utah core curriculum for mathematics - mcdougal · pdf filelesson 3.6 (pp. 195 - 202) multiply...

correlated to

UtahCore Curriculumfor MathematicsIntermediateAlgebra

Utah Core Curriculum for Mathematics

Intermediate Algebra

correlated to

McDougal Littell Algebra 2 ©2007



Chapter 1 Equations and Inequalities (pp. 1 - 69) Lesson 1.1 (pp. 2 - 9) Apply Properties of Real Numbers

Lesson 1.2 (pp. 10 - 17) Evaluate and Simplify Algebraic Equations

Lesson 1.3 (pp. 18 - 25) Solve Linear Equations

Lesson 1.4 (pp. 26 - 33) Rewrite Formulas and Equations

Lesson 1.5 (pp. 34 - 40) Use Problem Solving Strategies and Models

Lesson 1.6 (pp. 41 - 49) Solve Linear Inequalities

2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b].

Lesson 1.7 (pp. 50 - 59) Solve Absolute Value Equations and Inequalities

2.2.b Solve first-degree absolute value equations. 2.2.d Solve single-variable quadratic and absolute value inequalities. 2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b]. 3.1.b Sketch the solutions of absolute value and quadratic inequalities of one variable on a number line.

1

Utah Core Curriculum for Mathematics: Intermediate Algebra correlated to McDougal Littell Algebra 2 ©2007

2



Chapter 2 Linear Equations and Functions (pp. 70 - 149) Lesson 2.1 (pp. 72 - 81) Represent Relations and Functions

2.1.a Compare and contrast relations and functions. 2.1.c Use function notation. 2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b].

Lesson 2.2 (pp. 82 - 88) Find Slope and Rate of Change

2.2.b Solve first-degree absolute value equations. 2.2.d Solve single-variable quadratic and absolute value inequalities.

Lesson 2.3 (pp. 89 - 97) Graph Equations of Lines

Lesson 2.4 (pp. 98 - 106) Write Equations of Lines


Lesson 2.5 (pp. 107 - 111) Model Direct Variation

2.2.d Solve single-variable quadratic and absolute value inequalities. 3.1.b Sketch the solutions of absolute value and quadratic inequalities of one variable on a number line.

Lesson 2.6 (pp. 112 - 120) Draw Scatter Plots and Best-Fitting Lines

5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data. 5.1.c Make predictions and estimations and determine their reasonableness using a regression equation.

Lesson 2.7 (pp. 121 - 131) Use Absolute Value Functions and Transformations

2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b]. 3.1.a Sketch the graph of a quadratic and absolute value function. 3.1.g Perform the transformations of stretching, shifting, and reflecting the graphs of linear, absolute value, quadratic, and radical functions. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically.


3



Lesson 2.8 (pp. 132 - 139) Graph Linear Inequalities in Two Variables

3.1.a Sketch the graph of a quadratic and absolute value function. 3.1.c Sketch the solutions of absolute value and quadratic inequalities of two variables on a Cartesian coordinate system. 3.1.g Perform the transformations of stretching, shifting, and reflecting the graphs of linear, absolute value, quadratic, and radical functions.


4



Chapter 3 Linear Systems and Matrices (pp. 150 - 233) Lesson 3.1 (pp. 152 - 159) Solve Linear Systems by Graphing

2.2.b Solve first-degree absolute value equations. 2.2.f Solve systems of equations with no more than three variables using technology.

Lesson 3.2 (pp. 160 - 167) Solve Linear Systems Algebraically

2.2.b Solve first-degree absolute value equations.

Lesson 3.3 (pp. 168 - 176) Graph Systems of Linear Inequalities

2.2.g Solve and graph systems of linear inequalities.

Lesson 3.4 (pp. 177 – 186) Solve Systems of Linear Equations in Three Variables

2.2.g Solve and graph systems of linear inequalities.

Lesson 3.5 (pp. 187 - 194) Perform Basic Matrix Operations

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 1.3.a Identify matrices that can be added, subtracted, or multiplied.

