MATH 8 -Second Semester 2012-2013 Year 1) M8.6A, M8.6B, M8.7B, M8.9B, 2) M8.10A the relationships involved in side lengths of right triangles and squares. Their explorations lead to a discovery of irrational numbers, square roots, and the Pythagorean Theorem. Days TEKS 1) M8.1C, M8.1E, M8.14D, M8.15A, M8.16B 2) M8.7B, M8.7C, M8.9A, M8.9B, M8.15A Unit 15: Probability and Prediction of RealWorld Events: Students construct sample spaces for real-world events, determine the theoretical probability of those events, compare and contrast the theoretical and experimental probabilities obtained, and make decisions and predictions based on those probabilities and results. Units Unit 18: Simulations: Days Students select and use different simulations to model real-world situations in order to make conjectures and decisions. M8.11A, M8.11B, M8.15B, M8.16B AlgI.1A, AlgI.1B, AlgI.1C, AlgI.1D, AlgI.3A, AlgI.3B, AlgI.4A, AlgI.5A Unit 19: Bridge to Algebra I: Using Algebraic Representations to Solve Real-World Problems: M8.11A, M8.11B, M8.15A, M8.16A TEKS 4 days M8.7B, M8.14A, M8.16A, M8.16B Units Unit 14: Square Roots, Irrational Numbers, and the Pythagorean Theorem: Students explore Cycle 6: Apr. 15 - June 6 (38 days) 6 days Students investigate geometric transformations and their relationships, and the effects of dimensional changes on area and perimeter of twodimensional geometric figures. 4 days Unit 11: Geometric Transformations and Dimensional Changes: TEKS 3 days: Irrational numbers and Pythagorean theorem Students investigate relationships involving lines and angles as well as relationships within and between twodimensional geometric figures such as the sum of angles, congruence, and symmetry. Days 2 Days Units Unit 10: Two-dimensional Geometric Figures and their Relationships: Cycle 5: Feb. 25 - Apr. 12 (29 days) 2 days: Probability Cycle 4: Jan 8- Feb 22: ( 33 days) Students revisit various algebra foundation topics and use multiple algebraic representations (verbal descriptions, tables, graphs, and equations) and symbolic relationships to solve realworld problems. MATH 8 -Second Semester 2012-2013 Year Cycle 4: Jan 8- Feb 22: ( 33 days) Days TEKS M8.7A, M8.7B, M8.14A, M8.15A M8.3B, M8.8A, M8.8B, M8.8C, M8.9B, M8.10A, M8.10B Students explore data collection and use graphical representations to create data displays (histograms, circle graphs, scatter plots, stem and leaf plots, and box and whisker plots) of realworld situations. They use the displays and statistical measures of central tendency and variability to analyze, interpret, make predictions, and determine misuses of the data. Unit 17: Readiness and Supporting: Standards Review Students use appropriate problemsolving strategies and skills to review relevant Readiness and Supporting Standards (based on individual student diagnostic data). 3 days concepts of volume and surface area of three-dimensional geometric solids using models. They study the relationships found and make connections to formulas as well as solve application problems including proportional changes and their effects on the volume and surface area of similar solids. Units M8.12A, M8.12B, M8.12C, M8.13A, M8.13B 4 days Unit 13: Volume and Surface Area of Geometric Solids: Students explore the TEKS Unit 16: Data Collection and Data Analysis: 2 days investigate spatial relationships by matching drawings of front, top, and side views of geometric solids to the solid; drawing given solids from different perspectives; and using spatial visualization skills to build concrete representations of solids. Days 5 days: Volume & S. A for Prism, Cylinder, Cone, Sphere, & Pyramid Units Unit 12: Spatial Relationships in Geometric Solids: Students Cycle 5: Feb. 25 - Apr. 12 (29 days) M8.14B, M8.14C, M8.15A Cycle 6: Apr. 15 - June 6 (38 days) Units Days TEKS