Students will learn how to find the \(x\) and \(y\)-intercepts of linear equations. To find the \(x\)-intercept, they'll set \(y\) equal to \(0,\) then solve for \(x.\) Similarly, to find the \(y\)-intercept, they'll set \(x\) equal to \(0,\) then solve for \(y.\) Students will also learn how to graph linear equations from their intercepts. If there is no \(x\) intercept, then we have a horizontal line.
Intercepts from an equation by Khan Academy
Intercepts from an equation by Khan Academy
Next, give your students this challenge:
In the figure below, each circle sector has radius \(1.\) Mentally determine the area of the entire figure?
Here's the solution.
Conclude by leading this investigation:
Symbiotic Sets – addition and division
by MathPickle