Lesson 3.6 (pp. 195 - 202) Multiply Matrices

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 1.3.a Identify matrices that can be added, subtracted, or multiplied. 1.3.b Demonstrate that matrix multiplication is not commutative.

Lesson 3.7 (pp. 203 - 209) Evaluate Determinants and Apply Cramer’s Rule

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 2.2.g Solve and graph systems of linear inequalities.

Lesson 3.8 (pp. 210 - 219) Use Inverse Matrices to Solve Linear Systems

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 1.1.d Find the multiplicative inverse of a matrix using paper and pencil for a 2 x 2 and technology for larger matrices. 1.3.c Identify additive and multiplicative identities and inverses of a matrix when they exist. 2.2.f Solve systems of equations with no more than three variables using technology.


5



Chapter 4 Quadratic Functions and Factoring (pp. 234 - 327) Lesson 4.1 (pp. 236 - 244) Graph Quadratic Functions in Standard Form

2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 2.3.b Find the vertex, maximum or minimum values, intercepts, and axis of symmetry of a quadratic or absolute value function, algebraically, graphically, and numerically. 3.1.a Sketch the graph of a quadratic and absolute value function. 3.1.g Perform the transformations of stretching, shifting, and reflecting the graphs of linear, absolute value, quadratic, and radical functions. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically.

Lesson 4.2 (pp. 245 - 251) Graph Quadratic Functions in Vertex or Intercept Form

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 1.3.a Identify matrices that can be added, subtracted, or multiplied. 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 2.3.b Find the vertex, maximum or minimum values, intercepts, and axis of symmetry of a quadratic or absolute value function, algebraically, graphically, and numerically. 3.1.a Sketch the graph of a quadratic and absolute value function. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically.


6



Lesson 4.3 (pp. 252 - 258) Solve x2 + bx + c = o by Factoring

2.2.a Solve quadratic equations. 2.2.b Solve first-degree absolute value equations. 2.2.e Write a quadratic equation when given the rational roots or zeroes of the function. 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 2.3.b Find the vertex, maximum or minimum values, intercepts, and axis of symmetry of a quadratic or absolute value function, algebraically, graphically, and numerically. 3.1.a Sketch the graph of a quadratic and absolute value function. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically.

Lesson 4.4 (pp. 259 - 265) Solve ax2 + bx + c = o by Factoring

2.2.a Solve quadratic equations. 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 3.1.a Sketch the graph of a quadratic and absolute value function. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically.

Lesson 4.5 (pp. 266 - 274) Solve Quadratic Equations by Finding Square Roots

1.2.c Simplify expressions involving radical expressions including square roots of negative numbers. 2.2.a Solve quadratic equations. 2.2.b Solve first-degree absolute value equations. 2.2.d Solve single-variable quadratic and absolute value inequalities. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically. 5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data.


7



Lesson 4.6 (pp. 275 - 282) Perform Operations with Complex Numbers

1.1.b Add, subtract, and multiply complex numbers. 1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 1.2.a Extend the number system to include complex numbers in the form a + bi. 1.2.b Identify the need for the square root of a negative number and define the imaginary number i = √-1 2.2.a Solve quadratic equations.

Lesson 4.7 (pp. 283 - 291) Complete the Square

1.1.b Add, subtract, and multiply complex numbers. 2.2.a Solve quadratic equations. 2.2.g Solve and graph systems of linear inequalities. 2.3.b Find the vertex, maximum or minimum values, intercepts, and axis of symmetry of a quadratic or absolute value function, algebraically, graphically, and numerically. 2.3.c Write the equation of a parabola in the form y = a(x - h)2 + k and a circle in the form y = a(x - h)2 + (y - k)2 = r2 by completing the square. 3.2.a Solve problems involving absolute value and quadratic functions algebraically and graphically.

Lesson 4.8 (pp. 292 - 299) Use the Quadratic Formula and the Discriminant

2.2.a Solve quadratic equations. 2.2.e Write a quadratic equation when given the rational roots or zeroes of the function.


