Number and Number Sense 8.1 The student will compare and order real numbers. 8.2 The student will describe the relationships between the subsets of the real number system. 8.3 The student will estimate and determine the two consecutive integers between which a square root lies; and determine both the positive and negative square of a given perfect square. Computation and Estimation 8. 4 The student will solve practical problems involving consumer applications. Measurement and Geometry 8.5 The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles. 8.6 The student will a) solve problems, including practical problems, involving volume and surface area of cones and square-based pyramids; and b) describe how changing one measured attribute of a rectangular prism affects the volume and surface area. 8.7 The student will a) given a polygon, apply transformations, to include translations, reflections, and dilations, in the coordinate plane; and b) identify practical applications of transformations. 8.8 The student will construct a three-dimensional model, given the top or bottom, side, and front views. 8.9 The student will a) verify the Pythagorean Theorem; and b) apply the Pythagorean Theorem. 8.10 The student will solve area and perimeter problems, including practical problems, involving composite plane figures. Probability and Statistics 8.11 The student will compare and contrast the probability of independent and dependent events; and determine probabilities for independent and dependent events. 8.12 The student will represent numerical data in boxplots; make observations and inferences about data represented in boxplots; and compare and analyze two data sets boxplots. 8.13 The student will a) represent data in scatterplots; b) make observations about data represented in scatterplots; and
Number and Number Sense 8.1 The student will compare and order real numbers. 8.2 The student will describe the relationships between the subsets of the real number system. 8.3 The student will estimate and determine the two consecutive integers between which a square root lies; and determine both the positive and negative square of a given perfect square. Computation and Estimation 8. 4 The student will solve practical problems involving consumer applications. Measurement and Geometry 8.5 The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles. 8.6 The student will a) solve problems, including practical problems, involving volume and surface area of cones and square-based pyramids; and b) describe how changing one measured attribute of a rectangular prism affects the volume and surface area. 8.7 The student will a) given a polygon, apply transformations, to include translations, reflections, and dilations, in the coordinate plane; and b) identify practical applications of transformations. 8.8 The student will construct a three-dimensional model, given the top or bottom, side, and front views. 8.9 The student will a) verify the Pythagorean Theorem; and b) apply the Pythagorean Theorem. 8.10 The student will solve area and perimeter problems, including practical problems, involving composite plane figures. Probability and Statistics 8.11 The student will compare and contrast the probability of independent and dependent events; and determine probabilities for independent and dependent events. 8.12 The student will represent numerical data in boxplots; make observations and inferences about data represented in boxplots; and compare and analyze two data sets boxplots. 8.13 The student will a) represent data in scatterplots; b) make observations about data represented in scatterplots; and
stds-k-12-math-sol.docx