Level F Grade 6. Level G Grade 7. Level H Grade 8

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1 Level F Grade 6 Performance Tasks Comprehensive Domain Review Quik-Piks SM Comprehensive Pre-Post Assessment Pre-Post Assessment (Placement) 6 Level G Grade Performance Tasks Comprehensive Domain Review 8 Quik-Piks SM 9 Comprehensive Pre-Post Assessment Pre-Post Assessment (Placement) Level H Grade 8 Performance Tasks Comprehensive Domain Review Quik-Piks SM Comprehensive Pre-Post Assessment Pre-Post Assessment (Placement) 8 preview Book Key Components Math Build-Up SM Grade

2 LEVEL F: CRS COMPREHENSIVE PERFORMANCE TASKS Mr. Gorman wants to place a border around a square surface. The square surface has an edge that is s feet long. He decided to write an expression to determine the number of tiles he will need in order to create the border. The border of the square surface will be made of tiles that are -foot by -foot. In order to illustrate the problem he made the drawing below. Square Surface s s Tile ft ft Note: Not drawn to scale. Note: Not drawn to scale. A. Write an expression that shows the number of tiles Mr. Gorman will need to create the border. B. How many tiles will he need to create a border for a square surface that measures feet by feet?

3 LEVEL F Geometry # Part A Using the appropriate reference sheet, calculate the total surface area of the pyramids below. Note: Figures not drawn to scale. Figure Surface Area ) m m 8 m 8 m ) m m 0 m 0 m Part B Using the appropriate reference sheet, calculate the total surface area of the prisms in the table below. Note: Figures not drawn to scale. Figure Surface Area ) ft 8 ft ft ) ft ft 6 ft

4 LEVEL F: QUIK-PIK # 8. Complete the table. Fraction a) 0 b) c) d) Decimal 0. Percent %. Simplify each pair of fractions before dividing them. a) b) 0. Lori is studying a solid substance in a lab. The starting temperature of the substance was 0 F. Every second the temperature of the solid substance rises one-tenth of a degree. What was the temperature of the substance after 00 seconds? Answer:. Calculate the area, in square feet, of the figure below that is composed of a triangle and a square. 8 feet Note: Figure not drawn to scale. 9 feet. The histogram shows the amount of dollars that students brought on a field trip. What percent of the students brought between 0 and 0 dollars? Round to the nearest tenth. Field Trip Dollars Frequency Dollars ($)

5 LEVEL F: QUIK-PIK # 0. Your teacher gives you some cards to place in four different containers. He gives you hints about the number of cards that go in each container so that you can put the correct number of cards inside. A) Container # has cards. Container # has % of the cards. What is the total number of cards in all four boxes? Answer: B) Container # gets of the cards. Lisa says that she can use a ratio table to figure 0 out how many cards are in container #. Kendrick says that it is not possible to find the amount of cards in container #. Who is correct? Answer: If you think Lisa is correct, show the ratio table to figure out how many cards are in container #. Write your answer in a complete sentence below. If Kendrick is correct, explain why. Then show another way to find out how many cards are in container # and write your answer in a complete sentence below. Answer:

6 LEVEL F: CRS COMPREHENSIVE PRE/POST ASSESSMENT 9 The top of a table in the back of Ms. Wynwood s room is shaped like a trapezoid, as shown below. feet feet feet feet 0 feet Note: Figure not drawn to scale. What is the area of the top of the table? 8 square feet square feet 0 square feet 8 square feet NH 0 Rachel has a box. The dimensions of the box are given below. The key shows the volume of a cube whose edges measure of an inch. What is the volume of the box, in cubic inches? in. in. in. Note: Figure not drawn to scale. in. Key = in in. 88 in. 88 in. NH 8 in.

7 LEVEL F: PRE/POST ASSESSMENT (CRS-Placement) 0) Ms. Talladega had 6 pounds of sugar. She divided it in -pound portions. How many portions did she make? 6 ) Jared will spend a total of hours working out. He switches exercises -hour at a time. How many times will he switch exercises? 0 0 ) Tony s bank account has a balance of 0 dollars. Which of the following is less than 0 dollars? $90 $0 $8 $6 $8

8 LEVEL G: CRS COMPREHENSIVE PERFORMANCE TASKS The monthly cost of Andy s cable plan is plotted on the grid below. His friend Barry selected a plan that charges $.0 per movie, with no monthly fee, since he only watches movies. Cable Plan 0 Cost in Do ollars Number of Movies A. Write an equation to represent the monthly cost for Barry s plan for any number of movies. B. Graph the monthly cost of Barry s plan on the grid above. C. When one of the boys doubles the number of movies he watches, the cost doubles as well. Who is it? Explain how you know.