8



Lesson 4.9 (pp. 300 - 307) Graph and Solve Quadratic Inequalities

2.2.d Solve single-variable quadratic and absolute value inequalities. 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 3.1.a Sketch the graph of a quadratic and absolute value function. 3.1.b Sketch the solutions of absolute value and quadratic inequalities of one variable on a number line. 3.1.c Sketch the solutions of absolute value and quadratic inequalities of two variables on a Cartesian coordinate system.

Lesson 4.10 (pp. 308 - 315) Write Quadratic Functions and Models

2.2.d Solve single-variable quadratic and absolute value inequalities. 2.2.e Write a quadratic equation when given the rational roots or zeroes of the function. 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 3.1.c Sketch the solutions of absolute value and quadratic inequalities of two variables on a Cartesian coordinate system. 3.1.e Write an equation of a parabola in the form y = a(x - h)2 + k when given a graph. 5.1.a Determine the quadratic regression equation for a given set of bivariate data using technology. 5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data. 5.1.c Make predictions and estimations and determine their reasonableness using a regression equation.


9



Chapter 5 Polynomials and Polynomial Functions (pp. 328 - 411) Lesson 5.1 (pp. 330 - 335) Use Properties of Exponents

1.1.b Add, subtract, and multiply complex numbers. 2.2.i Recognize that a–n is defined as the reciprocal of an, i.e., a –n = 1/an if a ≠ 0

Lesson 5.2 (pp. 336 - 345) Evaluate and Graph Polynomial Functions

2.1.c Use function notation. 2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b].

Lesson 5.3 (pp. 346 - 352) Add, Subtract and Multiply Polynomials

2.2.i Recognize that a–n is defined as the reciprocal of an, i.e., a –n = 1/an if a ≠ 0

Lesson 5.4 (pp. 353 - 361) Factor and Solve Polynomial Equations

Lesson 5.5 (pp. 362 - 368) Apply the Remainder and Factor Theorems

Lesson 5.6 (pp. 370 - 378) Find Rational Zeros

2.2.b Solve first-degree absolute value equations.

Lesson 5.7 (pp. 379 - 386) Apply the Fundamental Theorem of Algebra

Lesson 5.8 (pp. 387 - 392) Analyze Graphs of Polynomial Functions

Lesson 5.9 (pp. 393 - 399) Write Polynomial Functions and Models

5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data. 5.1.c Make predictions and estimations and determine their reasonableness using a regression equation.


10



Chapter 6 Rational Exponents and Radical Functions (pp. 412 - 475) Lesson 6.1 (pp. 414 - 419) Evaluate nth Roots and Use Rational Exponents

2.2.i Recognize that a–n is defined as the reciprocal of an, i.e., a –n = 1/an if a ≠ 0 2.2.j Recognize that rational exponents are used to represent radicals, i.e., a p/q = q √ap = (q √a) p if a > 0

Lesson 6.2 (pp. 420 - 427) Apply Properties of Rational Exponents

1.1.a Simplify numerical expressions with rational exponents. 1.2.c Simplify expressions involving radical expressions including square roots of negative numbers. 2.2.i Recognize that a–n is defined as the reciprocal of an, i.e., a –n = 1/an if a ≠ 0 2.2.j Recognize that rational exponents are used to represent radicals, i.e., a p/q = q √ap = (q √a) p if a > 0

Lesson 6.3 (pp. 428 - 436) Perform Function Operations and Composition

2.1.c Use function notation. 2.1.d Find the compositions or combinations of two simple functions.

Lesson 6.4 (pp. 437 - 445) Use Inverse Functions

2.1.c Use function notation. 2.1.d Find the compositions or combinations of two simple functions. 2.1.e Find the inverse of a function by interchanging the values of domain and range, reflecting across the line y = x, or by using algebra.

