Livingston County Schools 4th Grade Unit 2 Multiplication and Division Math Unit Overview Students apply their understanding of mathematical models for multiplication (equal sized groups, arrays, area models) and division. Students form a relationship of division to multiplication. Students develop, discuss and use efficient accurate and generalize methods to compute products of multi-digit whole numbers and procedures to find quotients involving multi-digit dividends. Length of unit: ___7 weeks___ KY Core Academic Standard 4.OA.1 Interpret a multiplication equation as a comparison, e.g. , interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations Learning Target I can use multiplication strategies K R X S P Critical Vocabulary Fact family I can interpret a multiplication equation as a comparison (e.g. 18 = 3 times as many as 6. X I can represent verbal statements of multiplicative comparisons as X Texts/Resources/Activities edHelper U-tube Discovery Education Flowcabulary www.superteacher.com Study Island Brainpop Teachers Domain Coach Crosswalk Lesson 3 multiplication equations 4.OA.2. Multiply or divide to I can multiply or divide to solve solve word problems word problems. involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison I can describe multiplicative comparison. I can describe additive comparison I can determine appropriate operation and solve word problems involving multiplicative comparison. I can determine and use a variety of representations to model a problem involving multiplicative comparison. I can distinguish between multiplicative comparison and additive comparison (repeated addition). 4.OA.3 Solve multistep I can divide whole numbers word problems posed with including division with whole numbers and having remainders. whole-number answers using the four operations, including problems in which remainders must be X Coach Crosswalk Lesson 3 X X X X X X Quotient Divisor Dividend Remainder Coach Crosswalk Lessons 3, 4, 6, 7, 8, 9, 12, 13, 15, 19 KCCT Coach Lesson 12 Ladders to Success Level D Lesson 2 Math Connects Lessons interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 4.OA.4 Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine 8-1, 8-2, 8-5, 8-8 I can represent multi-step word problems using equations with a letter standing for the unknown quantity. I can interpret multistep word problems (including problems in which remainders must be interpreted) and determine the appropriate operation(s) to solve. I can assess the reasonableness of an answer in solving a multistep word problem using mental math and estimation strategies (including rounding). I can define prime and composite numbers. X X X X Prime # Composite # Factor Coach Crosswalk Lesson 5 whether a given whole number in the range 1–100 is prime or composite. 4.OA.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way. I can determine strategies to determine whether a whole number is prime or composite. I can identify all factor pairs for any given number 1-100. X I can recognize that a whole number is a multiple of each of its factors. I can determine if a given whole number (1-100) is a multiple of a given one-digit number. I can identify a number or shape pattern. X I can generate a number or shape pattern that follows a given rule. Factor X Multiple X X X Factor Product Math Connects Lesson 4-9 Hundreds Board Activity 4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the I can analyze a pattern to determine features not apparent in the rule (always odd or even, alternates between odd and even, etc.) I can multiply a whole number of up to four digits by a one-digit whole number. I can multiply two two-digit numbers. I can use strategies based on place value and the properties of operations to multiply whole numbers. I can illustrate and explain calculations by using written equations, rectangular arrays, and/or area models I can find whole number quotients and remainders with up to four-digit dividends and onedigit divisors. X X Equation Rectangular array Area Model X Coach Crosswalk Lessons 4, 5, 6, 10 Math Connects Math Connects Lesson 64, 7-4 Math Connects Lesson 6-1 X X X Quotient Remainder Coach Crosswalk Lesson 8, 9, 10 Math Connects 8-1, 8-9, 8-7 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. 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. I can use the strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. I can illustrate and explain the calculation by using written equations, rectangular arrays, and/or area models. I can determine that the formula for the perimeter of a rectangle is 2L + 2W or L+L+W+W. I can determine that the formula for the area of a rectangle is L x W. I can apply the formula for perimeter of a rectangle to solve real world and mathematical X Math Connects Lessons 76, 6-5, 8-6 X X Perimeter X X Coach Crosswalk Lesson 33, 34 KCCT Coach Lesson 18, 19 Ladders to Success Level E Lesson 7 Ladders to Success Level D Lesson 6 problems. I can apply the formula for area of a rectangle to solve real world and mathematical problems. I can solve area and perimeter problems in which there is an unknown factor (n). Spiraled Standards: 4.OA.1, 4.OA.2, 4.NF.4, 4.MD.2 Common Assessments Developed (Proposed Assessment Dates): X Area Coach Crosswalk Lesson 34 X HOT Questions: 4.OA.3 The fourth grade class is going to Farm Safety Day. There are 246 students going and a bus holds 75 students. How many buses will they need to get all students to Farm Safety Day? 4.OA.4 Look at the following factor pairs for the number 48 determine if all the factors are correct. Explain why or why not. (1,48) (2,24) (3,14) (4,12) (6,8) 4.NBT.5 Demonstrate how to solve the following 7,329 X 9= using arrays and area models. , 4.NBT.6 Analyze 7,896 ÷ 8 = 976. Is the answer correct if not explain? 4.NF.1 Demonstrate how ½ and 2/4 are equivalent fractions using visual models. 4.NF.2 Describe how to compare 2/4 and 5/8 using comparison symbols. 4.MD.3 Create a model of your classroom with an area of 63 and perimeter of 32. What is the length and width of the room?