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Scholastic: Making Space Shapes
Model Magic because it dries fast and holds really well.) Popsicle sticks Toothpicks Describe Your Shape (PDF) Set Up and Prepare Create a space shape ahead of time to use as an example. Photocopy Describe Your Shape (PDF). You can copy one or two for each student, but note t...
Microsoft Word  06.029.0007.doc
and paths. (iii) Recognize geometric shapes and structures (e.g., in the environment). (iv) Use geometric models to solve problems in other areas of mathematics (e.g., using arrays as models of multiplication or area). (v) Identify and build threedimensional objects f...
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and paths. (iii) Recognize geometric shapes and structures (e.g., in the environment). (iv) Use geometric models to solve problems in other areas of mathematics (e.g., using arrays as models of multiplication or area). (v) Identify and build threedimensional objects from twodimensional representations of that object. (vi
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http://www.nmcpr.state.nm.us/NMAC/parts/title06/06.029.0007.pdf#page=9
www.nmcpr.state.nm.us/NMAC/parts/title06/06.029.0007.pdf#page=9
and paths. (iii) Recognize geometric shapes and structures (e.g., in the environment). (iv) Use geometric models to solve problems in other <span class="highlight">areas</span> <span class="highlight">of</span> mathematics (e.g., <span class="highlight">using</span> arrays as models <span class="highlight">of</span> multiplication or area). (v) Identify and build threedimensional objects from twodimensional representations <span class="highlight">of</span> that object. (vi
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the area of a trapezoid to the area of a parallelogram. #0;9 0606.4.15 Find lengths given areas or volumes, and vice versa. #0;9 0606.4.16 Solve contextual problems involving area and circumference of circles, surface areas and volumes of prisms, pyramids, c...
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the area of a trapezoid to the area of a parallelogram. #0;9 0606.4.15 Find lengths given areas or volumes, and vice versa. #0;9 0606.4.16 Solve contextual problems involving area and circumference of circles, surface areas and volumes of prisms, pyramids, cones, and cylinders. #0;9 0606.4.17 Use manipulatives to discover the volume of a pyramid is onethird the volume of the related prism (the heights and base areas are equal). #0;9 0606.4.18 Use manipulatives to discover the volume of a cone is one
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http://www.state.tn.us/education/ci/math/doc/MA_Grade_6.pdf#page=1
www.state.tn.us/education/ci/math/doc/MA_Grade_6.pdf#page=1
multiplication, ^ for exponent), but use mathematical notation in written work. #0;9 0606.1.2 Recognize when an estimate is more appropriate than an exact answer in a variety <span class="highlight">of</span> problem situations. #0;9 0606.1.3 Recognize errors generated by rounding. #0;9 0606.1.4 Describe how changes in <span class="highlight">one</span> quantity or variable result in changes in another. #0;9 0606.1.5 Illustrate properties <span class="highlight">of</span> operations by showing that two expressions are equivalent in a given context (e.g., <span class="highlight">using</span> an area <span class="highlight">model</span> for distributive property, and
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http://www.state.tn.us/education/ci/math/doc/MA_Grade_6.pdf#page=4
www.state.tn.us/education/ci/math/doc/MA_Grade_6.pdf#page=4
the area <span class="highlight">of</span> a trapezoid to the area <span class="highlight">of</span> a parallelogram. #0;9 0606.4.15 Find lengths given <span class="highlight">areas</span> or volumes, and vice versa. #0;9 0606.4.16 Solve contextual problems involving area and circumference <span class="highlight">of</span> circles, surface <span class="highlight">areas</span> and volumes <span class="highlight">of</span> prisms, pyramids, cones, and cylinders. #0;9 0606.4.17 Use manipulatives to discover the volume <span class="highlight">of</span> a pyramid is <span class="highlight">one</span>third the volume <span class="highlight">of</span> the related prism (the heights and base <span class="highlight">areas</span> are equal). #0;9 0606.4.18 Use manipulatives to discover the volume <span class="highlight">of</span> a cone is <span class="highlight">one</span>
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of change in realworld problems; Sample Task: Use the Census Bureau website to find information regarding population patterns or economic data and display the results graphically. Linkages: Write about patterns in nature or other areas of science, and find and apply form...
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of change in realworld problems; Sample Task: Use the Census Bureau website to find information regarding population patterns or economic data and display the results graphically. Linkages: Write about patterns in nature or other areas of science, and find and apply formulas in business or science. Content Standard 3.0: Geometry Students will investigate, model, and apply geometric properties and relationships. Learning Expectations: The student will: 3.1 apply geometric properties
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http://www.state.tn.us/education/ci/math/doc/MA_3130.pdf#page=3
www.state.tn.us/education/ci/math/doc/MA_3130.pdf#page=3
<span class="highlight">of</span> change in realworld problems; <span class="highlight">Sample</span> Task: Use the Census Bureau website to find information regarding population patterns or economic data and display the results graphically. Linkages: Write about patterns in nature or other <span class="highlight">areas</span> <span class="highlight">of</span> science, and find and apply formulas in business or science. Content Standard 3.0: Geometry Students will investigate, <span class="highlight">model</span>, and apply geometric properties and relationships. Learning Expectations: The student will: 3.1 apply geometric properties
Microsoft Word  2912516B.doc
problems Students will understand how mathematical ideas interconnect and build on one another to produce a coherent whole. 8.CN.4 Model situations mathematically, using representations to draw conclusions and formulate new situations 8.CN.5 Understand how concepts, proced...
