6th Grade “Do Now’s” for 3rd Quarter Standard 6.EE.A2a 1.Which expression represents 5 times the sum of x and 8? A x + 8(5) B 5(x + 8) C 5(8x) D 5x + 8 2. Which represents the sum of 10 and x, decreased by 8? A (10 – x) – 8 B (10 + x) – 8 C (x + 8) – 10 D (x – 8) + 10 3. Which expression represents the sum of two times x and y squared? A 2xy2 B 2x – y2 C 2x + y2 D 2(x + y2) 4. Which expression represents the phrase “the difference of x and y decreased by 3”? A (x + y) + 3 B (x – y) + 3 C (x + y) – 3 D (x – y) – 3 5. Which expression is equivalent to a number, r, subtracted from 10? A 10r B 10 + r C 10 – r D r – 10 Standard 6.EE.A.2b (District score- 30.41%) CCSS.Math.Content.6.EE.A.2b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. Warm-up/ Do now questions 1. Describe the expression 2(8+7) as a product of two factors; view (8+7) as both a single entity and a sum of two terms. 2. What are the like terms in the expression 3 m^2 + 2m - 2 + 3m a. 3m^2 and 3m b. 3m^2 and 2 c. 2m and 3m d. 2m and 2 3. How many factors are in the expression 6 (x + y + 7)? a. 1 b. 2 c. 3 d. 4 4. 3 + d Using correct vocabulary, write this expression in words. Illustrate this expression using manipulatives or a picture. 5. 2 (8 + 7) Write this expression in another way using mathematical symbols. Illustrate this expression using manipulatives or a picture. Using correct vocabulary, write this expression in words. 6. What are the coefficients of the expression 9xy^2 - 2xy^3 + 5? a. 2, 3 b. 9, -2 c. 9xy^2, -2xy^3 d. 9xy^2, -2xy^3, 5 7. Translate “the product of a number and 5 increased by 10” into an expression using mathematical symbols. Represent this expression visually. Label the parts of the expression. (Terms, Exponents, Variables, Constant and Coefficient) 8. In the expression 4 (2x + 5) + 3y, which best describes (2x + 5)? a. the product of two factors b. the sum of two terms c. the quotient of two expressions d. the difference of two variables 9. Which best describes the expression (3x) (2y) (6 + 5)? a. sum of four variables b. quotient of two coefficients c. difference of three terms d. product of three factors 10. Using correct vocabulary write X - 4 in words. Represent this expression visually. Label the parts of the expression. (terms, exponents, variables, constant and coefficient) Standard 6. EE A. 3 Apply the properties of operations to generate equivalent expressions 1. Create equivalent expressions to: a) 4(20 + 4) b) ½ (8 – 2) c) 5(3c – 6) d) ¾(12p + 16) 2.Which of the following expressions are equivalent to the expression below? a) b) c) d) 3. Skylie has a rectangular garden divided into two smaller rectangular sections: a flower section and a vegetable section. The flower section and the vegetable section each measure 6.5 feet on the side facing east. On the side facing north, the flower section measures x feet and the vegetable section measures 3 feet. Which of the following expressions represents the area of Skylie's rectangular garden? a) 6.5(x + 3) square feet b) 13(x + 3) square feet c) (6.5x + 3) square feet d) (6.5x + 19.5) square feet e) (x + 9.5) square feet f) (13x + 39) square feet 4. You have six gummy worms and eleven sticks of gum. Your friend is going to double the amount of the candies because you helped her babysit her brother last Friday. Write an expression for this scenario. Simplify the expression to determine how many gummy worms and sticks of gum you will now have. 5. Lunden was collecting rocks for her science project. She found 3 examples of limestone, 4 of shale, and 1 example of sandstone on her nature hike. Lily found 3 times what Lunden found. Write an expression showing how many of each rock Lily found. 6. Tahjea had 16y sodas, Sharyah had 12 sodas and Tyler had 2y sodas. The girls put all of their sodas together on a table and then drank 12 sodas. How many sodas were left on the table. 7. Roberto was planning his birthday party. He estimated that each person at his party would eat 2 ½ hamburgers and 1/5 of a bag of chips. If he invites 12 friends to his party, how much of each will he need? 8. All 8 of the sixth-grade classes at SpongeBob Middle School have 9 boys in each class. In 5 of the classes there are x girls, and in 3 of the classes there are y girls. Write an expression that represents the number of sixth-grade students at SpongeBob Middle School. 9. Create an equivalent expression to: 7x + 3y + 4x - 2y _____________________________________________________________________ Standard 6. EE A. 4 Identify when two expressions are equivalent ( i.e, when the two expressions name the same number regardless of which value is substituted into them). 1. Simplifying Expressions http://www.youtube.com/watch?v=US95J1g6iY4 a. If you were standing behind this man placing this order, what would you suggest he do to make the ordering process more efficient? b. What are like terms? c. Identify the like terms in the expression below. (Use squares, circles and triangles to identify like terms) 2x+ y + 4x + 5 + y^2 d. Discuss with your partner the errors that were made in the problem below. 2. http://learnzillion.com/lessons/2455-apply-distributive-property-using-repeated-addition a. What does the factor outside of the parenthesis represent? b. Show what the factor outside the parenthesis represents using the example below. 3( 2 + 3) c. Correct the error in the following expression. 3( 2 + 3) 3*2 + 3 6+3 9 Standard 6.NS.C.7d 1. Dorien rides his bike along a road that runs north to west. From a starting point, 0 miles, he rides 3 miles north, then 5 miles south, and then 4 miles north. What is Dorien’s position from his starting point? A. 2 miles north B. 2 miles south C. 12 miles north D. 12 miles south 2. Which of the following is NOT true when computing the absolute value of a number? A. The absolute value of a number is the distance between zero and that number on the real number line. B. The absolute value of any number, positive or negative, is always positive. C. The absolute value of zero is always zero. D. The absolute value of any real number is the opposite of that number. 