| National Mathematics Standards Addressed by SAGE III SOLAR |
| Standard |
Application |
| Number and Operations |
Perform operations using whole numbers, decimals, integers, and rational numbers. Estimate and determine reasonableness of results. Choose appropriate computational tools such as paper and pencil, calculator, or computer. |
| Algebra |
Describe and represent relationships using tables, graphs, and symbolic rules. Analyze functional relationships, such as linear, exponential, and logarithmic functions. Represent number patterns using tables, graphs, and rules. Use patterns and functions to model real-world phenomena and to solve problems. Interpret representations of functions of two variables. Approximate and interpret rates of change from graphical and numerical data. Solve equations and simplify expressions. |
| Geometry |
Use geometric models as a means of describing the physical world. Using sine, cosine, and tangent functions, apply trigonometry to problem situations involving triangles. Apply geometric relationships outside the classroom in other disciplines or in "everyday life" |
| Measurement |
Use both the customary and metric systems of measurement. Select and use appropriate measuring tools. Use measurement units and scales of appropriate size. Estimate, make, and use measurements to describe phenomena. Calculate measurements using formulas. |
| Data Analysis and Probability |
Collect and organize data. Select, create, and use appropriate graphical representations of data, such as scatterplots. Discuss correspondence between data sets and their graphical representation. Make predictions about possible relationships between variables based on scatterplots and lines of fit. |
| Problem Solving |
Learn content through exploration of problems and application of problem-solving strategies. Solve problems that arise in different contexts, such as in other disciplines or in the workplace. |
| Reasoning and Proof |
Examine patterns in real-work situations and make conjectures as to cause. Discuss and evaluate conjectures based on statistical data, graphical representation, or logical reasoning. |
| Communication |
Express investigative results in verbal communication, in writing, and electronically. Use teamwork to investigate a problem then collaborate with team members to form clearly expressed generalizations. Maintain a journal to include calculations, predictions, and explanations. Correctly use mathematical notation. Compare standard mathematical expressions with those used in calculators or spreadsheets. |
| Connections |
Use teamwork and collaboration to relate new observations to previous knowledge. Apply mathematical concepts across the mathematics curriculum and across multiple disciplines. For example, use an algorithm to answer an atmospheric question. Use mathematical ideas in real life situations rather than in isolation. For example, apply skills from algebra, trigonometry, and geometry to determine Atmospheric Optical Thickness. |
| Representation |
Describe results using graphical, numeric, physical, algebraic, and verbal mathematical models. Use representations found in electronic technologies such as 3-D graphics, spreadsheets, and dynamic software. Interpret symbolic information from a variety of printed and electronic sources. |
Ref: Principles and Standards for School Mathematics, by The National Council of Teachers of Mathematics, Inc., 2000.
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