Sara Vanderwerf



Grade 7 MCA #1 Name:NUMBER AND OPERATIONS (7.1.x.x)Directions: Define Each term with words and a picture.IntegerRational NumberIrrational NumberFractionRepeating DecimalTerminating DecimalVocabularyBenchmarkπ written as a symbol, not as “pi”terminating repeating7.1.1.1 Know that every rational number can be written as the ratio of two integers or as a terminating or repeating decimal. Recognize that π is not rational, but that it can be approximated by rational numbers such as and 3.14. Emerging Understanding QuestionPartially Proficient QuestionWrite each fraction as a decimal:2/3 =1/2 =4/9 =3/8 =1/6 =Give three examples of rational numbers.Proficient QuestionExceeding Standard QuestionWhat are the differences between rational and irrational numbers?For more help on 7.1.1.1, GOOGLE:Grade 7 MCA #1 part 2 NUMBER AND OPERATIONS (7.1.x.x)terminating repeating7.1.1.2 Understand that division of two integers will always result in a rational number. Use this information to interpret the decimal result of a division problem when using a calculator. For example: gives 4.16666667 on a calculator. This answer is not exact. The exact answer can be expressed as, which is the same as. The calculator expression does not guarantee that the 6 is repeated, but that possibility should be anticipated. Emerging Understanding QuestionPartially Proficient QuestionCircle all terminating decimals.183896011112500268732012700000.5 2.75 0.3 3.416 Write the fraction 141/18 as a decimal.Proficient QuestionExceeding Standard QuestionWhen you use a calculator to convert 2/3 to a decimal you divide 2 by 3. The calculator screen reads 0.6666666667. Is this a repeating decimal, why or why not? Why is the 7 on the calculator screen?Look at the 4 problems on the front and back of this sheet.Circle the statement that best matches your personal understanding of each benchmarkBENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.1.1(front)I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.7.1.1.2(above)I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.1.2, GOOGLE:Grade 7 MCA #2 Name:NUMBER AND OPERATIONS (7.1.x.x)Directions: Define Each term with words and a picture.OppositeCoordinateOriginVocabularyBenchmarkopposite, coordinate, origin7.1.1.3 Locate positive and negative rational numbers on a number line, understand the concept of opposites, and plot pairs of positive and negative rational numbers on a coordinate grid. Emerging Understanding QuestionPartially Proficient QuestionWhat is the opposite of each number below? The opposite of 5 is ______. The opposite of -8 is ______. The opposite of -0.6 is ______. The opposite of ? is ______. The opposite of -482 is ______.Proficient QuestionExceeding Standard QuestionGraph the fraction ? and its opposite on a number line.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.1.3I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.1.3, GOOGLE:Grade 7 MCA #2 part 2NUMBER AND OPERATIONS (7.1.x.x)VocabularyBenchmarkInequality7.1.1.4 Compare positive and negative rational numbers expressed in various forms using the symbols < , > , = , ≤ , ≥ . For example: < . Emerging Understanding QuestionPartially Proficient QuestionInsert a symbol (<, >, =) to make a true statement.-5 ______ 3-15.7 ______ -12- ? ______ - ?-2 ______ ? Order the numbers from least to greatest.Proficient QuestionExceeding Standard QuestionDraw a diagram/picture that justifies that ? is larger than ?.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.1.4I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.1.4, GOOGLE:Grade 7 MCA #3 Name:NUMBER AND OPERATIONS (7.1.x.x)VocabularyBenchmarkinequality7.1.1.5 Recognize and generate equivalent representations of positive and negative rational numbers, including equivalent fractions. For example: .Emerging Understanding QuestionPartially Proficient QuestionCircle all values equivalent to -1.5. 1.5 Proficient QuestionExceeding Standard QuestionSuzy’s sister does not understand why -0.4, -2/5 and -40% are equivalent representations. How can Suzy convince her sister these three numbers are equivalent?