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Math: Unit 7
|UNIT TITLE: Add and Subtract Fractions |Grade: 4 |
|Domain: |Suggested Pacing |
|Number and Operations- Fractions (CC.4.NF) | |
| |15 days |
| |02/09/2015 – 03/06/2015 |
|Stage 1 – Desired Result |
|Established Goals/Unit Outcome |
|Highest Level of Understanding: |
|Write fractions greater than 1 as mixed numbers and write mixed numbers as fractions greater than 1\ |
| |
|Average Level of Understanding: |
|Use a variety of strategies and models to add and subtract fractions and mixed numbers |
| |
|Most Essential Level of Understanding: |
|Decompose a fraction by writing it as a sum |
|Common Core Learning Standards: |
| |
|4.NF.3 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. |
|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. |
|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. |
| |
|Mathematical Practices: |
|MP.2 Reason abstractly and quantitatively |
|MP.4 Model with Mathematics |
|MP.5 Use appropriate tools strategically |
| |
|Essential Questions: |
|How do you add or subtract fractions that have the same denominator? (OVERALL) |
|When can you add or subtract parts of a whole? (lesson 7.1, CC.4.NF.3a) |
|How can you write a fraction as a sum of fractions with the same denominator? (lesson 7.2, CC.4.NF.3b) |
|How can you add fractions with like denominators using models? (lesson 7.3, CC.4.NF.3d) |
|How can you subtract fractions with like denominators using models? (lesson 7.4, CC.4.NF.3d) |
|How can you add and subtract fractions with like denominators? (lesson 7.5, CC.4.NF.3d) |
|How can you rename mixed numbers as fractions greater than 1 and rename fractions greater than 1 as mixed numbers? (lesson 7.6, CC.4.NF.3b) |
|How can you add and subtract mixed numbers with like denominators? (lesson 7.7, CC.4.NF.3c) |
|How can you rename a mixed number to help you subtract? (lesson 7.8, CC.4.NF.3c) |
|How can you add fractions with like denominators using the properties of addition? (lesson 7.9, CC.4.NF.3c) |
|How can you use the strategy Act it Out to solve multistep problems with fractions? (lesson 7.4, CC.4.NF.3d) |
|Content: |Skills: |
| | |
|How to use fraction tiles to model the sum of fractions. |Use models to show sums like 3/6 + 1/6. |
| | |
|How to add and subtract like fractions. |Solve subtraction problems like 7/12 + 5/12. |
| | |
| | |
|How to add and subtract mixed numbers. |Solve subtraction problems like 3 2/5 – 1 1/5. |
| | |
| | |
|How to rename a mixed number. |Rename a mixed number as an improper fraction. |
| | |
| | |
|Terms / Vocabulary: |
|Fraction (lesson 7.1) |
|Unit fraction |
|Denominator |
|Numerator |
|Mixed number |
|Simplest form |
|Associative property of addition |
|Commutative property of addition |
| |
|Stage 2 – Assessment Evidence |
|Performance Task: |Other Evidence: |
| | |
| |Diagnostic: Show What You Know pg. 265-266 |
| | |
| |Formative: Mid-Chapter Checklist pg. 287-288 |
| | |
| |Summative: Review/Test pg. 309-312 |
|Stage 3 – Learning Plan |
|Standard |
|Grab-and-Go Differentiated Center Kits |
|Literacy Connections: Readers |Games: |
|Sleeping Half the Day Away |Fraction Action |
| |Fraction Concentration |
| | |
| |Activities: |
| |Card 6 |
| |Ruler Challenge |
| |Fraction Bingo |
| | |
| |Card 8 |
| |Fantastic Fractions |
| |Pencil Me In |
|Go Math Intervention Activities (ELLs, RTI, and SWDs): |
|ELLs |RTI/SWDs |
|Strategy: |Lesson 7.1 |
|Describe (lesson 7.1, page 267B) |Tier 1: Kinesthetic/Visual (Whole Class/Small Group) |
|Strategy: |Pg. 267B |
|Creative Grouping (lesson 7.2, page 271B) |Tier 2: Kinesthetic/Visual (Small Group) |
|Strategy: |Pg. 267B |
|Model Language (lesson 7.3, page 275B) | |
|Strategy: |Lesson 7.2 |
|Restate (lesson 7.4, page 279B; lesson 7.9, page 301B) |Tier 1: Kinesthetic/Visual (Whole Class/Small Group) |
|Strategy: |Pg. 271B |
|Define (lesson 7.6, page 289B) |Tier 2: Kinesthetic/Visual (Small Group) |
|Strategy: |Pg. 271B |
|Draw (lesson 7.5, page 283B; lesson 7.8, page 297B) | |
|Strategy |Lesson 7.3 |
|Identify Relationships (lesson 7.7, page 293B) |Tier 1: Kinesthetic/Visual (Whole Class/Small Group) |
| |Pg. 275B |
| |Tier 2: Kinesthetic/Visual (Small Group) |
| |Pg. 275B |
|SWD’s | |
|Additional Support Strategies: |Lesson 7.4 |
| |Tier 1: Kinesthetic/Visual (Whole Class/Small Group) |
|Adding and Subtracting Fractions: |Pg. 279B |
|Cut pieces of paper into equal numbers and have students add and subtract fractions. |Tier 2: Verbal/Linguistic (Small Group) |
|Develop a reference sheet for fractions and decimals for the student to keep at his/her desk. |Pg. 279B |
|For math problems involving fractions with unlike denominators, have the student use a tangible object such | |
|as a ruler to help solve the problem. |Lesson 7.5 |
|Have students solve fraction problems using real life measurement such as ounces, inches, pounds, etc to |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |
|determine weight, length, volume, etc. |Pg. 283B |
|Allow students to use fraction tiles to solve word problems. |Tier 2: Visual/Kinesthetic (Small Group) |
|When writing equivalent fractions, have students make 2 index cards, each with the same factor they chose for|Pg. 283B |
|making the denominator into the common denominator, and have them position their cards next to the numerator | |
|and denominator of the original fraction to help them multiply. |Lesson 7.6 |
| |Tier 1: Kinesthetic/Visual (Whole Class/Small Group) |
| |Pg. 289B |
| |Tier 2: Kinesthetic/Visual (Small Group) |
| |Pg. 289B |
| | |
| |Lesson 7.7 |
| |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |
| |Pg. 293B |
| |Tier 2: Visual/Kinesthetic (Small Group) |
| |Pg. 293B |
| | |
| |Lesson 7.8 |
| |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |
| |Pg. 297B |
| |Tier 2: Visual/Kinesthetic (Small Group) |
| |Pg. 297B |
| | |
| |Lesson 7.9 |
| |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |
| |Pg. 301B |
| |Tier 2: Visual/Kinesthetic (Small Group) |
| |Pg. 301B |
| | |
| |Lesson 7.10 |
| |Tier 1: Visual/Kinesthetic (Whole Class/Small Group) |
| |Pg. 305B |
| |Tier 2: Visual/Kinesthetic (Small Group) |
| |Pg. 305B |
| | |
| |Advanced |
| |For Advanced Students: TE, pg. 265F |
| |Enrich activity |
| |Enrich book |
| |Extend the project |
| |ELL activity |
| | |
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Materials:
• MathBoard
• Fraction circles
• Counting tape
• Colored pencils
lesson 7.2
lesson 7.4
lesson 7.9
Games/Activities Key:
• Computation and Mental Math
• Geometry and Measurement
• Challenge
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