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Glossary 43 Coordinates: A pair of numbers used to describe the location of a point on a coordinate plane. Counterexample: An example that proves a statement false. Cube: A three-dimensional figure that has six square faces. Customary Systems: A measuring system used mainly in the...
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Glossary 43 Coordinates: A pair of numbers used to describe the location of a point on a coordinate plane. Counterexample: An example that proves a statement false. Cube: A three-dimensional figure that has six square faces. Customary Systems: A measuring system used mainly in the United States using units such as inches and feet. Data: Information, facts, or numbers used to describe something. Data Analysis: A process of collecting and organizing data in order to identify
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http://www.doe.nv.gov/Standards/Mathematics/New_Nevada_Math_Standards_Complete_Document_6.29.06_PDF.pdf#page=50
www.doe.nv.gov/Standards/Mathematics/New_Nevada_Math_Standards_Complete_D...
Glossary 43 Coordinates: A pair <span class="highlight">of</span> numbers used to describe the location <span class="highlight">of</span> a point on a coordinate plane. Counterexample: An example that proves a statement false. Cube: A three-dimensional figure that has six square faces. Customary Systems: A measuring system used mainly in the United States using units such as inches and feet. Data: <span class="highlight">Information</span>, facts, or numbers used to describe something. Data <span class="highlight">Analysis</span>: A process <span class="highlight">of</span> collecting and organizing data in order to identify
Speaking Standard 3
slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21) 3. List the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes...
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slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21) 3. List the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person’s hand once). 4.4.6 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Devise strategies for winning simple games (e.g., start with two piles of objects
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=38
www.nj.gov/education/cccs/2004/s4_math.pdf#page=38
describe practical sets <span class="highlight">of</span> directions (e.g., to add two 2-digit numbers). 2. Explore vertex-<span class="highlight">edge</span> graphs • Vertex, <span class="highlight">edge</span> • Path 3. Find the smallest number <span class="highlight">of</span> colors needed to color a map. Building upon knowledge and skills gained in preceding grades, by the end <span class="highlight">of</span> Grade 4, students will: 4.4.4 A. Data <span class="highlight">Analysis</span> 1. Collect, generate, organize, and display data in response to questions, claims, or curiosity. • Data collected from the school environment 2. Read, interpret, construct, analyze
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=39
www.nj.gov/education/cccs/2004/s4_math.pdf#page=39
as shape or color, and relationships. • Venn diagrams • Numerical and alphabetical order 2. Represent all possibilities <span class="highlight">for</span> a simple counting situation in an organized way and draw conclusions from this representation. • Organized lists, charts, tree diagrams • Dividing into categories (e.g., to find the total number <span class="highlight">of</span> rectangles in a grid, find the number <span class="highlight">of</span> rectangles <span class="highlight">of</span> each size and add the results) 4.4.4 D. Discrete Mathematics—Vertex-<span class="highlight">Edge</span> Graphs and Algorithms 1. Follow, devise, and
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=40
www.nj.gov/education/cccs/2004/s4_math.pdf#page=40
shirts and 4 skirts). 4.4.5 D. Discrete Mathematics—Vertex-<span class="highlight">Edge</span> Graphs and Algorithms 1. Devise strategies <span class="highlight">for</span> winning simple games (e.g., start with two piles <span class="highlight">of</span> objects, each <span class="highlight">of</span> two players in turn removes any number <span class="highlight">of</span> objects from a single pile, and the person to take the last group <span class="highlight">of</span> objects wins) and express those strategies as sets <span class="highlight">of</span> directions. Building upon knowledge and skills gained in preceding grades, by the end <span class="highlight">of</span> Grade 6, students will: 4.4.6 A. Data <span class="highlight">Analysis</span> 1. Collect
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http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=41
www.nj.gov/education/cccs/2004/s4_math.pdf#page=41
slate <span class="highlight">of</span> officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21) 3. List the possible combinations <span class="highlight">of</span> two elements chosen from a given set (e.g., forming a committee <span class="highlight">of</span> two from a group <span class="highlight">of</span> 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person’s hand once). 4.4.6 D. Discrete Mathematics—Vertex-<span class="highlight">Edge</span> Graphs and Algorithms 1. Devise strategies <span class="highlight">for</span> winning simple games (e.g., start with two piles <span class="highlight">of</span> objects
Microsoft Word - K-8 Mathematics Curriculum Framework.doc
experiment Explicit A formula whose dependent variable is defined in terms of the independent variable Ex. y = 2x – 3 Exponential form A quantity expressed as a number raised to a power (In exponential form, 32 can be written as 2 5 .) Face A two-dimensional side of...
