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Common Core: Math
Subject: Math
153 Results

 Student Outcomes Students know that a Pythagorean triple can be obtained by multiplying any known triple by a common whole number. Students use this method to generate Pythagorean triples. Students...

 Student Outcomes Students learn a realworld application of linear equations with respect to the conversion of temperatures from Celsius to Fahrenheit and Fahrenheit to Celsius.

 Student Outcomes Students write word problems into systems of linear equations. Students solve systems of linear equations using elimination and substitution methods.

 Student Outcomes Students learn the elimination method for solving a system of linear equations. Students use properties of rational numbers to find a solution to a system, if it exists, through...

 Student Outcomes Students know that since two equations in the form ax + by = c and a'x + b'y = c' graph as the same line when a'/a = b'/b = c'/c, then the system of linear equations has infinitely...

 Student Outcomes Students know that when a system of linear equations has no solution, i.e., no point of intersection of the lines, then the lines are parallel.

 Student Outcomes Students graph two equations and find the point of intersection. Students identify the point of intersection of the two lines as the solution to the system. Students verify by...

 Student Outcomes Students know that a system of linear equations, also known as simultaneous equations, is when two or more equations are involved in the same problem and work must be completed on...

 Student Outcomes Students know that two equations in the form of ax + by = c and a'x + b'y = c' graph as the same line when a'/a = b'/b = c'/c and at least one of a or b is nonzero. Students know...

 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 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 slopeintercept equation.

 Student Outcomes Students know that any nonvertical 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 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 graph equations in the form of y = mx + b using information about slope and yintercept. Students know that if they have two straight lines with the same slope and a common...

 Student Outcomes Students show that the slope of a line joining any two distinct points of the graph of y = mx + b has slope, m. Students transform the standard form of an equation into y = (a/b)x...

 Student Outcomes Students use similar triangles to explain why the slope m is the same between any two distinct points on a nonvertical line in the coordinate plane. Students use the slope formula...

 Student Outcomes Students know slope is a number that describes the steepness or slant of a line. Students interpret the unit rate as the slope of a graph.

 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 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 use a table to find solutions to a given linear equation and plot the solutions on a coordinate plane.

 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 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 how to rewrite an exponential expression that represents a series as a linear equation.

 Student Outcomes Students rewrite and solve equations that are not obviously linear equations using properties of equality.