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Common Core: Math
CCLS - Math: 8.EE.5
- Expressions And Equations
- Understand The Connections Between Proportional Relationships, Lines, And Linear Equations.
- State Standard:
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
- Student Outcomes Students work with proportional relationships in terms of average speed and constant speed in order to write a linear equation in two variables. Students use linear equations in two...
- Student Outcomes Students know the definition of constant rate in varied contexts as expressed using two variables where one is t representing a time interval. Students graph points on a coordinate...
- Student Outcomes Students use a table to find solutions to a given linear equation and plot the solutions on a coordinate plane.
- Student Outcomes Students predict the shape of a graph of a linear equation by finding and plotting solutions on a coordinate plane. Students informally explain why the graph of a linear equation is...
- Student Outcomes Students graph linear equations in standard form, ax + by = c (a or b = 0), that produce a horizontal or a vertical line.
- Student Outcomes Students prove that any point on the graph of y = mx + b is on a line l and that any point on a line l is a point on the graph of y = mx + b. Students graph linear equations on the...
- Student Outcomes Students know that any non-vertical line is the graph of a linear equation in the form of y = mx + b, where b is a constant. Students write the equation that represents the graph of...
- Student Outcomes Students write the equation of a line given two points or the slope and a point on the line. Students know the traditional forms of the slope formula and slope-intercept equation.
- Student Outcomes Students know that any constant rate problem can be described by a linear equation in two variables where the slope of the graph is the constant rate. Students compare two different...
- Student Outcomes Students learn a real-world application of linear equations with respect to the conversion of temperatures from Celsius to Fahrenheit and Fahrenheit to Celsius.