ACE College Math

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. This set includes PACEs 1-10, and covers:

  • Sets, logic, functions, and mathematical systems.
  • Sets, symbols, roster and set-builder notation in defining sets, with emphasis on identifying sets.
  • A further study of sets: power sets, disjoint sets, intersection and union, relative complements of a set, and unary and binary operations.
  • A completion of sets: (infinite sets) and an introduction to logic, defining statements, and quantifiers.
  • A further study in logic: defining the truth as a statement, using a Venn diagram, identifying logically true statements, and logically false statements.
  • Another study of logical reasoning: conditional statements, biconditionals, variations on the conditional, and tautologies.
  • Deductive reasoning: the validity of arguments, theorems, indirect proofs, and invalid arguments.
  • Relations and functions, with ways of representing functions, inverses, and special functions.
  • The composition of functions and binary operations.
  • Groups: definitions, proving theorems about groups, subgroups, and group generators.
  • Isomorphisms of groups, rings and subrings, and integral domains and fields.

    Full-color illustrations incorporate maps and other skills, while fill-in-the-blank, word-bank, and multiple-choice type exercises help with review and retention.

    Paperback booklets. High school & above. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up. PACEs 1-10.

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

    • This answer key set includes two PACE SCORE keys that cover Math PACEs 1-10. 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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 1 covers recognizing the criteria of sets, formulating a general question from a criterion to test the elements of a universal set, to distinguish and use common set symbols, the recognize and use roster notation and set-builder notation to define a set; and to identify and use sets whose elements are sets, as well as sets whose elements are singular.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up. PACE 1.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 2 covers elements of a power set, intersection and union, defining and identifying disjoint sets, defining the complement of a set, defining the relative complement of a set with respect to another set, to define unary and binary operations, and to perform operations in the right order when an expression is punctuated with brackets.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 3 covers the definition and identification of infinite and finite set, and defining a number line.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 4 covers the truth set of a statement, including representing the truth set with a Venn Diagram and identifying logically true, false, and contingent statements.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 5 covers recognizing a conditional statement, as well as its hypothesis and conclusion; determine the truth value of a conditional statement when given the truth value of the components, construct truth tables, translate the if-then statement into different forms, and draw a Venn diagram representing conditional statements and implications.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 single ACE "PACE"score key includes the answers for the sold-separately College Math Self-Pac 1-5. Test and workbook exercises included; answers are line-listed.This key is three-hole-punched.Booklet. Intermediate/Original Edition.

    Students will learn the basics of higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 6 covers writing a related conditional statement given an argument form and vice versa; determine if an argument is valid; make correct, logical substitutions in the valid argument forms; and check the validity of a proof.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 7 covers determining and identifying rules of correspondence, elements of the domain and range of a relation, an equivalence relation, and the inverse of a relation.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 8 covers defining, computing, and evaluating the composite function of g and f.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 9 covers determining the order of a given group, determining if a group is Abelian, and defining the identity element and inverse.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 higher-level math concepts, focusing on sets & logic, with School of Tomorrow's Basic Mathematics I curriculum. PACE Self-Pac 10 covers defining isomorphism, isomorphic groups, and proving theorems about isomorphic groups.

    Fill-in-the-blank, multiple-choice, and write-in comprehension exercises help with review and retention. Paperback booklet. This resource is listed as "college" or post-secondary curriculum; parents may wish to consider for grades 8 & up.

    Please note that the not-included book "Man's Mathematical Models" by Bill Williams and Gwen Crotts is a required resource for this course.

    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 single ACE "PACE" answer key includes the answers for the sold-separately ACE Basic Mathematics I Self-Pac 6-10. Test and workbook exercises included; answers are line-listed. 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" (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.

    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.

    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.

    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.