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.1.5I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.1.5, GOOGLE:Grade 7 MCA #3 part 2 NUMBER AND OPERATIONS (7.1.x.x)VocabularyBenchmark7.1.2.1 Add, subtract, multiply and divide positive and negative rational numbers that are integers, fractions and terminating decimals; use efficient and generalizable procedures, including standard algorithms; raise positive rational numbers to whole-number exponents. For example: .Emerging Understanding QuestionPartially Proficient QuestionSOLVE WITHOUT USING A CALCULATOR.?2 + ?7 = ?7 + 4= 9 + ?3 =2 – 5 = ?2 – 5 = 4 - ?6 =3 ? ?6 = ?7 ? ?8 = ?10 ? 9 =12 ÷ ?3 = -24 ÷ ?6 = ?18 ÷ 2 =SOLVE WITHOUT USING A CALCULATOR.Proficient QuestionExceeding Standard QuestionSOLVE WITHOUT USING A CALCULATOR.SOLVE WITHOUT USING A CALCULATOR.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.2.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.2.1, GOOGLE:Grade 7 MCA #4 Name:NUMBER AND OPERATIONS (7.1.x.x)VocabularyBenchmarkinverse7.1.2.2 Use real-world contexts and the inverse relationship between addition and subtraction to explain why the procedures of arithmetic with negative rational numbers make sense. For example: Multiplying a distance by -1 can be thought of as representing that same distance in the opposite direction. Multiplying by -1 a second time reverses directions again, giving the distance in the original direction.Emerging Understanding QuestionPartially Proficient QuestionUse the model to find the solution to each number sentence. Draw a picture of your solution. Proficient QuestionExceeding Standard QuestionModel each number sentence and its solution on a number line. ?5 – 7 = ?4 ? 2 =Use the story of hot and cold cubes to describe the solution to the number sentence ?6 – 11 = ?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.2.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.2.2, GOOGLE:Grade 7 MCA #4 part 2 NUMBER AND OPERATIONS (7.1.x.x)Directions: Define Each term with words and a picture.Simple InterestCompound InterestProportionVocabularyBenchmarksimple interest, compound interest7.1.2.3 Understand that calculators and other computing technologies often truncate or round numbers. (Assessed within 7.1.2.4) 7.1.2.4 Solve problems in various contexts involving calculations with positive and negative rational numbers and positive integer exponents, including computing simple and compound interest. Emerging Understanding QuestionPartially Proficient QuestionEvaluate each expression: -32= (-6)3= 54 =Convert each percent to its decimal equivalent. 400%= 40%= 4%= 0.4%=Proficient QuestionExceeding Standard QuestionCircle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.2.4I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.2.4, GOOGLE:Grade 7 MCA #5 Name:NUMBER AND OPERATIONS (7.1.x.x)VocabularyBenchmarkproportion7.1.2.5 Use proportional reasoning to solve problems involving ratios in various contexts. For example: A recipe calls for milk, flour and sugar in a ratio of 4:6:3 (this is how recipes are often given in large institutions, such as hospitals). How much flour and milk would be needed with 1 cup of sugar?Emerging Understanding QuestionPartially Proficient Question25527001017905001866900101028500998220675005# of trees =# of hours 00# of trees =# of hours Proficient QuestionExceeding Standard QuestionA recipe for 4 dozen cookies uses 500 grams of flour, 450 grams of butter, and 200 grams of sugar. How much of each ingredient would be required to make 60 cookies?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.2.5I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.2.5, GOOGLE:Grade 7 MCA #5 part 2 NUMBER AND OPERATIONS (7.1.x.x)VocabularyBenchmarkabsolute value7.1.2.6 Demonstrate an understanding of the relationship between the absolute value of a rational number and distance on a number line. Use the symbol for absolute value. For example: |3| represents the distance from 3 to 0 on a number line or 3 units; the distance between 3 and on the number line is | 3| or . Emerging Understanding QuestionPartially Proficient QuestionEvaluate: Proficient QuestionExceeding Standard QuestionEvaluate each expression:2 - 4??4 - 3? + (?2)4 ?2 ? (?2) - 3? + 1 Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.1.2.6I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.For more help on 7.1.2.6, GOOGLE:Grade 7 MCA #6 Name:ALGEBRA (7.2.x.x)VocabularyBenchmarkProportional, inversely7.2.1.1 Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form or. Distinguish proportional relationships from other relationships, including inversely proportional relationships (or). For example: The radius and circumference of a circle are proportional, whereas the length x and the width y of a rectangle with area 12 are inversely proportional, since xy = 12 or equivalently,.Emerging Understanding QuestionPartially Proficient QuestionCircle all the equations that represent a proportional relationship. y = 3x a = 5.3b y = 6 y = 6 + 7x = y k = 3.1 – 8x35560825500If so, what is the equation of the relationship?Proficient QuestionExceeding Standard QuestionWrite the rule for the table below:XY124212384664Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.1.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #6 part 2 ALGEBRA (7.2.x.x)Directions: Define Each term with words and a picture.Unit RateConstant of ProportionalitySlopeVocabularyBenchmarkproportional, origin, slope, constant of proportionality7.2.1.2 Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine what happens to a line when the unit rate is changed. Emerging Understanding QuestionPartially Proficient Question552451778000 This table represents a proportional relationship. What do you know about its graph? What is the ‘unit rate’? What is the ‘constant of proportionality’? What is the slope?Proficient QuestionExceeding Standard Question15240171450035560952500Also, draw a line with a constant of proportionality of 25 pieces of paper per box.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.1.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #7 Name:ALGEBRA (7.2.x.x)VocabularyBenchmarkproportional, origin, slope7.2.2.1 Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. Determine the unit rate (constant of proportionality or slope) given any of these representations. For example: Larry drives 114 miles and uses 5 gallons of gasoline. Sue drives 300 miles and uses 11.5 gallons of gasoline. Use equations and graphs to compare fuel efficiency and to determine the costs of various trips.Emerging Understanding QuestionPartially Proficient QuestionWhat is the unit rate (constant of proportionality) for each situation? Sue drives 360 miles and uses 12 gallons of gasoline.Henri walks 210 meters in 60 seconds.Aleigha spent $9 on 12 cans of soup.Why did you select this graph?Proficient QuestionExceeding Standard Question025781000Part 2: Write an equation representing how much Len spends if he pays $3.50 to rent shoes.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.2.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #7 part 2 ALGEBRA (7.2.x.x)VocabularyBenchmarkproportional7.2.2.2 Solve multi-step problems involving proportional relationships in numerous contexts. (note: Contexts may include (but are not limited to) discounts, tax and percent of change))For example: Distance-time, percent increase or decrease, discounts, tips, unit pricing, lengths in similar geometric figures, and unit conversion when a conversion factor is given, including conversion between different measurement systems.Another example: How many kilometers are there in 26.2 miles?7.2.2.3 Use knowledge of proportions to assess the reasonableness of solutions. (Assessed within 7.2.2.1 and 7.2.2.2)For example: Recognize that it would be unreasonable for a cashier to request $200 if you purchase a $225 item at 25% off.Emerging Understanding QuestionPartially Proficient Question Proficient QuestionExceeding Standard QuestionMs. Nur’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Nur decides to leave a 2% tip for the cashier based on the pre-tax amount. How much will the total bill be, including tax and tip?Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.2.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #8 Name:ALGEBRA (7.2.x.x)VocabularyBenchmarkinequality< less than> greater than7.2.2.4 Represent real-world or mathematical situations using equations and inequalities involving variables and positive and negative rational numbers. For example: "x is at least -3 and less than 5" can be represented as, and also on a number line. Another example: "Four-fifths is three greater than the opposite of a number" can be represented as, and "height no bigger than half the radius" can be represented as . Emerging Understanding QuestionPartially Proficient QuestionMatch each algebraic expression with the correct phrase underneath them.1. _________? 