Evaluate the following expression: (7 7) (7 7) 2 = (49) 2 = = = 105 G E. Evaluate the following expression: 75

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1 AUSD Grade 5 Evaluate the following expression: (7 7) (7 7) 2 = (49) 2 = = = 05 G E M D A S 5.OA. Evaluate the following expression: 75 + (3+ 2) (0 3) 3 Gael says that (4 2) (6 + 4) is 20. Ann says that (4 2) (6 + 4) is 2. Who is correct? 5.OA. 5.OA. 2 Write the numerical expression. Describe the relationship between both values the quotient of forty-five and the difference of twenty-four and nine the quotient of forty-five and the difference of twenty-four and nine = 45 ( 24 9) The values in 45 (24 9) relate to each other in that 45 will be equally distributed among the value of (24 9). 5.OA.2 2 You Try Write the numerical expression. twice the sum of two and three 2 You Try Use words to describe the expression 4 ( 6 + 8) and how the two factors are related. 5.OA.2 5.OA.2 Page of 4 MCC@WCCUSD (AUSD) 09/30/3

2 3 Determine the ordered pairs for the baseball field ( )and the soccer field( ). If Casey has to go from baseball to soccer practice, how far must he travel? y The baseball field is located at (7, 8) and the soccer field is located at (3, 8). They both share the same y-coordinate so in order to find the distance between the two locations just find the difference in the x-coordinates. 7 3 = 4 units The distance from baseball to soccer practice is 4 units. x 5.G. & 5.G.2 3 Which ordered pair would come next in the sequence? (, 3) ; (2, 6) ;? Plot the ordered pairs on the coordinate grid below. 3 Plot the following locations on the coordinate grid. y S: school (8, 9) H: home (0, 5) P: post office (8, 5) y x x What is the distance (in units) from school to the home if you must stop at the post office on the way? Explain. 5.G. & 5.G.2 5.G. & 5.G.2 Page 2 of 4 MCC@WCCUSD (AUSD) 9/30/3

3 4 Complete the Place Value Chart below. by 0 (larger) by 0 (smaller) PLACE VALUE CHART Thousands Hundreds ONES Tenths Hundredths Thousandths, a) 0.00, b) $, $00.00 $.00 c) $0.0 $0.00 a) 0.0 This is in the hundredths place, 2 place values to the right of ones place. That means must be divided by 2 tens or 0 0 = 00. b) 000 The thousandths place is 3 place values to the right of, so must be divided by 3 tens = 000 c) $0.0 This blank is one spot to the left of the ones place value below is 0, and of a dollar is one dime or $ NBT. 4 Match the value in the list below to its equivalent in the box. A) 200 B) 2. C) 2 00 D) $ What is Explain your thinking. written in standard form? I II. $2.00 III IV NBT. 5.NBT. Page 3 of 4 MCC@WCCUSD (AUSD) 9/30/3

4 5 Express the number in the different representations given. A) Write forty-two thousand, thirty-five in standard form, expanded form, and exponential form. Standard: 42,035 Expanded: 40, , Exponential: ( ) + ( ) ( ) + ( 5 ) B) Write in word form, expanded form, and expanded (powers of ten) form. Word: two hundred eight and three hundred five thousandths Expanded: Expanded (powers of ten): (2 00) + (8 ) NBT.2/5.NBT.3A 5 Write 3,52.48 in at least 3 ways. 5 How is exponential form related to the expanded (powers of ten) form? 5.NBT.2/5.NBT.3A 5.NBT.2/5.NBT.3A Page 4 of 4 MCC@WCCUSD (AUSD) 9/30/3

5 6 Below is a problem from Megan s homework. Did she complete the inequalities correctly? How do you know? Megan s Homework 7 > 9 but 0.7 > < 38 but 0.73 < > < 0.9 ONES Tenths Hundredths Thousandths No, Megan was only partly correct. When comparing whole numbers she had the correct answers, but she made mistakes with the decimals. 5.NBT.3B 6 Complete the number sentences listed below using <, =, >. 6 Describe a method for comparing decimal numbers. Give an example. 0.7 < = > < = > < = > NBT.3B 5.NBT.3B Page 5 of 4 MCC@WCCUSD (AUSD) 9/30/3

6 Round to the nearest hundredths round up rounded to the nearest hundredth is NBT.4 7 A number changed to 3.25 after it was rounded. Mark all of the numbers below that 3.25 could have been originally. 7 Suppose we round to the nearest whole number. Why is the digit in the tenths place important? A B C D NBT.4 5.NBT.4 Page 6 of 4 MCC@WCCUSD (AUSD) 9/30/3

7 8 Multiply three different ways: Generic Rectangle , Partial Products 43 x = 60 x 40 = 40 x 3 = 60 x 3 = 7 x 3 Standard Algorithm x NBT.5 8 Multiply 3 ways: There are usually 20 school days in a month. Rigo has gymnastics practice every day after school for 75 minutes. How many minutes does he practice every month? 5.NBT.5 5.NBT.5 Page 7 of 4 MCC@WCCUSD (AUSD) 09/30/3

