
	Technology Standard:3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.

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