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 Microsoft Word - 2007 MS Math Framework Competencies and Objectives 9-18-07.doc
2007 Mississippi Mathematics Framework Revised 23 b. Describe the effects of composition and decomposition of polygons when smaller shapes are substituted for a larger shape or a larger shape is substituted for smaller ones. (DOK 2) c. Identify and classify three-dimensional figures (...
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2007 Mississippi Mathematics Framework Revised 23 b. Describe the effects of composition and decomposition of polygons when smaller shapes are substituted for a larger shape or a larger shape is substituted for smaller ones. (DOK 2) c. Identify and classify three-dimensional figures (cone, pyramid, and cylinder) according to their characteristics. (DOK 1) MEASUREMENT 4. Estimate, identify, and apply measurable attributes. a. Select appropriate tools and units, estimate, and measure
24 0 http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%209-18-07.pdf#page=24 www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
2007 Mississippi Mathematics Framework Revised 23 b. Describe the effects of composition and decomposition of polygons when smaller shapes are substituted <span class="highlight">for</span> a larger shape or a larger shape is substituted <span class="highlight">for</span> smaller ones. (DOK 2) c. Identify and classify three-dimensional figures (cone, pyramid, and cylinder) according to their characteristics. (DOK 1) MEASUREMENT 4. Estimate, identify, and apply measurable attributes. a. Select appropriate tools and units, estimate, and measure
 Standard 1: Number and Operation
North Dakota Mathematics 90 April 2005 Content and Achievement Standards GLOSSARY Accuracy - The degree to which a measurement varies from an accepted standard. Algebraic methods - The use of symbols to represent numbers and signs to represent their relationships. Algebraic proof - A process of...
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North Dakota Mathematics 90 April 2005 Content and Achievement Standards GLOSSARY Accuracy - The degree to which a measurement varies from an accepted standard. Algebraic methods - The use of symbols to represent numbers and signs to represent their relationships. Algebraic proof - A process of using properties of the real number system to justify the steps in an algebraic procedure. Algorithm - A step-by-step procedure. Apothem - The perpendicular distance from the center to a
90 0 http://www.dpi.state.nd.us/standard/content/math/math.pdf#page=90 www.dpi.state.nd.us/standard/content/math/math.pdf#page=90
North Dakota Mathematics 90 April 2005 Content and Achievement Standards GLOSSARY Accuracy - The degree to which a measurement varies from an accepted standard. Algebraic methods - The use of symbols to represent numbers and signs to represent their relationships. Algebraic proof - A process of using properties of the real number system to justify the steps in an algebraic procedure. <span class="highlight">Algorithm</span> - A step-by-step procedure. Apothem - The perpendicular distance from the center to a
 CONTENts.PDF
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Earth causes earthquakes and volcanic eruptions; • describe the formation and movement of glaciers; • use maps (e.g., topographic, hydrographic, highway) to identify land features and their locations; (continued) K-12 PERFORMANCE STANDARDS Educational experiences in Grades 9-...
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Earth causes earthquakes and volcanic eruptions; • describe the formation and movement of glaciers; • use maps (e.g., topographic, hydrographic, highway) to identify land features and their locations; (continued) K-12 PERFORMANCE STANDARDS Educational experiences in Grades 9- 12 will assure that students: • illustrate how the formation, weathering, sedimentation and reformation of rock constitute a continuing “rock cycle;” • explain that the lithosphere consists of separate plates that ride
44 0 http://www.sde.ct.gov/sde/lib/sde/PDF/DEPS/Career/STC/contents_standards.pdf#page=44 www.sde.ct.gov/sde/lib/sde/PDF/DEPS/Career/STC/contents_standards.pdf#pag...
