Precalculus, 4th Edition

Crosswalk Target

Cynthia Y. Young

John Wiley & Sons, 2023commercial textbookGrade 11-12precalculus

John Wiley & Sons, 4th edition (2023). ISBN 978-1-119-86938-2. Author: Cynthia Y. Young. 12 chapters (0-11), 69 sections: Review of Equations/Inequalities, Functions and Their Graphs, Polynomial/Rational Functions, Exponential/Logarithmic Functions, Trigonometric Functions of Angles, Trigonometric Functions of Real Numbers, Analytic Trigonometry, Vectors/Complex Plane/Polar Coordinates, Systems of Linear Equations and Inequalities, Conics and Nonlinear Systems, Sequences and Series, and Limits. Mapping granularity is the section (3.4); the book's subsections (3.4.1) are folded into in_scope rather than made refs. Crosswalks: HSF, HSA, HSN, HSG, HSS, SAT, ACT. 245 mappings covering 57 of 69 sections. The 12 unmapped sections are polar and parametric work, rotation of axes, mathematical induction, and all of Chapter 11 (limits) — beyond every curriculum in this repo. All Common Core mapped nodes carry briefs and slides; the SAT and ACT crosswalks point at many nodes not yet populated.

What is a crosswalk?

A crosswalk maps the lessons in this course to Common Core and other standards-based content. Each lesson below is linked to the corresponding content node(s), so you can quickly find slides, briefs, or other resources that cover the same material. This is how we respect the copyright of the original curriculum while still making the content accessible to teachers and students.

Crosswalked by Other Curricula

These curricula have content mapped to this course.

ACT Math

act-math

Common Core Math - HS Algebra

common-core-math-hsa

Common Core Math - HS Functions

common-core-math-hsf

Common Core Math - HS Geometry

common-core-math-hsg

Common Core Math - HS Number and Quantity

common-core-math-hsn

Common Core Math - HS Statistics and Probability

common-core-math-hss

Digital SAT Math

sat-math

Outline Structure

Structural index only — no lesson content is stored for restricted curricula.

Chapter 0Review: Equations and Inequalities

8/8 mapped

0.1
Linear Equations
act-alg-linear-solve act-alg-linear-model hsa-sse-a-1 hsa-ced-a-1 hsa-ced-a-4 hsa-rei-a-1 hsa-rei-b-3 sat-alg-lin1-solve sat-alg-lin1-model sat-alg-lin1-literal sat-alg-lin1-numsol sat-alg-lin1-interp
0.2
Quadratic Equations
act-alg-poly-factor act-alg-poly-quadsolve act-alg-poly-discrim hsa-sse-a-2 hsa-ced-a-1 hsa-rei-b-4 hsf-if-c-8a hsn-cn-c-7 sat-adv-equiv-factor sat-adv-equiv-ctsq sat-adv-nonlineq-quad sat-adv-nonlineq-discrim
0.3
Other Types of Equations
act-alg-ratrad-ratlsolve act-alg-ratrad-radsolve act-alg-expabs-abs hsa-sse-a-2 hsa-rei-a-2 hsn-rn-a-1 hsn-rn-a-2 sat-adv-equiv-structure sat-adv-nonlineq-radical sat-adv-nonlineq-rational sat-adv-nonlineq-abs
0.4
Inequalities
act-alg-expabs-abs hsa-rei-b-3 sat-alg-ineq-solve sat-alg-ineq-compound sat-alg-ineq-graph
0.5
Graphing Equations
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0.6
Lines
act-geo-coord-slope act-alg-linear-forms act-alg-linear-parperp hsa-ced-a-2 hsf-le-a-2 hsg-gpe-b-5 sat-alg-lin2-forms sat-alg-lin2-write sat-alg-lin2-parperp sat-alg-lin2-interp
0.7
Modeling Variation
act-alg-seq-variation sat-psda-ratio-direct
0.8
Linear Regression: Best Fit
act-sp-bivar-predict hss-id-b-6 hss-id-b-6a hss-id-b-6c hss-id-c-7 hss-id-c-8 sat-psda-2var-scatter sat-psda-2var-interp sat-psda-2var-model

