# ACE Grade 12 Math PACEs (Trigonometry)

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 develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. This set includes Math PACEs 1133-1138 which covers:

• Unknown measurements involving triangles.
• Values of the trigonometric functions for any angle.
• Use of trigonometric identities.
• Graphing trigonometric functions with and without a graphing calculator.
• Using the inverse trigonometry functions to find angle measures.
• Solving equations involving the trigonometric functions.
• Graphing functions in the polar plane.
• Performing operations with complex numbers.
• Recognizing how trigonometry models our world.

6 Paperback booklets. Grade 12. PACEs 1133-1138.

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

• This answer key set includes two PACE SCORE keys that cover Trigonometry PACEs 1133-1138. Keys are three-hole-punched, and have each page and question number clearly labeled; answers are overlaid on reproduced student pages. Test and workbook exercises included. 2 Booklets. Grade 12.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1133 covers the properties of angles and triangles; the definitions of the six trigonometric functions for acute angles; finding the values of the trigonometric functions using a graphing calculator; establish and use basic trigonometric identities; and to solve problems involving right angles.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 12

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

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.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1134 covers properties of the Cartesian coordinate plane; measuring angles in both degrees and radians; defining the six trigonometric functions for any angle; finding reference angles; using the unit circle to find the values of the trig functions; use identities and quadrants to find missing trig values.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 12

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

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.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1135 covers expressing intervals of real numbers in interval notation; graphing the sine and cosine functions by plotting points; graphing all six trig functions using a graphing calculator; finding the domain, range, and period of a trig function; determining the amplitude of a sine or cosine function.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 12

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

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 single ACE "PACE" score key includes the answers for the sold-separately Trigonometry PACEs 1133, 1134, and 1135. Test and workbook exercises included; answers are overlaid on reproduced student pages. This key is three-hole-punched. Booklet. Grade 12.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1136 covers converting data to a more convenient form; creating a scatter plot for a set of bivariate data, use sinusoidal regression to model data; verify trigonometric identities; learning several important sets of identities; define the inverse functions for sine, cosine, and tangent; find angle measurements from the lengths of a side of a triangle.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 12

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

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.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1137 covers solving trig equations equally; solving trig equations algebraically using the unit circle; solving trig equations algebraically using the inverse trig functions; find the missing lengths and angle measurements using the Law of Sines and the Law of Cosines; to find the areas of triangles using trig.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 12

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

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.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Trigonometry PACE 1138 covers learning the polar coordinate system and graphing equations on the polar plane; converting equations and points between rectangular and polar coordinates; review complex numbers and complex number arithmetic; graph complex numbers are points in a plane; and multiply complex numbers in polar form.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 12

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

Please Note: Prerequisites Algebra 1, Geometry, & Algebra 2.
This course requires the use of a TI-83 Plus or TI-84 Plus graphing calculator.

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.