Earth causes earthquakes and volcanic eruptions; &bull; describe the formation and movement of glaciers; &bull; use <span class="highlight">maps</span> (e.g., <span class="highlight">topographic</span>, hydrographic, highway) to identify land features and their locations; (continued) K-12 PERFORMANCE STANDARDS Educational experiences in Grades 9- 12 will assure that students: &bull; illustrate how the formation, weathering, sedimentation and reformation of rock constitute a continuing &ldquo;rock cycle;&rdquo; &bull; explain that the lithosphere consists of separate plates that ride
45 0 http://www.sde.ct.gov/sde/lib/sde/PDF/DEPS/Career/STC/contents_standards.pdf#page=45 www.sde.ct.gov/sde/lib/sde/PDF/DEPS/Career/STC/contents_standards.pdf#pag...
more pollution than others. &bull; use <span class="highlight">maps</span> (e.g., <span class="highlight">topographic</span>, hydrographic, highway) to identify land features and their locations; &bull; recognize that some changes in the Earth&rsquo;s surface, such as earthquakes and volcanic eruptions, are abrupt, while other changes happen very slowly (e.g., uplift and wearing down of mountains); and &bull; explain how human activities (such as reducing the amount of forest cover, increasing the amount and variety of chemicals released into the atmosphere, and waste
 GRADE CWR
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identify implicit and explicit assumptions that have been made. In exploring minimum spanning tree situations students devise, analyze, and apply algorithms as they adopt strategies to confront the problem. Such strategies can lead to Kruskal’s algorithm, Prim’s algorithm,...
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identify implicit and explicit assumptions that have been made. In exploring minimum spanning tree situations students devise, analyze, and apply algorithms as they adopt strategies to confront the problem. Such strategies can lead to Kruskal’s algorithm, Prim’s algorithm, or the “nearest neighbor” algorithm. Example: • Susan is a city planner in charge of the development of roads for a recreational area. The graph shows locations in the area, the possible roads that could be built between locations
15 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeCWR.pdf#page=15 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
identify implicit and explicit assumptions that have been made. In exploring minimum spanning tree situations students devise, analyze, and apply algorithms as they adopt strategies to confront the problem. Such strategies can lead to Kruskal&rsquo;s <span class="highlight">algorithm</span>, Prim&rsquo;s <span class="highlight">algorithm</span>, or the &ldquo;nearest neighbor&rdquo; <span class="highlight">algorithm</span>. Example: &bull; Susan is a city planner in charge of the development of roads <span class="highlight">for</span> a recreational area. The graph shows locations in the area, the possible roads that could be built between locations
33 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeCWR.pdf#page=33 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
place <span class="highlight">for</span> the development of students' reasoning, higher thinking, and justification skills culminating in work with proofs. Geometric modeling and spatial reasoning offer ways to interpret and describe physical environments and can be important tools in problem solving. Students use geometric methods, properties and relationships, transformations, and coordinate geometry as a means to recognize, draw, describe, connect, analyze, and measure shapes and representations in the physical world. Measurement is
 Strand
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and mathematical problems involving whole numbers. Use various strategies, including the relationship between addition and subtraction, the use of technology, and the context of the problem to assess the reasonableness of results. For example: The calculation 117 – 83 = 34 can be check...
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and mathematical problems involving whole numbers. Use various strategies, including the relationship between addition and subtraction, the use of technology, and the context of the problem to assess the reasonableness of results. For example: The calculation 117 – 83 = 34 can be checked by adding 83 and 34. 3.1.2.3 Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line and skip counting
9 0 http://education.state.mn.us/mdeprod/groups/Standards/documents/LawStatute/035171.pdf#page=9 education.state.mn.us/mdeprod/groups/Standards/documents/LawStatute/03517...
and mathematical problems involving whole numbers. Use various strategies, including the relationship between addition and subtraction, the use of technology, and the context of the problem to assess the reasonableness of results. <span class="highlight">For</span> example: The calculation 117 &ndash; 83 = 34 can be checked by adding 83 and 34. 3.1.2.3 Represent multiplication facts by using a variety of approaches, such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number <span class="highlight">line</span> and skip counting
11 0 http://education.state.mn.us/mdeprod/groups/Standards/documents/LawStatute/035171.pdf#page=11 education.state.mn.us/mdeprod/groups/Standards/documents/LawStatute/03517...
