Every lesson we teach, listed.

1. 01About the ACT English Section Know the format. Read with purpose. Build a useful study plan.—
2. 02Adjectives and Adverbs Find the target. Choose the form. Make the meaning clear.84
3. 03Apostrophes Count the owners. Expand the contraction. Place the mark.60
4. 04Clarity and Economy Keep the meaning clear and the voice consistent.44
5. 05Comma Rules Read the structure, place the comma, and protect the meaning.92
6. 06Dashes and Parentheses Control emphasis. Match the boundaries. Keep the sentence whole.68
7. 07Introductions and Conclusions Make a clear opening promise. Deliver a meaningful close.52
8. 08Logical Comparisons Name the counterparts. Complete the pattern. Compare logically.84
9. 09Modifier Errors Find the target. Place the description. Preserve the meaning.92
10. 10Organization Place information where the reader is ready for it.44
11. 11Parallel Structure Connect compatible ideas. Check the frame. Keep the meaning.108
12. 12Precise Diction Choose the word whose meaning fits exactly.60
13. 13Pronoun Case, Number, and Clarity Choose the right form. Track the reference. Make the meaning clear.76
14. 14Redundancy and Wordiness Say everything that matters. Cut the extra wording.52
15. 15Relevance and Focus Find the focus. Keep the information that serves it.84
16. 16Semicolons and Colons Check the clauses. Mark the relationship. Make the connection.76
17. 17Sentence Fragments and Run-ons Find the backbone. Check the boundary. Make the repair.100
18. 18Spelling and Capitalization Read for meaning. Recognize names. Choose the precise form.60
19. 19Subject–Verb Agreement Find the real subject. Match the verb. Keep the meaning.84
20. 20Thesis and Main Focus Find the central idea. Give each sentence a purpose.60
21. 21Tone and Style Hear the writer’s voice. Keep every choice in tune.68
22. 22Topic Development Name the claim. Choose evidence that develops it.60
23. 23Transitions Read the relationship. Choose the connection.76
24. 24Unity and Cohesion Give every sentence a purpose and a clear connection.60
25. 25Verb Tense, Aspect, and Mood Read the timeline. Choose the form. Preserve the intended meaning.108

