Engaging Mathematics, Volume 1: Precalculus Page 6 (7 of 151)

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Properties of Logarithms, Activity 2 P(5)(G) ................................................... 239
Properties of Logarithms, Activity 3 P(5)(G) ................................................... 241
Logarithmic Equations, Activity 1 P(5)(H) ...................................................... 243
Logarithmic Equations, Activity 2 P(5)(H) ...................................................... 245
Exponential Equations, Activity 1 P(5)(I) ....................................................... 247
Exponential Equations, Activity 2 P(5)(I) ....................................................... 249
Polynomial Equations, Activity 1 P(5)(J) ........................................................ 253
Polynomial Equations, Activity 2 P(5)(J) ........................................................ 255
Polynomial Inequalities, Activity 1 P(5)(K) ..................................................... 257
Polynomial Inequalities, Activity 2 P(5)(K) ..................................................... 261
Rational Inequalities, Activity 1 P(5)(L) ......................................................... 263
Rational Inequalities, Activity 2 P(5)(L) ......................................................... 265
Trigonometric Expressions, Activity 1 P(5)(M) ................................................ 267
Trigonometric Expressions, Activity 2 P(5)(M) ................................................ 271
Trigonometric Equations, Activity 1 P(5)(N) ................................................... 275
Trigonometric Equations, Activity 2 P(5)(N) ................................................... 277

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Engaging Mathematics, Volume 1: Precalculus resources

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Properties of Logarithms, Activity 2 P(5)(G) ................................................... 239
Properties of Logarithms, Activity 3 P(5)(G) ................................................... 241
Logarithmic Equations, Activity 1 P(5)(H) ...................................................... 243
Logarithmic Equations, Activity 2 P(5)(H) ...................................................... 245
Exponential Equations, Activity 1 P(5)(I) ....................................................... 247
Exponential Equations, Activity 2 P(5)(I) ....................................................... 249
Polynomial Equations, Activity 1 P(5)(J) ........................................................ 253
Polynomial Equations, Activity 2 P(5)(J) ........................................................ 255
Polynomial Inequalities, Activity 1 P(5)(K) ..................................................... 257
Polynomial Inequalities, Activity 2 P(5)(K) ..................................................... 261
Rational Inequalities, Activity 1 P(5)(L) ......................................................... 263
Rational Inequalities, Activity 2 P(5)(L) ......................................................... 265
Trigonometric Expressions, Activity 1 P(5)(M) ................................................ 267
Trigonometric Expressions, Activity 2 P(5)(M) ................................................ 271
Trigonometric Equations, Activity 1 P(5)(N) ................................................... 275
Trigonometric Equations, Activity 2 P(5)(N) ................................................... 277