perimeter as a measurable attribute of real- world and mathematical objects. Use various tools to measure distances. 3.3.2.3 Measure distances around objects. <span class="highlight">For</span> example: Measure the distance around a classroom, or measure a person's wrist size. 3.3.3.1 Tell time to the minute, using <span class="highlight">digital</span> and analog clocks. Determine elapsed time to the minute. <span class="highlight">For</span> example: Your trip began at 9:50 a.m. and ended at 3:10 p.m. How long were you traveling? 3.3.3.2 Know relationships among units of time
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divisor, dividend, and quotient in terms of multiplication and division. GLE 0506.2.4 Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm. GLE 0506.2.5 Develop fluency in solving multi-step problems using whole numb...
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divisor, dividend, and quotient in terms of multiplication and division. GLE 0506.2.4 Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm. GLE 0506.2.5 Develop fluency in solving multi-step problems using whole numbers, fractions, mixed numbers, and decimals. Checks for Understanding (Formative/Summative Assessment): #0;9 0506.2.1 Identify prime numbers up to 50. #0;9 0506.2.2 Use the prime factorization of two whole numbers
2 0 http://www.state.tn.us/education/ci/math/doc/MA_Grade_5.pdf#page=2 www.state.tn.us/education/ci/math/doc/MA_Grade_5.pdf#page=2
divisor, dividend, and quotient in terms of multiplication and division. GLE 0506.2.4 Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the <span class="highlight">algorithm</span>. GLE 0506.2.5 Develop fluency in solving multi-step problems using whole numbers, fractions, mixed numbers, and decimals. Checks <span class="highlight">for</span> Understanding (Formative/Summative Assessment): #0;9 0506.2.1 Identify prime numbers up to 50. #0;9 0506.2.2 Use the prime factorization of two whole numbers
 GRADE 2
Explanations and Examples Students are expected to: PO 3. Construct simple vertex-edge graphs from simple pictures or maps. Connections: M02-S2C4-02 M02-S5C2-04. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. Students are int...
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Explanations and Examples Students are expected to: PO 3. Construct simple vertex-edge graphs from simple pictures or maps. Connections: M02-S2C4-02 M02-S5C2-04. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. Students are introduced to the connection between coloring pictures/maps and vertex-edge graphs. This introduction will lead to using vertex-edge graphs to solve problems (conflict resolution, shortest path, minimum spanning tree
18 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade2.pdf#page=18 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
Explanations and Examples Students are expected to: PO 3. Construct simple vertex-edge graphs from simple pictures or <span class="highlight">maps</span>. Connections: M02-S2C4-02 M02-S5C2-04. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. Students are introduced to the connection between coloring pictures/<span class="highlight">maps</span> and vertex-edge graphs. This introduction will lead to using vertex-edge graphs to solve problems (conflict resolution, shortest path, minimum spanning tree
 Microsoft Word - 2912516B.doc
New York State Learning Standard for Mathematics Page 31 Revised by NYS Board of Regents March 15, 2005 Geometric 2.G.4 Group objects by like properties Relationships Students will apply transformations and symmetry to analyze problem solving situations. Transformational 2.G.5 Explore...
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New York State Learning Standard for Mathematics Page 31 Revised by NYS Board of Regents March 15, 2005 Geometric 2.G.4 Group objects by like properties Relationships Students will apply transformations and symmetry to analyze problem solving situations. Transformational 2.G.5 Explore and predict the outcome of slides, flips, and turns of two- Geometry dimensional shapes 2.G.6 Explore line symmetry Measurement Strand
34 0 http://www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=34 www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=34
New York State Learning Standard <span class="highlight">for</span> Mathematics Page 31 Revised by NYS Board of Regents March 15, 2005 Geometric 2.G.4 Group objects by like properties Relationships Students will apply transformations and symmetry to analyze problem solving situations. Transformational 2.G.5 Explore and predict the outcome of slides, flips, and turns of two- Geometry dimensional shapes 2.G.6 Explore <span class="highlight">line</span> symmetry Measurement Strand
 Microsoft Word - mathsol2009.doc
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Mathematics Standards of Learning for Virginia Public Schools – February 2009 9 3.7 The student will add and subtract proper fractions having like denominators of 12 or less. Measurement Focus: U.S. Customary and Metric Units, Area and Perimeter, and Time 3.8 The student will determine,...
