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University of South Dakota Math 342 - Math Concepts II Concepts addressed: Informal Geometry and Measurement The students should review: 1. 2. 3. 4. 5. 6. 7. 8. Pure and real-world properties and relationships in figures and shapes in two and three dimensions a) Know how two figures can be congruent and/or similar b) Identify figures as concave or convex c) Know terms associated with shapes such as simple and closed Know the Pythagorean Theorem, distance formula, how to find the hypotenuse of a right triangle, and other formulas associated with geometry a) See chapter 11 in Billstein textbook Transformations a) See chapter 12 in Billstein textbook Geometric models a) Know the geometric shapes for 2-D and 3-D objects b) Triangles by sides and angles i. Quadrilaterals by shape and attributes (section 9.2 in Billstein textbook) ii. Know the terms associated with polynomials with five to ten sides Networks a) Review Euler network b) Know if a network is traversable (at most two odd vertices). See section 9.5 in Billstein textbook Standard units of measurements a) English i. Know the standard units for length, volume and weight ii. Convert from one unit to another unit iii. Length - inches, feet, yards, and miles iv. Volume - ounces, cups, pints, quarts, and gallons v. Weight - ounces, pounds, and tons b) Metric i. Know the prefixes for the six standard units ii. Convert from one unit to another Coordinate graphing a) Know the quadrants b) Plot points or ordered pairs c) Graph a line or function Perimeter, area, volume a) Perimeter - the sum of the length of the sides b) Circumference is the length around a circle 2πr or dπ Development of this review sheet was made possible by funding from the US Department of Education through South Dakota’s EveryTeacher Teacher Quality Enhancement grant. c) Area is always in square units d) Surface area is in square units and generally is the sum of the sides and the tops and bottoms(the sphere is an exception) e) Volume is always in cubic units f) All formulas can be found in chapter 11 in Billstein textbook 9. Rates a) b) 10. Angles a) b) Be able to find rates Solve rate problems Know complimentary and supplementary angles and their measure Angles formed by two lines cut by a transversal i. alternating interior, alternating exterior, corresponding angles c) Vertical angles are angles formed by two intersecting lines d) Identify other angles - straight, obtuse, acute and right e) See chapter 9 in Billstein textbook 11. Money, temperature, time a) Know our monetary system b) Be able to change from Celsius to Fahrenheit c) Be able to add and subtract time Development of this review sheet was made possible by funding from the US Department of Education through South Dakota’s EveryTeacher Teacher Quality Enhancement grant.