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TX-4TX��TXTX��TX TX]dTX��TXv}TX6=TX�TX3:TX�TX��TX&-TX��TX�TXhnTX��TX��TXPVTX��TXW]TXTX��TX��TX��TXQWTXTX��TX� TXr x TX!!TX�!�!TX6"<"TX�"�"TX[#a#TX$$TX�$�$TX%%TX�%�%TXv&|&TX�&�&TXv'|'TX�'�'TXr(x(TX�(�(TXp)v)TX�)�)TXI*P*TX#+*+8.1.A"The student is expected to compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals."8.1.BThe student is expected to select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships.8.1.CThe student is expected to approximate (mentally and with calculators) the value of irrational numbers as they arise from problem situations (such as pi and the square root of 2).8.1.D"The student is expected to express numbers in scientific notation, including negative exponents, in appropriate problem situations ."8.2.AThe student is expected to select appropriate operations to solve problems involving rational numbers and justify the selections.8.2.BThe student is expected to use appropriate operations to solve problems involving rational numbers in problem situations.8.2.CThe student is expected to evaluate a solution for reasonableness.8.2.DThe student is expected to use multiplication by a constant factor (unit rate) to represent proportional relationships.8.3.AThe student is expected to compare and contrast proportional and non-proportional linear relationships.8.3.BThe student is expected to estimate and find solutions to application problems involving percents and other proportional relationships such as similarity and rates.8.4.A"The student is expected to generate a different representation of data given another representation of data (such as a table, graph, equation, or verbal description)."8.5.A"The student is expected to predict, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations."8.5.BThe student is expected to find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change).8.6.AThe student is expected to generate similar figures using dilations including enlargements and reductions.8.6.B"The student is expected to graph dilations, reflections, and translations on a coordinate plane."8.7.AThe student is expected to draw three-dimensional figures from different perspectives.8.7.BThe student is expected to use geometric concepts and properties to solve problems in fields such as art and architecture.8.7.CThe student is expected to use pictures or models to demonstrate the Pythagorean Theorem.8.7.DThe student is expected to locate and name points on a coordinate plane using ordered pairs of rational numbers.8.8.A"The student is expected to find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (two-dimensional models)."8.8.B"The student is expected to connect models of prisms, cylinders, pyramids, spheres, and cones to formulas for volume of these objects."8.8.CThe student is expected to estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume.8.9.AThe student is expected to use the Pythagorean Theorem to solve real-life problems.8.9.BThe student is expected to use proportional relationships in similar two-dimensional figures or similar three-dimensional figures to find missing measurements.8.10.AThe student is expected to describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally.8.10.BThe student is expected to describe the resulting effect on volume when dimensions of a solid are changed proportionally.8.11.AThe student is expected to find the probabilities of dependent and independent events.8.11.BThe student is expected to use theoretical probabilities and experimental results to make predictions and decisions.8.11.CThe student is expected to select and use different models to simulate an event.8.12.AThe student is expected to select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation.8.12.BThe student is expected to draw conclusions and make predictions by analyzing trends in scatterplots.8.12.C"The student is expected to select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, and Venn diagrams, with and without the use of technology."8.13.AThe student is expected to evaluate methods of sampling to determine validity of an inference made from a set of data.8.13.BThe student is expected to recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.8.14.A"The student is expected to identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics."8.14.B"The student is expected to use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness."8.14.C"The student is expected to select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem."8.14.D"The student is expected to select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems."8.15.A"The student is expected to communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models."8.15.BThe student is expected to evaluate the effectiveness of different representations to communicate ideas.8.16.AThe student is expected to make conjectures from patterns or sets of examples and nonexamples.8.16.BThe student is expected to validate his/her conclusions using mathematical properties and relationships.A.1.AThe student is expected to describe independent and dependent quantities in functional relationships.A.1.BThe student is expected to gather and record data and use data sets to determine functional relationships between quantities.A.1.CThe student is expected to describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations.A.1.D"The student is expected to represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities."A.1.E"The student is expected to interpret and make decisions, predictions, and critical judgments from functional relationships."A.2.AThe student is expected to identify and sketch the general forms of linear (y = x) and quadratic  (y = x2) parent functions.A.2.B"The student is expected to identify mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete."A.2.CThe student is expected to interpret situations in terms of given graphs or create situations that fit given graphs.A.2.D"The student is expected to collect and organize data, make and interpret scatterplots (including recognizing positive, negative, or no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations ."A.3.AThe student is expected to use symbols to represent unknowns and variables.A.3.BThe student is expected to look for patterns and represent generalizations algebraically.A.4.A"The student is expected to find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations."A.4.B"The student is expected to use the commutative, associative, and distributive properties to simplify algebraic expressions."A.4.C"The student is expected to connect equation notation with function notation, such as y = x + 1 and f(x) = x + 1."A.5.AThe student is expected to determine whether or not given situations can be represented by linear functions.A.5.C"The student is expected to use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions."A.6.A"The student is expected to develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations."A.6.B"The student is expected to interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs."A.6.C"The student is expected to investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b."A.6.D"The student is expected to graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept."A.6.E"The student is expected to determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations."A.6.FThe student is expected to interpret and predict the effects of changing slope and y-intercept in applied situations.A.6.GThe student is expected to relate direct variation to linear functions and solve problems involving proportional change.A.7.AThe student is expected to analyze situations involving linear functions and formulate linear equations or inequalities to solve problems.A.7.B"The student is expected to investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities."A.7.CThe student is expected to interpret and determine the reasonableness of solutions to linear equations and inequalities.A.8.AThe student is expected to analyze situations and formulate systems of linear equations in two unknowns to solve problems.A.8.B"The student is expected to solve systems of linear equations using concrete models, graphs, tables, and algebraic methods."A.8.CThe student is expected to interpret and determine the reasonableness of solutions to systems of linear equations.A.9.B"The student is expected to investigate, describe, and predict the effects of changes in a on the graph of y = ax2 + c."A.9.C"The student is expected to investigate, describe, and predict the effects of changes in c on the graph of y = ax2 + c."A.9.DThe student is expected to analyze graphs of quadratic functions and draw conclusions.A.10.A"The student is expected to solve quadratic equations using concrete models, tables, graphs, and algebraic methods."A.10.B"The student is expected to make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function."A.11.AThe student is expected to use patterns to generate the laws of exponents and apply them in problem-solving situations.