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Texas Math Standards - 8th Grade
MathScore aligns to the Texas Math Standards for 8th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Texas Math Standards at other levels.
Number, operation, and quantitative reasoning
8.1 The student understands that different forms of numbers are appropriate for different situations. The student is expected to:A. compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals; (Compare Mixed Values , Compare Mixed Values 2 , Fraction Comparison , Compare Integers , Fractions to Decimals , Decimals To Fractions , Positive Number Line )
B. select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships; (Proportions 2 , Distance, Rate, and Time , Train Problems )
C. approximate (mentally and with calculators) the value of irrational numbers as they arise from problem situations (π, √2); and (Estimating Square Roots )
D. express numbers in scientific notation, including negative exponents, in appropriate problem situations using a calculator. (Scientific Notation )
8.2 The student selects and uses appropriate operations to solve problems and justify solutions. The student is expected to:
A. select and use appropriate operations to solve problems and justify the selections; (Many topics align to this standard)
B. add, subtract, multiply, and divide rational numbers in problem situations; (Many topics align to this standard)
C. evaluate a solution for reasonableness; and
D. use multiplication by a constant factor (unit rate) to represent proportional relationships; for example, the arm span of a gibbon is about 1.4 times its height, a = 1.4h. (Function Tables , Function Tables 2 )
Patterns, relationships, and algebraic thinking
8.3 The student identifies proportional relationships in problem situations and solves problems. The student is expected to:A. compare and contrast proportional and non-proportional relationships; and
B. estimate and find solutions to application problems involving percents and proportional relationships such as similarity and rates. (Purchases At Stores , Restaurant Bills , Commissions , Proportions 2 , Distance, Rate, and Time , Train Problems )
8.4 The student makes connections among various representations of a numerical relationship. The student is expected to generate a different representation given one representation of data such as a table, graph, equation, or verbal description. (Graphs to Linear Equations , Graphs to Linear Equations 2 , Nonlinear Functions , Phrases to Algebraic Expressions , Integer Word Problems , Algebraic Sentences 2 , Algebraic Sentences )
8.5 The student uses graphs, tables, and algebraic representations to make predictions and solve problems. The student is expected to:
A. estimate, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations; and (Age Problems , Distance, Rate, and Time , Train Problems , Mixture Word Problems , Work Word Problems )
B. use an algebraic expression to find any term in a sequence.
Geometry and spatial reasoning
8.6 The student uses transformational geometry to develop spatial sense. The student is expected to:A. generate similar shapes using dilations including enlargements and reductions; and
B. graph dilations, reflections, and translations on a coordinate plane. (Translations and Reflections )
8.7 The student uses geometry to model and describe the physical world. The student is expected to:
A. draw solids from different perspectives;
B. use geometric concepts and properties to solve problems in fields such as art and architecture;
C. use pictures or models to demonstrate the Pythagorean Theorem; and (Pythagorean Theorem )
D. locate and name points on a coordinate plane using ordered pairs of rational numbers. (Ordered Pairs )
Measurement
8.8 The student uses procedures to determine measures of solids. The student is expected to:A. find surface area of prisms and cylinders using concrete models and nets (two-dimensional models);
B. connect models to formulas for volume of prisms, cylinders, pyramids, and cones; and
C. estimate answers and use formulas to solve application problems involving surface area and volume. (Rectangular Solids , Rectangular Solids 2 , Triangular Prisms , Cylinders , Perimeter and Area Word Problems )
8.9 The student uses indirect measurement to solve problems. The student is expected to:
A. use the Pythagorean Theorem to solve real-life problems; and (Pythagorean Theorem )
B. use proportional relationships in similar shapes to find missing measurements. (Proportions 2 )
8.10 The student describes how changes in dimensions affect linear, area, and volume measures. The student is expected to:
A. describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally; and (Compare Rectangle Area and Perimeter , Area And Volume Proportions )
B. describe the resulting effect on volume when dimensions of a solid are changed proportionally. (Area And Volume Proportions )
Probability and statistics
8.11 The student applies concepts of theoretical and experimental probability to make predictions. The student is expected to:A. find the probabilities of compound events (dependent and independent); (Probability 2 , Probability , Object Picking Probability )
B. use theoretical probabilities and experimental results to make predictions and decisions; and (Batting Averages )
C. select and use different models to simulate an event.
8.12 The student uses statistical procedures to describe data. The student is expected to:
A. select the appropriate measure of central tendency to describe a set of data for a particular purpose;
B. draw conclusions and make predictions by analyzing trends in scatterplots; and
C. construct circle graphs, bar graphs, and histograms, with and without technology.
8.13 The student evaluates predictions and conclusions based on statistical data. The student is expected to:
A. evaluate methods of sampling to determine validity of an inference made from a set of data; and
B. recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.
Underlying processes and mathematical tools
8.14 The student applies Grade 8 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to:A. identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics; (Simple Interest , Compound Interest , Continuous Compound Interest )
B. use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness;
C. 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; and
D. 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 The student communicates about Grade 8 mathematics through informal and mathematical language, representations, and models. The student is expected to:
A. communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models; and (Phrases to Algebraic Expressions , Algebraic Sentences 2 , Algebraic Sentences )
B. evaluate the effectiveness of different representations to communicate ideas.
8.16 The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to:
A. make conjectures from patterns or sets of examples and nonexamples; and
B. validate his/her conclusions using mathematical properties and relationships.
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