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Mathematics Performance Standard D Grade 12
pressure) to represent and solve problem situations D.12.2 Select and use tools with appropriate degree of precision to determine measurements directly* within specified degrees of accuracy and error (tolerance) D.12.3 Determine measurements indirectly*, using estimation proport...
dpi.wi.gov/standards/mathd12.html
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 Strand
probabilities. For example: If one girl and one boy are picked at random from a class with 20 girls and 15 boys, there are 20 × 15 = 300 different possibilities, so the probability that a particular girl is chosen together with a particular boy is 1300 . 9.4.3.2 Calculate experi...
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probabilities. For example: If one girl and one boy are picked at random from a class with 20 girls and 15 boys, there are 20 × 15 = 300 different possibilities, so the probability that a particular girl is chosen together with a particular boy is 1300 . 9.4.3.2 Calculate experimental probabilities by performing simulations or experiments involving a probability model and using relative frequencies of outcomes. 9.4.3.3 Understand that the Law of Large Numbers expresses a relationship between the
44 0 http://education.state.mn.us/mdeprod/groups/Standards/documents/LawStatute/035171.pdf#page=44 education.state.mn.us/mdeprod/groups/Standards/documents/LawStatute/03517...
probabilities. For example: If <span class="highlight">one</span> girl and <span class="highlight">one</span> boy are picked at random from a class with 20 girls and 15 boys, there are 20 &times; 15 = 300 different possibilities, so the probability that a particular girl is chosen together with a particular boy is 1300 . 9.4.3.2 Calculate experimental probabilities by performing simulations or experiments involving a probability <span class="highlight">model</span> and <span class="highlight">using</span> relative frequencies <span class="highlight">of</span> outcomes. 9.4.3.3 Understand that the Law <span class="highlight">of</span> Large Numbers expresses a relationship between the
 SBEinsideCovTitleIX.qxd
Revised 2003 56 Mathematics Advanced Functions and Modeling Advanced Functions and Modeling provides students an in-depth study of modeling and applying functions. Home, work, recreation, consumer issues, public policy, and scientific investigations are just a few of the areas f...
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Revised 2003 56 Mathematics Advanced Functions and Modeling Advanced Functions and Modeling provides students an in-depth study of modeling and applying functions. Home, work, recreation, consumer issues, public policy, and scientific investigations are just a few of the areas from which applications should originate. Appropriate technology, from manipulatives to calculators and application software, should be used regularly for instruction and assessment. Prerequisites • Describe phenomena as functions
60 0 http://www.dpi.state.nc.us/docs/curriculum/mathematics/scos/math2003.pdf#page=60 www.dpi.state.nc.us/docs/curriculum/mathematics/scos/math2003.pdf#page=60
Revised 2003 56 Mathematics Advanced Functions and Modeling Advanced Functions and Modeling provides students an in-depth study <span class="highlight">of</span> modeling and applying functions. Home, work, recreation, consumer issues, public policy, and scientific investigations are just a few <span class="highlight">of</span> the <span class="highlight">areas</span> from which applications should originate. Appropriate technology, from manipulatives to calculators and application software, should be used regularly for instruction and assessment. Prerequisites &bull; Describe phenomena as functions
 GRADE 8
and apply pattern recognition to reason mathematically while integrating content from each of the other strands. In Grade 8, students increase their fluency with numerical and geometric sequences by expressing their thinking using a variety of representations. Students d...
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and apply pattern recognition to reason mathematically while integrating content from each of the other strands. In Grade 8, students increase their fluency with numerical and geometric sequences by expressing their thinking using a variety of representations. Students describe and analyze patterns and have the opportunity to create both types of sequences. Performance Objectives Process Integration Explanations and Examples Students are expected to: PO 1. Recognize, describe, create, and
17 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade8.pdf#page=17 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
and apply pattern <span class="highlight">recognition</span> to reason mathematically while integrating content from each <span class="highlight">of</span> the other strands. In Grade 8, students increase their fluency with numerical and geometric sequences by expressing their thinking <span class="highlight">using</span> a variety <span class="highlight">of</span> representations. Students describe and analyze patterns and have the opportunity to create both types <span class="highlight">of</span> sequences. Performance Objectives Process Integration Explanations and Examples Students are expected to: PO 1. Recognize, describe, create, and
 GRADE 7
numbers, shapes, iteration, recursion, and graphs within a variety of real-world problem solving situations. Iteration and recursion are used to model sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways of representing ma...
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numbers, shapes, iteration, recursion, and graphs within a variety of real-world problem solving situations. Iteration and recursion are used to model sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways of representing mathematical relationships, and the analysis of change. Concept 1: Patterns Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands. In Grade 7, students
25 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade7.pdf#page=25 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
numbers, shapes, iteration, recursion, and graphs within a variety <span class="highlight">of</span> real-world problem solving situations. Iteration and recursion are used to <span class="highlight">model</span> sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways <span class="highlight">of</span> representing mathematical relationships, and the analysis <span class="highlight">of</span> change. Concept 1: Patterns Identify patterns and apply pattern <span class="highlight">recognition</span> to reason mathematically while integrating content from each <span class="highlight">of</span> the other strands. In Grade 7, students
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integers; At Level 3, the student is able to connect physical, graphical, verbal, and symbolic representations of absolute value; model inverse operations; explore various representations and equivalent forms of real numbers; justify, using models, operations on simple al...