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problems Students will understand how mathematical ideas interconnect and build on one another to produce a coherent whole. 8.CN.4 Model situations mathematically, using representations to draw conclusions and formulate new situations 8.CN.5 Understand how concepts, procedures, and mathematical results in one area of mathematics can be used to solve problems in other areas of mathematics Students will recognize and apply mathematics in contexts outside of mathematics. 8.CN.6
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http://www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=75
www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=75
Connections Strand Students will recognize and use connections among mathematical ideas. 7.CN.1 Understand and make connections among multiple representations <span class="highlight">of</span> the same mathematical idea 7.CN.2 Recognize connections between subsets <span class="highlight">of</span> mathematical ideas 7.CN.3 Connect and apply a variety <span class="highlight">of</span> strategies to solve problems Students will understand how mathematical ideas interconnect and build on <span class="highlight">one</span> another to produce a coherent whole. 7.CN.4 <span class="highlight">Model</span> situations mathematically, <span class="highlight">using</span>
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http://www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=85
www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=85
problems Students will understand how mathematical ideas interconnect and build on <span class="highlight">one</span> another to produce a coherent whole. 8.CN.4 <span class="highlight">Model</span> situations mathematically, <span class="highlight">using</span> representations to draw conclusions and formulate new situations 8.CN.5 Understand how concepts, procedures, and mathematical results in <span class="highlight">one</span> area <span class="highlight">of</span> mathematics can be used to solve problems in other <span class="highlight">areas</span> <span class="highlight">of</span> mathematics Students will recognize and apply mathematics in contexts outside <span class="highlight">of</span> mathematics. 8.CN.6
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http://www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=95
www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=95
New York State Learning Standard for Mathematics Page 92 Revised by NYS Board <span class="highlight">of</span> Regents March 15, 2005 Students will understand how mathematical ideas interconnect and build on <span class="highlight">one</span> another to produce a coherent whole. A.CN.3 <span class="highlight">Model</span> situations mathematically, <span class="highlight">using</span> representations to draw conclusions and formulate new situations A.CN.4 Understand how concepts, procedures, and mathematical results in <span class="highlight">one</span> area <span class="highlight">of</span> mathematics can
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http://www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=108
www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=108
New York State Learning Standard for Mathematics Page 105 Revised by NYS Board <span class="highlight">of</span> Regents March 15, 2005 G.CN.3 <span class="highlight">Model</span> situations mathematically, <span class="highlight">using</span> representations to draw conclusions and formulate new situations G.CN.4 Understand how concepts, procedures, and mathematical results in <span class="highlight">one</span> area <span class="highlight">of</span> mathematics can be used to solve problems in other <span class="highlight">areas</span> <span class="highlight">of</span> mathematics G.CN.5 Understand how quantitative models connect to
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http://www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=120
www.emsc.nysed.gov/ciai/mst/math/documents/mathcore.pdf#page=120
corresponding procedures for similar problems or mathematical concepts Students will understand how mathematical ideas interconnect and build on <span class="highlight">one</span> another to produce a coherent whole. A2.CN.3 <span class="highlight">Model</span> situations mathematically, <span class="highlight">using</span> representations to draw conclusions and formulate new situations A2.CN.4 Understand how concepts, procedures, and mathematical results in <span class="highlight">one</span> area <span class="highlight">of</span> mathematics can be used to solve problems in other <span class="highlight">areas</span> <span class="highlight">of</span> mathematics A2.CN.5 Understand how quantitative
Math Final
18 WISCONSIN’S MODEL ACADEMIC STANDARDS ○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○&#...
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18 WISCONSIN’S MODEL ACADEMIC STANDARDS ○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○ Sample Proficiency Standards MATHEMATICS B. Number Operations and Relationships CONTENT STANDARD Students in Wisconsin will use numbers effectively for various purposes, such as counting, measuring, estimating, and problem solving. PERFORMANCE STANDARD B.4.5 In problem solving situations involving whole numbers, select and efficiently use appropriate computational procedures such as recalling the basic
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http://dpi.wi.gov/standards/pdf/math.pdf#page=1
dpi.wi.gov/standards/pdf/math.pdf#page=1
16 WISCONSIN’S <span class="highlight">MODEL</span> ACADEMIC STANDARDS ○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○ <span class="highlight">Sample</span> Proficiency Standards The following general statements reflect ratings <span class="highlight">of</span> student work created in response to a mathematically challenging task. Advanced Student work is distinguished in that it goes well beyond the criteria for Proficient in an insightful and creative ap proach to the task. It includes: • evidence <span class="highlight">of</span> reflection upon one’s work • multiple solutions and/or solution strategies
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http://dpi.wi.gov/standards/pdf/math.pdf#page=3
dpi.wi.gov/standards/pdf/math.pdf#page=3
18 WISCONSIN’S <span class="highlight">MODEL</span> ACADEMIC STANDARDS ○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○ <span class="highlight">Sample</span> Proficiency Standards MATHEMATICS B. Number Operations and Relationships CONTENT STANDARD Students in Wisconsin will use numbers effectively for various purposes, such as counting, measuring, estimating, and problem solving. PERFORMANCE STANDARD B.4.5 In problem solving situations involving whole numbers, select and efficiently use appropriate computational procedures such as recalling the basic
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http://dpi.wi.gov/standards/pdf/math.pdf#page=5
dpi.wi.gov/standards/pdf/math.pdf#page=5
20 WISCONSIN’S <span class="highlight">MODEL</span> ACADEMIC STANDARDS ○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○○ Basic All aspects <span class="highlight">of</span> the task are addressed but there is no <span class="highlight">recognition</span> that Toni has some impossible numbers. The explanation for Question 3 is clear and understandable, but shows some misconception that chance <span class="highlight">of</span> winning is based solely on a balance <span class="highlight">of</span> odd and even numbers, and not on choice <span class="highlight">of</span> sums that are more likely to occur than others.
