#### MAT-HS.A-REI.11

 MAT-HS Targeted Standards(A) Concept: Algebra(REI) Domain: Reasoning with Equations and InequalitiesCluster: Represent and solve equations and inequalities graphically MAT-HS.A-REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Note: In Algebra I, only linear and exponential will be the focus.

## Student Learning Targets:

• I can
• I can

### Reasoning Targets

• I can explain why the intersection of y = f(x) and y = g(x) is the solution of f(x) = g(x) for any combination of linear, polynomial, rational, absolute value, exponential, and logarithmic functions.

### Skills (Performance) Targets

• I can use technology to graph the equations and find their points of intersection.
• I can use tables of values or successive approximations to find solutions.

• I can
• I can

## Proficiency Scale

 Score Description Sample Activity 4.0 In addition to achieving level 3.0 content, the student makes in-depth inferences and applications that go beyond what was taught On the graphs of f(x) and g(x), interpret where f(x)>g(x)or where f(x)

## Resources

 Web Vocab intersection