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Parametric Equations and Rectangular Relations, Activity 1 P(3)(B) ................... 107
Parametric Equations and Rectangular Relations, Activity 2 P(3)(B) ................... 109
Parametric Equations in Context P(3)(C) ....................................................... 113
Polar Coordinates, Activity 1 P(3)(D) ............................................................ 115
Polar Coordinates, Activity 2 P(3)(D) ............................................................ 117
Graphing Polar Equations, Activity 1 P(3)(E) .................................................. 121
Graphing Polar Equations, Activity 2 P(3)(E) .................................................. 123
Intersection of Double Napped Cones and Planes P(3)(F) ................................. 125
Definitions of Conics, Activity 1 P(3)(G) ......................................................... 127
Definitions of Conics, Activity 2 P(3)(G) ......................................................... 129
Ellipses, Activity 1 P(3)(H) .......................................................................... 131
Ellipses, Activity 2 P(3)(H) .......................................................................... 133
Hyperbolas, Activity 1 P(3)(I) ...................................................................... 135
Hyperbolas, Activity 2 P(3)(I) ...................................................................... 137
Number and Measure ............................................................................ 141–206
Periodic Functions, Activity 1 P(4)(A) ............................................................ 141
Periodic Functions, Activity 2 P(4)(A) ............................................................ 143
Periodic Functions, Activity 3 P(4)(A), P(4)(C) ............................................... 145
Degree Measures and Radian Measures, Activity 1 P(4)(B), P(4)(D) .................. 147
Degree Measures and Radian Measures, Activity 2 P(4)(B) ............................... 149
Degree Measures and Radian Measures, Activity 3 P(4)(B) ............................... 151
Reference Angles, Activity 1 P(4)(C) ............................................................. 155
Reference Angles, Activity 2 P(4)(C) ............................................................. 157
Reference Angles, Activity 3 P(4)(C) ............................................................. 159
Linear and Angular Velocity, Activity 1 P(4)(D) ............................................... 163
Linear and Angular Velocity, Activity 2 P(4)(D) ............................................... 165
Trigonometric Ratios, Activity 1 P(4)(E)......................................................... 169
Trigonometric Ratios, Activity 2 P(4)(E)......................................................... 171
Trigonometric Ratios, Activity 3 P(4)(E)......................................................... 175
Trigonometry Applications, Activity 1 P(4)(F) ................................................. 177
Trigonometry Applications, Activity 2 P(4)(F) ................................................. 181
Law of Sines, Activity 1 P(4)(G) ................................................................... 185
Law of Sines, Activity 2 P(4)(G) ................................................................... 189
Law of Cosines, Activity 1 P(4)(H) ................................................................ 191
Law of Cosines, Activity 2 P(4)(H) ................................................................ 193
Modeling with Vectors P(4)(I) ...................................................................... 195
Vector Operations, Activity 1 P(4)(J) ............................................................. 197
Vector Operations, Activity 2 P(4)(J), P(4)(K) ................................................. 199
Vector Applications, Activity 1 P(4)(K) ........................................................... 203
Vector Applications, Activity 2 P(4)(K) ........................................................... 205
Algebraic Reasoning .............................................................................. 207–280
Sequences and Series P(5)(A) ..................................................................... 207
Representing Sequences with Recursive Formulas, Activity 1 P(5)(B) ................ 211
Representing Sequences with Recursive Formulas, Activity 2 P(5)(B) ................ 213
Arithmetic Sequences, Activity 1 P(5)(C) ....................................................... 215
Arithmetic Sequences, Activity 2 P(5)(C) ....................................................... 219
Arithmetic Sequences, Activity 3 P(5)(C) ....................................................... 221
Series, Activity 1 P(5)(D) ............................................................................ 223
Series, Activity 2 P(5)(D) ............................................................................ 225
Geometric Series, Activity 1 P(5)(E) ............................................................. 227
Geometric Series, Activity 2 P(5)(E) ............................................................. 231
Binomial Theorem P(5)(F) ........................................................................... 233
Properties of Logarithms, Activity 1 P(5)(G) ................................................... 235

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Engaging Mathematics, Volume 1: Precalculus resources

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What is Engaging Mathematics, Volume I: Precalculus?

An instructional resource featuring 110 Texas Essential Knowledge and Skills
(TEKS)-based, classroom-ready mathematics activities that each take approximately
15 to 20 minutes to complete.

A TEKS-based resource that addresses each of the Precalculus TEKS.
Engaging Mathematics, Volume I complements teachers existing
resources and provides—
 Rigorous problem-solving tasks;
 Manipulative-based tasks;
 Vocabulary development tasks; and
 Sorting and classifying tasks.

A resource that supports high-quality, research-based practices by providing activities
that can be used for various purposes, including—

 Engaging warm-ups and opening tasks that draw students into relevant
and challenging mathematics;
 Instructional support for all students to help learners articulate, refine, and retain
important mathematical concepts, processes, and skills;
 Short-cycle, formative assessments that provide immediate and ongoing
feedback to guide instruction for the teacher and learning for the student; and
 Supplemental tasks to support intervention strategies.

A resource that incorporates the mathematical process standards by
promoting—
 Reasoning, generalizing, and problem-solving in
mathematical and real-world contexts;
 Modeling, using tools, and connecting
representations;
 Analysis; and
 Communication.

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Engaging Mathematics, Volume 1: Precalculus resources

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Engaging Mathematics, Volume 1: Precalculus resources

Engaging Mathematics, Volume 1: Precalculus resources