8 9 There were,426 sheets of paper in Ms. Ruben s office. She needed to divide them equally between her 46 employees. How many sheets of paper did each employee receive? Partial Quotients = = = = Stacking Method Standard Algorithm Each employee would receive 3 sheets of paper if Ms. Ruben distributed them equally. 5.NBT.6 9 Divide two ways: A farmer collected,83 eggs. He will put them in cartons that will hold a dozen (2) eggs each. How many cartons can he fill? Explain your answer. 5.NBT.6 5.NBT.6 Page 8 of 4 MCC@WCCUSD (AUSD) 09/30/3

9 0 Callie read on the internet that the cost of driving a car mile was about She lives 0.6 miles from work. If the internet is correct, how much would it cost to drive to and from work for a week? distance: cost: 6miles 57.5 = = 6 miles per week 57.5 x or $3.38 It will cost Callie $3.38 to drive to and from work for a week. 5.NBT.7 0 Find the sum three ways There are four equations below. One is incorrect. Find it and fix it. A = B = C = D = NBT.7 5.NBT.7 End of Study Guide Page 9 of 4 MCC@WCCUSD (AUSD) 09/30/3

10 You Try Solutions: These are the correct answers with possible student strategies and explanations. Student strategies and explanations may vary; however, strategies should demonstrate a thorough understanding of mathematical concepts and explanations should clearly communicate student thinking. Evaluate the following expression: (3+ 2) (0 3) = 75 + (5) (7) 3 = = = 60 G E M D A Gael says that (4 2) (6 + 4) is 20. Ann says that (4 2) (6 + 4) is 2. Who is correct? Gael s Work Ann s Work (4 2) (6 + 4 S = (2) (0) = 20 (4 2) (6 + 4) = 4 (2) + 4 = 4 (2) + 4 = 2 Gael is correct because he followed the order of operations and evaluated the groups first. I think Ann multiplied first and then found a zero pair. This gives her the incorrect answer. 2 Write the numerical expression. twice the sum of two and three 2 Use words to describe the expression 4 ( 6 + 8) and how the two factors are related. = 2 ( 2 + 3) The two factors are 4 and (6+8) they are related in that you have the sum of 4 groups of (6+8). You could also say that you have the sum of 4 fours because (6+8) is 4. Page 0 of 4 MCC@WCCUSD (AUSD) 09/30/3

11 3 Which ordered pair would come next in the sequence? (,3) ; (2,6) ;? Plot the ordered pairs on the coordinate grid. y x 3 Plot the following locations on the coordinate grid. S: school (8,9) H: home (0,5) P: post office (8,5) What is the distance (in units) from school to home if you must stop at the post office on the way? Explain y x The pattern for the x-coordinate is + and the pattern for the y-coordinate is +3. The next ordered pair in the sequence would be (3, 9). The distance from school to the post office is 4 units on the y-axis. The distance from the post office to home is 8 units on the x-axis. The total distance would be 2 units because you would need to combine the two shorter distances. 4 Match the value in the list below to its equivalent in the box. A) 200 I B) 2. C) 2 00 D) $ What is Explain your thinking. written in standard form? = 0.07 II. $2.00 III IV is 7 00 but with a decomposed denominator. Both fractions are two place values to the right of the decimal and are in the hundredths place. The fractions are also equivalent to Page of 4 MCC@WCCUSD (AUSD) 09/30/3

12 5 Write 3,52.48 in at least 3 ways. Word Form: Three thousand, five hundred twenty-one and forty-eight hundredths 5 How is exponential form related to the expanded (powers of ten) form? Expanded Notation: 3, Expanded Form (powers of ten): ( 3 000) + ( 5 00) + ( 2 0) + ( ) Exponential form is the expanded form (powers of ten) represented with exponents. For example 00 is 0 2 so (3 x 00) is (3 x 0 2 ). 6 Complete the number sentences listed below using <, =, >. 6 Describe a method for comparing decimal numbers. Give an example. 0.7 < = > < = > < = > 0.57 One method is a number line. Create an open number line. Plot both decimals and then determine which is larger < A number changed to 3.25 after it was rounded. Mark all of the numbers below that 3.25 could have been originally. 7 Suppose we round to the nearest whole number. Why is the digit in the tenths place important? A B C D The digit in the tenths place is important because that digit tells how many parts of a whole you have. From that digit you can compute how much you need to get to the next whole number. If it is 0.5 or greater than you change the digit in the ones place to the next digit in ascending order. Because the digit is less than 0.5 the digit in the ones place remains the same. Page of 4 MCC@WCCUSD (AUSD) 09/30/3

13 8 Multiply 3 ways: 9 28 Generic Rectangle , Standard Algorithm 9 x Partial Products 9 x = 90 x = 90 x x + 8 = 8 x There are usually 20 school days in a month. Rigo has gymnastics practice every day after school for 75 minutes. How many minutes does he practice every month? 75 x = 20 x = 20 x Rigo practices gymnastics,500 minutes each month. 9 Divide two ways: Partial Quotients Standard Algorithm = = = A farmer collected,83 eggs. He will put them in cartons that will hold a dozen (2) eggs each. How many cartons can he fill? Explain your answer He will fill 98 cartons. He will have 7 eggs remaining and that is not enough to fill another container and you cannot have a partial container. Page 3 of 4 MCC@WCCUSD (AUSD) 09/30/3

14 0 Find the sum three ways Number Line = There are four equations below. One is incorrect. Find it and fix it. A B C = = = D = Standard Algorithm Decomposition = = = = = = = = = = = = Page 4 of 4 MCC@WCCUSD (AUSD) 09/30/3