Vocabulary: Evidence of Learning (Assessment): Pre-Assessment: Fractions on the Number Line and Whole Number Equivalence Pre-Assessment
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1 Targeted Content Standard(s): 4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. 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. Student Friendly Learning Targets I can Add and subtract mixed numbers with like denominators. Solve word problems involving addition and subtraction of fractions with like denominators. Targeted Mathematical Practice(s): 1 Make sense of problems and persevere in solving them 2 Reason abstractly and quantitatively 3 Construct viable arguments and critique the reasoning of others 4 Model with mathematics 5 Use appropriate tools strategically 6 Attend to precision 7 Look for and make use of structure 8 Look for an express regularity in repeated reasoning Supporting Content Standard(s): (optional) 3.NF.3 Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Purpose of the Lesson: Develop and implement strategies for adding and subtracting fractions and mixed numbers with like denominators. Use these strategies to solve word problems involving addition and subtraction of fractions. Explanation of Rigor: (Fill in those that are appropriate.) Conceptual: Vocabulary: Numerator Denominator Equivalent Fraction Common Denominator Mixed Number Visual Fraction Model Procedural: Students add and subtract mixed numbers with like denominators. Application: Students solve word problems involving addition and subtraction of fractions. Evidence of Learning (): Pre-: Fractions on the Number Line and Whole Number Equivalence Pre- Formative (s): Summative : Fraction Addition and Subtraction, Fraction Festival
2 Self-: Fraction Addition and Subtraction (Self-) Lesson Segments: 1. Fractions on the Number Line and Whole Number Equivalence Pre- 2. Adding and Subtracting Mixed Numbers and Fractions Number Line 3. Adding Whole Numbers, Mixed Numbers, and Fractions- Substitute Equivalent Representations of Whole Numbers 4. Subtracting Whole Numbers, Mixed Numbers, and Fractions- Substitute Equivalent Representations of Whole Numbers 5. Solve Word Problems involving Addition and Subtraction of Mixed Numbers and Fractions Problem Solving Structure Diagrams: Part-Part-Whole, Number Line, Comparison Bars/Number Lines 6. Summative
3 Lesson Procedures: Segment 1 30 minutes Assess student understanding of the related 3 rd grade fraction standards (3.NF.3). Fractions on the Number Line and Whole Number Equivalence Pre- Practice (Homework): 1. Give the Fractions on the Number Line and Whole Number Equivalence Pre-
4 Segment Minutes Adding and subtracting mixed numbers and fractions by drawing leaps on a number line and by partitioning a blank number line and drawing the leaps MP4 Model with mathematics Students use number lines to add and subtract mixed numbers and fractions. MP5 Use appropriate tools strategically Students partition number lines and draw leaps to represent addition and subtraction of mixed numbers and fractions. Practice (Homework): 1.
5 Segment 3 60 Minutes Adding whole numbers, mixed numbers and fractions by substituting equivalent representations of whole numbers MP2 Reason abstractly and quantitatively. Students will substitute equivalent representations of whole numbers to add whole numbers, mixed numbers, and fractions. MP7 Look for and make use of structure. Students will use the structure of whole number and fraction equivalency to add whole numbers, mixed numbers, and fractions. Practice (Homework): 1.
6 Segment Minutes Subtracting whole numbers, mixed numbers and fractions by substituting equivalent representations of whole numbers MP2 Reason abstractly and quantitatively. Students will substitute equivalent representations of whole numbers to subtract whole numbers, mixed numbers, and fractions. MP7 Look for and make use of structure. Students will use the structure of whole number and fraction equivalency to subtract whole numbers, mixed numbers, and fractions. Students are not able to break apart mixed numbers (regroup) in order to subtract. 1. Practice (Homework):
7 Segment Minutes Fraction Word Problems Mixed Numbers Word Problems Solving 1 step word problems involving whole numbers, mixed numbers and fractions using problem solving structure diagrams (part-partwhole, number line, comparison bars/number line) MP1 Make sense of problems and persevere in solving them. MP7 Look for and make use of structure. Students will use problem solving structures to solve word problems involving addition and subtraction of whole numbers, mixed numbers, and fractions. Practice (Homework): 1.
8 Segment 6 60 Minutes Assess students understanding of addition and subtraction of fractions and mixed numbers with like denominators. Fraction Addition and Subtraction & Fraction Festival Fraction Addition and Subtraction Self- Practice (Homework): 1. Give Fraction Addition and Subtraction & Fraction Festival s. When assessment has been completed and graded, have students complete the Fraction Addition and Subtraction Self-
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