Lesson 6.5 (pp. 446 - 451) Graph Square Root and Cube Root Functions

2.1.b Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions. 2.1.c Use function notation. 2.1.d Find the compositions or combinations of two simple functions. 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 3.1.d Sketch the graph of a square root function. 3.1.g Perform the transformations of stretching, shifting, and reflecting the graphs of linear, absolute value, quadratic, and radical functions.


11



Lesson 6.6 (pp. 452 - 463) Solve Radical Equations

2.1.b Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions. 2.1.c Use function notation. 2.2.c Solve radical equations including those with extraneous roots. 2.2.i Recognize that a–n is defined as the reciprocal of an, i.e., a –n = 1/an if a ≠ 0 2.2.j Recognize that rational exponents are used to represent radicals, i.e., a p/q = q √ap = (q √a) p if a > 0 2.3.a Interpret rates of change by analyzing graphical and numerical data for quadratic and radical functions. 3.1.d Sketch the graph of a square root function. 3.1.g Perform the transformations of stretching, shifting, and reflecting the graphs of linear, absolute value, quadratic, and radical functions.


12



Chapter 7 Exponential and Logarithmic Functions (pp. 476 - 547) Lesson 7.1 (pp. 478 - 485) Graph Exponential Growth Functions

2.1.c Use function notation.

Lesson 7.2 (pp. 486 - 491) Graph Exponential Decay Functions

2.1.b Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions. 2.1.c Use function notation.

Lesson 7.3 (pp. 492 - 498) Use Functions Involving e

2.1.c Use function notation. 2.1.e Find the inverse of a function by interchanging the values of domain and range, reflecting across the line y = x, or by using algebra. 2.2.b Solve first-degree absolute value equations. 2.2.c Solve radical equations including those with extraneous roots.

Lesson 7.4 (pp. 499 - 506) Evaluate Logarithms and Graph Logarithmic Functions

1.1.a Simplify numerical expressions with rational exponents. 1.2.c Simplify expressions involving radical expressions including square roots of negative numbers. 2.1.c Use function notation. 2.1.e Find the inverse of a function by interchanging the values of domain and range, reflecting across the line y = x, or by using algebra.

Lesson 7.5 (pp. 507 - 514) Apply Properties of Logarithms

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 2.2.c Solve radical equations including those with extraneous roots.

Lesson 7.6 (pp. 515 - 527) Solve Exponential and Logarithmic Equations

2.1.c Use function notation. 5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data.


13



Lesson 7.7 (pp. 528 - 536) Write and Apply Exponential and Power Functions

2.1.c Use function notation. 5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data. 5.1.c Make predictions and estimations and determine their reasonableness using a regression equation.


14



Chapter 8 Rational Functions (pp. 548 - 611) Lesson 8.1 (pp. 550 - 557) Model Inverse and Joint Variation

2.2.c Solve radical equations including those with extraneous roots. 3.1.d Sketch the graph of a square root function.

Lesson 8.2 (pp. 558 - 564) Graph Simple Rational Functions

Lesson 8.3 (pp. 565 - 571) Graph General Rational Functions

2.1.c Use function notation.

Lesson 8.4 (pp. 573 - 581) Multiply and Divide Rational Expressions

2.2.h Add, subtract, multiply, and divide simple rational expressions and solve simple rational equations.

Lesson 8.5 (pp. 582 - 588) Add and Subtract Rational Expressions

2.2.h Add, subtract, multiply, and divide simple rational expressions and solve simple rational equations.

Lesson 8.6 (pp. 589 - 600) Solve Rational Equations

2.2.h Add, subtract, multiply, and divide simple rational expressions and solve simple rational equations. 3.1.d Sketch the graph of a square root function.


15



Chapter 9 Quadratic Relations and Conic Sections (pp. 612 - 679) Lesson 9.1 (pp. 614 - 619) Apply the Distance and Midpoint Formulas

2.2.c Solve radical equations including those with extraneous roots.

Lesson 9.2 (pp. 620 - 625) Graph and Write Equations of Parabolas

Lesson 9.3 (pp. 626 - 633) Graph and Write Equations of Circles

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases.

