MAT 116 - Elementary Educators Math II

1. Demonstrate number sense with respect to fractions, decimals, percents, and integers
   1. Represent decimals with models
   2. Recognize equivalent representations for the same number
   3. Generate equivalent representations for the same number
   4. Demonstrate an understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers
   5. Judge the size of fractions using models, benchmarks, and equivalent forms
   6. use ratios and proportions to represent quantitative relationships
   7. Develop numbers less than 0 by extending the number line and though familiar applications
2. Compare the processes used by children to compute fluently and to make reasonable estimates with fractions, decimals, percents, and integers
   1. Develop the meanings of operations with rational numbers and how they relate to one another
   2. Use concepts from number theory such as factors, multiples, prime factorization, and relatively prime numbers to solve problems
   3. Use properties such as the distributivity of multiplication over addition
   4. Apply student developed algorithms for operations with rationals
   5. Apply standard algorithms for operations with rationals
   6. Solve problems involving proportions, such as scaling and finding equivalent ratios
   7. Develop the meaning of percents
   8. Solve problems involving percents
   9. Develop strategies to estimate results of computations and to judge the reasonableness of the results
   10. Use appropriate methods and tools for computing with fractions, decimals, percents, and integers from among mental computation, estimation, calculators and paper and pencil according to the context and nature of the computation
3. Recognize geometry as measurement
   1. Use geometric models to answer questions in mathematics
   2. Solve problems concerning the perimeter of plane figures including circles
   3. Solve problems concerning the area of geometric figures, including circles, parallelograms, and trapezoids, and irregularly shaped figures
   4. Solve problems concerning the surface area of geometric figures, including spheres, cones, cylinders, pyramids, prisms, and irregularly shaped objects
   5. Solve problems concerning the volume of geometric figures, including spheres, cones, cylinders, pyramids, prisms, and irregularly shaped objects
   6. Use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume
   7. Use common benchmarks to estimate measurements
4. Develop statistical concepts
   1. Formulate questions that can be addressed with data
   2. Design investigations to address a question
   3. Collect data using observations, or surveys or experiments
   4. Represent data using tables and graphs such as scatter plots, stem and leaf plots, and histograms
   5. Analyze data using appropriate statistical methods
   6. Propose and justify conclusions and predictions that are based on data
   7. Propose and justify conclusions and predictions that are based on data
   8. Compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models
   9. Use data and probability to measure uncertainty