Fall 2026 · Prof. Young & Prof. Volk

Math 130 — Test 3 Review

Sections 5.1–5.3, 5.7, 7.1, and 8.4 in the Fall 2026 instructional sequence. Canvas supplies the master dates; quizzes and Test 3 are paper assessments in class.

📝 Paper Assessments 💻 ALEKS through Canvas 📅 Canvas Dates Are Master
Start here · Unit 3 pathway

Bridge → learn → practice → checkpoint

Enter through the Quiz 9 bridge, build trigonometry before applications, complete vectors after Thanksgiving, and finish with cumulative Test 3 retrieval.

Canvas dates confirmed Coverage status: planned
Window 1 · Units 3A–3B · Quiz 10 Nov 11

Angles, trig foundations, and reference angles

Work through 3A before 3B. Build angle and triangle fluency first, then use reference angles, signs, and exact trig values.

Learn with 3A Continue with 3B
Window 2 · Unit 3C · Quiz 11 Nov 18

Right-triangle applications

Translate diagrams and contexts into right triangles, then practice elevation, bearings, motion, and multi-step applications before Thanksgiving.

Learn with 3C
Window 3 · Unit 3D · Quiz 12 Dec 2

Vectors

After the break, focus on components, graph/resultant vectors, magnitude, and direction. Keep one earlier trig retrieval problem in each study session.

Learn with 3D
Window 4 · Unit 3E · Quiz 13 Dec 7 → Test 3 Dec 9

Cumulative Test 3 readiness

Quiz 13 is planned as the cumulative readiness check. Use it to correct weak areas; avoid treating December 7 as a new-content deadline.

Review with 3E

Readiness rule: Reach at least 80%, correct every missed setup, and revisit the matching deck before retrying. Begin cumulative final retrieval here instead of waiting until December 11.

Deck library and downloadable files
Unit 3A: Angles and Right-Triangle Trigonometry
HTML PDF PPTX
Formula priorities

Essential Formulas for Test 3

Memorize
Provided on Test 3
Useful relation

Current Test 3 Review Formula Reference

Provided on Test 3
Pythagorean Identity
$$\sin^2 x + \cos^2 x = 1$$
Use to connect sine and cosine values.
Provided on Test 3
Tangent/Secant Identity
$$1 + \tan^2 x = \sec^2 x$$
Use when tangent or secant is known and you need the other.
Provided on Test 3
Area of a Triangle (SAS form)
$$\text{Area} = \frac{1}{2}bc\sin A$$
Use when two sides and the included angle are given.

Section 5.1–5.2 Foundations

Memorize
Arc Length
$$s=r\theta$$ $$s=\frac{\theta}{360}(2\pi r)$$
Use radian form when $\\theta$ is in radians, degree form when in degrees.
Memorize
Right-Triangle Ratios
$$\sin\theta=\frac{\text{opp}}{\text{hyp}}$$
$$\cos\theta=\frac{\text{adj}}{\text{hyp}}$$
$$\tan\theta=\frac{\text{opp}}{\text{adj}}$$
Core relationships for side/angle solving in right triangles.
Useful
Coterminal Angles
$$\theta_{\text{coterminal}} = \theta + 360^\circ k \quad \text{or} \quad \theta + 2\pi k$$
Use integer $k$ to generate coterminal angles in degrees or radians.

Section 5.3 & 7.1 Applications

Memorize
Reference Angle by Quadrant
$$QII:\ \alpha=180^\circ-\theta$$
$$QIII:\ \alpha=\theta-180^\circ$$
$$QIV:\ \alpha=360^\circ-\theta$$
Use degree equivalents with $\pi$ for radian forms.
Memorize
Distance-Rate-Time
$$d=rt$$
Used with trig setup in many Section 7.1 word problems.
Memorize
Solve Right Triangle via Inverse Trig
$$\theta=\sin^{-1}\!\left(\frac{\text{opp}}{\text{hyp}}\right)$$
$$\theta=\cos^{-1}\!\left(\frac{\text{adj}}{\text{hyp}}\right)$$
$$\theta=\tan^{-1}\!\left(\frac{\text{opp}}{\text{adj}}\right)$$
Pick the inverse function matching known sides.

Section 8.4 Vectors

Memorize
Component Form from Points
$$\vec v=\langle x_2-x_1,\ y_2-y_1\rangle$$
From initial point $(x_1,y_1)$ to terminal point $(x_2,y_2)$.
Memorize
Vector Magnitude
$$|\vec v|=\sqrt{a^2+b^2}\quad \text{for }\vec v=\langle a,b\rangle$$
Length of a vector in component form.
Memorize
Direction Angle
$$\theta=\tan^{-1}\!\left(\frac{b}{a}\right)$$
Adjust for quadrant when determining the final direction angle.
Useful
Vector from Magnitude & Direction
$$\vec v=\langle |\vec v|\cos\theta,\ |\vec v|\sin\theta\rangle$$
Useful when converting directional information to components.
Interactive review

Practice Generators

🎯 Quiz 13 / Test 3 Readiness Check

20 mixed Unit 3 review questions from Sections 5.1, 5.2, 5.3, 5.7, 7.1, and 8.4. Confirm the official Fall test coverage and formula sheet in Canvas or in class.

