Maricopa.edu:: MCCCD Official Course Description for MAT081

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"Primary emphasis on conceptual understanding of and solving problems involving whole numbers, integers, mathematical operations, decimals, decimal operations, fractions, percentages, angles and geometric figures. Use of systems of measure, similarity, proportionality and the Pythagorean theorem. Focus on mathematical language, connections, patterns and reasoning, and additive and multiplicative reasoning."MCCCD Official Course Competencies

1. Construct number meanings for whole numbers and integers through real world experiences. 2. Use multiple frameworks to describe the meaning of whole number. 3. Use multiple solution strategies to solve a single problem. 4. Determine whether a result is reasonable in the context of a problem. 5. Use physical materials, pictures and diagrams to express mathematical ideas. 6. Use models, known facts, properties and relationships to reason mathematically. 7. Use patterns and relationships to analyze mathematical situations. 8. Model, solve, and interpret solutions to real world problems involving whole numbers and integers. 9. Reason additively and multiplicatively. 10. Derive number facts from known facts. 11. Model and discuss meaning for the operations in a variety of problem situations. 12. Relate the mathematical language and symbolism of operations to problem situations and informal language. 13. Illustrate and explain how addition, subtraction, multiplication and division are interrelated. 14. Construct fraction and decimal meanings through real world experiences. 15. Relate the mathematical language and symbolism of number and operations to problem situations and informal language. 16. Use multiple solution strategies to solve a single problem. 17. Determine whether a result is reasonable in the context of a problem. 18. Use physical materials, pictures and diagrams to express mathematical ideas. 19. Use models, known facts, properties and relationships to reason mathematically. 20. Use patterns and relationships to analyze mathematical situations. 21. Relate decimals to place value concepts. 22. Model and discuss meaning for the operations on decimals in a variety of problem situations. 23. Distinguish appropriate uses of additive and multiplicative reasoning. 24. Use multiple solution strategies to solve a single problem. 25. Determine whether a result is reasonable in the context of a problem. 26. Model, solve, and interpret solutions to real world problems involving fractions and percentages. 27. Analyze and compare multiple models to establish the meaning of fractional equivalence. 28. Perform operations on fractions. 29. Use multiple frameworks to describe the meaning of a fraction, including percentages. 30. Convert between decimals, fractions, and percentages. 31. Identify the unit quantified by each fraction/ratio/percent in context when problem solving. 32. Solve ratio and proportion applications, including percentages. 33. Analyze, compare and classify two-dimensional geometric figures by their definition, including squares, rectangles, triangles and circles. 34. Identify types of angles (right, acute, obtuse). 35. Model, solve and interpret solutions to real world problems. 36. Compare alternative solution strategies. 37. Communicate process and results in written and verbal formats. 38. Measure lengths by expressing the length as a number of copies of the standard length unit. 39. Measure areas by tiling a surface with unit squares. 40. Make connections between the array model for multiplication and area by understanding area as a geometric representation of multiplication. 41. Measure volumes by packing an object with unit cubes. 42. Measure perimeter, circumference, area and volume with the ability to explain the use of any formulas. 43. Use unit conversions, including conversions from two-dimensions to three-dimensions. 44. Evaluate similar figures by using the definition of similarity based on scale factor. 45. Utilize the definition of proportionality. 46. Evaluate proportions relating to geometric figures. 47. Evaluate arithmetic expressions involving square roots, radical and irrational numbers. 48. Evaluate situations using the Pythagorean Theorem.