**Math Links by Grade 4 Common Core Standards**

Number & Operations—Fractions (NF)

I Can Use Fractions to Help Me Understand Math

Number & Operations—Fractions (NF)

I Can Use Fractions to Help Me Understand Math

**4.NF.1 - I can explain (and show models for) why multiplying a numerator and a denominator by the same number does not change the value of a fraction.**

**Worksheets, Online Games, Quizzes**

- Finding Equal Fractions
- Fractions and mixed numbers: Equivalent fractions - IXL.com
- Fractions and mixed numbers: Patterns of equivalent fractions - IXL.com
- Fractions and mixed numbers: Reduce fractions to lowest terms - IXL.com
- Equivalent Fractions - mrnussbaum.com
- Reducing Fractions to lowest terms - mrnussbaum.com
- Patterns of Equivalent Fractions - mrnussbaum.com
- Tony Fraction’s Pizza Shop (game) - mrnussbaum.com
- Fraction Dolphins (game) - mrnussbaum.com

**Vocabulary**(online dictionary)- numerator
- denominator
- equivalent
- equivalent fractions

**Videos:**

Handout - The lesson directions and worksheet to use with Learn Zillon videos below.

**4.NF.2 - Extend understanding of fraction equivalence and ordering**

- I can compare two fractions with different numerators and different denominators by creating common denominators or numerators or by comparing them to a benchmark fraction like one-half.
- I can recognize that comparisons of fractions are valid only when the two fractions refer to the same whole.
- I can compare fractions using symbols and justify the comparison by using models.

**Worksheets, Online Games, Quizzes**

- Comparing Fractions
- Comparing Fraction Shapes - Print Worksheet
- Comparing Fractions - Print Worksheet
- Comparing fractions 2 - Khan Academy
- Comparing improper fractions and mixed numbers - Khan Academy
- Ordering fractions - Khan Academy
- Fractions and mixed numbers: Compare fractions - IXL.com
- Fractions and mixed numbers: Put fractions in order - IXL.com
- Add and subtract fractions: Inequalities with addition and subtraction of fractions - IXL.com
- Which fraction is larger? Using <, >, and = - mrnussbaum.com
- Finding a Common Denominator - mrnussbaum.com
- Adding Fractions with like denominators - mrnussbaum.com
- Subtracting Fractions with like denominators - mrnussbaum.com

**Vocabulary**(online dictionary)- numerator
- denominator
- fraction
- greater than
- less than, equal,

**Videos:**

Handout - The lesson directions and worksheet to use with Learn Zillon videos below.

- Learn Zillion - Compare fractions with different numerators and denominators using a number line
- Learn Zillion - Compare fractions with different numerators and denominators using area models
- Learn Zillion - Create common denominators using number line
- Learn Zillion - Create common denominators using area models
- Learn Zillion - Compare fractions with different numerators and denominators by multiplying or diving by 1
- Learn Zillion - Compare fractions using the benchmark fraction 1/2
- Learn Zillion - Compare fractions using the benchmark of one whole
- Learn Zillion - Compare fractions with different denominators using number lines
- Learn Zillion - Compare fractions with different denominators using area models
- Learn Zillion - Compare fractions with different denominators using set models
- Learn Zillion - Compare fractions by creating common denominators
- Learn Zillion - Use a number line to represent a fraction greater than one
- Learn Zillion - Represent a fraction greater than one using area models

**4.NF.3A - I can understand addition and subtraction of fractions as joining and separating parts referring to the same whole.**

**Worksheets, Online Games, Quizzes**

- Fractions Addition Like Denominators
- Fraction Addition Like Denominators - Print
- Fractions Subtraction Like Denominators
- Fractions Subtraction - Like Denominators - Print
- Add and subtract fractions: Add and subtract fractions with like denominators - IXL.com
- Add and subtract fractions: Add 3 or more fractions with like denominators - IXL.com
- Adding Fractions with Like Denominators
- Subtracting Fractions with Like Denominators
- Adding Multiple Fractions with Like Denominators
- Subtracting Multiple Fractions with Like Denominators
- Solving Fraction Problems and Answering in Lowest Terms

**Vocabulary**(online dictionary)- fraction
- numerator
- denominator

**Videos:**

- Khan Academy Video - Adding fractions with different signs
- Khan Academy Video - Adding Fractions with Like Denominators
- Khan Academy Video - Subtracting Fractions

Handout - The lesson directions and worksheet to use with Learn Zillion videos below.