9 LEVEL G Geometry # Calculate the circumference and area of the circles below. Note:. or. Formula: C = r, where C is the circumference and r is the radius. Formula: A = r, where A is the area and r is the radius. Ex. Circle Circumference Area C = (.)(.). feet r =. feet C = 9. feet A= (.)(.) A=.0 feet ) feet r = feet ) feet r = ) 0 feet r = ) meters r = ) meters r =

10 LEVEL G: QUIK-PIK #. The graph shows the number of feet a remote Remote Control Car Speed control car travels every second. y How many feet does the remote control car travel per second? foot feet feet feet 6 feet feet feet 6 feet Feet Seconds. Which of the expressions below represent the computations indicated by the graph? x x. Solve the following equation for x: 8. Answer:. LMN is similar to OPQ. What is the measure of side OP? M m P Answer: L N O m m Note: Figures not drawn to scale. Q. A survey determined that % of children have asthma in the United States. There are 00 children at a school. What is a good estimate for the number of children at the school who have asthma? 0 0

11 LEVEL G: QUIK-PIK #. An octahedron is a geometric solid with eight faces. All of the faces are equilateral triangles. Vicky has created a game using two octahedrons with numbers on the faces. Below are the eight faces of each of the two numbered octahedrons. Octahedron # Octahedron # A) How many pairs of numbers can Vicky roll with the two octahedrons? Answer: B) If the sum of the numbers on the octahedrons is greater than, the person rolling the octahedrons wins the toss. What is the probability that the sum of the numbers on the two octahedrons will be greater than? Show your work. Answer:

12 LEVEL G: CRS COMPREHENSIVE PRE/POST ASSESSMENT Lines j and k are parallel. What is the measure of a? 0 a j k Lines l and m are parallel. What is the measure of x? x y y y l m 0 Jenny sketched a cube. The length of an edge was cm. What was the volume of the cube, in cubic centimeters? 0 cm cm cm cm 00 cm

13 LEVEL G: PRE/POST ASSESSMENT (CRS-Placement) 0) What is the least common denominator for,,? ) Celia collected $0 a day for days. She donated all the money she collected, evenly, to charities. Which number sentence can you use to find how much money each charity received? ($0 + ) = n ($0 ) + = n ($0 + ) = n ($0 + ) n ($0 ) = n = ) Which number sentence can be used to express the statement below? The product of a number and 8 is 8. x + 8 = 8 x 8 = 8 x 8 = 8 x 8 = 8 x 8 = 8

14 LEVEL H: CRS COMPREHENSIVE PERFORMANCE TASKS Greg (Dots), Harry (Dashes) and Isaac (Solid) finished in the top three spots for the 0,000 meter race. The graph below shows their position at various points in the race. 0,000 Meter Race 0 9 Distance (,000 meters ) 8 6 Greg Harry Isaac Time (minutes) A. Which runner was last between the 9 minute and minute mark? B. Which runner reached the,000 meter mark last? C. When was the last tie during the race? D. What was the winning i time? Explain or show how you got your answer. E. What was the average speed for the winner in miles per hour? Explain how you got your answer.

15 LEVEL H Expressions and Equations # Find the ratio of the height and width for each triangle and compare it to the slope. ) Graph yy B A 0 x Answer triangle A height triangle A width triangle B height ti triangle B width slope ) y y B A 0 x triangle A height triangle A width triangle B height triangle B width slope ) y y B A 0 x triangle A height triangle A width triangle B height triangle B width slope

16 LEVEL H: QUIK-PIK #6. Between which two whole numbers is 69 located? 8 and 9 and 8 6 and and 6 and. Find the value of f when T = T f Answer:. Maggy had a $60 gift certificate to go out to dinner for her birthday. The cost of food and drinks is c, where c $60. If Maggy uses the gift certificate and leaves a tip of 0% of the cost of food and drinks, what equation can be used to find, T, the total amount she paid for the meal before taxes? Mark all that apply. T = c + 0.0c T = (c 60) + 0.0c T = (c 60) T = (c + 60) + 0.0c T = (c + 60) + 0.0c T =.0c 60. What is the area of the smaller square if a = and c b =? b a Answer:. The line of best fit graphs the relationship for the weight of a ball and the distance it is thrown. According to the line of best fit by how much does the distance decrease for each pound of increase? Answer: Distance (in inches s) y Ball Distance A (, 00) B (, 0) Weight (in pounds) x

17 LEVEL H: QUIK-PIK #. Patrick likes to run from his home to the park. He uses his Smartphone to track the time and distance that he travels during his run. The table shows the data he recorded during his run on the previous day. Time (minutes) Distance (miles) A) Write an algebraic equation to model the data Patrick collected. Explain why you chose your model. B) Does the data represent a proportional relationship? Explain your reasoning. C) If Patrick continues at his pace how long will it take him to travel 6 miles? Explain your answer.

