Teacher Materials

Math Learning Goals
Meile's learning goals for the project map to the Idaho Math Performance Standards.

Key: (Roman numerals, numbers, and letters reference actual Idaho Standards)
ALL CAPS = BROAD MATHEMATICAL TOPIC AREAS
Bold = K-12 State Math Standards
a), b), c) in a yellow row = 8th Grade Content Knowledge and Skill Targets for Math
Italics = Represent teacher-selected specific performace objectives for project.
Investigating:
Learning the necessary preliminary content-specific skills
IV. CONCEPTS AND LANGUAGE OF ALGEBRA
   01. Use algebraic symbolism as a tool to represent mathematical relationships.
      a. Understand and use variables in expressions, equations, and inequalities.
      b. Translates word statements and story problems in to algebraic expressions and equations.
   03. Solve algebraic equations and inequalities
      c. Explore graphical representation of linear equations
            i. Use technology to create a graph of linear relations
V. CONCEPTS AND PRINCIPLES OF GEOMETRY
   01. Apply graphing in two dimensions.
VI. DATA ANALYSIS, PROBABILITY AND STATISTICS
   01. Understand data analysis
      a. Analyze and interpret tables, charts, and graphs
   02. Collect, organize and display data
      a. Collect and organize data, and display the data in tables, charts, and graphs, and graphs
   05. Make predictions or decisions based on data
VII. FUNCTIONS AND MATEHMATICAL MODELS
   01. Understands the concept of functions
      a. Analyze and interpret tables, charts, and graphs
      b. Understands and uses functional relationships to explain how a change in one quantity results in a change in another quantity
   02. Represents equations, inequalities, and functions in a variety of formats.
      a. Represent a set of data in a table, as a graph, and as a mathematical relationship.
   03. Apply functions to a variety of problems.
      a. Use patterns and functions to represent and solve problems.
 
Expanding:
 Building on knowledge and skills
II. MATHEMATICAL REASONING AND PROBLEM SOLVING
   01. Understand and use a variety of problem solving skills.
      a. Use a variety of methods including mathematical formulas to compute problems drawn from real-life Sstuations.
      b. Recognize pertinent information for problem solving.
   03. Apply appropriate technology and models to find solutions to problems.
      a. Understand the purpose and capabilities of appropriate technology.
      b. Use computer applications to display and manipulate data.
III. CONTENT AND PRINCIPLES OF MEASUREMENT
   01. Understand and use United States Customary and metric measurements
      a. Select and use appropriate units and tools to make measurements.
   02. Apply concepts of rates and other derived or indirect measurements.
      a. Use rates to make indirect measurements.
   04. Apply dimensional analysis.
      a. Understand units and their relationship to one another and to real world applications.
IV. CONCEPTS AND LANGUAGE OF ALGEBRA
   01. Use algebraic symbolism as a tool to represent mathematical relationships.
      a. Understand and use variables in expressions, equations, and inequalities.
      b. Translate word statements and story problems into algebraic expressions and equations.
   03. Solve algebraic equations and inequalities
      a. Solve one and two step equations and inequalities using inverse operations
V. CONCEPTS AND PRINCIPLES OF GEOMETRY
   02. Apply the geometry of right triangles
      a. Investigate right triangle geometry
VI. DATA ANALYSIS, PROBABILITY, AND STATISTICS
   02. Collect, organize, and display data
   03. Apply simple statistical measurements
       a. Appropriately calculates measures of central tendency-mean, median, and mode.
 
Applying:
 Utilizing skills in real-world processes
II. MATHEMATICAL REASONING AND PROBLEM SOLVING
   01. Understand and use a variety of problem solving skills.
      a. Use a variety of methods including mathematical formulas to compute problems drawn from real-life situations.
III. CONTENT AND PRINCIPLES OF MEASUREMENT
   01. Understand and use United States Customary and metric measurements
      a. Select and use appropriate units and tools to make measurements.
   02. Apply concepts of rates and other derived or indirect measurements.
      a. Use rates to make indirect measurements.
   03. Apply the concepts of ratios and proportions
      a. Understand and use proportions, ratios, and scales.
   04. Apply dimensional analysis.
      a. Understand units and their relationship to one another and to real world applications.
V. CONCEPTS AND PRINCIPLES OF GEOMETRY
   01. Apply concepts of size, shape, and spatial relationships
      a. Understand, model, and apply the effects of reflections, translations, and rotations on various shapes.