{"content":{"sharePage":{"page":0,"digests":[{"id":"25572255","dateCreated":"1278563251","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572255"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Statistics Standard 3.0","description":"3.0
\nStudents determine theoretical and experimental probabilities and use these to make predictions about events:
\n
\n3.1
\nRepresent all possible outcomes for compound events in an organized way (e.g., tables, grids, tree diagrams) and express the theoretical probability of each outcome.
\n
\n3.2
\nUse data to estimate the probability of future events (e.g., batting averages or number of accidents per mile driven).
\n
\n3.3
\nRepresent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring.
\n
\n3.4
\nUnderstand that the probability of either of two disjoint events occurring is the sum of the two individual probabilities and that the probability of one event following another, in independent trials, is the product of the two probabilities.
\n
\n3.5
\nUnderstand the difference between independent and dependent events.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572241","dateCreated":"1278563214","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572241"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Statistics Standard 2.0","description":"2.0
\nStudents use data samples of a population and describe the characteristics and limitations of the samples:
\n
\n2.1
\nCompare different samples of a population with the data from the entire population
\nand identify a situation in which it makes sense to use a sample.
\n
\n2.2
\nIdentify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative
\nfor a population.
\n
\n2.3
\nAnalyze data displays and explain why the way in which the question was asked might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached.
\n
\n2.4
\nIdentify data that represent sampling errors and explain why the sample (and the display) might be biased.
\n
\n2.5
\nIdentify claims based on statistical data and, in simple cases, evaluate the validity of the claims.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572225","dateCreated":"1278563134","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572225"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Statistics Standard 1.0","description":"1.0
\nStudents compute and analyze statistical measurements for data sets:
\n
\n1.1
\nCompute the range, mean, median, and mode of data sets.
\n
\n1.2
\nUnderstand how additional data added to data sets may affect these computations of measures of central tendency.
\n
\n1.3
\nUnderstand how the inclusion or exclusion of outliers affects measures of central tendency.
\n
\n1.4
\nKnow why a specific measure of central tendency (mean, median, mode) provides the most useful information in a given context.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572213","dateCreated":"1278563095","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572213"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Measurement and Geometry Standard 2.0","description":"2.0
\nStudents identify and describe the properties of two-dimensional figures:
\n
\n2.1
\nIdentify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms.
\n
\n2.2
\nUse the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle.
\n
\n2.3
\nDraw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle).","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572207","dateCreated":"1278563061","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572207"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Measurement and Geometry Standard 1.0","description":"1.0
\nStudents deepen their understanding of the measurement of plane and solid shapes and use this understanding to solve problems:
\n
\n1.1
\nUnderstand the concept of a constant such as \u03c0; know the formulas for the circumference
\nand area of a circle.
\n
\n1.2
\nKnow common estimates of \u03c0 (3.14; 22\u20447) and use these values to estimate and calculate
\nthe circumference and the area of circles; compare with actual measurements.
\n
\n1.3
\nKnow and use the formulas for the volume of triangular prisms and cylinders (area of base \u00d7 height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572199","dateCreated":"1278563035","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572199"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Algebra and Functions Standard 3.0","description":"3.0
\nStudents investigate geometric patterns and describe them algebraically:
\n
\n3.1
\nUse variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A =\u20442 bh, C = \u03c0 d\u2014the formulas for the perimeter of a rectangle, the area of a triangle,
\nand the circumference of a circle, respectively).
\n
\n3.2
\nExpress in symbolic form simple relationships arising from geometry.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572189","dateCreated":"1278563007","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572189"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Algebra and Functions Standard 2.0","description":"2.0
\nStudents analyze and use tables, graphs, and rules to solve problems involving rates and proportions:
\n
\n2.1
\nConvert one unit of measurement to another (e.g., from feet to miles, from centimeters
\nto inches).
\n
\n2.2
\nDemonstrate an understanding that rate is a measure of one quantity per unit value of another quantity.
\n
\n2.3
\nSolve problems involving rates, average speed, distance, and time.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572185","dateCreated":"1278562984","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572185"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Algebra and Functions Standard 1.0","description":"1.0
\nStudents write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results:
\n
\n1.1
\nWrite and solve one-step linear equations in one variable.
\n
\n1.2
\nWrite and evaluate an algebraic expression for a given situation, using up to three variables.
\n
\n1.3
\nApply algebraic order of operations and the commutative, associative, and distributive
\nproperties to evaluate expressions; and justify each step in the process.
\n
\n1.4
\nSolve problems manually by using the correct order of operations or by using a scientific calculator.","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572181","dateCreated":"1278562939","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572181"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Number Sense Standard 2.0","description":"2.0
\nStudents calculate and solve problems involving addition, subtraction, multiplication, and division:
\n
\n2.1
\nSolve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.
\n
\n2.2
\nExplain the meaning of multiplication and division of positive fractions and per8
\n\u00f7 158 \u00d7 16
\nform the calculations (e.g., 5\u2044 \u204416 = 5\u2044 \u204415 = 2\u20443).
\n
\n2.3
\nSolve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations
\nof these operations.
\n
\n2.4
\nDetermine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction).","replyPages":[{"page":0,"digests":[],"more":0}]},{"id":"25572171","dateCreated":"1278562908","smartDate":"Jul 7, 2010","userCreated":{"username":"jstevens1","url":"https:\/\/www.wikispaces.com\/user\/view\/jstevens1","imageUrl":"https:\/\/www.wikispaces.com\/user\/pic\/1202793136\/jstevens1-lg.jpg"},"monitored":false,"locked":false,"links":{"self":"https:\/\/psusdmath.wikispaces.com\/share\/view\/25572171"},"dateDigested":1532174927,"startDate":null,"sharedType":"discussion","title":"Number Sense Standard 1.0","description":"1.0
\nStudents compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions,
\nand percentages:
\n
\n1.1
\nCompare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.
\n
\n1.2
\nInterpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a\/b, a to b, a:b).
\n
\n1.3
\nUse proportions to solve problems (e.g., determine the value of N if 4\/7 = N\/21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.
\n
\n1.4
\nCalculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.","replyPages":[{"page":0,"digests":[],"more":0}]}],"more":false},"comments":[]},"http":{"code":200,"status":"OK"},"redirectUrl":null,"javascript":null,"notices":{"warning":[],"error":[],"info":[],"success":[]}}