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Geom – Use Pythagorean Theorem to solve word problems – ladders on a building.

(G 5.1)

Alg II – Find the length of sides of right triangles using the Pythagorean Theorem.  Use the Pythagorean and quadratic formula to find area of rectangles.

Trig/PreCalc – Know the basic trig identity cos2x+sin2x=1 and prove that it is equilalent to the Pythagorean Theorem.

(PC 5.1)

Use the Distance Formula to determine the distance between two points.

Alg I – Plot points on a graph and, without measuring, determine the distance between two points.

Geom – Use distance formula to find length of line segments (show Pythagorean theorem to prove)

(G 1.1)

Alg II – Use distance formula to determine types of triangles – isosceles, equilateral and scalene.

Trig/PreCalc -

Discuss functions by correctly using appropriate terminology such as domain, range, zeros, and intercepts.

Alg I – Give vocabulary list and quiz for terms involving functions.

(A1 3.3)

Geom -

Alg II – Using a relation, determine domain and range.  Given a function find the zeros and intercepts.  Graph line functions given the intercepts

(A2 1.4) (A2 1.5)

Trig/PreCalc – Write verbal descriptions of functions – from graphs – including zeros, asymptotes, etc.

(PC 1.2)

Identify whether a relation is a function by using the vertical line test as a check for the existence of a unique output for each input.

Alg I – Give sheet with various functions and non-functions.  Use pencil to perform vertical line test.

(A1 3.3)

Geom -

Alg II – Given a relation, use the vertical line test to determine a function.

(A2 1.1)

Trig/PreCalc – Given various relations – determine and recognize functions of different types

(PC 1.5)

Use function notation to evaluate the output of a function for a given input.

Alg I – Create function machine that inputs x and gives out y.  Use t-charts to organize work.

(A1 3.3)

Geom -

Alg II – Given a function, determine the range with a given domain.

(A2 1.2)

Trig/PreCalc – Given function and a domain – find the range

(PC 1.3) (PC 1.2)

HIGH SCHOOL COURSES PREREQUISITE SKILLS WORKSHEET FOR CALCULUS

Riverton Parke Jr-Sr High

Prerequisite Skills

Activity Objectives for Grade/Course

State Standards

Evaluate and simplify a difference quotient that is expressed using function notation.

Alg I -

Geom -

Alg II -

Trig/PreCalc -

5

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