- standard
Use functions to model relationships between quantities
- 8th Grade
- Michigan State Math Standards
- Functions
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or…
- standard
Use functions to model relationships between quantities
- 8th Grade
- Michigan State Math Standards
- Functions
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description o…
- standard
Define, evaluate, and compare functions
- 8th Grade
- Michigan State Math Standards
- Functions
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, t…
- standard
Define, evaluate, and compare functions
- 8th Grade
- Michigan State Math Standards
- Functions
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For exa…
- standard
Define, evaluate, and compare functions
- 8th Grade
- Michigan State Math Standards
- Functions
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input …
- standard
Investigate patterns of association in bivariate data
- 8th Grade
- Michigan State Math Standards
- Statistics and Probability
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. C…
- standard
Investigate patterns of association in bivariate data
- 8th Grade
- Michigan State Math Standards
- Statistics and Probability
Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a line…
- standard
Investigate patterns of association in bivariate data
- 8th Grade
- Michigan State Math Standards
- Statistics and Probability
Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, inform…
- standard
Investigate patterns of association in bivariate data
- 8th Grade
- Michigan State Math Standards
- Statistics and Probability
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as c…
- standard
Analyze and solve linear equations and pairs of simultaneous linear equations
- 8th Grade
- Michigan State Math Standards
- Expressions and Equations
Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine …
- standard
Analyze and solve linear equations and pairs of simultaneous linear equations
- 8th Grade
- Michigan State Math Standards
- Expressions and Equations
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For e…
- standard
Analyze and solve linear equations and pairs of simultaneous linear equations
- 8th Grade
- Michigan State Math Standards
- Expressions and Equations
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersec…
- standard
Analyze and solve linear equations and pairs of simultaneous linear equations
- 8th Grade
- Michigan State Math Standards
- Expressions and Equations
Analyze and solve pairs of simultaneous linear equations.
- standard
Analyze and solve linear equations and pairs of simultaneous linear equations
- 8th Grade
- Michigan State Math Standards
- Expressions and Equations
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and…