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Mathematics Standards of Learning for Virginia Public Schools – February 2009 9 3.7 The student will add and subtract proper fractions having like denominators of 12 or less. Measurement Focus: U.S. Customary and Metric Units, Area and Perimeter, and Time 3.8 The student will determine, by counting, the value of a collection of bills and coins whose total value is $5.00 or less, compare the value of the bills and coins, and make change. 3.9 The student will estimate and use U.S. Customary and metric
12 0 http://www.doe.virginia.gov/VDOE/Superintendent/Sols/mathsol2009.pdf#page=12 www.doe.virginia.gov/VDOE/Superintendent/Sols/mathsol2009.pdf#page=12
Mathematics Standards of Learning <span class="highlight">for</span> Virginia Public Schools &ndash; February 2009 6 2.6 The student, given two whole numbers whose sum is 99 or less, will a) estimate the sum; and b) find the sum, using various methods of calculation. 2.7 The student, given two whole numbers, each of which is 99 or less, will a) estimate the difference; and b) find the difference, using various methods of calculation. 2.8 The student will create and solve one- and two-step addition and subtraction problems, using data
15 0 http://www.doe.virginia.gov/VDOE/Superintendent/Sols/mathsol2009.pdf#page=15 www.doe.virginia.gov/VDOE/Superintendent/Sols/mathsol2009.pdf#page=15
Mathematics Standards of Learning <span class="highlight">for</span> Virginia Public Schools &ndash; February 2009 9 3.7 The student will add and subtract proper fractions having like denominators of 12 or less. Measurement Focus: U.S. Customary and Metric Units, Area and Perimeter, and Time 3.8 The student will determine, by counting, the value of a collection of bills and coins whose total value is $5.00 or less, compare the value of the bills and coins, and make change. 3.9 The student will estimate and use U.S. Customary and metric
 Mathematics Content Standards - Curriculum Frameworks (CA Dept of Education)
60 GLOSSARY Glossary absolute value. A number’s distance from zero on the number line. The absolute value of -4 is 4; the absolute value of 4 is 4. algorithm. An organized procedure for perform­ ing a given type of calculation or solving a given type of problem. An exa...
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60 GLOSSARY Glossary absolute value. A number’s distance from zero on the number line. The absolute value of -4 is 4; the absolute value of 4 is 4. algorithm. An organized procedure for perform­ ing a given type of calculation or solving a given type of problem. An example is long division. arithmetic sequence. A sequence of elements, a 1 , a 2 , a , .␣ .␣ . , such that the difference of 3 successive terms is a constant a +␣ − a = k; i 1 i for example, the sequence {2, 5, 8, 11, 14
69 0 http://www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=69 www.cde.ca.gov/be/st/ss/documents/mathstandard.pdf#page=69
60 GLOSSARY Glossary absolute value. A number&rsquo;s distance from zero on the number <span class="highlight">line</span>. The absolute value of -4 is 4; the absolute value of 4 is 4. <span class="highlight">algorithm</span>. An organized procedure <span class="highlight">for</span> perform&shy; ing a given type of calculation or solving a given type of problem. An example is long division. arithmetic sequence. A sequence of elements, a 1 , a 2 , a , .&#9251; .&#9251; . , such that the difference of 3 successive terms is a constant a +&#9251; &minus; a = k; i 1 i <span class="highlight">for</span> example, the sequence {2, 5, 8, 11, 14
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