1. 01About the ACT Math Section Know the format, recognize the content, and build a plan for test day.—
2. 02Complex Number Arithmetic Compute with imaginary units, conjugates, and standard form.56
3. 03Integer & Rational Exponents Use integer and fractional powers, roots, and reciprocals precisely.48
4. 04Introductory Matrices Read, combine, and multiply matrices with accurate row and column choices.50
5. 05Radicals & Rational Roots Translate, simplify, combine, and rationalize exact radical expressions.36
6. 06Rational & Irrational Number Operations Classify exact numbers and predict the results of rational and irrational operations.44
7. 07Real Number Properties and Ordering Classify real numbers, use algebraic properties, compare values, and reason about distance.42
8. 08Vector Basics Read signed components, combine motions, and measure a resultant.42
9. 09Factoring & Solving Polynomial Equations Recognize a polynomial’s structure and turn its factors into valid solutions.56
10. 10Graphing & Analyzing Linear Equations Connect equations, rates, intersections, and shaded solution regions.36
11. 11Graphing Quadratics & Polynomials Use vertices, zeros, multiplicity, and end behavior to connect a graph with its equation.44
12. 12Modeling Word Problems with Equations Translate relationships, choose efficient strategies, and interpret the answer in context.44
13. 13Rewriting and Simplifying Expressions Combine terms, distribute, factor, and simplify quotients and powers while preserving equivalence.34
14. 14Exponential & Logarithmic Equations Match bases, interpret logarithms, combine log rules, and model repeated change.42
15. 15Solving Linear Equations & Inequalities Balance equations, reverse inequalities correctly, classify special cases, and model practical limits.30
16. 16Rational & Radical Equations Clear denominators, isolate roots, preserve restrictions, and verify every candidate.44
17. 17Systems of Equations & Inequalities Solve simultaneous equations, interpret feasible regions, and connect algebra with graph intersections.44
18. 18Average Rate of Change and Graph Features Use endpoint slopes, behavior intervals, and local or absolute extrema to read functions accurately.44
19. 19Function Composition and Inverses Evaluate nested functions, reverse mappings, and preserve domains through every step.42
20. 20Evaluating Functions from Tables, Graphs & Formulas Read inputs and outputs precisely across formulas, tables, graphs, and piecewise rules.48
21. 21Exponential and Logarithmic Functions Read multiplicative change, connect inverse graphs, and solve exponent and logarithm models.54
22. 22Function Notation, Domain, and Range Interpret function notation, compose rules, and determine allowed inputs and attained outputs.50
23. 23Piecewise and Absolute Value Functions Choose the correct branch, interpret absolute-value graphs, and solve models with changing rules.50
24. 24Radical and Root Functions Connect root domains and graphs, solve radical equations, and verify every candidate.40
25. 25Linear Function Transformations Track input and output changes, distinguish reflections, and compare equivalent linear transformations.50
26. 26Polynomial Transformations and End Behavior Move graph anchors, organize stretches and reflections, and predict polynomial tails.50
27. 27Angle Relationships & Parallel Lines Recognize angle pairs, translate geometric relationships into equations, and combine parallel-line and triangle facts.54
28. 28Circle Theorems: Chords, Arcs, and Sectors Connect chord triangles, central-angle fractions, arc lengths, sector areas, and sector perimeters.36
29. 29Composite Figures: Breaking Down the Complex Decompose regions and solids, recover shared dimensions, and distinguish area, volume, and exposed boundaries.40
30. 30Coordinate Circles, Ellipses, and Hyperbolas Connect circle geometry to equations, complete squares accurately, and distinguish standard conic forms.40
31. 31Coordinate Lines: Slopes, Distance, and Line Relationships Read line equations, connect geometric relationships, and choose the right coordinate measurement.28
32. 32Mastering ACT Parabolas Connect vertex form, intercepts, transformations, and contextual extrema.42
33. 33The Law of Sines and Cosines Match opposite pairs, identify included angles, and solve non-right triangles precisely.34
34. 34Perimeter and Area of Polygons Trace boundaries, choose perpendicular heights, and combine polygon measurements accurately.50
35. 35Special Right Triangles and Trig Ratios Recognize exact side ratios and use the right angle as an anchor.36
36. 36Surface Area & Volume of 3D Shapes Choose the measure, identify the exposed parts, and preserve the units.50
37. 37Triangle Congruence and Similarity Match the right parts, justify the relationship, and scale the requested measure.36
38. 38Counting, Permutations & Combinations Count each permitted outcome once, then choose the right sample space.50
39. 39Data Collection and Sampling Bias Connect a statistic to the population, selection process, and evidence behind it.42
40. 40Lines of Best Fit and Regression Read a fitted line, make estimates, and explain what the data support.36
41. 41Measures of Center: Mean, Median, and Mode Compute centers, reconstruct totals, read statistical displays, and interpret unusual observations.34
42. 42Measures of Spread: Range and IQR Track endpoints, construct quartiles, compare box plots, and interpret changes in spread.42
43. 43Probability Rules and Expected Value Model events, restrict conditional sample spaces, combine chances, and interpret expected net outcomes.34
44. 44Scatter Plots and Correlation Read paired data, interpret correlation, and evaluate predictions.48
45. 45Two-Way Tables and Conditional Probability Organize categorical counts and choose the right probability denominator.48
46. 46Averages and Weighted Averages Recover totals, assign weights, pool groups, and average travel speeds.50
47. 47Converting Fractions, Decimals, and Percents Convert fractions, decimals, and percents without changing their value.44
48. 48Mixed Area, Surface Area, and Volume Decompose regions and solids before selecting formulas.42
49. 49Percent Change, Markups, and Discounts Model increases and decreases with the correct multiplier.48
50. 50Proportions and Scale Drawings Preserve corresponding quantities in proportions.42
51. 51Unit Rates and Dimensional Analysis Interpret per-unit quantities and compare compatible rates.54

