OBJECTIVES: •Review, practice, and secure concepts. •Breakdown the barriers of vocabulary and format. •Analyze data from the District and State. GLCE Designations • Core - content currently taught at the assigned grade level. • Extended Core - content currently taught at the assigned grade level that describes narrower or less dense topics. • Future Core - not currently taught at assigned grade level (but will be with in the next 3-5 years). • Websites MEAP: www.mi.gov/meap – Released items – Guide to MEAP reports – Assessable GLCE information • MI-Access: www.mi.gov/mi-access – Extended GLCE and Benchmarks – Accommodations Information • MI-Access Information Center: www.mi-access.info • Office of School Improvement: www.mi.gov/osi – Michigan Curriculum Framework – Grade Level Content Expectations (GLCE) • Intermediate School Districts and MMLA connections: – www.mscenters.org – see what other districts have already done! – MMLA assessment builder and practice questions – www.jcisd.org (go to general education Math and Science Center Math GLCE and Model Assessments – www.manistee.org (go to general education benchmark assessment project) – www.mictm.org 5 Math Strands on MEAP • Number and Operation • Algebra • Measurement • Geometry • Data and Probability Reading the GLCE Code: N.FL.06.10 Strand (Content Area) Domain (Sub-Content Area like: Fluency or Patterns, etc.) GLCE Number Grade Level Number and Operations The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLCE: N.FL.07.03 Calculate rates of change including speed. [Core] State Results A 3% B 46% C 49% D 3% District Results 11 Calculate rates of change, including speed A too fast B reciprocal C correct D too slow GLCE: N.FL.07.03 Calculate rates of change including speed. [Core] State Results A 7% District Results 12 While taking Gina’s pulse rate on her wrist, Jeff counted 9 beats in 10 seconds. Which best represents Gina’s pulse rate? A 9 beats per minute B 54 beats per minute B 50% C 90 beats per minute D 540 beats per minute C 32% D 11% GLCE: N.FL.07.05 Solve simple proportion problems using such methods as unit rate, scaling, finding equivalent fractions, and solving the proportion equation a/b = c/d; know how to see patterns about proportional situations in tables. [Core] State Results A 7% B 22% C 52% D 18% District Results 15 Solve proportion problems A incorrect proportion B incorrect proportion C correct D incorrect proportion GLCE: N.FL.07.05 Solve simple proportion problems using such methods as unit rate, scaling, finding equivalent fractions, and solving the proportion equation a/b = c/d; know how to see patterns about proportional situations in tables. [Core] State Results District Results 16. What value of x makes the equation below true? x 6 4 48 A 56% B 6% C 24% D 13% A 0.50 B 0.03 C2 D3 GLCE: N.FL.07.07 Solve problems involving operations with integers. [Core] State Results A 34% B 17% C 10% D 39% District Results 19 Solve problems involving operations with integers A additive inverse B added, instead of subtracted C additive inverse of adding D correct GLCE: N.FL.07.07 Solve problems involving operations with integers. [Core] State Results District Results B 19% 20 A scientist was tracking a whale. At noon, the whale was 5 feet below the surface of a body of water. The following are the whale’s movements over the next several hours. •Dove down 3 more feet •Rose up 8 feet •Dove down 15 feet •Rose up 3 feet C 7% After all of the movements described above, which statement best describes the position of the whale in relation to the surface of the water? A 7% D 66% A 12 feet above the surface of the water B 2 feet below the surface of the water C 2 feet above the surface of the water D 12 feet below the surface of the water GLCE: N.FL.07.08 Add, subtract, multiply and divide negative rational numbers. [Core] State Results A 19% B 25% C 48% D 8% District Results 1 Add, subtract, multiply & divide rational numbers A made positive fraction negative, then added B additive inverse of solution C correct D made negative fraction positive, then added GLCE: N.FL.07.08 Add, subtract, multiply and divide negative rational numbers. [Core] State Results District Results 2 What is the value of the expression below? 6 x (-2) ÷ -3 A 6% B 25% C 5% D 64% A -9 B -4 C1 D4 GLCE: N.FL.07.09 Estimate results of computations with rational numbers. [Core] State Results A 4% B 22% C 67% D 7% District Results 3 Estimate results of computations with rationals A underestimate B underestimate C correct D overestimate GLCE: N.FL.07.09 Estimate results of computations with rational numbers. [Core] State Results A 24% B 24% C 38% D 14% District Results 4 Which is closest to the value of the following expression? 