12.1
Model Inverse Variation
12.2
Graph Rational
Functions
12.7
Solve Rational
Equations
12.3
Divide
Polynomials
12.6
Add and Subtract
Rational
Expressions
12.4
12.5
Multiply and Divide Rational Expressions
Simplify Rational
Expressions
ALGEBRA 1: Chapter 12 Learning Targets
Rational Equations and Functions
SEC
12.1
TOPIC
Model Inverse
Variation
12.2
Graph Rational
Functions
12.3
Divide
Polynomials
12.4
Simplify Rational
Expressions
12.5
Multiply and
Divide Rational
Expressions
12.6
Add and Subtract
Rational
Expressions
12.7
Solve Rational
Equations
EXP.
TARGET
I can identify whether an equation represents direct variation, inverse variation, or neither.
I can graph an inverse variation equation by making a table, plotting points, and connecting the points with 2 smooth curves.
I can identify the graphs of direct variation, inverse variation functions.
I can write an inverse variation equation given four points on the graph.
I can identify the domain and range of inverse variation functions.
I can graph the parent rational function:
I can identify the values of a, h, k, and use them to help graph a rational function.
I can explain how the values of a, h, k affect the graph of a rational function.
I can identify the domain and range of rational functions.
I can identify horizontal and vertical asymptotes of a rational function from its equation and graph.
I can compare the graph of any rational equation with the parent rational function graph.
I can divide a polynomial by a monomial.
I can use long division to divide a polynomial by a binomial.
I can remember to insert missing terms when dividing a polynomial by a binomial.
I can rewrite a rational function in the form
I can use the skills above to help graph a rational function.
I can identify values of x that would make a rational expression undefined. These values are called “excluded values.”
I can simplify a rational expression by factoring and then dividing out common monomial factors.
I can simplify a rational expression by factoring and then dividing out common binomial factors.
I can identify opposite factors:
I can multiply rational expressions having monomial terms.
I can simplify the product of rational expressions using product properties of exponents and by factoring and then dividing out
common factors.
I can multiply rational expressions involving polynomials.
I can multiply a rational expression by a polynomial.
I can divide rational expressions involving polynomials.
I can divide a rational expression by a polynomial.
I can add and subtract rational expressions with the same denominator.
I can find the Least Common Denominator (LCD) of rational expressions.
I can add and subtract expressions with different denominators by finding the LCD.
I can solve rational equations using the Cross Products Property.
I can multiply every fraction in an equation by the LCD, to “clear out” the fractions.
I can factor a polynomial to help find the LCD.
I can solve rational equations using the skills listed previously.
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