1. 01About the ACT Reading Section Understand the format, recognize the skills, and choose a practical starting approach.—
2. 02Central Idea and Theme Find the message that connects the passage, then test its scope against the evidence.95
3. 03Locating and Interpreting Details Find the relevant information, recover its context, and verify the relationship a choice describes.86
4. 04Inferences and Conclusions Connect the passage’s clues to a conclusion that stays within their scope and certainty.108
5. 05Summarizing Information Preserve the central message, essential support, and the relationships that connect them.98
6. 06Sequence of Events Reconstruct time, processes, and development with evidence.92
7. 07Cause and Effect Trace the link between an event, its proposed cause, and the evidence that connects them.106
8. 08Vocabulary in Context Use context to choose the meaning a writer actually needs.98
9. 09Text Structure and Organization Read the relationships that connect a writer’s ideas.98
10. 10Author's Purpose Connect a writer’s choices with the result the writing invites readers to reach.104
11. 11Perspective and Point of View Track whose view you are reading, what it rests on, and how it changes.90
12. 12Word Choice and Rhetorical Effect Explain what a writer’s language adds to meaning.98
13. 13Tone, Style, and Authorial Decisions Read emotional stance and explain how a writer’s choices create it.86
14. 14Comparing Across a Text Compare subjects, stages, and perspectives by matching dimensions and verifying both sides.100
15. 15Fact vs. Opinion Separate checkable claims, supporting evidence, and the judgments that connect information to priorities.78
16. 16Evaluating Claims Identify an argument’s claims, evaluate their support, and trace what counterclaims and new evidence change.96
17. 17Reasoning and Evidence Quality Judge claims by relevance, methods, and the limits of their support.82
18. 18Argument Construction Trace claims, evidence, assumptions, and responses in original ACT-style practice.100
19. 19Generalizing from Evidence Connect examples, judge the reach of their support, and transfer a principle without losing its conditions.84
20. 20Visual and Quantitative Elements Read the values, patterns, and limits that connect a visual to the passage beside it.76
21. 21Synthesizing Information Connect sources without losing their differences, limits, or contributions.70
22. 22Using Textual Evidence Find the support that actually answers the claim.72
23. 23Multiple Perspectives Keep every claim attached to its speaker, purpose, and evidence.82

Ten further Science lessons are in production.

1. 01Line Graphs and Trends Read scales, compare patterns and rates, and make supported estimates from scientific graphs.82
2. 02Bar Graphs Read categories, scales, components, and uncertainty to make supported scientific comparisons.80
3. 03Data Tables Locate precise entries, preserve units and conditions, and combine table evidence to make supported comparisons.54
4. 04Scatterplots and Correlation Read paired observations, distinguish linear strength from slope, investigate exceptions, and support conclusions with data.80
5. 05Diagrams, Maps, and Figures Read scientific displays, trace spatial and experimental relationships, and combine evidence without losing its meaning.80
6. 06Patterns and Relationships in Data Test direction, spacing, differences, ratios, cycles, and experimental comparisons before choosing a supported model.89
7. 07Interpolation: Finding Hidden Values Find internal estimates, reverse a relationship, compare models, and combine evidence under the right conditions.86
8. 08Extrapolation: Predicting Beyond the Data Extend a supported model while keeping its limits visible.100
9. 09Translating Between Tables and Graphs Preserve observations while changing format, scale, units, variables, and experimental comparisons.89
10. 10Identifying Variables in Experiments Read procedures, map variable roles, compare experiments, and design informative follow-ups.88
11. 11Understanding Equipment and Procedures Connect apparatus, measurements, and procedures to the evidence they produce.88
12. 12Experimental Controls and Constants Choose the comparison that isolates the scientific question.101
13. 13Comparing Related Experiments Match conditions, interpret agreement, and combine evidence under a stated model.107
14. 14Predicting Modified Results Use experimental relationships to forecast changes within their limits.87
15. 15Experimental Design Evaluation Connect experimental methods with the conclusions they can support.87
16. 16Quick Math Reasoning Choose the right quantities, operations, and units before calculating.98
17. 17Competing Scientific Hypotheses Compare claims, test predictions, and track evidence112

Plus 97 topic practice sets on these skills — 825 further questions.