2x + 5?2. _________? (x + 5)?3.? _________ 2x - 5?4.? _________ 2(x - 5)A.? twice the sum of x and 5??????? B.? five less than the product of 2 and x??????? C.? five more than the product of 2 and x??????? D.? two times the difference of x and 5Which of the following equations shows that 5 times x is 3 more than 2 times y?A.? 5x + 3 = 2y?B.? 5x = 3 - 2y?C.? x = 5(3 + 2y)?D.? 5x = 3 + 2yProficient QuestionExceeding Standard Question83820108267500Why is ‘C’ the correct solution?Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, Shaggy worked on Saturday.The length of a rectangular fenced enclosure is 12 feet more than the width. If Farmer Dan has 100 feet of fencing, write an inequality to find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.2.4I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #8 part 2 ALGEBRA (7.2.x.x)VocabularyBenchmarksimplify7.2.3.1 Use properties of algebra to generate equivalent numerical and algebraic expressions containing rational numbers, grouping symbols and whole number exponents. Properties of algebra include associative, commutative and distributive laws. (note: Items must not have context)For example: Combine like terms (use the distributive law) to write .Emerging Understanding QuestionPartially Proficient QuestionGive an example of each property:32842207175500Associative property: Commutative property:Distributive property:Combine ‘like terms’4x + 5x = 3x – 7x =-2m + 5n + 9m + -7n = 9a – a = Why is ‘A’ the correct solution (which property)? Why are B, C & D NOT equivalent?Proficient QuestionExceeding Standard Question15240093535500Why is C the correct solution?10414083629500Why is C the correct solution?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.3.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #9 Name:ALGEBRA (7.2.x.x)VocabularyBenchmarkevaluate, substitute7.2.3.2 Evaluate algebraic expressions containing rational numbers and whole number exponents at specified values of their variables. (note: Expressions contain no more than 3 variables)For example: Evaluate the expression at x = 5.7.2.3.3 Apply understanding of order of operations and grouping symbols when using calculators and other technologies. (Assessed within 7.2.3.1 and 7.2.3.2)For example: Recognize the conventions of using a caret (^ raise to a power) and asterisk (* multiply); pay careful attention to the use of nested parentheses.Emerging Understanding QuestionPartially Proficient QuestionSHOW YOUR WORK! What is the value of each expression if a=?4, b=5, c=34 a + b 2c -7a ba+cSHOW YOUR WORK!Proficient QuestionExceeding Standard QuestionSHOW YOUR WORK! Evaluate: a-bc for a = ?12, b=?42 and c=6Evaluate: p – q + r ÷ q ? p for p=5, q=?2 & r=?14b. Evaluate the expression you wrote for the following values. x = 17’ x = 15.5’ x = 78 feetCircle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.3.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #9 part 2 ALGEBRA (7.2.x.x)VocabularyBenchmarksolve7.2.4.1 Represent relationships in various contexts with equations involving variables and positive and negative rational numbers. Use the properties of equality to solve for the value of a variable. Interpret the solution in the original context. For example: Solve for w in the equation P = 2w + 2? when P = 3.5 and ? = 0.4. Another example: To post an Internet website, Mary must pay $300 for initial set up and a monthly fee of $12. She has $842 in savings, how long can she sustain her website?Emerging Understanding QuestionPartially Proficient QuestionWhat does an equal sign mean? 3 = 124Solve each equation for the variable. 5x = 15 x – 7 = 19 3x + 7 = 3173660139954000 Choice B is the correct solution. Why? Show your work.Proficient QuestionExceeding Standard Question102870100203000Choice A is the correct solution? Why?Show your work by solving the equation. Explain your choice:Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.4.