Grade 6 Math ISTEP+ Part II Overview

This PowerPoint presentation by Robert Trammel provides instructional materials for Grade 6 Math ISTEP+ Part II, focusing on various question types and directions for the test. It covers number sense, computation, rational numbers, fractions, decimals, and percents, aiding students in preparing for online assessments. The presentation suggests using calculators and reference sheets, and includes interactive activities for student engagement.

• Math
• Grade 6
• ISTEP+
• Online Assessment
• Math Test

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1. Grade 6 Math ISTEP+ Part II Weight 70% Robert Trammel Math Consultant 1

2. Message to Teachers The PowerPoint Presentation is intended to help students to become familiar with online computer-type questions. There are five days of instructional materials that can be easily stretched to six or seven days upon the discretion of the teacher. This PowerPoint Presentation can be used as a whole-class instructional tool or in small group settings. The information is based upon standards by rating: Grade Level Standard Potentially on ISTEP+ Part II only * Grade Level Standard Potentially on ISTEP+ Parts I&II * + Very Important Grade Level Standard Potentially on ISTEP+ Parts I&II + Very Important Grade Level Standard Potentially on ISTEP+ Part II only 2

3. Question Types on ISTEP+ Part II ISTEP+ Part II has a variety of question types. The samples that are provided in this document will illustrate the different forms or types of problems that you will see on ISTEP+ Part II. Multiple Choice .select the one correct answer from a choice of 4. Technology Enhanced select multiple right answers from a list of 5-7 choices. Short Answer answer must be typed on the answer blank provided. Drag and Drop .possible answers are in a menu .drag and drop answer choices with a mouse to a certain location. 3

4. Directions: The problems that follow will be similar to the types of questions on the online version of ISTEP+. Some problems calculators are permitted. If you see this icon you are allowed to use a calculator. If you see this icon you are allowed to use the ISTEP reference sheet. Some problems require the use of the ISTEP+ reference sheet. ISTEP Reference Sheet Many of the problems will require some pencil/paper work to find the answer. So .have a pencil and paper handy. 4

5. Number Sense & Computation 30-40% 5

6. Day 1 + 6.NS.3 Compare and order rational numbers and plot them on a number line. Write, interpret, and explain statements of order for rational numbers in real-world contexts. + 6.NS.5 Know commonly used fractions (halves, thirds, fourths, fifths, eighths, tenths) and their decimal and percent equivalents. Convert between any two representations (fractions, decimals, percents) of positive rational numbers without the use of a calculator. * + 6.NS.10 Use reasoning involving rates and ratios to model real-world and other mathematical problems (e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations). 6

7. + 6.NS.3 Which statement(s) is/are true? Select all that apply. A 1 2 < 3 8 B 1 2 < 3 4 C 3 5 < 6 10 D 3 5 > 6 10 E 2 3 < 3 4 F 2 3 > 3 4 7

8. + 6.NS.3 These five rational numbers are plotted on a horizontal number line. -? ? , ? ? , -? ? , ? ?? , -? ? Which statement about the locations on the number line of the rational numbers is true? Darken the correct letter choice. A -? ?is farthest to the left, ? ? and is farthest to the right. B -? ?is farthest to the left, ? ? and is farthest to the right. C -? ?is farthest to the left, ? ?? and is farthest to the right. D -? ?is farthest to the left, ? ?? and is farthest to the right. 8

9. + 6.NS.5 Which statement(s) is/are true? Select all that apply. A 1 2 = 0.5 B 0.75 = 3 4 6 C 60% = 100 D .25 = 1 5 E 55% = 11 20 F 3 8 = .37 9

10. + 6.NS.5 Complete the table to make equivalent expressions. Select answers for the table from the Selection Menu. Not all the items in the Selection Menu will be used. Drag and Drop answers into the table cells. Selection Menu 1 3 Equivalent Expressions Fraction Decimal .5 Percent 33% .75 .3 50% 1 4 3 5 ? ? 33 1 62 .5 % 3 % 60% 1 2 75 % ? ? .6 .625 10

11. * + 6.NS.10 Which statement(s) is/are true? Select all that apply. Jim s lawnmower gas cap shows a 16:1 fuel mixture which means 16 parts of gasoline to 1 part of oil. If Jim puts 1 gallon(128 ounces) of gasoline in the lawnmower, how many ounces of oil should Jim add to make the mixture correct? ANSWER: Jim needs to add _________ ounces of oil. 11

12. 6.NS.7 What is the greatest common factor of 16 and 48? Darken the correct letter choice. A 2 B 4 C 8 D 16 12

13. 6.NS.8 This table shows the numbers of books, by type, checked out from the school library on Monday. Book Type Number of Books Mystery 24 Nonfiction 18 Adventure 12 Humor 16 What is the ratio of mystery books checked out to nonfiction books checked out? Darken the correct letter choice. A 1 to 2 B 2 to 1 C 3 to 4 D 4 to 3 13

