 Author:
 Kelly Rawlston, Letoria Lewis
 Subject:
 Mathematics
 Material Type:
 Curriculum, Teaching/Learning Strategy
 Level:
 Middle School
 Grade:
 8
 Tags:

 8th Grade Math
 RethinkMS
 RethinkTR
 License:
 Creative Commons Attribution NonCommercial Share Alike
 Language:
 English
 Media Formats:
 Downloadable docs
Education Standards
Learning Domain: Expressions and Equations
Standard: Develop and apply the properties of integer exponents to generate equivalent numerical expressions.
Learning Domain: Expressions and Equations
Standard: Use square root and cube root symbols to: Represent solutions to equations of the form x squared = p and x cubed = p, where p is a positive rational number; Evaluate square roots of perfect squares and cube roots of perfect cubes for positive numbers less than or equal to 400.
Learning Domain: Expressions and Equations
Standard: Use numbers expressed in scientific notation to estimate very large or very small quantities and to express how many times as much one is than the other.
Learning Domain: Expressions and Equations
Standard: Perform multiplication and division with numbers expressed in scientific notation to solve realworld problems, including problems where both decimal and scientific notation are used.
Learning Domain: Expressions and Equations
Standard: Solve realworld and mathematical problems by writing and solving equations and inequalities in one variable: Recognize linear equations in one variable as having one solution, infinitely many solutions, or no solutions; Solve linear equations and inequalities including multistep equations and inequalities with the same variable on both sides.
Learning Domain: Expressions and Equations
Standard: Analyze and solve a system of two linear equations in two variables in slopeintercept form: Understand that solutions to a system of two linear equations correspond to the points of intersection of their graphs because the point of intersection satisfies both equations simultaneously; Solve realworld and mathematical problems leading to systems of linear equations by graphing the equations. Solve simple cases by inspection.
Learning Domain: Functions
Standard: Understand that a function is a rule that assigns to each input exactly one output: Recognize functions when graphed as the set of ordered pairs consisting of an input and exactly one corresponding output; Recognize functions given a table of values or a set of ordered pairs.
Learning Domain: Functions
Standard: Compare properties of two linear functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
Learning Domain: Functions
Standard: Identify linear functions from tables, equations, and graphs.
Learning Domain: Functions
Standard: Analyze functions that model linear relationships: Understand that a linear relationship can be generalized by y = mx + b; Write an equation in slopeintercept form to model a linear relationship by determining the rate of change and the initial value, given at least two (x, y) values or a graph; Construct a graph of a linear relationship given an equation in slopeintercept form; Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of the slope and yintercept of its graph or a table of values.
Learning Domain: Functions
Standard: Qualitatively analyze the functional relationship between two quantities: Analyze a graph determining where the function is increasing or decreasing; linear or nonlinear; Sketch a graph that exhibits the qualitative features of a realworld function.
Learning Domain: Geometry
Standard: Use transformations to define congruence: Verify experimentally the properties of rotations, reflections, and translations that create congruent figures; Understand that a twodimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; Given two congruent figures, describe a sequence that exhibits the congruence between them.
Learning Domain: Geometry
Standard: Describe the effect of dilations about the origin, translations, rotations about the origin in 90 degree increments, and reflections across the xaxis and yaxis on twodimensional figures using coordinates.
Learning Domain: Geometry
Standard: Use transformations to define similarity: Verify experimentally the properties of dilations that create similar figures; Understand that a twodimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; Given two similar twodimensional figures, describe a sequence that exhibits the similarity between them.
Learning Domain: Geometry
Standard: Use informal arguments to analyze angle relationships: Recognize relationships between interior and exterior angles of a triangle; Recognize the relationships between the angles created when parallel lines are cut by a transversal; Recognize the angleangle criterion for similarity of triangles; Solve realworld and mathematical problems involving angles.
Learning Domain: Geometry
Standard: Explain the Pythagorean Theorem and its converse.
Learning Domain: Geometry
Standard: Apply the Pythagorean Theorem and its converse to solve realworld and mathematical problems.
Learning Domain: Geometry
Standard: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
Learning Domain: Geometry
Standard: Understand how the formulas for the volumes of cones, cylinders, and spheres are related and use the relationship to solve realworld and mathematical problems.
Learning Domain: The Number System
Standard: Understand that every number has a decimal expansion. Building upon the definition of a rational number, know that an irrational number is defined as a nonrepeating, nonterminating decimal.
Learning Domain: The Number System
Standard: Use rational approximations of irrational numbers to compare the size of irrational numbers and locate them approximately on a number line. Estimate the value of expressions involving: Square roots and cube roots to the tenths; Pi to the hundredths.
Learning Domain: Statistics and Probability
Standard: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Investigate and describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Learning Domain: Statistics and Probability
Standard: Model the relationship between bivariate quantitative data to: Informally fit a straight line for a scatter plot that suggests a linear association; Informally assess the model fit by judging the closeness of the data points to the line.
Learning Domain: Statistics and Probability
Standard: Use the equation of a linear model to solve problems in the context of bivariate quantitative data, interpreting the slope and yintercept.
Learning Domain: Statistics and Probability
Standard: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a twoway table: Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects; Use relative frequencies calculated for rows or columns to describe possible association between the two variables.
8th Grade Math Teacher Guide
Overview
Our Teacher Guides are meant to support the use of our online course and unit content. Please use these to accompany the use of our content and for ideas to support struggling learners, those needing extension and for additional resources.
Teacher Guide for 8th Grade Math
This resource accompanies our Rethink 8th Grade Math course. It includes ideas for use, ways to support exceptional children, ways to extend learning, digital resources and tools, tips for supporting English Language Learners and students with visual and hearing impairments. There are also ideas for offline learning.