1. 01Format, Tools & Strategy62
2. 02Linear Equations in One Variable180
3. 03Linear Equations in Two Variables & Systems of Linear Equations146
4. 04Linear Inequalities & Linear Functions152
5. 05Equivalent Expressions111
6. 06Quadratics136
7. 07Functions, Polynomials & Exponentials147
8. 08Nonlinear Systems, Absolute Value & Science Applications145
9. 09Ratios, Rates, Proportions & Units122
10. 10Percentages111
11. 11Describing and Modeling Data137
12. 12Inference, Surveys, and Statistical Claims134
13. 13Probability & Counting: Complete Interactive Lesson190
14. 14Lines, Angles & Triangles146
15. 15Right Triangles and Trigonometry179
16. 16Circles126
17. 17Area & Volume127

Plus 424 topic practice sets on these skills — 6,670 further questions.

1. 01The Digital SAT: Format, Scoring & Strategy3
2. 02Modular Adaptive Scoring Explained3
3. 03Pacing & Time Strategy for R&W3
4. 04The Universal R&W Approach — SCAN, ANCHOR, BRIDGE, BLOCKS5
5. 05Central Ideas & Details — Stem Variants and the 60/40 Split5
6. 06Main-Idea Fundamentals6
7. 07Supporting-Detail Fundamentals6
8. 08Discriminating Main Idea from Detail7
9. 09CID by Passage Genre — Scientific7
10. 10CID by Passage Genre — Literary6
11. 11CID by Passage Genre — Historical & Cultural6
12. 12Central Ideas & Details — Social-Science Passages6
13. 13Distractor Patterns I — Detail-as-Main, Overgeneralization, Reversal8
14. 14Distractor Patterns II — Unsupported Inference, Misattribution, Plausible-but-Wrong-Focus10
15. 15Inferences — The Standardized Format5
16. 16Inferences — Signal-Phrase Taxonomy7
17. 17Easy-Tier Inferences — Direct One-Step Implication7
18. 18Medium-Tier Inferences — Connecting Two Facts7
19. 19Hard-Tier Inferences — Multi-Step Chains and Counter-Intuitive Conclusions8
20. 20Out-of-Scope Distractors — If It's Not in the Passage, It's Out7
21. 21Reversed Logic / Wrong Direction — The Direction Check7
22. 22Distractor Families — Partial Truth, Extreme Language & Sophisticated Misdirection7
23. 23Inferences in Scientific Contexts — The Four-Beat Anatomy7
24. 24Inferences in Social-Science and Humanities Contexts7
25. 25Command of Evidence — Introduction7
26. 26Command of Evidence — Literary Works10
27. 27Command of Evidence — Research/Scientific Findings10
28. 28Command of Evidence — Support Direction10
29. 29Command of Evidence — Weaken Direction10
30. 30Command of Evidence — Literary Genre Splits10
31. 31Command of Evidence — Distractor Engineering10
32. 32Command of Evidence — Hard-Tier Mixed Drill12
33. 33Command of Evidence (Quantitative) — Introduction & Visual Literacy7
34. 34Command of Evidence (Quantitative) — Reading Tables10
35. 35Command of Evidence (Quantitative) — Reading Bar Graphs10
36. 36Command of Evidence (Quantitative) — Reading Line Graphs10
37. 37Command of Evidence (Quantitative) — Reading Scatter Plots10
38. 38Command of Evidence (Quantitative) — Complete the Statement10
39. 39Command of Evidence (Quantitative) — Support the Claim10
40. 40Command of Evidence (Quantitative) — Comparison & Illustrate Lenses10
41. 41Command of Evidence (Quantitative) — Weaken & Characterize Lenses10
42. 42Command of Evidence (Quantitative) — Mixed Hard-Tier Drill10
43. 43Words in Context — Introduction9
44. 44Words in Context — Synonym/Antonym Signals12
45. 45Words in Context — Definition/Example Signals12
46. 46Words in Context — Contrast Signals12
47. 47Words in Context — Easy-Tier Vocabulary12
48. 48Words in Context — Medium-Tier Vocabulary13
49. 49Words in Context — Hard-Tier Vocabulary13
50. 50Words in Context — Vocab Semantic-Map I13
51. 51Words in Context — Vocab Semantic-Map II13
52. 52Words in Context — Vocab Semantic-Map III13
