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TEKSRCR/SGrade 8 student expectation - Free math resourcesActivitiesVideoVideoVideo
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8.2A1Sextend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers;Visualizing Real Numbers
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8.2B1Sapproximate the value of an irrational number, including π and square roots of numbers less than 225, and locate that rational number approximation on a number line;Approximating Square Roots
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8.2C1Sconvert between standard decimal notation and scientific notation;Scientific Notation
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8.2D1Rorder a set of real numbers arising from mathematical and real-world contexts.Ordering Rational NumbersOrdering Irrational Numbers
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8.3A3Sgeneralize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;Similar Proportionality
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8.3B3Scompare and contrast the attributes of a shape and its dilation(s) on a coordinate plane;Dilations
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8.3C3Ruse an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.Dilation RepresentationsApplying Dilations
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8.4A2Suse similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y- values to the change in x- values, (y2 - y1 ) / (x2 - x1 ), is the same for any two points (x1 , y1 ) and (x2 , y2 ) on the same line;Slope in Similar Right Triangles
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8.4B2Rgraph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship;Slope as Unit RateGraphing Unit Rate
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8.4C2Ruse data from a table or graph to determine the rate of change or slope and y- intercept in mathematical and real-world problems.BlogSlope and Y-intercept in GraphsSlope and Y-intercept in Tables
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8.5A2Srepresent linear proportional situations with tables, graphs, and equations in the form of y = kx;Representing Linear Proportional Relationships
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8.5B2Srepresent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0;Slope-intercept Form
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8.5C4Scontrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation;Linear Relationships
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8.5D4Ruse a trend line that approximates the linear relationship between bivariate sets of data to make predictions;Trend LinesPredictions From Trend Lines
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8.5E2Ssolve problems involving direct variation;Direct Variation
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8.5F2Sdistinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0;Proportional and Non-proportional Graphs
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8.5G2Ridentify functions using sets of ordered pairs, tables, mappings, and graphs;Identifying Functions
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8.5H2Sidentify examples of proportional and non-proportional functions that arise from mathematical and real-world problems;Identifying Proportional and Non-proportional Functions
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8.5I2Rwrite an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.BlogSlope-intercept Form in ProblemsSlope-intercept Form in TablesSlope-intercept Form in Graphs
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8.6A3Sdescribe the volume formula V = Bh of a cylinder in terms of its base area and its height;Describing the Volume of a Cylinder
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8.6Bmodel the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas;
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8.6C3Suse models and diagrams to explain the Pythagorean theorem.Modeling the Pythagorean Theorem
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8.7A3Rsolve problems involving the volume of cylinders, cones, and spheres;Volume of a ConeVolume of a CylinderVolume of a Sphere
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8.7B3Ruse previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;Surface Area of PrismsSurface Area of Cylinders
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8.7C3Ruse the Pythagorean Theorem and its converse to solve problems;Using the Pythagorean TheoremApplying the Pythagorean Theorem
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8.7D3Sdetermine the distance between two points on a coordinate plane using the Pythagorean Theorem.Pythagorean Theorem on the Coordinate Plane
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8.8A2Swrite one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;Writing Equations and Inequalities
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8.8B2Swrite a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;Writing Problems for Equations and Inequalities
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8.8C2Rmodel and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants;BlogModeling One-variable EquationsSolving One-variable Equations
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8.8D3Suse informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.Parallel Lines Cut by a TransversalTriangles
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8.9A2Sidentify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations.Intersecting Linear Equations
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8.10A3Sgeneralize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;Generalizing Transformations
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8.10B3Sdifferentiate between transformations that preserve congruence and those that do not;Congruence and Transformations
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8.10C3Rexplain the effect of translations, reflections over the x- or y- axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation;Rotation on the Coordinate PlaneReflection on the Coordinate PlaneTranslation on the Coordinate Plane
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8.10D3Smodel the effect on linear and area measurements of dilated two-dimensional shapes.Dilations and Measurements
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8.11A4Sconstruct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data;Scatterplots
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8.11B4Sdetermine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points;Mean Absolute Deviation
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8.11Csimulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.
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8.12A4Ssolve real-world problems comparing how interest rate and loan length affect the cost of credit;Comparing Simple Interest
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8.12Bcalculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator;
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8.12C4Sexplain how small amounts of money invested regularly, including money saved for college and retirement, grow over time;Growing Money Over Time
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8.12D4Rcalculate and compare simple interest and compound interest earnings;Calculating Simple InterestCalculating Compound Interest
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8.12Eidentify and explain the advantages and disadvantages of different payment methods;Different Payment Methods
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8.12Fanalyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility;Financial Responsibility
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8.12G4Sestimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college.Saving for College