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #9 part 3 ALGEBRA (7.2.x.x)VocabularyBenchmarkequation7.2.4.2 Solve equations resulting from proportional relationships in various contexts. For example: Given the side lengths of one triangle and one side length of a second triangle that is similar to the first, find the remaining side lengths of the second triangle. Another example: Determine the price of 12 yards of ribbon if 5 yards of ribbon cost $1.85.Emerging Understanding QuestionPartially Proficient QuestionSolve each equation for x.3x = 27 147 = 28x -24.2x = -484811=x55 54108=135x x3=4872WHY IS ‘B’ THE CORRECT SOLUTION?A map uses the scale 1.5 cm = 25 mi.? Two cities are 190 miles apart. How far apart are the cities on the map?12852401397000A.? 0.21 cm B.? 11.4 cmC.? 2,917 cm D.? 6,563 cmIn a scale drawing, 12 inch represents 3 feet. If the same scale is used, how many inches will be needed to represent 24 feet?1323340508000A.? 2 inches B.? 4 inchesC.? 8 inches D.? 12 inchesProficient QuestionExceeding Standard QuestionSHOW YOUR WORK!A rhinoceros beetle weights 30 grams and can carry 850 times its body weight. If a person can carry proportionally as much as the rhinoceros beetle, how much could a 60-kilogram (kg) student carry?Benton is planting grass. Grass seed covers 250 square feet per pound of seed. How many pounds are needed to seed a lawn measuring 50 feet by 100 feet?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.2.4.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #10 Name:GEOMETRY AND MEASUREMENT (7.3.x.x)Directions: Define each term with words and a picture. Include appropriate formulas. RadiusDiameterCircumference VocabularyBenchmarkπ (written as a symbol, not as “pi”)radius, diameter, circumference7.3.1.1 Demonstrate an understanding of the proportional relationship between the diameter and circumference of a circle and that the unit rate (constant of proportionality) is . Calculate the circumference and area of circles and sectors of circles to solve problems in various contexts. (Note: Items may assess finding the area and arc length of a sector & Items do not assess finding the perimeter of a sector)Emerging Understanding QuestionPartially Proficient QuestionWhat is the circumference of a circle if the diameter is 7 ft? 331470029908500Find the area of a circle if the diameter is 8 cm. If the circumference of a circle is 25.12 in, then what is the diameter? 2289810-1333500Why is ‘A’ the correct solution?Proficient QuestionExceeding Standard QuestionCircle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.3.1.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #10 part 2 GEOMETRY AND MEASUREMENT (7.3.x.x)Directions: Define each term with words and a picture. Include appropriate formulas. CylinderLateral surface areaArea of BaseVocabularyBenchmarkradius,diameter, circumference, cylinder,lateral area7.3.1.2 Calculate the volume and surface area of cylinders and justify the formulas used. (Note: units must be consistent throughout an item; conversions are not allowed)For example: Justify the formula for the surface area of a cylinder by decomposing the surface into two circles and a rectangle.Emerging Understanding QuestionPartially Proficient QuestionFind the volume and lateral surface area of the cylinder below.331470062103000 Why is ‘C’ the correct solution? Show your work.Proficient QuestionExceeding Standard Question2367280-1524000The volume of a cylinder with a height of10 inches is 4710 cubic inches. Find the lateral surface area. Use 3.14 for pi.Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.3.1.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #11 Name:GEOMETRY AND MEASUREMENT (7.3.x.x)Directions: Define Each term with words and a picture.SimilarCorrespondingScale factorVocabularyBenchmark76327016637000Allowable notation: ~ (similar), ? (congruent), FG (segment FG), FG (length of segment FG)similar, corresponding, scale factor7.3.2.1 Describe the properties of similarity, compare geometric figures for similarity, and determine scale factors. For example: Corresponding angles in similar geometric figures have the same measure.Emerging Understanding QuestionPartially Proficient QuestionEach set of shapes is similar. What is the scale factor? fixProficient QuestionExceeding Standard QuestionDrawings 2 and 3 are scale drawings of Drawing 1. The scale factor from Drawing 1 to Drawing 2 is 75% and the scale factor from Drawing 2 to Drawing 3 is 50%. Find the Scale factor from Drawing 1 to Drawing 3.Circle the statement that best matches your personal understanding of today’s benchmarkBENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.3.2.