Fractions | Compare, Equivalent, Add & Subtract, Mixed Numbers & Improper

Help your students to develop a conceptual understanding of fractions with this 7 week fraction unit! Students will further their understanding of fractions, as well as comparing fractions, generate equivalent fractions, add and subtract fractions, multiply fractions by whole numbers, as well as convert mixed numbers to improper fractions.

All detailed lesson plans are written in an easy to follow format. The lessons are written to give students a solid foundation of the concept of fractions through engaging and hands-on lessons. In this unit you will find performance tasks to conceptually teach new skills, as well as optional math center activities and fraction games for review.

What's Included?

• Unit at a Glance
• Lesson Plans that include performance tasks
• 35 Skill Building Worksheets
• Answer Keys

Lessons Included

• Lesson 1-Equal Parts
• Lesson 2-Play Dough Fractions
• Lesson 3-Parts and Wholes
• Lesson 4-Understanding Number Lines
• Lesson 5-Fraction Size
• Lesson 6-Fraction Pizza
• Lesson 7-More or Less Than One
• Lesson 8-Fractions Greater Than One
• Lesson 9-Mixed Number Names
• Lesson 10-Number Line Road
• Lesson 11-Finding Fraction Equivalencies
• Lesson 12-Missing Numbers
• Lesson 13-3 Partitioning Squares
• Lesson 14-Fraction Problem Solving
• Lesson 15-Pattern Block Fractions
• Lesson 16-How to Compare-Fraction Line Up
• Lesson 17-Comparing Fractions
• Lesson 18-Problem Solving With Fractions
• Lesson 19-Rolling Fractions
• Lesson 20-Fraction Skittles
• Lesson 21-Adding With Cuisenaire Rods
• Lesson 22-Make a One
• Lesson 23-Get to the Whole
• Lesson 24-Subtracting With Cuisenaire Rods
• Lesson 25-Fraction Brownies
• Lesson 26-Fraction Games
• Lesson 27-Fraction Quilts
• Lesson 28-Adding & Subtracting Problem Solving
• Lesson 29-Pizza Fractions
• Lesson 30-Multiplying With Cuisenaire Rods

Check out these other 4th Grade Math Units!

• Unit 1 Place Value and Rounding Unit
• Unit 2 Addition and Subtraction Unit
• Unit 3 Multiplication Unit
• Unit 4 Division Unit
• Unit 5 Fraction Unit
• Unit 6 Decimal Unit
• Unit 7 Geometry Unit
• Unit 8 Measurement Unit

Standards Taught:

• 4.NF.1. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × 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.
• 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 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
• 4.NF.3 3. Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
• a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
• b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by 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 = 8/8 + 8/8 + 1/8.
• c. 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.
• d. 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.
• 4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
• a. 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 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
• b. 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 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
• c. 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. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?