GRADE 5
numbers, shapes, iteration, recursion, and graphs within a variety of realworld problem solving situations. Iteration and recursion are used to model sequential, stepbystep 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 realworld problem solving situations. Iteration and recursion are used to model sequential, stepbystep 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 5, students
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade5.pdf#page=19
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
numbers, shapes, iteration, recursion, and graphs within a variety <span class="highlight">of</span> realworld problem solving situations. Iteration and recursion are used to <span class="highlight">model</span> sequential, stepbystep 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 5, students
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• solve multistep linear inequalities in realworld situations; • analyze "families of functions" using technology; • determine the domain and/or range of a function represented by the graph of real world situations; • select the system...
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• solve multistep linear inequalities in realworld situations; • analyze "families of functions" using technology; • determine the domain and/or range of a function represented by the graph of real world situations; • select the system of equations that could be used to solve a given realworld problem; • find the solution to a quadratic equation given in standard form (integral solutions and a leading coefficient of one). Sample Task: Students use an
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http://www.state.tn.us/education/ci/math/doc/MA_3132.pdf#page=4
www.state.tn.us/education/ci/math/doc/MA_3132.pdf#page=4
• solve multistep linear inequalities in realworld situations; • analyze "families <span class="highlight">of</span> functions" <span class="highlight">using</span> technology; • determine the domain and/or range <span class="highlight">of</span> a function represented by the graph <span class="highlight">of</span> real world situations; • select the system <span class="highlight">of</span> equations that could be used to solve a given realworld problem; • find the solution to a quadratic equation given in standard form (integral solutions and a leading coefficient <span class="highlight">of</span> <span class="highlight">one</span>). <span class="highlight">Sample</span> Task: Students use an
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Root Theorem, and Synthetic Division). Sample Task: Examine patterns found in Pascal’s Triangle. Linkages: Mathematics: Statistics and Probability. Data analysis and pattern recognition in science. Standard 3.0: Geometry The student will: Learning Expectations: 3.1 apply and j...
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Root Theorem, and Synthetic Division). Sample Task: Examine patterns found in Pascal’s Triangle. Linkages: Mathematics: Statistics and Probability. Data analysis and pattern recognition in science. Standard 3.0: Geometry The student will: Learning Expectations: 3.1 apply and justify properties of quadrilaterals and circles; 3.2 solve real world problems involving volume of geometric solids;
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http://www.state.tn.us/education/ci/math/doc/MA_3134.pdf#page=3
www.state.tn.us/education/ci/math/doc/MA_3134.pdf#page=3
Root Theorem, and Synthetic Division). <span class="highlight">Sample</span> Task: Examine patterns found in Pascal’s Triangle. Linkages: Mathematics: Statistics and Probability. Data analysis and pattern <span class="highlight">recognition</span> in science. Standard 3.0: Geometry The student will: Learning Expectations: 3.1 apply and justify properties <span class="highlight">of</span> quadrilaterals and circles; 3.2 solve real world problems involving volume <span class="highlight">of</span> geometric solids;
Microsoft Word  2007 MS Math Framework Competencies and Objectives 91807.doc
2007 Mississippi Mathematics Framework Revised 74 STATISTICS Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Four major areas of concentration include data explorations, design of experiments, product...
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2007 Mississippi Mathematics Framework Revised 74 STATISTICS Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Four major areas of concentration include data explorations, design of experiments, production of models using probability, and simulation and statistical inference. Students are required to design, conduct, represent, and interpret statistical and probabilistic studies. The use of technology will be an
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http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%2091807.pdf#page=75
www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
2007 Mississippi Mathematics Framework Revised 74 STATISTICS Statistics introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Four major <span class="highlight">areas</span> <span class="highlight">of</span> concentration include data explorations, design <span class="highlight">of</span> experiments, production <span class="highlight">of</span> models <span class="highlight">using</span> probability, and simulation and statistical inference. Students are required to design, conduct, represent, and interpret statistical and probabilistic studies. The use <span class="highlight">of</span> technology will be an

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