📝 Mock Quiz Mode

Canvas master dates are Quiz 10 Nov 11, Quiz 11 Nov 18, Quiz 12 Dec 2, and Quiz 13 Dec 7, all at 2:10 PM. Quiz 9 on Oct 28 opens this unit as a bridge. Quiz 13 is planned as cumulative Test 3 readiness; Canvas or class can confirm or adjust final coverage.

Trig & Vector Practice Tools

Extra practice for §5.3, 7.1 & 8.4

Interactive drills for the trickiest Unit 3 skills — angles, right-triangle applications, and vectors.

Quiz 10 Notes + Practice (§5.3)

A printable reference-angle notes sheet and a dedicated practice set for the planned Quiz 10 skills.

Open Quiz 10 Practice Printable Notes

Skyhawk Trig (§7.1)

A flight-themed game drilling right-triangle and angle-of-elevation skills.

Play Skyhawk Trig

Vector Masterclass

An interactive lesson and worksheet walkthrough of components, magnitude, and direction.

Open Vector Masterclass

Vector Gap Review

A slide-deck walkthrough that closes common gaps on vector problems, with companion notes.

Open review deck Notes

Study Videos

Section 5.2: Right-Triangle Trigonometry

Trig Ratios from Right Triangles Calculator Trig Values (Degree/Radian Mode) Degree/Radian Unit Conversion Side Lengths from Trig Ratios

Section 5.3: Reference angles, signs, and solving trig equations on 0°–360°

Reference Angles (Degrees and Radians) Quadrant Signs (ASTC) Reference Angles: Extra Practice Trig Values from Quadrant + Reference Angle

Geometry & Section 8.4

Solve a Right Triangle Angle of Elevation/Depression Distance-Rate-Time with Trig Vector Magnitude and Direction

Course Schedule

How to read this table: ALEKS items are online assignments. Quiz, test, and final rows show Canvas master dates for paper assessments given in class. Quiz 9 is the Oct 28 bridge immediately before this table begins.
Date Topic / Section Status
Mon, 11/2 Section 5.1 (Module 10 Slides) CLASS
Wed, 11/4 Section 5.2 (Module 10 Slides) CLASS
Fri, 11/6 Section 5.2 (Module 10 Slides) CLASS
Mon, 11/9 Section 5.3 (Module 11 Slides) CLASS
Wed, 11/11 Section 5.3; ALEKS 5.1/5.2 due; Quiz 10 on paper (Canvas master date 2:10 PM) CLASS QUIZ 5.1/5.2 DUE
Fri, 11/13 Section 5.3 (Module 11 Slides) CLASS
Mon, 11/16 Sections 5.7 and 7.1 (Module 12 Slides) CLASS
Wed, 11/18 Section 7.1; ALEKS 5.3/5.7 due; Quiz 11 on paper (Canvas master date 2:10 PM) CLASS QUIZ 5.3/5.7 DUE
Fri, 11/20 Section 7.1 (Module 12 Slides) CLASS
Mon, 11/23 Thanksgiving Break NO CLASS
Wed, 11/25 Thanksgiving Break NO CLASS
Fri, 11/27 Thanksgiving Break NO CLASS
Mon, 11/30 Section 8.4 (Module 13 Slides); ALEKS Section 7.1 due at 2:10 PM CLASS 7.1 DUE
Wed, 12/2 Section 8.4; ALEKS Section 8.4 due; Quiz 12 on paper (Canvas master date 2:10 PM) CLASS QUIZ 8.4 DUE
Fri, 12/4 Applications (Module 13 Slides) CLASS
Mon, 12/7 Cumulative Test 3 readiness; Quiz 13 on paper (Canvas master date 2:10 PM) REVIEW QUIZ
Wed, 12/9 Test 3 on paper in class (Canvas master date 2:10 PM) EXAM
Fri, 12/11 Final Exam review REVIEW
Mon, 12/14 Final Exam on paper in class (Canvas master date 1:00 PM) FINAL

ALEKS Modules

Module Opens Due Date Status
Sections 5.1, 5.2 Oct 30 at 2:11 PM Nov 11 at 2:10 PM
Sections 5.3, 5.7 Nov 11 at 2:11 PM Nov 18 at 2:10 PM
Section 7.1 Nov 18 at 2:11 PM Nov 30 at 2:10 PM
Section 8.4 Nov 30 at 2:11 PM Dec 2 at 2:10 PM
Study progress

Topics Checklist

Use the progress bars as your top-level map, then work through each checklist group below so dense topic lists feel subordinate to the overall study plan.

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Practice History

Date / Time Topic Retries Status