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experiment Explicit A formula whose dependent variable is defined in terms of the independent variable Ex. y = 2x – 3 Exponential form A quantity expressed as a number raised to a power (In exponential form, 32 can be written as 2 5 .) Face A two-dimensional side of a three-dimensional figure Ex. The faces of a cube are squares. Factor One of two or more numbers that are multiplied together to get a product (13 and 4 are both factors of 52 because 13 • 4 = 52.) Flip (Reflection) (See
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http://arkansased.org/teachers/pdf/k8_math_may05.pdf#page=70
arkansased.org/teachers/pdf/k8_math_may05.pdf#page=70
experiment Explicit A formula whose dependent variable is defined in terms <span class="highlight">of</span> the <span class="highlight">independent</span> variable Ex. y = 2x – 3 Exponential form A quantity expressed as a number raised to a power (In exponential form, 32 can be written as 2 5 .) <span class="highlight">Face</span> A two-dimensional side <span class="highlight">of</span> a three-dimensional figure Ex. The faces <span class="highlight">of</span> a cube are squares. Factor One <span class="highlight">of</span> two or more numbers that are multiplied together to get a product (13 and 4 are both factors <span class="highlight">of</span> 52 because 13 • 4 = 52.) Flip (Reflection) (See
GRADE 7
counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the...
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counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving paths, networks, and relationships among a finite number of objects. Concept 1: Data Analysis (Statistics) Understand and apply data
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade7.pdf#page=10
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
counting, and the study <span class="highlight">of</span> graphs. This prepares students <span class="highlight">for</span> the study <span class="highlight">of</span> discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch <span class="highlight">of</span> mathematics that is widely used in business and industry. Combinatorics is the mathematics <span class="highlight">of</span> systematic counting. Vertex-<span class="highlight">edge</span> graphs are used to model and solve problems involving paths, networks, and relationships among a finite number <span class="highlight">of</span> objects. Concept 1: Data <span class="highlight">Analysis</span> (Statistics) Understand and apply data
GRADE CWR
and Examples Students are expected to: PO 2. Understand, analyze, and apply vertex-edge graphs to model and solve problems related to paths, circuits, networks, and relationships among a finite number of elements, in real-world and abstract settings. Connections: MCWR-S2C4-01, MCWR-...
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and Examples Students are expected to: PO 2. Understand, analyze, and apply vertex-edge graphs to model and solve problems related to paths, circuits, networks, and relationships among a finite number of elements, in real-world and abstract settings. Connections: MCWR-S2C4-01, MCWR- S2C4-03, MCWR-S2C4-04, SSHS-S4C1- 03 MCWR-S5C2-01. Analyze a problem situation, determine the question(s) to be answered, organize given information, determine how to represent the problem, and identify
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeCWR.pdf#page=15
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
and Examples Students are expected to: PO 2. Understand, analyze, and apply vertex-<span class="highlight">edge</span> graphs to model and solve problems related to paths, circuits, networks, and relationships among a finite number <span class="highlight">of</span> elements, in real-world and abstract settings. Connections: MCWR-S2C4-01, MCWR- S2C4-03, MCWR-S2C4-04, SSHS-S4C1- 03 MCWR-S5C2-01. Analyze a problem situation, determine the question(s) to be answered, organize given <span class="highlight">information</span>, determine how to represent the problem, and identify
GRADE 2
Explanations and Examples Students are expected to: PO 2. Build vertex-edge graphs using concrete materials and explore simple properties of vertex-edge graphs • number of vertices and edges, • neighboring vertices, and • paths in a graph. Connections: M...
