Student Learning Standards

Mathematics State Goal 6:

Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

 

State Standards

 A.   Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

  B.   Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships. 

  C.   Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

  D.   Solve problems using comparison of quantities, ratios, proportions, and percents.

 

Learner Statements

 1.A.   Solve practical problems involving whole numbers, integers, and rational numbers

  2.A.   Recognize basic arithmetic operations and number properties, including commutative, associative, distributive, identity, inverse, order of operations, and zero

  3.B.   Solve practical problems involving whole numbers, integers, and rational numbers

  4.B.   Write, evaluate, and simplify algebraic expressions

  5.B.   Identify and apply properties of real numbers, including pi, squares, and square roots

  6.C.   Develop and use strategies to estimate the results of rational-number computations, and judge the reasonableness of the results

 

 


Mathematics State Goal 7:

Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

 

 State Standards

 A.   Measure and compare quantities using appropriate units, instruments and methods.

  B.   Estimate measurements and determine acceptable levels of accuracy. 

  C.   Select and use appropriate technology, instruments and formulas to solve problems, interpret results and communicate findings.

 

Learner Statements

 1.A.   Apply formulas in a variety of real-world measurement applications

  2.C.   Interpret scale drawings and models using maps

  3.C.   Use calculators and computers appropriately when solving problems

  4.B.   Estimate measurements and determine acceptable levels of accuracy

  5.C.   Solve simple problems involving rates and derived measurements for such attributes as velocity and density

 

 


Mathematics State Goal 8:

Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

 

State Standards

 A.   Describe numerical relationships using variables and patterns.

  B.   Interpret and describe numerical relationships using tables, graphs and symbols. 

  C.   Solve problems using systems of numbers and their properties.

  D.   Use algebraic concepts and procedures to represent and solve problems.

 

Learner Statements

 1.A.   Evaluate variable expressions involving rational numbers

  2.B.   Solve problems using variables, expressions, equations, and inequalities using graphs and tables

  3.C.   Simplify expressions using the product of powers rule and the properties of multiplication

  4.C.   Recognize and compare rational numbers, integers, and find opposites and absolute values

  5.C.   Use graphing technology and algebraic methods to analyze and predict results of linear relationships

 

 


Mathematics State Goal 9:

Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes, and space.

 

 State Standards

 A.   Demonstrate and apply geometric concepts involving points, lines, planes and space.

  B.   Identify, describe, classify and compare relationships using points, lines, planes and solids. 

  C.   Construct convincing arguments and proofs to solve problems.

  D.   Use trigonometric ratios and circular functions to solve problems.

 

Learner Statements

 1.A.   Find and solve problems using perimeter, circumference, and area using basic geometric properties and formulas

  2.A.   Find surface area of a prism and cylinder

  3.A.   Find volumes of prisms, pyramids, cylinders, and cones

  4.A.   Use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle

 

 


Mathematics State Goal 10:

Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

 

 State Standards

 A.   Organize, describe and make predictions from existing data.

  B.   Formulate questions, design data collection methods, gather and analyze data and communicate findings. 

  C.   Determine, describe and apply the probabilities of events.

 

Learner Statements

 1.A.   Test the reasonableness of an argument based on data and be able to communicate findings

  2.C.   Compute probabilities for simple compound events using organized lists, tree diagrams, and area models

  3.B.   Formulate questions, design studies, and gather data to answer relevant questions and communicate results and conclusions using traditional methods and current technology

 

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