18 LEVEL H: CRS COMPREHENSIVE PRE/POST ASSESSMENT 0 Function A is represented by the table below. x y Function B is represented by the graph below. y A(-, ) B(, ) x What is the slope for the function with the larger slope? Continue 0

19 LEVEL H: PRE/POST ASSESSMENT (CRS-Placement) 6) There are.6 0 marbles in a box. They will be put into cylinders. Each cylinder can hold 6 marbles. What is the total number of cylinders that will be needed? 0, , , ) What is the measure of the missing side in the triangle below? feet? feet feet feet feet 6 feet feet 8) What is the measure of the missing side in the triangle below? 6 feet 0 feet 9 feet feet 8 feet 6 feet feet? 9

20 MATH BUILD-UP # Grade 6: ADDING/SUBTRACTING FRACTIONS Quik-Points SM : ) When adding or subtracting fractions make sure the denominators are the same. ) If a fraction is being added to a whole number, change the whole Example: number into a fraction. Example: ) Find the Least Common Denominator (LCD). (See Math Build Up #) LCD = 8 ) Create equivalent fractions with 8 as the denominators. ) Add the new fractions ) Simplify if necessary. Complete the chart below. Sum or Difference Expression (in simplest form) Example Educational Development Associates, Inc. SCORE: / 0 ( %)

21 MATH BUILD-UP # Grade 6: ORDER OF OPERATIONS Order of Operations: A set of rules that describes the order in which to compute the four operations to determine the value of an expression. Anchors SM : Boy Braces boy brackets Please Excuse My Dear Aunt Sally Parentheses Exponents Multiplication / Division (left to right as they appear) Addition / Subtraction (left to right as they appear) Example: 0 + { [( ) 0] }. Braces: { [( ) 0] } Go Back to Complete. brackets: [( ) 0]. Parentheses: ( ) =. brackets: [ 0] =. Braces: { } = 6. Addition: 0 + = Answer: Simplify the following expressions. Expression ( + 8) 8 ( + 8) + (6 + ) + (6 ) 6 [ ( + ) ] { [ + ( + ) + ] } 8 { [ ( + ) + ] + } 9 + { [ + ( + ) ] 9 } 0 + ( ) Answer Educational Development Associates, Inc. 6 SCORE: /0 ( %)

22 MATH BUILD-UP # 9 Grade 6: AREA Area: The measure, in square units, of the inside region of a closed twodimensional figure. Area of a Rectangle = base height or length width. Calculate the area of the shaded regions below. Note: Figures not drawn to scale. ) 6) 8 feet 8 feet feet 8 feet 6 feet 8 feet Answer: square feet Answer: square feet ) ) 0 feet feet 60 feet Answer: square feet feet 8 feet feet Answer: square feet ) 8) 9 feet 9 feet feet Answer: square yards 9 feet 8 feet 9 feet Answer: square feet ) in. 9) feet in. 0 in. in. Answer: square inches 60 feet Answer: square yards ) feet 0) 8 yards feet feet feet yards Answer: square feet Answer: square feet Educational Development Associates, Inc. SCORE: /0 ( %)

23 preview B Concept: Pythagorean Theorem Grade Cluster: 6-8 Definition: Theorem that relates the three sides of a right triangle as a + b = c where c is the hypotenuse. Hook(s)/Quik-Pt(s): P(). The hypotenuse of a triangle is the longest side. c a + b = c a b the hypotenuse. If you know two sides of a right triangle, using the Pythagorean Theorem will allow you to get the third side. (Example: Find the length of b in the figure below; b= ) Step : Plug in the values Step : Solve the equation + b = b b = - b = - 9 a + b = c b = 6 b = 6 b = Example: A right triangle has a base of and a height of 0. What is the length of the hypotenuse? Workspace:. Draw a picture 0. Plug in the values. Solve the equation 0 + = c 00 + = c 6 = c 6 = c = c Answer: Educational Development Associates, Inc. 0

24 EDA s supplemental instructional materials are standards-based and designed to provide information to facilitate teacher planning, confirm student mastery, and prepare students to be successful on high-stakes assessments. Our highly-effective supplemental materials include: Results & Researched-based Practices/Strategies Ongoing Assessment and Monitoring Systems Comprehensive Student Achievement Data Analyses Curriculum Integration Plans / Curriculum Maps Professional Development for School Administrators and Teachers In-class Demonstrations / Instructional Modeling Instructional Exchange Sessions / Data Review Sessions Process-Embedded Practice Materials Interactive ti Parental Workshops CRS680-R

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