TEKS Readiness and Supporting Standards - Perfection Learning

TEKS Readiness and Supporting StandardsThis chart matches TEKS Readiness and Supporting Standards to the Lessons inHow to Get Better Test Scores, Grade 8, Math.Standards in bold type are Readiness Standards, the standards assessed and emphasized on the test.The remaining standards are Supporting Standards that are assessed but not emphasized.LessonLesson 1:Numbers andOperationsLesson 2:Patterns andRelationshipsLesson 3:GeometryTEKS 8.1TEKS 8.2TEKS 8.3TEKS 8.4TEKS 8.5TEKS 8.6TEKS 8.7TEKS Readiness and Supporting StandardsReporting Category 1: Numbers, Operations, and Quantitative ReasoningThe student will demonstrate an understanding of numbers, operations,and quantitative reasoning.(A) compare and order rational numbers in various forms includingintegers, percents, and positive and negative fractions and decimals;(B) select and use appropriate forms of rational numbers to solve real-lifeproblems including those involving proportional relationships; (C) approximate(mentally [and with calculators]) the value of irrational numbers as they arisefrom problem situations (p, =2); and (D) express numbers in scientific notation,including negative exponents, in appropriate problem situations.(A) select the appropriate operations to solve problems involving rationalnumbers and justify the selections; (B) use appropriate operations to solveproblems involving rational numbers in problem situations; (C) evaluatea solution for reasonableness; and (D) use multiplication by a constant factor(unit rate) to represent proportional relationships.Reporting Category 2: Patterns, Relationships, and Algebraic ThinkingThe student will demonstrate an understanding of patterns, relationships,and algebraic reasoning.(A) compare and contrast proportional and non-proportional relationships;and (B) estimate and find solutions to application problems involvingpercents and proportional relationships such as similarity and rates.(A) generate a different representation given one representation of data(such as a table, graph, equation, or verbal description).(A) predict, find, and justify solutions to application problems usingappropriate tables, graphs, and algebraic equations; and (B) find andevaluate an algebraic expression to determine any term in an arithmeticsequence (with a constant rate of change).Reporting Category 3: Geometry and spatial reasoningThe student will demonstrate an understanding ofgeometry and spatial reasoning.(A) generate similar shapes using dilations including enlargementsand reductions; and (B) graph dilations, reflections, and translations on acoordinate plane.(A) draw three-dimensional figures from different perspectives; (B) use geometricconcepts and properties to solve problems in fields such as art and architecture;(C) use pictures or models to demonstrate the Pythagorean theorem; and (D)locate and name points on a coordinate plane using ordered pairs of rationalnumbers.© Perfection Learning ® Better Test Scores Texas • Math Grade 8 13

LessonLesson 4:MeasurementLesson 5:Probability &StatisticsTEKS 8.8TEKS 8.9TEKS 8.10TEKS 8.11TEKS 8.12TEKS 8.13TEKS Readiness and Supporting StandardsReporting Category 4: MeasurementThe student will demonstrate an understanding of the conceptsand uses of measurement.(A) find lateral and total surface area of prisms, pyramids, and cylindersusing [concrete] models and nets (two-dimensional models); and (C) estimateanswers and use formulas to solve application problems involvinglateral and total surface area and volume.(A) use the Pythagorean theorem to solve real-life problems; and (B) useproportional relationships in similar two-dimensional figures or similarthree-dimensional figures to find missing measurements.(A) describe the resulting effects on perimeter and area when dimensions ofa shape are changed proportionally; and (B) describe the resulting effect onvolume when dimensions of a solid are changed proportionally.Reporting Category 5: Probability and StatisticsThe student will demonstrate an understandingof probability and statistics.(A) find the probabilities of dependent and independent events; and (B)use theoretical probabilities and experimental results to make predictions anddecisions.(A) select the appropriate measure of central tendency or range to describe a setof data and justify the choice for a particular situation; (B) draw conclusions andmake predictions by analyzing trends in scatterplots; and (C) select and use anappropriate representation for presenting and displaying relationships amongcollected data, including line plots, line graphs, [stem and leaf plots,] circlegraphs, bar graphs, box and whisker plots, histograms, and Venn Diagrams [withand] without the use of technology.(A) evaluate methods of sampling to determine validity of an inferencemade from a set of data; and (B) recognize misuses of graphical ornumerical information and evaluate predictions and conclusions basedon data analysis.14 © Perfection Learning ® Better Test Scores Texas • Math Grade 8

LessonLesson 6:ProblemSolvingTEKS Readiness and Supporting StandardsUnderlying Processes and Mathematical ToolsThese skills will not be listed under a separate recording category. Instead, they willbe incorporated into at least 75% of the test questions in reporting categories 1–5and will be identified along with content standards.TEKS (8.14) (A) identify and apply mathematics to everyday experiences, to activities inand outside of school, with other disciplines, and with other mathematicaltopics; (B) use a problem-solving model that incorporates understanding theproblem, making a plan, carrying out the plan, and evaluating the solution forreasonableness; (C) select or develop an appropriate problem-solving strategyfrom a variety of different types, including drawing a picture, looking for apattern, systematic guessing and checking, acting it out, making a table, workinga simpler problem, or working backwards to solve a problem; and (D) select toolssuch as real objects, manipulatives, paper/pencil, and technology or techniquessuch as mental math, estimation, and number sense to solve problems.TEKS (8.15) (A) communicate mathematical ideas using language, efficient tools, appropriateunits, and graphical, numerical, physical, or algebraic mathematical models.TEKS (8.16) (A) make conjectures from patterns or sets of examples and nonexamples; and(B) validate his/her conclusions using mathematical properties and relationships.© Perfection Learning ® Better Test Scores Texas • Math Grade 8 15