3.Starting at home, Carly traveled east for 9 miles. Then she traveled west for 4 miles. Which number line represents Carly’s trip? 4. Tanyiah had $100.00 in her bank account. She withdrew $60.00 from her account. Next, she deposited $30.00 in her account. Finally, she withdrew $15.00 from her account. How much money is in her account now? 5. Robinson’s hotel room rent is $80. His food bill is $30 and the taxi costs him $20. .His company deposits his salary of $100 into his bank account. What would be the remaining balance after paying his monthly expenses? Standard 6.EE.A.4 6 NS B 4 1. Which shows the distributive property to express 49 + 14 as a multiple of a sum of two whole numbers with no common factors? a- List all the factors of 49 b- List all the factors of 14 c- What are the common factors? d- What is the greatest common factor? e- Complete the distributive property using the GCF _____ ( _____+_____)= ______ 2. Which shows the distributive property to express 36 + 8 as a multiple of a sum of two whole numbers with no common factors? a- List all the factors of 36 b- List all the factors of 8 c- What are the common factors? d- What is the greatest common factor? e- Complete the distributive property using the GCF _____ ( _____+_____)= ______ 3. Which shows the distributive property to express 48 + 64 as a multiple of a sum of two whole numbers with no common factors? a- List all the factors of 48 b- List all the factors of 64 c- What are the common factors? d- What is the greatest common factor? e- Complete the distributive property using the GCF _____ ( _____+_____)= ______ 4. Which shows the distributive property to express 72 + 63 as a multiple of a sum of two whole numbers with no common factors? a- List all the factors of 72 b- List all the factors of 63 c- What are the common factors? d- What is the greatest common factor? e- Complete the distributive property using the GCF _____ ( _____+_____)= ______ 5. Which shows the distributive property to express 36 + 32 as a multiple of a sum of two whole numbers with no common factors? a- List all the factors of 36 bcde- List all the factors of 32 What are the common factors? What is the greatest common factor? Complete the distributive property using the GCF _____ ( _____+_____)= ______ 6. Which shows the use of the distributive property to express 20 + 24 as a multiple of a sum of two whole numbers with no common factors? a) 2(10+12) b) 2(10+6) c) 4(5+12) d) 4(5+6) 7.. Which shows the use of the distributive property to express 15+ 30 as a multiple of a sum of two whole numbers with no common factors? a) 3(5+10) b) 5(3+6) c) 3(5+6) d) 15(1+2) 8. Which shows the use of the distributive property to express 50 sum of two whole numbers with no common factors? a) 10(10+5) b) 50(2+1) c) 25(4+2) d) 15(2+1) 9. + 100 as a multiple of a Which shows the use of the distributive property to express 66+18 as a multiple of a sum of two whole numbers with no common factors? a) 2(33+9) b) 3(22+6) c) 6(11+3) d) 6(11+4) 10. Which shows the use of the distributive property to express 72 + 27 as a multiple of a sum of two whole numbers with no common factors? a) 3(8+3) b) 6(12+3) c) 9(8+3) d) 9(8+27) 6.NS.7d 1. Barry has a bank account with a balance of $50.00. Barry owes $32.00 to his credit card company and he owes $20.00 for a yearbook. What would Barry’s bank balance be, if both debits were paid? Explanation: Negative account balances signify debt. Debt is money that you owe or the amount of money that needs to be paid to achieve an even or zero balance. Barry has a bank account balance of $50. He has to pay $32.00 for his credit card and $20.00 for a yearbook So his total expenses = $32.00 + $20.00 = $52 He has a balance of $50 and he has to pay $52. So the balance of his account after paying all expenses = $50 - $52 = -$2 He has a negative account balance of -$ 2. 2. New York City is having a very cold winter. During the day, it is 0 degrees Fahrenheit. At midnight, it is -10 degrees Fahrenheit, and at 3 a.m. it is -18 degrees Fahrenheit. Write an inequality to compare Vancouver's nighttime temperatures. Explain the inequality in the context of the situation. Now, take the absolute value of each temperature and compare them. Explain what the absolute value means in the context of the situation. 3. Dave and Nick are friends from college. Since graduation, they have both gained several pounds, and now weigh exactly the same. At New Year's, they decide to start tracking their weight. Each week, they record their weight in a computer program, and it tells them where they are relative to their initial weight. After 8 weeks, Dave's computer reads "-6" and Nick's reads "8." Write an inequality to compare these numbers. Explain the inequality in the context of the situation. Now, take the absolute value of each number and compare them. Explain what the absolute value comparison means in the context of the problem. 4. The Nurse Problem - The new nurse on the fourth floor of the hospital had a really, really, busy, busy day. First it was the patient in the middle room of that floor, who wanted somebody to look at a red spot on her big toe, which was in a cast. Then the patient 3 rooms farther down at the east end of the hall rang and complained that his lunch hadn't been delivered. Sure enough, he was right! So the nurse had to go to the pantry, which was 5 rooms back to the west, to arrange for another lunch. 5. Robinson’s hotel room rent is $80. His food bill is $30 and the taxi costs him $20. His company deposits his salary of $100 into his bank account. What would be the balance remaining after paying his monthly expenses?