1 4 1 5 7 6 3 2 6 2 A6 B5 C4 D3 GLCE: N.MR.07.04 Convert ratio quantities between different systems of units, such as feet per second to miles per hour. [Core] State Results A 18% B 14% C 27% D 41% District Results 13 Convert ratio quantities between systems of units A used reciprocals of conversion ratios B incorrect conversion C incorrect conversion D correct GLCE: N.MR.07.04 Convert ratio quantities between different systems of units, such as feet per second to miles per hour. [Core] State Results District Results 14 Raul rides his bicycle at a rate of 8 inches per second. What is the rate in feet per minute? A 20% B 33% C 17% D 30% (1 foot = 12 inches) (1 minute = 60 seconds) A 7.5 B 40.0 C 96.0 D 480.0 GLEC: N.MR.07.06 Understand the concept of square root and cube root, and estimate using calculators. [Core] State Results A 77% B 7% C 5% D 11% District Results 17 Understand the concept of square root and cube root A correct B square root means divide by 4 C square root means divide by 3 D square root means divide by 2 GLEC: N.MR.07.06 Understand the concept of square root and cube root, and estimate using calculators. [Core] State Results A 60% B 13% C 9% D 17% District Results 18 Which is the closest to the square root of 11? A 3 B 6 C 66 D 121 Algebra The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLEC: A.FO.07.12 Add, subtract, and multiply simple algebraic expressions of the first degree, e.g., (92x + 8y) – 5x + y, or – 2x (5x – 4), and justify using properties of real numbers. [Core] State Results A 52% B 27% C 7% D 13% District Results 39 Compute simple linear algebraic expressions A correct B a(bx – cy) = abx – cy C a(bx – cy) = (ab - c)xy D a(bx – cy) = a(b – c)xy GLEC: A.FO.07.12 Add, subtract, and multiply simple algebraic expressions of the first degree, e.g., (92x + 8y) – 5x + y, or – 2x (5x – 4), and justify using properties of real numbers. [Core] State Results District Results 40. Which is the equivalent to the expression below? 8x – 2y +4y A 23% A 8x – 2y B 8x + 2y B 38% C 10x + y D 10xy C 20% D 19% GLCE: A.PA.07.04 For directly proportional or linear situations, solve applied problems using graphs and equations, e.g., the heights and volume of a container with uniform cross-section, height of water in a tank being filled at a constant rate, degrees Celsius and degrees Fahrenheit, distance and time under constant speed. [Core] State Results A 58% B 16% C 12% D 13% District Results 35 Solve applied linear problems w/ graphs, equations A correct B incorrect y-intercept, incorrect slope C incorrect y-intercept, correct slope D incorrect y-intercept, incorrect slope GLCE: A.PA.07.04 For directly proportional or linear situations, solve applied problems using graphs and equations, e.g., the heights and volume of a container with uniform cross-section, height of water in a tank being filled at a constant rate, degrees Celsius and degrees Fahrenheit, distance and time under constant speed. [Core] A 36. Michael cycled at a constant speed of 20 miles per hour. State District Which graph best shows the relationship between the Results Results number of miles he traveled and the number of hours he cycled? 27% B 11% C 19% D 43% GLCE: A.PA.07.11 Understand and use basic properties of real numbers: additive and multiplicative identities, additive and multiplicative inverses, commutativity, associativity, and the distributive property of multiplication over addition. [Core] State Results A 13% B 19% C 29% D 39% District Results 37 Understand & use basic properties of real numbers A distributive property B multiplicative identity C associative property D correct GLCE: A.PA.07.11 Understand and use basic properties of real numbers: additive and multiplicative identities, additive and multiplicative inverses, commutativity, associativity, and the distributive property of multiplication over addition. [Core] State Results District Results 38 Which is the equivalent to the following expression? 7(x + 4) A 7x + 28 A 45% B 28x C x + 11 B 16% C 8% D 30% D 7x + 4 GLCE: A.RP.07.02 Represent directly proportional and linear relationships using verbal descriptions, tables, graphs, and formulas, and translate among these representations. [Core] State Results A 32% B 18% C 30% D 20% District Results 7 Show linear relats. w/ tables, graphs, formulas A correct B reciprocal of slope, incorrect y-intercept C additive inverse of slope, correct y-intercept D additive inverse of reciprocal of slope, incorrect y-int GLCE: A.RP.07.02 Represent directly proportional and linear relationships using verbal descriptions, tables, graphs, and formulas, and translate among these representations. [Core] State Results District Results 8Which equation shows the relationship between values of x and y in the table below? A 51% B 16% A C 12% D 21% B C D y 4 x 3 y x7 y x7 y 4 x 3 Geometry The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLCE: G.SR.07.01 Use a ruler and other tools to draw squares, rectangles, triangles and parallelograms with specified dimensions. [Core] State Results A 15% B 6% C 12% D 67% District Results 5 Use ruler, other tools to draw polygons A incorrect measurement B incorrect measurement C incorrect measurement D correct GLCE: G.SR.07.01 Use a ruler and other tools to draw squares, rectangles, triangles and parallelograms with specified dimensions. [Core] State Results District Results 6 Which of the following appears to be a triangle with 1 sides that each measure 3 2 centimeters? A 4% B 72% C 21% D 3% GLEC: G.TR.07.03 Understand that in similar polygons, corresponding angles are congruent and