Chapter 1Functions and Their Graphs

5/5 mapped

1.1
Functions
act-fn-fund-def act-fn-fund-notation act-fn-fund-domain hsf-if-a-1 hsf-if-a-2 hsf-if-b-5 hsf-bf-a-1a sat-alg-linfn-notation sat-alg-linfn-eval
1.2
Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change
act-fn-radical-piecewise hsf-if-b-4 hsf-if-b-6 hsf-if-c-7b hsf-if-c-9 sat-alg-linfn-compare
1.3
Graphing Techniques: Transformations
act-fn-transform-shift act-fn-transform-stretch act-fn-transform-combined hsf-bf-b-3 sat-adv-nonlinfn-transform
1.4
Operations on Functions and Composition of Functions
act-fn-ops-compose act-fn-ops-arithmetic hsf-bf-a-1b hsf-bf-a-1c sat-adv-nonlinfn-compose
1.5
One-to-One Functions and Inverse Functions
act-fn-ops-inverse hsf-bf-b-4a hsf-bf-b-4b hsf-bf-b-4c hsf-bf-b-4d

Chapter 2Polynomial and Rational Functions

6/6 mapped

2.1
Quadratic Functions
hsa-sse-b-3 hsf-if-c-7a hsf-if-c-8a sat-adv-nonlinfn-quad sat-adv-nonlinfn-quadfeat
2.2
Polynomial Functions of Higher Degree
act-fn-poly-endbehavior act-fn-poly-zeros hsa-apr-b-3 hsf-if-c-7c sat-adv-nonlinfn-poly
2.3
Dividing Polynomials: Long Division and Synthetic Division
hsa-apr-a-1 sat-adv-equiv-polyops
2.4
The Real Zeros of a Polynomial Function
act-alg-poly-higher hsa-apr-b-2 hsa-apr-b-3
2.5
Complex Zeros: The Fundamental Theorem of Algebra
hsa-apr-c-4 hsn-cn-c-7 hsn-cn-c-8 hsn-cn-c-9
2.6
Rational Functions
hsa-apr-d-7 hsf-if-c-7d sat-adv-equiv-rational sat-adv-nonlinfn-ratl

Chapter 3Exponential and Logarithmic Functions

5/5 mapped

3.1
Exponential Functions and Their Graphs
act-fn-exp-params hsf-if-c-7e hsf-if-c-8b hsf-le-a-2 sat-adv-nonlinfn-exp
3.2
Logarithmic Functions and Their Graphs
act-fn-log-types act-fn-log-def hsf-if-c-7e hsf-bf-b-5
3.3
Properties of Logarithms
act-fn-log-props
3.4
Exponential and Logarithmic Equations
act-fn-log-solve hsf-bf-b-5 hsf-le-a-4
3.5
Exponential and Logarithmic Models
act-fn-exp-growdecay hsf-le-a-3 hsf-le-b-5 sat-adv-nonlinfn-expinterp sat-adv-nonlinfn-modeltype

Chapter 4Trigonometric Functions of Angles

5/5 mapped

4.1
Angle Measure
act-geo-trig-radian hsf-tf-a-1 hsg-c-b-5 sat-geotrig-circ-arc sat-geotrig-circ-radian sat-geotrig-rt-radian
4.2
Right Triangle Trigonometry
act-geo-trig-ratios act-geo-trig-recip act-geo-trig-solve hsf-tf-a-3 hsg-srt-c-6 hsg-srt-c-7 hsg-srt-c-8 sat-geotrig-rt-trig sat-geotrig-rt-solve sat-geotrig-rt-special sat-geotrig-rt-comp sat-geotrig-rt-pythag
4.3
Trigonometric Functions of Angles
hsf-tf-a-3
4.4
The Law of Sines
act-geo-trig-lawsines hsg-srt-d-10 hsg-srt-d-11
4.5
The Law of Cosines
act-geo-trig-lawcosines hsg-srt-d-9 hsg-srt-d-10 hsg-srt-d-11