- Learn Zillion - Decompose a fraction into a sum of fractions using an area model
- Learn Zillion - Add fractions with like denominators using a number line
- Learn Zillion - Subtract fractions with like denominators using a number line
- Learn Zillion - Subtract fractions with like denominators using an area model
- Learn Zillion - Add fractions with like denominators using an area model

**4.NF.3B - I can decompose a fraction into a sum of fractions with the same denominator.**

**Worksheets, Online Games, Quizzes**

- Mixed Number to Improper Fraction
- Improper Fraction to Mixed Number
- Mixed/Improper Fractions Identification - To Print
- Add and subtract fractions: Add and subtract fractions with like denominators - IXL.com
- Add and subtract fractions: Add 3 or more fractions with like denominators - IXL.com
- Addition and Subtraction Fraction Equations
- Decomposing Fractions (which of the following is 1/2?)

**Vocabulary**(online dictionary)- fraction
- numerator
- denominator

**Videos:**

- Khan Academy Video - Adding Mixed Numbers
- Khan Academy Video - Adding Mixed Numbers Word Problem

Handout - The lesson directions and worksheet to use with Learn Zillon videos below.

- Learn Zillion - Add fractions with like denominators from two different wholes
- Learn Zillion - Add fractions with like denominators in number sentences
- Learn Zillion - Subtract fractions with like denominators: labeling shapes
- Learn Zillion - Subtract fractions with like denominators: labeling sets
- Learn Zillion - Subtract fractions with like denominators starting from less than 1 whole
- Learn Zillion - Compare fractions: using pictures
- Learn Zillion - Compare fractions with the same numerator: using the greater than and less than symbols
- Learn Zillion - Understand that fractions are equal parts of wholes
- Learn Zillion - Find a fraction: identifying the parts of a whole
- Learn Zillion - Identify the parts of a set to find a fraction
- Learn Zillion - Decompose fractions: using addition
- Learn Zillion - Understand when mixed numbers and decimals are equivalent
- Learn Zillion - Convert improper fractions into mixed numbers: dividing
- Learn Zillion - Write improper fractions: dividing shapes
- Learn Zillion - Write improper fraction

**4.NF.3C - I can add and subtract mixed numbers with like denominators.**

**Worksheets, Online Games, Quizzes**

- Mixed Numbers Addition
- Mixed Numbers Addition, Simplest Form
- Mixed Numbers Subtraction
- Mixed Numbers Subtraction, Simplest Form
- Mixed Numbers Addition, Subtraction, Simplest Form
- Add and subtract fractions: Add and subtract mixed numbers with like denominators - IXL.com
- Identifying Mixed Numbers
- Adding and Subtracting Mixed Numbers with Like Denominators

**Vocabulary**(online dictionary)- fraction
- numerator
- denominator
- simplest form
- mixed number

**Videos:**

- Khan Academy Video - Adding fractions with different signs
- Khan Academy Video - Adding Fractions with Like Denominators
- Khan Academy Video - Changing an Improper Fraction to a Mixed Number
- Khan Academy Video - Converting Mixed Numbers to Improper Fractions
- Khan Academy Video - Subtracting Mixed Numbers
- Khan Academy Video - Subtracting Mixed Numbers 2
- Khan Academy Video - Subtracting Mixed Numbers Word Problem

- Learn Zillion - Add mixed numbers using an area model (Lesson 1 of 2)
- Learn Zillion - Add mixed numbers using an area model (Lesson 2 of 2)
- Learn Zillion - Subtract mixed numbers using an area model
- Learn Zillion - Add mixed numbers using a number line
- Learn Zillion - Subtract mixed numbers using a number line
- Learn Zillion - Add mixed numbers by finding equivalent fractions
- Learn Zillion - Subtract mixed numbers by finding equivalent fractions
- Learn Zillion - Adding mixed numbers by creating equivalent fractions
- Learn Zillion - Subtracting mixed numbers by creating equivalent fractions
- Learn Zillion - Adding mixed numbers using properties of operations
- Learn Zillion - Subtracting mixed numbers by using properties of operations