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #11 part 2 GEOMETRY AND MEASUREMENT (7.3.x.x)VocabularyBenchmarkAllowable notation: ~ (similar), ? (congruent), FG (segment FG), FG (length of segment FG)similar, corresponding, scale factor 7.3.2.2 Apply scale factors, length ratios and area ratios to determine side lengths and areas of similar geometric figures. For example: If two similar rectangles have heights of 3 and 5, and the first rectangle has a base of length 7, the base of the second rectangle has length .Emerging Understanding QuestionPartially Proficient QuestionSolve for x. 331470028702000Why is ‘B’ the correct solution?Proficient QuestionExceeding Standard Question0168910000The sun creates a shadow of a tree and a 5-foot boy creating similar triangles. What is the height of the tree?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.3.2.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #12 Name:GEOMETRY AND MEASUREMENT (7.3.x.x)Directions: Define Each term with words and a picture.Scale DrawingConversionVocabularyBenchmarksimilar, corresponding, scale drawing,conversion7.3.2.3 Use proportions and ratios to solve problems involving scale drawings and conversions of measurement units. (Note: Conversions are limited to no more than 2 per item) For example: 1 square foot equals 144 square inches. Another example: In a map where 1 inch represents 50 miles, inch represents 25 miles.Emerging Understanding QuestionPartially Proficient QuestionOn a scale drawing, 3 inches represents 24 feet. How tall is a building that is 5 inches high?(a) 20 feet(b) 30 feet(c) 40 feet(d) 50 feetProficient QuestionExceeding Standard QuestionA square has an area of 19. If the side length is increased by a factor of 5, what is the new area of the square?A square has an area of 22. If the side length is increased by a factor of 2, what is the new area of the square?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.3.11I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #12 part 2 GEOMETRY AND MEASUREMENT (7.3.x.x)VocabularyBenchmarkAllowable translation notation: J and J’ (labels for points before and after transformation) (x,y) (x + 3, y – 2)7.3.2.4 Graph and describe translations and reflections of figures on a coordinate grid and determine the coordinates of the vertices of the figure after the transformation. (Note: Images may be reflected over vertical lines, horizontal lines and the lines y=x and y=–x)For example: The point (1, 2) moves to (-1, 2) after reflection about the y-axis.Emerging Understanding QuestionPartially Proficient Question0574675 Define ‘translation’:Define ‘reflection’:Proficient QuestionExceeding Standard QuestionTranslate ABCD using the rule (x, y) (x + 3, y – 5)What are the coordinates of : A’ B’ C’ D’BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.3.2.4I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #13 Name:DATA ANALYSIS AND PROBAILITY (7.4.x.x)VocabularyBenchmarkstem-and-leaf plot7.4.1.1 Design simple experiments and collect data. Determine mean, median and range for quantitative data and from data represented in a display. Use these quantities to draw conclusions about the data, compare different data sets, and make predictions. (Note: Data displays are limited to no more than 10 categories & Data displays from previous grades may be used) For example: By looking at data from the past, Sandy calculated that the mean gas mileage for her car was 28 miles per gallon. She expects to travel 400 miles during the next week. Predict the approximate number of gallons that she will use.Emerging Understanding QuestionPartially Proficient QuestionProficient QuestionExceeding Standard QuestionA packing company mailed six packages with a mean weight of 4.8 pounds. Suppose the mean weight of five of these packages is 5.1 pounds. What is the weight of the sixth package?A.4.95?????????????? B.? 5.1???????? ???? C.? 3.3???????????? D.?? 4.85Compare the 2 data sets using statistics.Circle the statement that best matches your personal understanding of today’s benchmarKBENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.4.1.