Chapter 11 Rational Equations and Functions

11.1 Ratio and Proportion Review expressions and equations by having students create a Double Bubble Map.

Expressions and Equations Put student example here

Ratios What do students already know/remember about ratios? –Have students create a circle map Framework –Definition –Numerical examples –Real world examples

Ratios Definition Numerical examples Real world examples

Proportions Start proportion Circle Map. Have students add to map as more examples are found

Proportions Definition Numerical examples Real world examples

ratio =

Class will create a Flow Map detailing steps to solve proportion word problems. Students will create Double Flow Maps while solving homework problems.

Percents Review percents by having students complete a Circle Map.

12% Framework—what do you do to get other forms? You divide percentage by 100 to get decimal forms. You place percentage over 100 to get a fraction.

Solving percent word problems. Refer back to the proportion Brace Map. Percent word problems are a specific type of proportion problem.

ratio = Numerator-- Part of a whole Denominator-- Whole amount Numerator-- Percentage Denominator-- 100

Student Activity Have students complete brace maps for percent word problems substituting the values from the problems for the verbal description of parts.

x = X = X There are 234 boys at Parry McCluer High School. If there are 424 students at PMHS, what percent of the students are boys?

Direct and Inverse Variation Introduce topic using a Tree Map to compare and contrast direct and inverse variations. Include formulas, definitions, and examples. (Add example here)

Use Bridge Maps to give examples of direct and indirect variation. Have students add their own examples to create a bulletin board display.

Direct and Inverse Variation On the second day, as part of the class warm-up, have students create a Double Bubble Map comparing and contrasting direct and inverse variations. (Add student example here)

Simplify Rational Expressions Students will create circle map and will continue to add to it as new examples of rational expressions are found. –Framework What makes it a rational expression

Rational Expressions Examples of rational expressions What makes it a rational expression

Multiplying and Dividing Rational Expressions Have students create flow map explaining process as teacher works examples.

4x. x x - 9 8x + 12x 4x. x - 3. (x +3)(x – 3) 4x(x + 3) 1 × 1 (x + 3)(x + 3) 1 2 (x + 3) Multiply Rational Expressions

4x ÷ x x - 9 8x + 12x 4x. x - 3. (x +3)(x – 3) 4x(x + 3) 1 × 1 (x + 3)(x + 3) 1 2 (x + 3) Divide Rational Expressions