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Explanations and Examples Students are expected to: PO 2. Build vertex-edge graphs using concrete materials and explore simple properties of vertex-edge graphs • number of vertices and edges, • neighboring vertices, and • paths in a graph. Connections: M02-S2C4-03 A vertex-edge graph is a collection of vertices and edges. A vertex is a point/dot that represents an object or location. An edge connects two vertices and represents some relationship between them. The vertex-edge graph below has 4
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade2.pdf#page=17
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
Explanations and Examples Students are expected to: PO 2. Build vertex-<span class="highlight">edge</span> graphs using concrete materials and explore simple properties <span class="highlight">of</span> vertex-<span class="highlight">edge</span> graphs • number <span class="highlight">of</span> vertices and edges, • neighboring vertices, and • paths in a graph. Connections: M02-S2C4-03 A vertex-<span class="highlight">edge</span> graph is a collection <span class="highlight">of</span> vertices and edges. A vertex is a point/dot that represents an object or location. An <span class="highlight">edge</span> connects two vertices and represents some relationship between them. The vertex-<span class="highlight">edge</span> graph below has 4
THIRD GRADE
teachers should review previously taught skills and objectives with a focus on increasing complexity. The term “text,” as it is used throughout the Language Arts Framework, is defined as “a segment of spoken or written language available for description or analysi...
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teachers should review previously taught skills and objectives with a focus on increasing complexity. The term “text,” as it is used throughout the Language Arts Framework, is defined as “a segment of spoken or written language available for description or analysis.” For the purposes of this document, text may include written materials, teacher read or taped passages, visual images, or film. While competencies for grades K-3 remain identical, objectives require an extension of knowledge and broader
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http://www.mde.k12.ms.us/ACAD/ID/Curriculum/LAER/LA_Framework_2006_Revised/LA_2nd_grade_framework.pdf#page=1
www.mde.k12.ms.us/ACAD/ID/Curriculum/LAER/LA_Framework_2006_Revised/LA_2n...
teachers should review previously taught skills and objectives with a focus on increasing complexity. The term “text,” as it is used throughout the Language Arts Framework, is defined as “a segment <span class="highlight">of</span> spoken or written language available <span class="highlight">for</span> description or <span class="highlight">analysis</span>.” <span class="highlight">For</span> the purposes <span class="highlight">of</span> this document, text may include written materials, teacher read or taped passages, visual images, or film. While competencies <span class="highlight">for</span> grades K-3 remain identical, objectives require an extension <span class="highlight">of</span> knowledge and broader
GRADE 3
counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the...
1
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counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving paths, networks, and relationships among a finite number of objects. Concept 1: Data Analysis (Statistics) Understand and apply data
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade3.pdf#page=15
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
counting, and the study <span class="highlight">of</span> graphs. This prepares students <span class="highlight">for</span> the study <span class="highlight">of</span> discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch <span class="highlight">of</span> mathematics that is widely used in business and industry. Combinatorics is the mathematics <span class="highlight">of</span> systematic counting. Vertex-<span class="highlight">edge</span> graphs are used to model and solve problems involving paths, networks, and relationships among a finite number <span class="highlight">of</span> objects. Concept 1: Data <span class="highlight">Analysis</span> (Statistics) Understand and apply data
GRADE 8
of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of s...
1
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of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving paths, networks, and relationships among a finite number of objects. Concept 1: Data Analysis (Statistics) Understand and apply data collection
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade8.pdf#page=7
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
<span class="highlight">of</span> graphs. This prepares students <span class="highlight">for</span> the study <span class="highlight">of</span> discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch <span class="highlight">of</span> mathematics that is widely used in business and industry. Combinatorics is the mathematics <span class="highlight">of</span> systematic counting. Vertex-<span class="highlight">edge</span> graphs are used to model and solve problems involving paths, networks, and relationships among a finite number <span class="highlight">of</span> objects. Concept 1: Data <span class="highlight">Analysis</span> (Statistics) Understand and apply data collection
GRADE 5
and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathemati...
1
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and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving paths, networks, and relationships among a finite number of objects. Concept 1: Data Analysis (Statistics) Understand and apply data
9
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http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade5.pdf#page=9
www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...
and the study <span class="highlight">of</span> graphs. This prepares students <span class="highlight">for</span> the study <span class="highlight">of</span> discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch <span class="highlight">of</span> mathematics that is widely used in business and industry. Combinatorics is the mathematics <span class="highlight">of</span> systematic counting. Vertex-<span class="highlight">edge</span> graphs are used to model and solve problems involving paths, networks, and relationships among a finite number <span class="highlight">of</span> objects. Concept 1: Data <span class="highlight">Analysis</span> (Statistics) Understand and apply data
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