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Education
Web
 GRADE 5
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 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> 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 5, students
Microsoft Word - Math GLE 9-12 8-08.doc
expectations, all students in Grade 11 will be able to: Building upon the K-11 expectations, all student in Grade 12 will be able to: Collect: • Describe and explain how the validity of predictions are affected by number of trials, sample size, and the population Represent:...
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expectations, all students in Grade 11 will be able to: Building upon the K-11 expectations, all student in Grade 12 will be able to: Collect: • Describe and explain how the validity of predictions are affected by number of trials, sample size, and the population Represent: • Select and interpret the most appropriate display for a given purpose and set(s) of data (e.g., histograms, parallel box plots, stem-and-leaf plots, scatter plots) • Find an appropriate mathematical model of a linear or
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http://www.doe.k12.de.us/infosuites/staff/ci/content_areas/files/Math%20GLE%209-12%208-08.pdf#page=9
www.doe.k12.de.us/infosuites/staff/ci/content_areas/files/Math%20GLE%209-...
expectations, all students in Grade 11 will be able to: Building upon the K-11 expectations, all student in Grade 12 will be able to: Collect: • Describe and explain how the validity <span class="highlight">of</span> predictions are affected by number <span class="highlight">of</span> trials, <span class="highlight">sample</span> size, and the population Represent: • Select and interpret the most appropriate display for a given purpose and set(s) <span class="highlight">of</span> data (e.g., histograms, parallel box plots, stem-and-leaf plots, scatter plots) • Find an appropriate mathematical <span class="highlight">model</span> <span class="highlight">of</span> a linear or
GRADE 1
and over again: ABCB, ABCB, ABCB, ABCB, ABCB, … PO 2. Recognize, describe, extend, create, and record growing patterns. Connections: M01-S1C1-01, M01-S1C1- 02, M01-S1C1-03, M01-S1C2-01, M01- S1C2-03 M01-S5C2-03. Select from a variety of problem-solving strategies and use one...
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and over again: ABCB, ABCB, ABCB, ABCB, ABCB, … PO 2. Recognize, describe, extend, create, and record growing patterns. Connections: M01-S1C1-01, M01-S1C1- 02, M01-S1C1-03, M01-S1C2-01, M01- S1C2-03 M01-S5C2-03. Select from a variety of problem-solving strategies and use one or more strategies to arrive at a solution. M01-S5C2-04. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. Growing patterns repeat the same process over
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade1.pdf#page=11
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
and over again: ABCB, ABCB, ABCB, ABCB, ABCB, … PO 2. Recognize, describe, extend, create, and record growing patterns. Connections: M01-S1C1-01, M01-S1C1- 02, M01-S1C1-03, M01-S1C2-01, M01- S1C2-03 M01-S5C2-03. Select from a variety <span class="highlight">of</span> problem-solving strategies and use <span class="highlight">one</span> or more strategies to arrive at a solution. M01-S5C2-04. Represent a problem situation <span class="highlight">using</span> any combination <span class="highlight">of</span> words, numbers, pictures, physical objects, or symbols. Growing patterns repeat the same process over
Understand patterns, relations, and functions
Number and Operations April, 2008 4 2. Understand meanings of operations and how they relate to one another Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 A *represent/ model a given situation involving addition and subtraction of whole nu...
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Number and Operations April, 2008 4 2. Understand meanings of operations and how they relate to one another Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 A *represent/ model a given situation involving addition and subtraction of whole numbers using pictures, objects, or symbols *represent/ model a given situation involving two-digit whole number addition or subtraction *represent/ model a given situation in- Volving multi- plication and
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http://dese.mo.gov/divimprove/curriculum/GLE/documents/ma_gle_2.0_k8_0408.pdf#page=4
dese.mo.gov/divimprove/curriculum/GLE/documents/ma_gle_2.0_k8_0408.pdf#pa...