14. Day 2 + 6.C.1 Divide multi-digit whole numbers fluently using a standard algorithmic approach. + 6.C.2 Compute with positive fractions and positive decimals fluently using a standard algorithmic approach. * + 6.C.6 Apply the order of operations and properties of operations (identity, inverse, commutative properties of addition and multiplication, associative properties of addition and multiplication, and distributive property) to evaluate numerical expressions with nonnegative rational numbers, including those using grouping symbols, such as parentheses, and involving whole number exponents. Justify each step in the process. 14

15. + 6.C.1 Evaluate: 14 3 3 6 Select the correct answer. A 23 r 4 B 24 C 23 r 5 D 25 15

16. + 6.C.2 Evaluate: 2 3 5 + 1 7 10 Select the correct answer. A 3 10 B 4 13 10 15 C 3 2 D 4 3 3 10 16

17. - 6.C.4 Carol makes 9 1 plastic bags. She puts 2 3 cups of snack mix. She puts all the snack mix into 3 cup of the snack mix in each bag. How many plastic bags does Carol need? Enter your answer blank below. Answer___________bags 17

18. + 6.C.6 Karen was asked by her teacher to evaluate this problem: 1 + 2(9 1) 4 Which choice shows the correct method and the correct answer for Karen s problem? A 1 + 2(9 1) 4 = 3(9 - 1) 4 = 1 + 2(8) 4 = 3(8) 4 = 24 4 = 6 3 x 2 = 6 Answer 6Answer 6 B 1 + 2(9 1) 4 = 1 + 2 x 2 = C 1 + 2(9 1) 4 = 1 + 2(8) 4 = 1 + 16 4 = 1 + 4 = 5 1 + 8 = 9 Answer 5 Answer 9 D 1 + 2(9 1) 4 = 1 + 2(8) 4 = 1 + 2(8) 4 = 18

19. + 6.C.6 For each expression, Drag and drop the correct answer from the Selection Menu to the blank. Not all the items in the Selection Menu will be used. Selection Menu (1 + 23) 32 + 4 = _____________ 51 14 6 7 10 8 20 5 x 2 + 42 - 10 = _____________ 10 13 10 + 4 32 + 5(4 3)3= _____________ 5 0 3 10 20 19

20. 6.C.5 Which equations with exponential expressions are true? Select all that apply. A 33 = 3 3 B 52 = 5 5 C 54 = 4 4 4 4 4 D 7 7 7 7 7 7 = 67 E 7 7 7 7 7 7 = 76 F 7 7 7 7 7 7 = 77 20

21. * + 6.C.3 Thomas buys a case of bottled water. A case contains 36 bottles of water and costs $4.69. Thomas will sell each bottle of water for $0.75 at a school event. How much profit, in dollars, will Thomas earn if he sells all the bottles of water? Enter your answer in the blank below. Answer $_________ profit 21

22. Algebra & Functions 21-31% 22

23. Day 3 + 6.AF.1 Evaluate expressions for specific values of their variables, including expressions with whole-number exponents and those that arise from formulas used in real-world problems. 6.AF.2 Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions and to justify whether two linear expressions are equivalent when the two expressions name the same number regardless of which value is substituted into them. * + 6.AF.5 Solve equations of the form x + p = q, x - p = q, px = q, and x/p = q fluently for cases in which p, q and x are all nonnegative rational numbers. Represent real world problems using equations of these forms and solve such problems. * + 6.AF.10 Use variables to represent two quantities in a proportional relationship in a real-world problem; write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. 23

24. + 6.AF.1 Evaluate: 23 + 9 - 32 Select the correct answer. A 8 B 9 C 0 D 3 24

25. + 6.AF.1 What is the value of a2+ 3b c 2d when a = 3, b = 8, c = 2 d = 5? Select the correct answer. A 8 B 10 C 11 D 7 25

26. 6.AF.2 Which statements or equations are true? Select all that apply. A (5 + 6) - x = x - (5 + 6) B (5 + 6) + x = x + (5 + 6) C 5(x + 3) = 5x + 15 D 5 2 = 2 5 E 5 x = 5 (1 ?) F 7(x 10) = 7 x - 10 26

27. * + 6.AF.5 Solve for x . x - 7 = 4 Darken the correct letter choice. A 3 B -3 C 11 D -11 27

28. * + 6.AF.10 Linda pays $30 every month for cable television. Let y = cost for cable television and let x = number of months Which equation shows Linda s total cable television cost? Darken the correct letter choice. A y = x + 30 B y = x 30 C y = 30x D y = x - 30 28

29. * 6.AF.3 ISTEP Reference Sheet Joanne buys a rectangular rug with an area 35 The length of the rug is 7 the rug? Darken the correct letter choice. 4 of square meters. 2 meters. What is the width, in meters, of A 5 B 7 8 meters 8 meters C 5 D 7 2meters 2 meters 29

