Common Core · High school
HSA-CED.A.2
High school — Create equations in two or more variables to represent relationships between quantities, and graph them on coordinate axes with labels and scales.
High school — Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
The 2 skills that cover it
- Forms of a LineWrite the equation of a line in point-slope, slope-intercept and standard form, convert between the three, read intercepts off standard form, and build parallel and perpendicular lines through a point.Read the lesson →
- Piecewise Functions & ModellingBuild the function a situation needs: evaluate and write piecewise and step functions, find the average rate of change on an interval, turn a box, a fence or a price into a polynomial model, choose the right family, and use direct, inverse and joint variation.Read the lesson →
What a student should be able to do
- Write the equation of a line from a point and a slope in point-slope form, and from two points.
- Convert between slope-intercept form y = mx + b and standard form Ax + By = C.
- Find both intercepts of a line given in standard form.
- Write the equation of the line through a point that is parallel or perpendicular to a given line.
- Evaluate a piecewise or step function and match a description to its rule.
- Find the average rate of change of a function over an interval from a rule, a table or a graph.
- Build a polynomial or rational model from a described situation and use it to answer a question.
- Choose the function family a situation calls for, interpret its parameters, and solve direct, inverse and joint variation problems.