Lesson 9.4 (pp. 634 - 640) Graph and Write Equations of Ellipses

Lesson 9.5 (pp. 642 - 648) Graph and Write Equations of Hyperbolas

1.3.a Identify matrices that can be added, subtracted, or multiplied. 2.3.c Write the equation of a parabola in the form y = a(x - h)2 + k and a circle in the form y = a(x - h)2 + (y - k)2 = r2 by completing the square.

Lesson 9.6 (pp. 649 - 657) Translate and Classify Conic Sections

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 2.3.c Write the equation of a parabola in the form y = a(x - h)2 + k and a circle in the form y = a(x - h)2 + (y - k)2 = r2 by completing the square.

Lesson 9.7 (pp. 658 - 666) Solve Quadratic Systems

2.2.e Write a quadratic equation when given the rational roots or zeroes of the function.


16



Chapter 10 Counting Methods and Probability(pp. 680 - 741) Lesson 10.1 (pp. 682 - 689) Apply the Counting Principle and Permutations

2.1.e Find the inverse of a function by interchanging the values of domain and range, reflecting across the line y = x, or by using algebra. 5.2.c Calculate simple combinations and permutations of n objects taken r at a time.

Lesson 10.2 (pp. 690 - 697) Use Combinations and the Binomial Theory

2.2.c Solve radical equations including those with extraneous roots. 5.2.a Identify the difference between a permutation and a combination. 5.2.c Calculate simple combinations and permutations of n objects taken r at a time.

Lesson 10.3 (pp. 698 - 705) Define and Use Probability

5.2.a Identify the difference between a permutation and a combination. 5.2.b Calculate a probability using the Fundamental Counting Principle. 5.2.c Calculate simple combinations and permutations of n objects taken r at a time.

Lesson 10.4 (pp. 706 - 716) Find Probabilities of Disjoint and Overlapping Events

Lesson 10.5 (pp. 717 - 723) Find Probabilities of Independent and Dependent Events

2.1.d Find the compositions or combinations of two simple functions.

Lesson 10.6 (pp. 724 - 731) Construct and Interpret Binomial Distributions



17



Chapter 11 Data Analysis and Statistics (pp. 742 - 791) Lesson 11.1 (pp. 744 - 750) Find Measures of Central Tendency and Dispersion

Lesson 11.2 (pp. 751 - 756) Apply Transformations to Data

2.2.c Solve radical equations including those with extraneous roots.

Lesson 11.3 (pp. 757 - 765) Use Normal Distributions

2.1.d Find the compositions or combinations of two simple functions. 2.2.c Solve radical equations including those with extraneous roots.

Lesson 11.4 (pp. 766 - 773) Select and Draw Conclusions from Samples

5.1.b Analyze the meaning of the maximum or minimum and intercepts of the regression equation as they relate to a given set of bivariate data.

Lesson 11.5 (pp. 774 - 782) Choose the Best Model for Two-Variable Data


18



Chapter 12 Sequence and Series (pp. 792 - 849) Lesson 12.1 (pp. 794 - 801) Define and Use Sequences and Series

Lesson 12.2 (pp. 802 - 809) Analyze Arithmetic Sequences and Series

Lesson 12.3 (pp. 810 - 818) Analyze Geometric Sequences and Series

Lesson 12.4 (pp. 819 - 825) Find Sums of Infinite Geometric Series

Lesson 12.5 (pp. 826 - 838) Use Recursive Rules with Sequences and Functions

2.2.j Recognize that rational exponents are used to represent radicals, i.e., a p/q = q √ap = (q √a) p if a > 0


19



Chapter 13 Trigonometric Ratios and Functions (pp. 850 - 905) Lesson 13.1 (pp. 852 - 858) Use Trigonometry with Right Angles

Lesson 13.2 (pp. 859 - 865) Define General Angles and Use Radian Measure

4.1.a Convert angle measurements between radians and degrees. 4.2.a Find the length of an arc using radian measure. 4.2.b Find the area of a sector in a circle using radian measure. 5.2.c Calculate simple combinations and permutations of n objects taken r at a time.