Chapter 5Trigonometric Functions of Real Numbers

3/3 mapped

5.1
Trigonometric Functions: The Unit Circle Approach
act-geo-trig-unitcircle hsf-tf-a-2 hsf-tf-a-4
5.2
Graphs of Sine and Cosine Functions
act-geo-trig-graphs hsf-if-c-7e hsf-tf-b-5
5.3
Graphs of Other Trigonometric Functions
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Chapter 6Analytic Trigonometry

5/6 mapped

6.1
Trigonometric Identities
act-geo-trig-pythagid hsf-tf-c-8
6.2
Sum and Difference Identities
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6.3
Double-Angle and Half-Angle Identities
act-geo-trig-doublesum
6.4
Product-to-Sum and Sum-to-Product Identities
6.5
Inverse Trigonometric Functions
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6.6
Trigonometric Equations
hsf-tf-b-7

Chapter 7Vectors, the Complex Plane, and Polar Coordinates

4/5 mapped

7.1
Vectors
act-nq-vecmat-vec act-nq-vecmat-vecmag hsn-vm-a-1 hsn-vm-a-2 hsn-vm-a-3 hsn-vm-b-4 hsn-vm-b-5
7.2
The Dot Product
hsn-vm-a-3
7.3
Polar (Trigonometric) Form of Complex Numbers
act-nq-complex-def act-nq-complex-ops hsn-cn-a-1 hsn-cn-a-2 hsn-cn-b-4 hsn-cn-b-6
7.4
Products, Quotients, Powers, and Roots of Complex Numbers
act-nq-complex-conj hsn-cn-a-2 hsn-cn-a-3 hsn-cn-b-5
7.5
Polar Coordinates and Graphs of Polar Equations

Chapter 8Systems of Linear Equations and Inequalities

7/7 mapped

8.1
Systems of Linear Equations in Two Variables
act-alg-sys-solve act-alg-sys-numsol hsa-rei-c-5 hsa-rei-c-6 hsa-rei-d-11 sat-alg-sys-solve sat-alg-sys-numsol sat-alg-sys-model
8.2
Systems of Linear Equations in Three Variables
hsa-rei-c-6
8.3
Systems of Linear Equations and Matrices
hsa-rei-c-8 hsn-vm-c-6
8.4
Matrix Algebra
act-nq-vecmat-matops act-nq-vecmat-matsys act-alg-sys-matrix hsa-rei-c-9 hsn-vm-c-7 hsn-vm-c-8 hsn-vm-c-9 hsn-vm-c-10 hsn-vm-c-11
8.5
The Determinant of a Square Matrix and Cramer's Rule
act-nq-vecmat-det act-alg-sys-matrix hsa-rei-c-9 hsn-vm-c-12
8.6
Partial Fractions
hsa-apr-d-6
8.7
Systems of Linear Inequalities in Two Variables
act-alg-sys-ineq hsa-ced-a-3 hsa-rei-d-12 sat-alg-ineq-sys sat-alg-ineq-model

Chapter 9Conics and Systems of Nonlinear Equations and Inequalities

5/9 mapped

9.1
Conic Basics
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9.2
The Parabola
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9.3
The Ellipse
act-geo-conic-ellipse hsg-gpe-a-3
9.4
The Hyperbola
act-geo-conic-hyperbola hsg-gpe-a-3
9.5
Systems of Nonlinear Equations
hsa-rei-c-7 sat-adv-nonlineq-sys
9.6
Systems of Nonlinear Inequalities
9.7
Rotation of Axes
9.8
Polar Equations of Conics
9.9
Parametric Equations and Graphs

Chapter 10Sequences and Series

4/5 mapped

10.1
Sequences and Series
hsf-if-a-3
10.2
Arithmetic Sequences and Series
act-alg-seq-arith hsf-bf-a-2
10.3
Geometric Sequences and Series
act-alg-seq-geom hsa-sse-b-4 hsf-bf-a-2
10.4
Mathematical Induction
10.5
The Binomial Theorem
act-sp-counting-comb hsa-apr-c-5

Chapter 11Limits: A Preview to Calculus

0/5 mapped

11.1
Introduction to Limits: Estimating Limits Numerically and Graphically
11.2
Techniques for Finding Limits
11.3
Tangent Lines and Derivatives
11.4
Limits at Infinity; Limits of Sequences
11.5
Finding the Area Under a Curve

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