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Test Information Test Out Course: CMP 7, Series of 7 end-of-unit summative assessments Assessment Times: 11:30 am – 1:30 pm Location: Wayzata High School 2nd floor forum Assessment Dates: June 18th – June 20th June 25th – June 27th July 9th – July 11th July 16th – July 18th July 23rd – July 25th July 30th – Aug 1st Aug 6th – Aug 8th Results Release Date: August 15th, 2012 Materials Textbook and ISBN number: Connected Mathematics Project 2 (ISBN’s vary by book) Note: Wayzata School District and its Employees are not responsible to provide students a textbook during the test out process Units/Books of emphasis: CMP 7th grade Accentuate the Negative CMP 7th grade Stretching and Shrinking CMP 7th grade Filling and Wrapping CMP 7th grade Moving Straight Ahead CMP 7th grade What Do you Expect CMP 7th grade Data Distributions CMP 8th grade Kaleidoscopes, Hubcaps, and Mirrors Units/Books to omit: CMP 7th grade Variables and Patterns CMP 7th grade Comparing and Scaling Textbook Companion Site: http://www.phschool.com/atschool/cmp2/program_page.html Test Format Students testing out of CMP 7 will take 7 end of unit summative tests over the course of the summer. Students may take any test on any of the above test dates. Approximate Number of Multiple Choice/Matching/True False Questions: 0 Percentage of Test: 0 Approximate Number of Constructed Response: Most questions are constructed response. There maybe a few questions scattered throughout the series of tests that are multiple choice. Percentage of Test: 100% Approximate Number of Essay: 0 Percentage of Test: 0 Course Learning Targets/Objectives Stretching and Shrinking 1. Similar Figures Key Terms: Similarity Scale Drawings Scale Factor Corresponding Sides Corresponding Angles Supplementary Angles Complementary Angles Image Learning Targets: 1. Compare geometric figures for similarity and determine scale factors. (MS 7.3.2.1) 2. Determine side lengths (perimeter) and areas of similar figures. (MS 7.3.2.2) 3. Explain how a scale factor affects the perimeter and area of similar figures. (MS 7.3.2.2) 4. Use algebraic rules to produce similar figures. (MS 7.3.2.4) 2. Ratios Key Terms: Equivalent representations (percents, decimals, fractions) Equivalent fractions Ratios Scale Factor Learning Targets: 1. Find missing sides lengths using ratios or scale factors. (MS 7.3.2.2) 2. Compare two ratios of corresponding sides to determine if figures are similar (equivalent fractions) (MS 7.1.1.5) 3. Proportions Key Terms: Scale factor Proportional Equations Learning Targets: 1. Use proportions to solve problems in various contexts. (MS 7.1.2.5) 2. Solve multi-step problems involving proportional reasoning. (MS 7.2.2.2) 3. Be able to explain how to solve a proportion using scale factors.* 4. Use proportions and ratios to solve problems involving scale drawings. (MS 7.3.2.3) 5. Solve equations resulting from proportional relationships. (MS 7.2.4.2) Filling and Wrapping 1. Surface Area Key terms – you should be able to define and apply each key term Edge, Face, Height, Nets Formulas: Surface area of a cylinder = 2 r 2 2 rh Surface area of a prism = 2B + Ph; (B is the area of the base, P is the perimeter of the base, and h is the height) Learning Targets: 1. Calculate the surface area of cylinders and prisms. (MS 7.3.1.2) 2. Be able to justify the formulas used in calculating the surface area of cylinders and prisms. (MS 7.3.1.2) 3. Develop nets to calculate surface areas of cylinders and prisms. 4. Be able to use surface area to solve real-world situations. 