the ratios of corresponding sides are equal; understand the concepts of similar figures and scale factor. [Core] State District Results Results A 14% B 13% C 16% D 57% 21 Know properties of similar figures and scale factor A incorrect conclusion about side lengths B incorrect conclusion about side lengths C incorrect conclusion about angle measures D correct GLEC: G.TR.07.03 Understand that in similar polygons, corresponding angles are congruent and the ratios of corresponding sides are equal; understand the concepts of similar figures and scale factor. [Core] 22 Rectangle ABCD is similar to rectangle EFGH. State Results District Results A 13% B 57% C 20% D 9% What is the scale factor from rectangle ABCD to rectangle EFGH? A 1.5 B 2.5 C 5.0 D 19.0 GLEC: G.TR.07.04 Solve problems about similar figures and scale drawings. [Core] State Results A 30% B 6% C 54% D 10% District Results 23 Solve problems of similar figures, scale drawings A incorrect length B incorrect length C correct D incorrect length GLEC: G.TR.07.04 Solve problems about similar figures and scale drawings. [Core] State Results A 19% B 24% C 17% D 40% District Results 24. A scale drawing of a house uses 0.5 inch to represent 3 feet. If the floor of a room in house is 24 feet long, what is the length in the drawing? A 48 inches B 12 inches C 8 inches D 4 inches GLEC: G.TR.07.05 Show that two triangles are similar using the criteria: corresponding angles are congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal (SSS similarity); use these criteria to solve problems and to justify arguments. [Core] State Results A 18% B 26% C 14% D 41% District Results 25 Show similarity of triangles using properties A incorrect conclusion about angles B incorrect conclusion about angles C incorrect conclusion about side lengths D correct GLCE: G.TR.07.06 Understand and use the fact that when two triangles are similar with scale factor of r, their areas are related by a factor of r2. [Core] State Results A B 51% 18% District Results 26. If ∆LMN is similar to ∆XYZ, which of the following must be true? A B C C 23% D 8% D LM MN NL XY YZ ZX LM MN NL XY ZX YZ LM MN XY YZ LM NL XY ZX GLCE: G.TR.07.06 Understand and use the fact that when two triangles are similar with scale factor of r, their areas are related by a factor of r2. [Core] State Results A 8% B 16% C 58% D 18% District Results 27 Use similarity of triangles and scale factor A did not apply scale factor B divided area by scale factor C multiplied area by scale factor D correct GLCE: G.TR.07.06 Understand and use the fact that when two triangles are similar with scale factor of r, their areas are related by a factor of r2. [Core] State Results A 12% B 44% C 22% D 22% District Results 28 Triangles ABC and DEF are similar. The length of each side of triangle ABC is 8 times the length of each corresponding side of triangle DEF. How many times greater is the area of triangle ABC than the area of triangle DEF? A 4 B 8 C 16 D 64 Data and Probability The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLEC: D.AN.07.03 Calculate and interpret relative frequencies and cumulative frequencies for given data sets. [Core] State Results A 12% B 21% C 47% D 19% District Results 31 Create, select, interpret graphical representations A complement of solution in D B complement of relative frequency C correct D less than or equal to, instead of less than GLEC: D.AN.07.03 Calculate and interpret relative frequencies and cumulative frequencies for given data sets. [Core] State Results A 10% B 24% C 27% D 39% District Results 32 A survey was given to 250 women. Each woman was asked how many children she had. The results showed that 0.28 of the women had 3 or more children. How many of the women had fewer than 3 children? A 28 B 70 C 72 D 180 GLEC: D.AN.07.04 Find and interpret the median, quartiles, and interquartile range of a given set of data. [Core] State Results A 8% B 59% C 10% D 23% District Results 33 Find, interpret the median, quartiles, and IQR A minimum B correct C mean D middle number of unordered list GLEC: D.AN.07.04 Find and interpret the median, quartiles, and interquartile range of a given set of data. [Core] State Results A 21% B 11% C 8% D 60% District Results 34 The range of a set of numbers is 28. The number with the greatest value in the set is 114. What is the number with the least value in the set of numbers? A 43 B 57 C 71 D 86 GLCE: D.RE.07.01 Represent and interpret data using circle graphs, stem and leaf plots, histograms, and box-and-whisker plots and select appropriate representation to address specific questions. [Core] State Results A 19% B 70% C 7% D 4% District Results 29 Create, select, interpret graphical representations A percent = count B correct C incorrect count D added 100 to percent given in circle graph GLCE: D.RE.07.01 Represent and interpret data using circle graphs, stem and leaf plots, histograms, and box-and-whisker plots and select appropriate representation to address specific questions. [Core] 30. The histogram below represents the total points scored by the players during a basketball tournament. State Results District Results A 45% B 12% C 3% D 