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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
GRADE 1
and over again: ABCB, ABCB, ABCB, ABCB, ABCB, … PO 2. Recognize, describe, extend, create, and record growing patterns. Connections: M01S1C101, M01S1C1 02, M01S1C103, M01S1C201, M01 S1C203 M01S5C203. Select from a variety of problemsolving 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: M01S1C101, M01S1C1 02, M01S1C103, M01S1C201, M01 S1C203 M01S5C203. Select from a variety of problemsolving strategies and use one or more strategies to arrive at a solution. M01S5C204. 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: M01S1C101, M01S1C1 02, M01S1C103, M01S1C201, M01 S1C203 M01S5C203. Select from a variety <span class="highlight">of</span> problemsolving strategies and use <span class="highlight">one</span> or more strategies to arrive at a solution. M01S5C204. 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
GRADE 4
and Functions Patterns 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 realworld problem solving situations. Iteration and recur...
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and Functions Patterns 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 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
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade4.pdf#page=23
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
and Functions Patterns 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> 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
GRADE 2
M02S1C2 02, M02S1C206, M02S2C302, M02 S3C102, M02S3C201, M02S4C404 M02S5C203. Select from a variety of problemsolving strategies and use one or more strategies to arrive at a solution. M02S5C204. Represent a problem situation using any combination of w...
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M02S1C2 02, M02S1C206, M02S2C302, M02 S3C102, M02S3C201, M02S4C404 M02S5C203. Select from a variety of problemsolving strategies and use one or more strategies to arrive at a solution. M02S5C204. 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 K1 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...
M02S1C2 02, M02S1C206, M02S2C302, M02 S3C102, M02S3C201, M02S4C404 M02S5C203. Select from a variety <span class="highlight">of</span> problemsolving strategies and use <span class="highlight">one</span> or more strategies to arrive at a solution. M02S5C204. 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 K1 have had many experiences with repeating patterns. In Grade 2, students should experience growth
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 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...
1
0
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 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> 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 7, students
GRADE 6
relationships, and functions involving 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 fu...
1
0
relationships, and functions involving 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
21
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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> 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
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 realworld problem solving situations. Iteration and recursion are used to mod...
1
0
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 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
8
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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> 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
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 MHSS2C201) 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). MHSS5C205. 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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