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Common Core: Math
Subject: Math
212 Results

 Student Outcomes Students graph a line specified by a linear function. Students graph a line specified by an initial value and rate of change of a function and construct the linear function by...

 Student Outcomes Students interpret the rate of change and initial value of a line in context. Students interpret slope as rate of change and relate slope to the steepness of a line and the sign of...

 Student Outcomes Students determine a linear function given a verbal description of a linear relationship between two quantities. Students interpret linear functions based on the context of a problem...

 Student Outcomes Students know the volume formula for a sphere as it relates to a right circular cylinder with the same diameter and height. Students apply the formula for the volume of a sphere to...

 Student Outcomes Students know the volume formulas for cones and cylinders. Students apply the formulas for volume to realworld and mathematical problems.

 Student Outcomes Students write rules to express functions related to geometry. Students review what they know about volume with respect to rectangular prisms and further develop their conceptual...

 Student Outcomes Students examine the average rate of change for nonlinear functions and learn that, unlike linear functions, nonlinear functions do not have a constant rate of change. Students...

 Student Outcomes Students compare the properties of two functions represented in different ways (e.g., tables, graphs, equations and written descriptions). Students use rate of change to compare...

 Student Outcomes Students use rate of change to determine if a function is a linear function. Students interpret the equation y = mx + b as defining a linear function, whose graph is a line.

 Student Outcomes Students know that the definition of a graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Students understand why the graph of a...

 Student Outcomes Students examine and recognize realworld functions, such as the cost of a book, as discrete rates. Students examine and recognize realworld functions, such as the temperature of a...

 Student Outcomes Students relate constant speed and proportional relationships to linear functions using information from a table. Students know that distance traveled is a function of the time spent...

 Student Outcomes Students know that a function assigns to each input exactly one output. Students know that some functions can be expressed by a formula or rule, and when an input is used with the...

 Student Outcomes Students know that a function allows us to make predictions about the distance an object moves in any time interval. Students calculate average speed of a moving object over...

 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...