# ACE Precalculus PACEs

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with this set of PreCalculus Math Self-Pac PACES 11-20, which covers:

• Precalculus, relations, and functions.
• Special functions: linear, second degree, greatest integer, exponential, and logarithmic.
• trigonometric functions.
• The radian measure, and circular functions and their graphs.
• The properties of circular functions.
• Additional sum and difference formulas, double and half-angle formulas, and trigonometric equations.
• Trigonometric functions of any angle, the law of cosines and sines, and applications problems.
• The inverse trigonometric functions and graphs.
• polar coordinates and equations and their graphs.
• algebraic and trigonometric functions, logarithmic and exponential functions, trigonometric series and equations, and special applications.

Fill-in-the-blank, word-bank, and multiple-choice type exercises help with review and retention. Paperback booklets. Publisher lists as college level; parents may wish to consider for high school grades.

Answers are not included, but are available in the sold-separately SCORE key.

• This answer key set includes two self-pac Answer Keys for Precalculus PACEs 11-20. Keys are three-hole-punched, and have each page and question number clearly labeled; answers are line-listed. Test and workbook exercises included. 2 booklets. High School.

This answer key set includes two PACE SCORE keys that cover Precalculus PACEs 11-20. Keys are three-hole-punched, and have each page and question number clearly labeled; answers are line-listed. Test and workbook exercises included. 2 booklets. High School.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 11 covers functions and trigonometry, function notation, composition and identity of functions, the inverse of a function, and more. ACE lists this as college level. Parents may wish to consider for high schoolers.

26 pages, paperback booklet. Intermediate/Original Edition. College level.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Answers are sold-separately in the PACE SCORE Key booklet.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 12 covers graphing polynomial functions of degree one and two; graphing the exponential function and its inverse, and graphing combinations of the functions in objectives one and two. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 13 covers defining six trigonometric functions; correctly using the trigonometric tables; reducing angles to a first quadrant angle; evaluating special function values of 30, 40, and 60 degree angles; and evaluating the quadrantal function values. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 14 covers defining the radian unit of measure, converting the radian measure to angle measure, and graphing the six trigonometric functions. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

ACE's Basic Mathematics II Precalculus Self-Pac 15 covers the amplitude of the trigonometric functions, the period of the trigonometric functions, the phase shift of the trigonometric functions, reciprocal relations, Pythagorean relations, quotient relations, and trigonometric relations.

A variety of exercises help with review and retention. 33 pages, paperback booklet. Answers are sold-separately in the PACE SCORE Key booklet. College.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self-test," and conclude with a "final test" (removed from the center) to measure understanding.

This ACE "PACE" solution key includes more complete solutions that are at least partially worked out; it accompanies the sold-separately Precalculus PACEs 11, 12, 13, 14 and 15. Self-test and workbook exercises included; answers are line-listed. This key is three-hole-punched. Highschool.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 16 covers developing and applying the sum and difference formulas, double-angle formulas, half-angle formulas, and multiple-angle formulas in identities and equations. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 17 covers defining the trigonometric functions with reference to the right triangle; using the right triangle; solving applied problems by using the Laws of Cosines and sines; and solving navigation problems using the trigonometric functions and Law of Cosines and sines. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 15 covers identifying the amplitude, period, and phase shift of a trigonometric function and how to graph them. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 19 covers converting Cartesian coordinates to polar coordinates and vice versa. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will learn the basics of calculus with School of Tomorrow's Basic Mathematics II: Precalculus curriculum. Self-Pac PACE 20 covers graphing functions that are combinations of other functions; identifying the sin and cos series and computing the values of these functions; and solving equations of higher degree involving trigonometric functions. ACE lists this as college level. Parents may wish to consider for high schoolers.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

This ACE "PACE" solution key includes more complete, at least partially worked-out solutions for the the sold-separately Precalculus PACEs 16, 17, 18, 19 and 20. Test and workbook exercises included; answers are line-listed. This key is three-hole-punched. Booklet. High School.