30. * 6.AF.3 During a sale, all pillows are off 1 Which expression shows the amount of money saved on a pillow that had a regular price of d dollars? Darken the collect letter choice. 4 the regular price. A d 4 B d x 4 C d + 4 D d - 4 30

31. 6.AF.2 Select each expression that is equivalent to 3(n + 6) . Select all that apply. A 3n + 6 B 3n + 18 C 2n + 2 + n + 4 D 2(n + 6) + (n + 6) E 2(n + 6) + n 31

32. * 6.AF.3 Cirrus clouds form at a height of more than 6,000 meters above Earth. Which inequality represents h, the height, in meters, of cirrus clouds? Darken the correct letter choice. A 6,000 > h B 6,000 h C 6,000 < h D 6,000 h 32

33. Geometry & Measurement 11-21% 33

34. Day 4 6.GM.1 Convert between measurement systems (English to metric and metric to English) given conversion factors, and use these conversions in solving real-world problems. 6.GM.2 Know that the sum of the interior angles of any triangle is 180 and that the sum of the interior angles of any quadrilateral is 360 . Use this information to solve real-world and mathematical problems. * 6.GM.4 Find the area of complex shapes composed of polygons by composing or decomposing into simple shapes; apply this technique to solve real-world and other mathematical problems. * 6.GM.5 Find the volume of a right rectangular prism with fractional edge lengths using unit cubes of the appropriate unit fraction edge lengths (e.g., using technology or concrete materials), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths to solve real-world and other mathematical problems. 34

35. 6.GM.1 ISTEP Reference Sheet Jerry has 10 inches of string How many centimeters of string does Jerry have? Answer:_______________ centimeters 35

36. 6.GM.2 Find the missing angle measurement for x. Darken the correct letter choice. 90 x 60 A 30 B 40 C 50 D 60 36

37. 6.GM.2 Find the angle measure of angle x in degrees for the shape shown. Darken the correct letter choice. 105 130 45 x A 80 B 50 C 120 D 150 37

38. 6.GM.2 Find the angle measure of angle x in degrees for the shape shown. Darken the correct letter choice. x 76 42 A 82 B 62 C 242 D 282 38

39. ISTEP * 6.GM.4 The front view of a house has the shape as shown. Find the total area of this shape. Reference Sheet Front View of a House 10 feet 18 feet 20 feet Answer_______________ square feet 39

40. ISTEP * 6.GM.5 Reference Sheet The right rectangular prism is shown. What is the volume of the shape? 6 5 10 Select the correct answer. A 22 cubic units B 32 cubic units C 345.5 cubic units D 346.5 cubic units 40

41. 6.GM.2 For each shape, Drag and drop the correct angle measure for x, in degrees, from the Selection Menu to the blank. Not all the items in the Selection Menu will be used. 18 Selection Menu x x = _________ 162 45 20 125 65 63 115 322 142 x = _________ 127 x 50 225 71 95 55 x = _________ x 64 41

42. ISTEP Reference Sheet * 6.GM.5 The right rectangular prism is shown. What is the volume of the shape? 5 inches 33 4 inches 4 1 2 inches Answer: _____________________ cubic inches 42

43. 6.GM.1 ISTEP Reference Sheet How many inches are in 2 miles? Darken the correct letter choice. A 10, 560 inches B 63,360 inches C 126,720 inches D 253,440 inches 43

44. Data Analysis & Statistics 4-14% 44

45. Day 5 + 6.DS.3 Formulate statistical questions; collect and organize the data (e.g., using technology); display and interpret the data with graphical representations (e.g., using technology). 6.D.4 Summarize numerical data sets in relation to their context in multiple ways, such as: report the number of observations; describe the nature of the attribute under investigation, including how it was measured and its units of measurement; determine quantitative measures of center (mean and/or median) and spread (range and interquartile range), as well as describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered; and relate the choice of measures of center and spread to the shape of the data distribution and the context in which the data were gathered. 45

46. + 6.DS.3 Robin was gathering information about the 6th grade class. The question she was researching was: How many 6th grade students play basketball? Which of these is a statistical question Robin could ask to help find the answer? Darken the correct letter choice. AHow many students are in the school? BHow many 6th graders go to school basketball games? CHow many 6th graders participate in basketball games? D How many 6th graders are at least 5 feet 4 inches tall? 46

47. + 6.DS.4 The set of numbers below shows the weights, in pounds, of different koalas at the zoo. 13, 15, 18, 11, 20, 16, 12 Which statements are correct about the weights of the koalas? Select all that apply. A The mean and median are the same value. B The mean is greater than the median. C The median is greater than the mean. D The range is 9. E The mode is 18 47

48. + 6.DS.4 The median number of points scored by 9 players in a basketball game is 12. The range of the numbers of points scored by the same basketball players in the same game is 7. Which statements are true based on the given information? Select all that apply. A At least one player scored 12 points. B The greatest number of points scored is less than 19 points. C The mean number of points scored is greater than 12 points. D If the greatest number of points scored is 16, then the least number of points scored is 4. 48