Number and Operations April, 2008 4 2. Understand meanings <span class="highlight">of</span> operations and how they relate to <span class="highlight">one</span> another Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 A *represent/ <span class="highlight">model</span> a given situation involving addition and subtraction <span class="highlight">of</span> whole numbers <span class="highlight">using</span> pictures, objects, or symbols *represent/ <span class="highlight">model</span> a given situation involving two-digit whole number addition or subtraction *represent/ <span class="highlight">model</span> a given situation in- Volving multi- plication and
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http://dese.mo.gov/divimprove/curriculum/GLE/documents/ma_gle_2.0_k8_0408.pdf#page=24
dese.mo.gov/divimprove/curriculum/GLE/documents/ma_gle_2.0_k8_0408.pdf#pa...
Data and Probability April, 2008 24 4. Understand and apply basic concepts <span class="highlight">of</span> probability Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 A *describe the degree <span class="highlight">of</span> likelihood <span class="highlight">of</span> events <span class="highlight">using</span> such words as certain, equally likely and impossible use a <span class="highlight">model</span> (diagrams, list, <span class="highlight">sample</span> space, or area <span class="highlight">model</span>) to illustrate the possible outcomes <span class="highlight">of</span> an event use models to compute the probability
GRADE 2
M02-S1C2- 02, M02-S1C2-06, M02-S2C3-02, M02- S3C1-02, M02-S3C2-01, M02-S4C4-04 M02-S5C2-03. Select from a variety of problem-solving strategies and use one or more strategies to arrive at a solution. M02-S5C2-04. Represent a problem situation using any combination of w...
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M02-S1C2- 02, M02-S1C2-06, M02-S2C3-02, M02- S3C1-02, M02-S3C2-01, M02-S4C4-04 M02-S5C2-03. Select from a variety of problem-solving strategies and use one or more strategies to arrive at a solution. M02-S5C2-04. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols. Patterns involving numbers or symbols either repeat or grow. Students in K-1 have had many experiences with repeating patterns. In Grade 2, students should experience growth
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade2.pdf#page=20
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
M02-S1C2- 02, M02-S1C2-06, M02-S2C3-02, M02- S3C1-02, M02-S3C2-01, M02-S4C4-04 M02-S5C2-03. Select from a variety <span class="highlight">of</span> problem-solving strategies and use <span class="highlight">one</span> or more strategies to arrive at a solution. M02-S5C2-04. Represent a problem situation <span class="highlight">using</span> any combination <span class="highlight">of</span> words, numbers, pictures, physical objects, or symbols. Patterns involving numbers or symbols either repeat or grow. Students in K-1 have had many experiences with repeating patterns. In Grade 2, students should experience growth
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...
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
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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...
1
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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
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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
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
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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
GRADE HS
Concept 1: Patterns Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands. In Grades 9 and 10, students recognize sequences as arithmetic or geometric and use their algebraic skills to model, represent,...
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Concept 1: Patterns Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands. In Grades 9 and 10, students recognize sequences as arithmetic or geometric and use their algebraic skills to model, represent, and extend sequences. The representation and modeling of sequences will lead students to use their skills to solve problems in context in grades 11 and 12. Performance Objectives Process Integration Explanations and Examples
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeHS.pdf#page=12
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
the first row. The teacher then drew a red marble and gave it to a student in the second row. What was the theoretical probability <span class="highlight">of</span> the simulation? <span class="highlight">Model</span> this probability <span class="highlight">using</span> two different representations. (see representations in MHS-S2C2-01) PO 4. Explain and use the law <span class="highlight">of</span> large numbers (that experimental results tend to approach theoretical probabilities after a large number <span class="highlight">of</span> trials). MHS-S5C2-05. Summarize and communicate mathematical ideas <span class="highlight">using</span> formal and informal reasoning. The
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeHS.pdf#page=22
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
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 Grades 9 and 10, students recognize sequences as arithmetic or geometric and use their algebraic skills to <span class="highlight">model</span>, represent, and extend sequences. The representation and modeling <span class="highlight">of</span> sequences will lead students to use their skills to solve problems in context in grades 11 and 12. Performance Objectives Process Integration Explanations and Examples
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