2. Volume Key Terms – you should be able to define and apply each key term Base, Cube, Cone, Cylinder, Prism, Height, Sphere, Unit Cube Formulas: Volume of a cylinder = r 2 h Volume of a prism = (B)h; where B is the area of the base and h is the height of the prism Volume of a sphere = Volume of a cone = 4 3 r 3 1 2 r h 3 Learning Targets: 1. Calculate the volume of cylinders, prisms, spheres, and cones. (MS 7.3.1.2) 2. Be able to justify the formulas used in calculating the volume of cylinders, prisms, and spheres. (MS 7.3.1.2) 3. Be able to use volume to solve real-world situations 3. Circles Key Terms –you should be able to define and apply each key term Sector, Pi or Formulas: Area of a circle = r 2 Circumference of a circle = 2 r Learning Targets: 1. Explain how the diameter and circumference of a circle is the unit rate called . (MS 7.3.1.1) 2. Calculate the circumference of circles and sectors of circles. (MS 7.3.1.1) 3. Calculate the area of circles and sectors of circles. (MS 7.3.1.1) 4. Mathematical Relationships Key Terms – you should be able to define and apply all previous concepts Learning Targets: 1. Be able to apply similarity and scale factors to three-dimensional figures. (MS 7.3.2.1) 2. Explain why three-dimensional figures may have the same volume but different surface areas. 3. Explain how changes in one or more dimensions of a rectangular prism or cylinder affect the prism’s volume. 4. Explain how changes in one or more dimensions of a rectangular prism or cylinder affect the prism’s surface area. Accentuate the Negative 1. Rational numbers Key Terms: Rational Number, Opposites, Integers, Positive Numbers, Negative Numbers Learning Targets: 1. Know the definition of a rational number (i.e. written as the ratio of two integers or as a terminating or repeating decimal). (MS 7.1.1.1) 2. Write the division of two integers as a rational number. (MS 7.1.1.2) 2. Plotting and comparing rational numbers Key Terms: Quadrants Learning Targets: 1. Locate positive and negative rational numbers on a number line. (MS 7.1.1.3) 2. Plot pairs of positive and negative rational numbers on a coordinate grid. (MS 7.1.1.3) 3. Compare positive and negative rational numbers using symbols. (MS 7.1.1.4) 3. Operations with rational numbers Key Terms: Number Sentences, Associative Property, Commutative Property, Distributive Property, Inverse operations, Algorithm, Order of Operations, Expanded Form, Factored Form Learning Targets: 1. Add, subtract, multiply and divide positive and negative rational numbers. (MS 7.1.2.1) 2. Evaluate an expression of positive and negative rational numbers using order of operations (including whole number exponents). (MS 7.1.2.1) 3. Demonstrate the inverse relationship between addition and subtraction of rational numbers in real-world context. (MS 7.1.2.2) 4. Apply the distributive, associative, and commutative properties to solve problems. (MS 7.2.3.1) 5. Evaluate algebraic expressions containing rational numbers and whole number exponents. (MS 7.2.3.2) 6. Apply the order of operations and grouping symbols when using calculators and other technologies. (MS 7.2.3.3) 4. Absolute Value Key Terms: Absolute Value Learning Targets: 1. Be able to use the absolute value symbol and understand the relationship between absolute value and distance on a number line. (MS 7.1.2.6) 2. Evaluate expressions using absolute value (MS 7.1.2.6) Moving Straight Ahead 1. Calculator Tables and Graphs Key Terms: Trace, Table, Table Set, Window, Window Set, 2nd Function, xmin, xmax, xscl, ymin, ymax, yscl Learning Targets: Assessed within the classroom 1. Be able to make a table and a graph on the graphing calculator. 2. Be able to change window settings to view a line. 3. Be able to change the table settings. 4. Use the function keys to explore graphs and tables. 2. Linear Models Key Terms: Proportional relationships and inversely proportional relationships, linear, linear relationship, linear function, coefficient, Y-intercept, slope, rise, run, constant, rate of change, y = mx + b, where m is the coefficient of x and b is the y-intercept *more use of “proportional relationship” and “inversely proportional relationship” Equations: y = kx and y/x = k => proportional relationships with graphs going through the origin, constant rate of increase or decrease xy = k and y = k/x => inversely proportional relationships where one variable is increasing while the other is decreasing at non constant rates Learning Targets: 1. Determine if a relationship is linear from a table, graph, equation and situation. 