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integers; At Level 3, the student is able to connect physical, graphical, verbal, and symbolic representations of absolute value; model inverse operations; explore various representations and equivalent forms of real numbers; justify, using models, operations on simple algebraic expressions (i.e., collecting like terms). Sample Tasks: Search the newspapers for various uses of numbers and, in writing, justify the representations chosen (i.e., percent, fraction, and decimal). Investigate the
2 0 http://www.state.tn.us/education/ci/math/doc/MA_3131.pdf#page=2 www.state.tn.us/education/ci/math/doc/MA_3131.pdf#page=2
integers; At Level 3, the student is able to connect physical, graphical, verbal, and symbolic representations <span class="highlight">of</span> absolute value; <span class="highlight">model</span> inverse operations; explore various representations and equivalent forms <span class="highlight">of</span> real numbers; justify, <span class="highlight">using</span> models, operations on simple algebraic expressions (i.e., collecting like terms). <span class="highlight">Sample</span> Tasks: Search the newspapers for various uses <span class="highlight">of</span> numbers and, in writing, justify the representations chosen (i.e., percent, fraction, and decimal). Investigate the
4 0 http://www.state.tn.us/education/ci/math/doc/MA_3131.pdf#page=4 www.state.tn.us/education/ci/math/doc/MA_3131.pdf#page=4
At Level 1, the student is able to complete a function table given the function rule. At Level 2, the student is able to construct linear and non-linear graphs that <span class="highlight">model</span> given real-world situations; solve a two-step linear equation <span class="highlight">using</span> models and justify each step. At Level 3, the student is able to use the Distributive Property to solve a <span class="highlight">one</span>-variable linear equation (variable on both sides <span class="highlight">of</span> the equation); solve and graph linear inequalities with integral coefficients. <span class="highlight">Sample</span>
 GRADE 6
relationships, and functions involving numbers, shapes, iteration, recursion, and graphs within a variety of real-world problem solving situations. Iteration and recursion are used to model sequential, step-by-step change. Algebra emphasizes relationships among quantities, including fu...
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relationships, and functions involving numbers, shapes, iteration, recursion, and graphs within a variety of real-world problem solving situations. Iteration and recursion are used to model sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways of representing mathematical relationships, and the analysis of change. Concept 1: Patterns Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other
21 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade6.pdf#page=21 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
relationships, and functions involving numbers, shapes, iteration, recursion, and graphs within a variety <span class="highlight">of</span> real-world problem solving situations. Iteration and recursion are used to <span class="highlight">model</span> sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways <span class="highlight">of</span> representing mathematical relationships, and the analysis <span class="highlight">of</span> change. Concept 1: Patterns Identify patterns and apply pattern <span class="highlight">recognition</span> to reason mathematically while integrating content from each <span class="highlight">of</span> the other
 GRADE K
occur everywhere in nature. Algebraic methods are used to explore, model and describe patterns, relationships, and functions involving numbers, shapes, iteration, recursion, and graphs within a variety of real-world problem solving situations. Iteration and recursion are used to mod...
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occur everywhere in nature. Algebraic methods are used to explore, model and describe patterns, relationships, and functions involving numbers, shapes, iteration, recursion, and graphs within a variety of real-world problem solving situations. Iteration and recursion are used to model sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways of representing mathematical relationships, and the analysis of change. Concept 1: Patterns Identify patterns
8 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeK.pdf#page=8 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
occur everywhere in nature. Algebraic methods are used to explore, <span class="highlight">model</span> and describe patterns, relationships, and functions involving numbers, shapes, iteration, recursion, and graphs within a variety <span class="highlight">of</span> real-world problem solving situations. Iteration and recursion are used to <span class="highlight">model</span> sequential, step-by-step change. Algebra emphasizes relationships among quantities, including functions, ways <span class="highlight">of</span> representing mathematical relationships, and the analysis <span class="highlight">of</span> change. Concept 1: Patterns Identify patterns
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pie chart. #0;9 3108.5.2 Translate from one representation of data to another (e.g., bar graph to pie graph, pie graph to bar graph, table to pie graph, pie graph to chart) accurately using the area of a sector. #0;9 3108.5.3 Estimate or calculate simple geometric probabi...
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pie chart. #0;9 3108.5.2 Translate from one representation of data to another (e.g., bar graph to pie graph, pie graph to bar graph, table to pie graph, pie graph to chart) accurately using the area of a sector. #0;9 3108.5.3 Estimate or calculate simple geometric probabilities (e.g., number line, area model, using length, circles). State Performance Indicators: SPI 3108.5.1 Use area to solve problems involving geometric probability (e.g. dartboard problem, shaded sector of a circle, shaded region
6 0 http://www.state.tn.us/education/ci/math/doc/MA_3108.pdf#page=6 www.state.tn.us/education/ci/math/doc/MA_3108.pdf#page=6
pie chart. #0;9 3108.5.2 Translate from <span class="highlight">one</span> representation <span class="highlight">of</span> data to another (e.g., bar graph to pie graph, pie graph to bar graph, table to pie graph, pie graph to chart) accurately <span class="highlight">using</span> the area <span class="highlight">of</span> a sector. #0;9 3108.5.3 Estimate or calculate simple geometric probabilities (e.g., number line, area <span class="highlight">model</span>, <span class="highlight">using</span> length, circles). State Performance Indicators: SPI 3108.5.1 Use area to solve problems involving geometric probability (e.g. dartboard problem, shaded sector <span class="highlight">of</span> a circle, shaded region
 Utah Secondary Mathematics Core Curriculum
greater than one using scientific notation. d. Select the most appropriate form of a rational number for a given context. Objective 2: Compare and order rational numbers, including positive and negative fractions, positive and negative mixed numbers, and positive and negative...
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