39% According to the graph, what number of players scored in the interval of 100 to 119 points? A 6 B 18 C 19 D 24 Number & Operation The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLCE: N.MR.07.02 Solve problems involving derived quantities such as density, velocity, and weighted averages. [Future] State Results A 59% B 15% C 14% D 12% District Results 49 A bus used 23 gallons of gasoline to travel a distance of 207 miles. Which is closest to the number of miles the bus traveled for each gallon of gasoline? A 9 B 184 C 230 D 4, 761 Algebra The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLEC: A.FO.07.08 Find and interpret the x and/or y intercepts of a linear equation or function. Know that the solution to a linear equation of the form ax+b=0 corresponds to the point at which the graph of y=ax+b crosses the x axis. [Future] State Results District Results 41 Which ordered pair represents the point where the graph of the following equation intersects the x-axis? Y = 5x – 10 A 35% B 22% C 19% D 24% A (0, -10) B (0, 10) C (-2, 0) D (2, 0) GLCE: A.FO.07.13 From applied situations, generate and solve linear equations of the form ax + b = c and ax + b = cx + d, and interpret solutions. [Future] State Results A 16% B 66% C 15% D 3% District Results 42 Claire needs a total of $24 to pay for a school field trip. She has saved $9. She is selling ribbons for $0.75 to raise the rest of the money she needs. What is the least number of ribbons Claire must sell to raise the money she still needs? A 12 B 20 C 32 D 44 GLCE: A.PA.07.01 Recognize when information given in a table, graph, or formula suggests a directly proportional or linear relationship. [Future] State Results A 7% B 17% C 65% D 11% District Results 9 In which table does the data represent a linear relationship between x and y? GLCE: A.PA.07.03 Given a directly proportional or other linear situation, graph and interpret the slope and intercept(s) in terms of the original situation; evaluate y = mx + b for specific x values, e.g., weight vs. volume of water, base cost plus cost per unit [Future] State Results A 67% B 12% C 7% D 13% District Results 43 In addition to a one-time $4.00 membership fee, a video store charges $1.00 for every video rented. Which graph below best represents this situation? GLCE: A.PA.07.05 Recognize and use directly proportional relationships of the form y = mx, and distinguish from linear relationships of the form y = mx + b, b non-zero; understand that in a directly proportional relationship between two quantities one quantity is a constant multiple of the other quantity. [Future] State Results District Results 44 For the following equation, what is the value of y when x=18? 1 y= x 6 A 15% 1 A 3 B 67% B3 C C 10% D 7% 1 108 D 108 GLCE: A.PA.07.06 Calculate the slope from the graph of a linear function as the ratio of “rise/run” for a pair of points on the graph, and express the answer as a fraction and a decimal; understand that linear functions have slope that is a constant rate of change. [Future] State Results District Results 45. Which appears to be the slope of the line graphed on the grid below? A 22% A B 34% B C 36% C D 7% D GLEC: A.PA.07.07 Represent linear functions in the form y = x + b, y = mx, and y = mx + b, and graph, interpreting slope and y-intercept. [Future] State Results A 21% B 18% C 44% D 17% District Results 46 Which equation represents the data in the following table? GLEC: A.PA.07.09 Recognize inversely proportional relationships in contextual situations; know that quantities are inversely proportional if their product is constant, e.g., the length and width of a rectangle with fixed area, and that an inversely proportional relationship is of the form y = k/x where k is some non-zero number. [Future] State Results A 47% B 7% C 36% D 10% District Results 47 A lawn mowing company contracts to mow 60 lawns per day. Currently the company employs 6 people to mow lawns but will double the number of employees. If each current and new employee mows the same number of lawns per day, how many would they each mow? A 5 B 6 C 10 D 12 GLEC: A.RP.07.10 Know that the graph of y = k/x is not a line, know its shape, and know that it crosses neither the x nor the y-axis. [Future] State Results A 21% B 25% C 26% D 28% District Results 10 Which equation best represents the graph on the coordinate plane shown below? Data and Probability The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. GLCE: D.AN.07.02 Create and interpret scatter plots and find line of best fit; use an estimated line of best fit to answer questions about the data. [Future] 48. The scatter plot below shows some students’ science and math test scores. State Results District Results A 35% B 35% C 18% D 12% Which equation would most accurately represent the line of best fit for this set of data? Conclusions from the Data Below are the core GLCE’s by strand in order of average from greatest to least. (--- = separates 70% mark) Number and Operations ------------------------ Algebra ----------------------- Measurement Geometry Data and Probability ----------------------- ------------------------ ------------------------