First, students will learn what intercepts are.
Intro to intercepts by Khan Academy
Next, students will learn how to find the intercepts of a function from its graph. Students will see two types of problems. For the first type of problem, students are given both the graph and equation of a line in standard form. Students will identify the requested intercept graphically, then check the intercept using the equation.
x-intercept of a line by Khan Academy
Intercepts from a graph by Khan Academy
For the second type of problem, students are given the graph of some function, possibly non-linear, and asked for its intercepts, which students will determine graphically.
Finding Intercepts from the Graph of Functions by Cole's World of Mathematics
Khan Academy doesn't cover finding intercepts from non-linear graphs.
Next, give your students these challenges:
Conclude by leading this investigation:
Pollinator Puzzles (multiplication, division)