**4.NF.3D - I can solve word problems involving addition and subtraction of fractions with like denominators.**

**Worksheets, Online Games, Quizzes**

- Add and subtract fractions: Add and subtract fractions with like denominators: word problems -IXL.com
- Fraction Word Problems (Like Denominators)

**Vocabulary**(online dictionary)- fraction
- numerator
- denominator

**Videos:**

**4.NF.4A/B- I can multiply a fraction by a whole number.**

**Worksheets, Online Games, Quizzes**

- Multiplication of Fractions - Printable - WorksheetWorks.com
- Fractions Multiplication
- Fractions Multiplication Simplest Form
- Multiply fractions: Multiply fractions by whole numbers I (Fourth grade - S.1) - IXL.com
- Multiply fractions: Multiply fractions by whole numbers II (Fourth grade - S.2) IXL.com

__factor__

**Vocabulary**(online dictionary)- factor pairs
- multiple
- prime number
- composite number

**Videos:**

Handout - The lesson directions and worksheet to use with Learn Zillion videos below.

- Learn Zillion - Multiply a fraction by a whole number using visual models and repeated addition
- Learn Zillion - Solve word problems involving multiplying a fraction by a whole number
- Learn Zillion - Multiply fractions by whole numbers: using repeated addition
- Learn Zillion - Multiply fractions by whole numbers: using models

**4.NF.4C I can solve word problems involving multiplication of a fraction by a whole number.**

Videos:

**4.NF.5 - I can show a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100 in order to add the two fractions.**

(Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

**Worksheets, Online Games, Quizzes**

- Fractions Addition Like Denominators
- Fraction Addition Like Denominators - Print
- Fractions Addition Unlike Denominators
- Fractions Addition - Unlike Denominators - Print
- Fractions Addition Unlike & Simplest Form
- Fractions Subtraction Like Denominators
- Fractions Subtraction - Like Denominators - Print
- Fractions Subtraction Unlike Denominators
- Fractions Subtraction Unlike Denominators - Print
- Fractions Subtraction Unlike & Simplest Form
- Adding and Subtracting fractions with denominators of 10 and 100 (e.g. 7 / 10 – 21 / 100) - mrnussbaum.com

**Vocabulary**(online dictionary)- tenths
- hundredths
- sum
- addend

**Videos:**

**4.NF.6 - I can use decimals to show fractions with denominators of 10 and 100.**

(Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.)

**Worksheets, Online Games, Quizzes**

- Decimals: Convert fractions and mixed numbers to decimals (Fourth grade - T.6) - IXL.com
- Decimals: Convert decimals to fractions and mixed numbers (Fourth grade - T.7) - IXL.com
- Decimal to Fraction
- Fraction to Decimal
- Convert fractions to decimals
- Convert decimals to fractions
- Death to Decimals (game)

Videos:

Videos:

- Learn Zillion - Convert fractions into decimals to the tenths place
- Learn Zillion - Convert fractions into decimals to the hundredths place
- Learn Zillion - Add fractions with tenths and hundredths denominators
- Learn Zillion - Convert decimals to fractions to the tenths place using number lines
- Learn Zillion - Convert decimals to fractions to the hundredths place using visual aids
- Learn Zillion - Convert fractions to decimals to the tenths place using visual aids and division
- Learn Zillion - Convert fractions to decimals to the hundredths place using division
- Learn Zillion - Convert fractions into decimals to the tenths place
- Learn Zillion - Convert fractions into decimals to the hundredths place
- Learn Zillion - Add fractions with tenths and hundredths denominators
- Khan Academy Video - Converting fractions to decimals
- Khan Academy Video - Decimals and Fractions
- Khan Academy Video - Points on a number line

**4.NF.7 - I can compare two decimals to hundredths by reasoning about their size.**

Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

**Worksheets, Online Games, Quizzes**

- Money: Compare money amounts - IXL.com
- Decimals: Compare decimal numbers - IXL.com
- Decimals: Put decimal numbers in order - IXL.com
- Ordering Decimals 1
- Ordering Decimals 2
- Comparing Decimals
- Comparing Fractions, Decimals, Percents
- Comparing decimals using <, >, and = (74)
- Ordering Decimals to the: tenth | hundredth | tenths and hundredths | hundredths and higher

**Videos:**

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