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #13 part 2 DATA ANALYSIS AND PROBAILITY (7.4.x.x)VocabularyBenchmark7.4.1.2 Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. Know how to create data displays using a spreadsheet to examine this impact. (Note: Data sets are limited to no more than 10 data points)Emerging Understanding QuestionPartially Proficient QuestionDetermine the mean & median for the following data. 12, 13, 32, 34, 45, 51, 56, 89Determine the mean & median for the following data. 12, 13, 32, 34, 45, 51, 56, 89, 678Examine the two sets of data. One of the sets has an outlier. Identify it. How does the outlier impact the mean?How does the outlier impact the median?8128068199000Proficient QuestionExceeding Standard Question10 student’s math quiz scores are recorded below. What is the difference between the mean score of all students & the mean score of the data set without the outlier?BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.4.1.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #14 Name:DATA ANALYSIS AND PROBAILITY (7.4.x.x)VocabularyBenchmarkcircle graph, histogram, frequency table7.4.2.1 Use reasoning with proportions to display and interpret data in circle graphs (pie charts) and histograms. Choose the appropriate data display and know how to create the display using a spreadsheet or other graphing technology. (Note: Data sets are limited to no more than 10 data points)Emerging Understanding QuestionPartially Proficient QuestionProficient QuestionExceeding Standard QuestionExplain your choice.546103429000How much time does a student spend doing homework each week?In one day, how many more minutes does a student watch TV than do homework?Circle the statement that best matches your personal understanding of today’s benchmark.BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.4.2.1I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #14 part 2 DATA ANALYSIS AND PROBAILITY (7.4.x.x)VocabularyBenchmark7.4.3.1 Use random numbers generated by a calculator or a spreadsheet or taken from a table to simulate situations involving randomness, make a histogram to display the results, and compare the results to known probabilities. (NOT ASSESSED IN MCA)7.4.3.2 Calculate probability as a fraction of sample space or as a fraction of area. Express probabilities as percents, decimals & fractions. For example: Determine probabilities for different outcomes in game spinners by finding fractions of the area of the spinner. Emerging Understanding QuestionPartially Proficient Question Proficient QuestionExceeding Standard QuestionA game with 2 spinners is won by spinning a blue on Spinner A and a green on Spinner B. If a player spins both spinners 384 times, how many times would you expect them to win? 1837690709930blue00blue847090626110blue00blue7327901121410yellow00yellow21653501220470red00red2531110679450green00green1612901106170green00green237490633730red00redBENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.4.3.2I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.Grade 7 MCA #14 part 3 DATA ANALYSIS AND PROBAILITY (7.4.x.x)VocabularyBenchmark7.4.3.3 Use proportional reasoning to draw conclusions about and predict relative frequencies of outcomes based on probabilities. For example: When rolling a number cube 600 times, one would predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.Emerging Understanding QuestionPartially Proficient QuestionProficient QuestionExceeding Standard QuestionIf a pair of dice are rolled 702 times, how many times would you expect to roll a multiple of 4?BENCHMARKDOES NOT MEET STANDARDPARTIALLY MEETS STANDARDMEETS STANDARDEXCEEDS STANDARD7.4.3.3I do not understand this standardI understand some parts of this standardI am confident I can do problems on this standard correctly.I understand this standard so well I can explain it to friends.4/64/74/84/9 Lab to use calculator4/104/134/144/154/164/174/204/21 Field Trip4/224/23 Cheat Sheet4/24 Unit 5 Test4/27 Scratch Paper HW4/28 4/294/30 Ms. Van absent – Last Minute Hints5/1 Sleep/Drink Water/Relax ................
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