2. Write a linear equation in slope-intercept form by identify the slope and y-intercept from a graph, table, equation and situation. The slope may be referred to as the unit rate or constant of proportionality. (MS 7.2.2.1) 3. Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x = k or y = kx. Distinguish proportional relationships from other relationships, including inversely proportional relationships (xy = k or y = k/x). (MS 7.2.1.2) 4. 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. (MS 7.2.1.2) 5. Represent proportional relationships with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another. (MS 7.2.2.1) * embedded within questions about unit rate and slope 3. Solving Equations Key Terms: Point of intersection, symbolic method, solutions, intersecting lines, coordinate pair Learning Targets: 1. Solve a linear equation using a table, graph, or substitution. 2. Set up and solve equations using a symbolic algorithm. (MS 7.2.4.1) 3. Interpret the solution in the original context. (MS 7.2.4.1) 4. Locate the intersection of two linear relationships in a table or graph or symbolically. Data Distributions Lesson: Supplement with activities based on real-world data Key Terms: Circle graph, Line Plot, Stem and Leaf, Histogram, Data Collection, Mean, Median, Mode, Range, Data Point Learning Target: Design simple experiments, and collect data. (MS 7.4.1.1) Determine mean, median and range for quantitative data and from data represented in a display. (MS 7.4.1.1) Draw conclusions about the data, compare different data sets and make predictions. (MS 7.4.1.1) Describe the impact that inserting or deleting a data point has on the mean and the median of a data set. (MS 7.4.1.2) Choose the appropriate data display (Circle graph, Line Plot, Stem and Leaf, Histogram) and know how to create the display using a spreadsheet or other graphing technology. (MS 7.4.2.1) What Do you Expect 1. Experimental and Theoretical Probability Key Terms: Experimental, Theoretical, Area Model, Tree Diagram, Organized List, Simulation, Outcome, Sample Space, Random Learning Targets: 1. Use manipulatives (dice, coins, spinners) to simulate situations involving randomness, make a histogram to display the results, and compare the results to known probabilities. (MS 7.4.3.1) 2. Display outcomes in a tree diagram, organized list, or area model 3. Perform probability simulations 2. Probability of Events Key Terms: Fair Game, Equally Likely, Law of Large Numbers, Expected Value, Payoff, Binomial Probability Learning Targets: 1. Calculate probability as a fraction of a sample space or area. (MS 7.4.3.2) 2. Express probabilities as percents, decimals and fractions. (MS 7.4.3.2) 3. Use proportional reasoning to predict relative frequencies of outcomes based on probabilities. (MS 7.4.3.3) 4. Find expected value 5. Determine if a game is fair 6. Explain how to make a game fair if it is not a fair game Kaleidoscopes, Hubcaps, and Mirrors 1. Recognize Different Symmetry Transformations Lesson: 1.1 through 1.4 Key Terms: Basic Design Element, Transformation, Symmetry, Reflection, Translation, Rotation, Line of Symmetry, Angle of Rotation, Center of Rotation Skills: Recognize and describe reflections, rotations, and translations and their connection to the concept of congruence. Design shapes that have specified symmetries Identify basic design elements 2. Perform Symmetry Transformations Lesson: 2.1 through 2.3 Key Terms: Transformation, Symmetry, Reflection, Translation, Rotation, Line of Symmetry, Angle of Rotation, Center of Rotation. Line Reflection Skills: Perform reflections, rotations, and translations 3. Transformations on a coordinate grid Lesson: Supplement Key Terms: Apply previous terms along with x-axis, y-axis, vertical lines, horizontal lines, y = x, and y = x. Skills: Graph and describe translations, rotations, and reflections of figures on a coordinate grid. (MS 7.3.2.4)