Texas
Math
Discover comprehensive Grade 8 math courses aligned with Texas standards. Master key concepts in algebra, geometry, and data analysis to build a strong foundation for high school mathematics.
ID | Strand & Expectation | StudyPug Topic |
---|---|---|
8.2.A | Number and Operations: Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers |
8.2.B | Number and Operations: Approximate 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 |
8.2.C | Number and Operations: Convert between standard decimal notation and scientific notation |
8.2.D | Number and Operations: Order a set of real numbers arising from mathematical and real-world contexts |
8.3.A | Proportionality: Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation |
8.3.B | Proportionality: Compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane |
8.4.A | Proportionality: Use 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 |
8.4.B | Proportionality: Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship |
8.4.C | Proportionality: Use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems |
8.5.A | Proportionality: Represent linear proportional situations with tables, graphs, and equations in the form of y = kx |
8.5.B | Proportionality: Represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b ≠ 0 |
8.5.C | Proportionality: Contrast 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 |
8.5.E | Proportionality: Solve problems involving direct variation |
8.5.F | Proportionality: Distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ≠ 0 |
8.5.G | Proportionality: Identify functions using sets of ordered pairs, tables, mappings, and graphs |
8.5.H | Proportionality: Identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems |
8.5.I | Proportionality: Write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations |
8.6.A | Expressions, Equations, and Relationships: Describe the volume formula V = Bh of a cylinder in terms of its base area and its height |
8.6.B | Expressions, Equations, and Relationships: Model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas |
8.6.C | Expressions, Equations, and Relationships: Use models and diagrams to explain the Pythagorean theorem |
8.7.A | Expressions, Equations, and Relationships: Solve problems involving the volume of cylinders, cones, and spheres |
8.7.B | Expressions, Equations, and Relationships: Use 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 |
8.7.C | Expressions, Equations, and Relationships: Use the Pythagorean Theorem and its converse to solve problems |
8.7.D | Expressions, Equations, and Relationships: Determine the distance between two points on a coordinate plane using the Pythagorean Theorem |
8.8.A | Expressions, Equations, and Relationships: Write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants |
8.8.B | Expressions, Equations, and Relationships: Write 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 |
8.8.C | Expressions, Equations, and Relationships: Model 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 |
8.8.D | Expressions, Equations, and Relationships: Use 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 |
8.9 | Expressions, Equations, and Relationships: Identify 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 |
8.10.A | Two-dimensional shapes: Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane |
8.10.B | Two-dimensional shapes: Differentiate between transformations that preserve congruence and those that do not |
8.11.A | Measurement and Data: Construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data |
8.11.B | Measurement and Data: Determine 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 |
8.11.C | Measurement and Data: Simulate 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 |
8.12.A | Personal Financial Literacy: Solve real-world problems comparing how interest rate and loan length affect the cost of credit |
8.12.B | Personal Financial Literacy: Calculate 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 |
8.12.C | Personal Financial Literacy: Explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time |
8.12.E | Personal Financial Literacy: Identify and explain the advantages and disadvantages of different payment methods |
8.12.G | Personal Financial Literacy: Estimate 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 |