| Area |
Goal |
Standard |
Benchmark |
Benchmark Number |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Describe numerical relationships using variables and patterns. |
Construct and solve number sentences using a variable to represent an unknown quantity. |
8.A.2b |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Describe numerical relationships using variables and patterns. |
Apply the basic properties of commutative, associative, distributive, transitive, inverse, identity, zero, equality and order of operations to solve problems. |
8.A.3a |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Describe numerical relationships using variables and patterns. |
Solve problems using linear expressions, equations and inequalities. |
8.A.3b |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Describe numerical relationships using variables and patterns. |
Use algebraic methods to convert repeating decimals to fractions. |
8.A.4a |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Describe numerical relationships using variables and patterns. |
Represent mathematical patterns and describe their properties using variables and mathematical symbols. |
8.A.4b |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Describe numerical relationships using variables and patterns. |
Solve mathematical problems involving recursive patterns and use models that employ such relationships. |
8.A.5 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Interpret and describe numerical relationships using tables, graphs and symbols. |
Solve problems involving pattern identification and completion of patterns. |
8.B.1 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Interpret and describe numerical relationships using tables, graphs and symbols. |
Analyze a geometric pattern and express the results numerically. |
8.B.2 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Interpret and describe numerical relationships using tables, graphs and symbols. |
Use graphing technology and algebraic methods to analyze and predict linear relationships and make generalizations from linear patterns. |
8.B.3 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Interpret and describe numerical relationships using tables, graphs and symbols. |
Represent algebraic concepts with physical materials, words, diagrams, tables, graphs, equations and inequalities and use appropriate technology. |
8.B.4a |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Interpret and describe numerical relationships using tables, graphs and symbols. |
Use the basic functions of absolute value, square root, linear, quadratic and step to describe numerical relationships. |
8.B.4b |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Interpret and describe numerical relationships using tables, graphs and symbols. |
Use functions including exponential, polynomial, rational, parametric, logarithmic, and trigonometric to describe numerical relationships. |
8.B.5 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Solve problems using systems of numbers and their properties. |
Describe the basic arithmetic operations (addition, subtraction, multiplication, division) orally, in writing and using concrete materials and drawings. |
8.C.1 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Solve problems using systems of numbers and their properties. |
Explain operations and number properties including commutative, associative, distributive, transitive, zero, equality and order of operations. |
8.C.2 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Solve problems using systems of numbers and their properties. |
Apply the properties of numbers and operations including inverses in algebraic settings derived from economics, business and the sciences. |
8.C.3 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Solve problems using systems of numbers and their properties. |
Analyze and report the effects of changing coefficients, exponents and other parameters on functions and their graphs. |
8.C.4a |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Solve problems using systems of numbers and their properties. |
Apply algebraic properties and procedures with matrices, vectors, functions and sequences using data found in business, industry and consumer situations. |
8.C.4b |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Solve problems using systems of numbers and their properties. |
Use polynomial, exponential, logarithmic and trigonometric functions to model situations. |
8.C.5 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Find the unknown numbers in whole-number addition, subtraction, multiplication and division situations. |
8.D.1 |
| MATHEMATICS |
Goal 8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. |
Use algebraic concepts and procedures to represent and solve problems. |
Solve linear equations involving whole numbers. |
8.D.2 |
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