Math

Title: CCSS Gaps                     Subject(s): Math                                     Grade(s): 4

Key Learning(s): Students will divide larger numbers. Add, subtract and multiply fractions and mixed numbers.  Unit Essential Question(s):  Why is it important to know how to divide larger numbers? How can you apply your knowledge of adding, subtracting and multiplying fractions and mixed numbers to real life situations? Concept: MACC.4.NBT.2.6- Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models Concept:  MACC.4.NF.2.3-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. Concept: MACC.4.NF.2.4 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. Lesson Focus Questions: What steps do you follow when dividing larger numbers? Lesson Focus Questions: How can your knowledge of equivalent fractions and operations help you to solve problems that involve fractions? Lesson Focus Questions: How can you use models and your knowledge of (multiplication, addition, and division)properties to help you multiply a fraction by a whole? Vocabulary:   whole number quotients, remainders, dividends, divisors, properties, operations, multiplication, rectangular arrays, area models Vocabulary:  Sum, equivalent fraction, mixed number, decompose, denominator Vocabulary: Identity property, inverse, equation, multiple Concept:  MACC.4..MD.2.4-Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. Lesson Focus Questions: How do you use a line plot? Vocabulary:  Data, line plot, length, fractions