Lesson 13.3 (pp. 866 - 873) Evaluate Trigonometric Functions of Any Angle

2.1.f Relate the sine, cosine, tangent, cosecant, secant, and cotangent to the unit circle. 4.1.b Calculate the exact values of the sine, cosine, and tangent functions for the special angles of the unit circle. 4.2.a Find the length of an arc using radian measure. 4.2.b Find the area of a sector in a circle using radian measure.

Lesson 13.4 (pp. 874 - 880) Evaluate Inverse Trigonometric Functions

2.1.g Express angle measure in degrees or radians when given the trigonometric value. 2.2.c Solve radical equations including those with extraneous roots. 4.1.b Calculate the exact values of the sine, cosine, and tangent functions for the special angles of the unit circle.

Lesson 13.5 (pp. 881 - 888) Apply the Law of Sines

1.1.a Simplify numerical expressions with rational exponents. 1.2.c Simplify expressions involving radical expressions including square roots of negative numbers. 2.1.g Express angle measure in degrees or radians when given the trigonometric value.


20



Lesson 13.6 (pp. 889 - 896) Apply the Law of Cosines

2.1.d Find the compositions or combinations of two simple functions. 3.1.d Sketch the graph of a square root function. 3.1.g Perform the transformations of stretching, shifting, and reflecting the graphs of linear, absolute value, quadratic, and radical functions.


21



Chapter 14 Trigonometric Graphs, Identities and Equations (pp. 906 - 973) Lesson 14.1 (pp. 908 - 914) Graph Sine, Cosine and Tangent Functions

2.3.b Find the vertex, maximum or minimum values, intercepts, and axis of symmetry of a quadratic or absolute value function, algebraically, graphically, and numerically. 3.1.f Graph sine and cosine functions. 3.1.h Perform transformation on the sine and cosine functions involving amplitude, period, phase shift, vertical shift, and reflections. 3.2.b Solve problems using graphs of sine and cosine functions.

Lesson 14.2 (pp. 915 - 922) Translate and Reflect Trigonometric Graphs

3.1.f Graph sine and cosine functions. 3.1.h Perform transformation on the sine and cosine functions involving amplitude, period, phase shift, vertical shift, and reflections. 3.2.b Solve problems using graphs of sine and cosine functions. 4.2.a Find the length of an arc using radian measure. 4.2.b Find the area of a sector in a circle using radian measure. 5.2.c Calculate simple combinations and permutations of n objects taken r at a time.

Lesson 14.3 (pp. 923 - 930) Verify Trigonometric Identities

1.1.c Add, subtract, and multiply matrices using paper and pencil for simple cases and technology for more complicated cases. 2.1.g Express angle measure in degrees or radians when given the trigonometric value. 2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b].


22



Lesson 14.4 (pp. 931 - 940) Solve Trigonometric Equations

2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b]. 3.1.f Graph sine and cosine functions. 3.1.h Perform transformation on the sine and cosine functions involving amplitude, period, phase shift, vertical shift, and reflections. 3.2.b Solve problems using graphs of sine and cosine functions.

Lesson 14.5 (pp. 941 - 948) Write Trigonometric Models

4.1.b Calculate the exact values of the sine, cosine, and tangent functions for the special angles of the unit circle.

Lesson 14.6 (pp. 949 - 954) Apply Sum and Difference Formulas


Lesson 14.7 (pp. 955 - 963) Apply Double-Angle and Half-Angle Formulas

2.2.c Solve radical equations including those with extraneous roots. 2.2.k Represent intervals with correct symbolic notation; e.g., a < x < b, (a, b), [a, b].

UT 20011/2006

2007 CC2

utah core curriculum for mathematics - mcdougal · pdf filelesson 3.6 (pp. 195 - 202) multiply...

Documents