
8Grade 8 Standards
Top Mathematicians

Twodimensional Shapes

8.TDS.111.28.b.10A
Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of twodimensional shapes on a coordinate plane.


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8.TDS.111.28.b.10B
Differentiate between transformations that preserve congruence and those that do not.

8.TDS.111.28.b.10C
Explain the effect of translations, reflections over the x or yaxis, and rotations limited to 90�, 180�, 270�, and 360� as applied to twodimensional shapes on a coordinate plane using an algebraic representation.


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8.TDS.111.28.b.10D
Model the effect on linear and area measurements of dilated twodimensional shapes.

8.TDS.111.28.b.10A

Measurement and Data

8.MD.111.28.b.11A
Construct a scatterplot and describe the observed data to address questions of association such as linear, nonlinear, and no association between bivariate data.


8.225


8.MD.111.28.b.11B
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.MD.111.28.b.11C
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.MD.111.28.b.11A

Personal Financial Literacy

8.PFL.111.28.b.12A
Solve realworld problems comparing how interest rate and loan length affect the cost of credit.


8.PFL.111.28.b.12B
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.PFL.111.28.b.12C
Explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time.


8.PFL.111.28.b.12D
Calculate and compare simple interest and compound interest earnings.


8.1315

8.1415


8.PFL.111.28.b.12E
Identify and explain the advantages and disadvantages of different payment methods.


8.PFL.111.28.b.12F
Analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility.


8.PFL.111.28.b.12G
Estimate the cost of a twoyear and fouryear 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.


8.PFL.111.28.b.12A

Mathematical Process Standards

8.MPS.111.28.b.1A
Apply mathematics to problems arising in everyday life, society, and the workplace.


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8.MPS.111.28.b.1B
Use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problemsolving process and the reasonableness of the solution.


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8.MPS.111.28.b.1C
Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.


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8.MPS.111.28.b.1D
Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.


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8.MPS.111.28.b.1E
Create and use representations to organize, record, and communicate mathematical ideas.


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8.MPS.111.28.b.1F
Analyze mathematical relationships to connect and communicate mathematical ideas.


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8.MPS.111.28.b.1G
Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.


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8.MPS.111.28.b.1A

Number and Operations

8.NO.111.28.b.2A
Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers.


8.875


8.NO.111.28.b.2B
Approximate the value of an irrational number, including p and square roots of numbers less than 225, and locate that rational number approximation on a number line.


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8.NO.111.28.b.2C
Convert between standard decimal notation and scientific notation.

8.NO.111.28.b.2D
Order a set of real numbers arising from mathematical and realworld contexts.


8.NO.111.28.b.2A

Proportionality

8.RP.111.28.b.3A
Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation.


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8.RP.111.28.b.3B
Compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane.

8.RP.111.28.b.3C
Use an algebraic representation to explain the effect of a given positive rational scale factor applied to twodimensional figures on a coordinate plane with the origin as the center of dilation.


8.625

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8.RP.111.28.b.4A
Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in yvalues to the change in xvalues, (y2  y1)/ (x2  x1), is the same for any two points (x1, y1) and (x2, y2) on the same line.


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8.RP.111.28.b.4B
Graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship.


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8.RP.111.28.b.4C
Use data from a table or graph to determine the rate of change or slope and yintercept in mathematical and realworld problems.


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8.RP.111.28.b.5A
Represent linear proportional situations with tables, graphs, and equations in the form of y = kx.


8.210

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8.RP.111.28.b.5B
Represent linear nonproportional situations with tables, graphs, and equations in the form of y = mx + b, where b ? 0.


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8.RP.111.28.b.5C
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.


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8.RP.111.28.b.5D
Use a trend line that approximates the linear relationship between bivariate sets of data to make predictions.


8.RP.111.28.b.5E
Solve problems involving direct variation.


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8.RP.111.28.b.5F
Distinguish between proportional and nonproportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b ? 0.

8.RP.111.28.b.5G
Identify functions using sets of ordered pairs, tables, mappings, and graphs.

8.RP.111.28.b.5H
Identify examples of proportional and nonproportional functions that arise from mathematical and realworld problems.

8.RP.111.28.b.5I
Write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.


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8.RP.111.28.b.3A

Expressions, Equations, and Relationships

8.EE.111.28.b.6A
Describe the volume formula V = Bh of a cylinder in terms of its base area and its height.


8.1085


8.EE.111.28.b.6B
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.EE.111.28.b.6C
Use models and diagrams to explain the Pythagorean theorem.


8.EE.111.28.b.7A
Solve problems involving the volume of cylinders, cones, and spheres.


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8.EE.111.28.b.7B
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.


8.1005

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8.EE.111.28.b.7C
Use the Pythagorean Theorem and its converse to solve problems.


8.1015

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8.EE.111.28.b.7D
Determine the distance between two points on a coordinate plane using the Pythagorean Theorem.


8.11510


8.EE.111.28.b.8A
Write onevariable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants.

8.EE.111.28.b.8B
Write a corresponding realworld problem when given a onevariable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants.


8.EE.111.28.b.8C
Model and solve onevariable equations with variables on both sides of the equal sign that represent mathematical and realworld problems using rational number coefficients and constants.


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8.EE.111.28.b.8D
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 angleangle criterion for similarity of triangles.


8.EE.111.28.b.9
The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations. The student is expected to 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.EE.111.28.b.6A