Grade Level & Subject: Math 8 (PreAlgebra)		Curriculum Map	Year 2003
Calendar	November	December	January
	Second Nine Weeks – November - January
Possible Resources	Saxon Algebra ½: An Incremental Development Third Edition (2001) (Anchor Text) Lessons 26-45 (pages 87-147) AMATH
Nine Weeks Focus	Mean, Median, Mode, Range Area of Triangles, Volume, Solve & check one-step equations Order of Operations, Rate, Roots +,-, x, ¸ Mixed Numbers Coordinates on an x-y axis
Skills/Standards	Number, Number Sense and Operations 4 5 6 78 9 101112 2. Recognize that natural numbers, whole numbers, integers, rational numbers and irrational numbers are subsets of the real number system. 3. Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals. 4. Explain and use the inverse and identity properties and use inverse relationships (addition/subtraction, multiplication/division, squaring/square roots) in problem solving situations. 5. Determine when an estimate is sufficient and when an exact answer is needed in problem situations, and evaluate estimates in relation to actual answers; e.g., very close, less than, greater than. 6. Estimate, compute and solve problems involving rational numbers, including ratio, proportion and percent, and judge the reasonableness of solutions. Number, Number Sense and Operations (Continued) 7. Find the square root of perfect squares, and approximate the square root of non-perfect squares as consecutive integers between which the root lies; e.g., 130is between 11 and 12. Measurement 1. Compare and order the relative size of common U.S. customary units and metric units; e.g., mile and kilometer, gallon and liter, pound and kilogram. 2. Use proportional relationships and formulas to convert units from one measurement system to another; e.g., degrees Fahrenheit to degrees Celsius. 6. Solve and determine the reasonableness of the results for problems involving rates and derived measurements, such as velocity and density, using formulas, models and graphs. 9. Demonstrate understanding of the concepts of perimeter, circumference and area by using established formulas for triangles, quadrilaterals, and circles to determine the surface area and volume of prisms, pyramids, cylinders, spheres and cones. (Note: Only volume should be calculated for spheres and cones.) 10. Use conventional formulas to find the surface area and volume of prisms, pyramids and cylinders and the volume of spheres and cones to a specified level of precision. Geometry and Spatial Sense 4. Represent and analyze shapes using coordinate geometry; e.g., given three vertices and the type of quadrilateral, find the coordinates of the fourth vertex. Patterns, Functions and Algebra 4. Extend the uses of variables to include covariants where y depends on x. 7. Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems. 8. Write, simplify and evaluate algebraic expressions (including formulas) to generalize situations and solve problems. 9. Solve linear equations and inequalities graphically, symbolically and using technology. Patterns, Functions and Algebra (Continued) 13. Compute and interpret slope, midpoint and distance given a set of ordered pairs. Data Analysis and Probability 1. Use, create and interpret scatterplots and other types of graphs as appropriate. 2. Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose; e.g., line graph for change over time, circle graph for part-to-whole comparison, scatterplot for relationship between two variants. 3. Differentiate between discrete and continuous data and appropriate ways to represent each. 4. Compare two sets of data using measures of center (mean, mode, median) and measures of spread (range, quartiles, interquartile range, percentiles). 5. Explain the mean's sensitivity to extremes and its use in comparison with the median and mode. 9. Construct convincing arguments based on analysis of data and interpretation of graphs. 10. Calculate the number or possible outcomes for a situation, recognizing and accounting for when items may occur more than once or when order is important.
Assessments