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El. knyga: Pre-Calculus Workbook

  • Formatas: 128 pages
  • Išleidimo metai: 02-Jan-2019
  • Leidėjas: Mark Twain Media
  • Kalba: eng
  • ISBN-13: 9781483855004
  • Formatas: 128 pages
  • Išleidimo metai: 02-Jan-2019
  • Leidėjas: Mark Twain Media
  • Kalba: eng
  • ISBN-13: 9781483855004

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The Pre-Calculus workbook provides students with an overview of the skills in algebra, functions, trigonometry, analytic geometry, and graphical analysis that are crucial to success in higher-level mathematics, such as calculus. It also constructs a bridge to calculus by providing some introductory insight into sequences and series. Explanations of the concepts, definitions of key vocabulary, and detailed examples of problems and solutions are followed by practice exercises.The Middle/Upper Grades Math Series books provide students in middle school, junior high, and high school with instruction and practice in the fundamentals of math so they can transition to higher-order math concepts with confidence. Clear explanations, numerous practice exercises, and frequent reviews provide students with the tools for success in pre-algebra, algebra, statistics and probability, and pre-calculus.Correlated to current national, state, and provincial standards.Mark Twain Media Publishing Company specializes in providing engaging supplemental books and decorative resources to complement middle- and upper-grade classrooms. Designed by leading educators, the product line covers a range of subjects including mathematics, sciences, language arts, social studies, history, government, fine arts, and character. The Pre-Calculus workbook provides students with an overview of the skills in algebra, functions, trigonometry, analytic geometry, and graphical analysis that are crucial to success in higher-level mathematics, such as calculus.
Introduction: To the Teacher iv
Lesson One Algebra Fundamentals: A Review
1(12)
Number Systems
1(1)
Natural Numbers (Counting Numbers)
2(1)
Whole Numbers
2(1)
Integers
2(1)
Rational Numbers
3(1)
Irrational Numbers
3(1)
Real Numbers
4(1)
Complex Numbers
4(2)
Properties of the Real Numbers
6(1)
Some Operations on Complex Numbers
6(2)
Exercises
8(5)
Lesson Two Linear Functions and Equations
13(8)
Linear Relations
13(1)
Linear Equations
13(1)
The Graph of a Linear Equation
14(1)
Linear Equations From Two Points
14(1)
The Slope of a Linear Equation
15(1)
The Vertical and Horizontal Intercepts
16(1)
Forms of Linear Equations
16(1)
Parallel and Perpendicular Lines
17(1)
Linear Functions
18(1)
Exercises
19(2)
Lesson Three Linear Inequalities
21(9)
Inequalities
21(2)
Some Real Number Properties
23(2)
Linear Inequalities
25(1)
Graphing Absolute Value Functions
26(2)
Exercises
28(2)
Lesson Four Quadratic Functions
30(25)
Quadratic Functions and Equations
30(3)
Solutions to Quadratic Equations
33(4)
Exercises
37(1)
Lesson Five Polynomials and Rational Expressions
38(1)
Polynomials
38(1)
Adding and Subtracting Polynomials
39(1)
Multiplying Polynomials
39(1)
Dividing Polynomials
40(4)
Factoring Polynomials
44(2)
Partial Fraction Decomposition
46(2)
Rational Expressions
48(3)
Exercises
51(4)
Lesson Six Exponentials and Logarithms
55(23)
Exponential Functions
55(1)
Graphing Exponential Functions
56(2)
Multiplying and Dividing Exponential Functions
58(1)
The Irrational Number e
59(1)
Logarithms
60(2)
Antilogarithms
62(2)
Exercises
64(4)
Lesson Seven Trigonometric Functions
68(1)
Angles
68(2)
Trigonometric Functions
70(4)
A Trigonometric Identity
74(1)
The Inverse Trigonometric Functions
74(2)
Exercises
76(2)
Lesson Eight Trigonometry
78(8)
Right-Triangle Trigonometry
78(2)
Trigonometric Formulas
80(3)
Exercises
83(3)
Lesson Nine Graphing Functions
86(16)
Graphing a Function
86(5)
Descriptive Properties of Function Graphs
91(3)
Log-Linear and Log-Log Graphs
94(2)
Polar Graphs
96(3)
Exercises
99(3)
Lesson Ten Sequences and Series
102(13)
Sequences
102(3)
Series
105(4)
The Binomial Theorem
109(2)
Exercises
111(4)
Pre-Calculus Vocabulary 115(2)
Answer Keys 117