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Big Ideas Math Precalculus (2024 edition)

Larson and Boswell's HS-only Big Ideas Learning precalculus textbook. Same author as the college Larson Precalculus 11e and Larson Precalculus with Limits 5e, but distinct K-12 imprint with Essential Questions / Mathematical Practices framing and more visual concept-driven scaffolding. 11 chapters with a Ch 11 limits/intro-calc preview that bridges to AP Calc; distinctive Ch 10 Analytic Geometry in 3D that Larson's college precalc texts don't include. Distributed by National Geographic Learning / Cengage to the K-12 market — high adoption in CCSS-aligned HS districts.

10 chapters 263 lessons Guided notes for every video
Chapters

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Chapter 1

Functions and Their Graphs

Coordinate geometry, graphs of equations, linear functions, function definition and properties, library of parent functions, transformations, function composition, and inverse functions. Identical scope to Larson Precalculus with Limits Ch 1.

9 sections
Chapter 2

Polynomial and Rational Functions

Quadratic and higher-degree polynomial functions, polynomial division, complex numbers, zeros of polynomials including the FTA, rational functions, and nonlinear inequalities. Identical scope to Larson Precalculus with Limits Ch 2.

7 sections
Chapter 3

Exponential and Logarithmic Functions

Exponential and logarithmic functions, properties of logarithms, equations and modeling — identical to Larson Precalc with Limits Ch 3.

5 sections
Chapter 4

Trigonometric Functions

Angle measure, unit circle and right-triangle trig, trig of any angle, graphs of all six trig functions, inverse trig, and applications and modeling — identical to Larson Precalc with Limits Ch 4.

8 sections
Chapter 5

Analytic Trigonometry

Fundamental identities, verifying identities, solving trigonometric equations, sum/difference formulas, and multiple-angle/product-to-sum formulas.

6 sections
Chapter 6

Additional Topics in Trigonometry

Law of Sines, Law of Cosines, vectors in the plane, dot product, and trigonometric form of complex numbers — same scope as Larson Precalc with Limits Ch 6.

5 sections
Chapter 7

Systems of Equations and Matrices

Systems of linear and nonlinear equations, multivariate systems, matrices and matrix operations, inverse and determinant of a square matrix, and applications. Combines Larson Precalc with Limits Ch 7 (Sys) + Ch 8 (Matrices).

7 sections
Chapter 8

Sequences, Series, and Probability

Sequences (arithmetic, geometric), series and partial sums, mathematical induction, the Binomial Theorem, counting principles, and probability. Same scope as Larson Precalc with Limits Ch 9.

4 sections
Chapter 9

Topics in Analytic Geometry

Lines (review of two-variable linear), conic sections (parabola, ellipse, hyperbola), polar coordinates, and graphs of polar equations — same as Larson Precalc with Limits Ch 10.

6 sections
Chapter 11

Limits and an Introduction to Calculus

AP-Calc-prep preview chapter — limits, the tangent line problem (introducing the derivative), limits at infinity / sequences, and the area problem (introducing the definite integral). Cross-listed from M2231 keys; same approach as Larson Precalc with Limits Ch 11.

5 sections