53. 53Words in Context — Vocab Semantic-Map IV13
54. 54Words in Context — Vocab Semantic-Map V13
55. 55Words in Context — Distractor Engineering13
56. 56Words in Context — Sentence-Completion vs. Definition Variants13
57. 57Text Structure & Purpose — Introduction and the Four Subtypes10
58. 58Main-Purpose Questions — Whole-Passage Scope and Verb Sophistication13
59. 59Overall-Structure Questions — Mapping the Six Organizational Patterns13
60. 60Function-of-Portion Questions — The Sentence-Level Zoom13
61. 61Function-of-a-Rhetorical-Device Questions — Naming the Device's Job13
62. 62Easy-Tier Literary & Narrative Passages — The Sixty-Second Solve11
63. 63Medium-Tier TSP — Research & Literary-Analysis Passages11
64. 64Hard-Tier TSP — Complex Academic Passages & the Five Distractor Antidotes11
65. 65Cross-Text Connections — The Dual-Passage Approach7
66. 66Cross-Text Connections — Agreement with Nuance9
67. 67Cross-Text Connections — Direct Contradiction9
68. 68Cross-Text Connections — Extension/Qualification9
69. 69Cross-Text Connections — Complementary Perspectives8
70. 70Cross-Text Connections — How Would Author X Respond10
71. 71Cross-Text Connections — Both Authors Would Agree9
72. 72Cross-Text Connections — Describe a Difference9
73. 73Cross-Text Connections — Hard-Tier Mixed Drill12
74. 74Transitions — Introduction & The Substitution Test7
75. 75Transitions — Contrast / Opposition12
76. 76Transitions — Cause/Effect11
77. 77Transitions — Addition/Continuation11
78. 78Transitions — Exemplification10
79. 79Transitions — Similarity/Comparison10
80. 80Transitions — Sequence/Time8
81. 81Transitions — Clarification, Emphasis, and Concession11
82. 82Specialty Transitions — Eight Rare Categories12
83. 83Opposite Logic — The Direction Check11
84. 84Distractor Families II — Category, Nuance, and Logic12
85. 85Difficulty Calibration — Easy, Medium, and Hard Tiers12
86. 86Mixed Drill — Eight Categories Under Time14
87. 87Rhetorical Synthesis — Format and Approach7
88. 88Goal — Identify / Specify9
89. 89Goal — Provide Overview9
90. 90Goal — Emphasize Similarity9
91. 91Goal — Describe Feature/Process9
92. 92Goal — Emphasize Difference/Contrast9
93. 93Goal — Present to Specific Audience9
94. 94Goal — Explain/Define with Example9
95. 95Note-Type Recognition — Definitional, Comparative, Descriptive, Quantitative, Contextual10
96. 96Mixed Drill — All 7 Goals, All 5 Distractor Antidotes12
97. 97Central Ideas and Details — Tejas Test Prep1
98. 98Boundaries — Introduction & The Punctuation Decision Tree10
99. 99Boundaries Pattern 1 — Run-Ons & Comma Splices15
100. 100Boundaries Pattern 2 — IC + IC Connectors14
101. 101Boundaries Pattern 3 — IC + DC Connectors14
102. 102Boundaries Pattern 4 — Restrictive vs. Nonrestrictive Modifiers15
103. 103Boundaries Pattern 5 — Lists & Series13
104. 104Boundaries Pattern 6 — Paired Punctuation14
105. 105Boundaries Pattern 7 — Title + Name12
106. 106Boundaries — Distractor Patterns & Hard-Tier Mixed Drill17
107. 107Form, Structure & Sense — Introduction & Verb-Agreement Decision Tree8
108. 108Subject-Verb Agreement — Fundamentals11
109. 109Subject-Verb Agreement — Tricky Subjects12
110. 110Verb Tense Consistency — Date Markers, Past Perfect & Sequencing11
111. 111Modifier Placement — Misplaced Modifiers10
112. 112Modifier Placement — Dangling Modifiers11
113. 113Pronoun-Antecedent Agreement — Number, Person & Ambiguity11
114. 114Pronoun Case & Form — Possessive vs. Contraction, Subject vs. Object11
115. 115Possessive Nouns — Singular vs. Plural and Multiple-Possessive Chains10
116. 116Finite vs. Nonfinite Verbs — Conjugated Verbs and the IC Verb-Slot Test9
117. 117Distractor Patterns and Hard-Tier Mixed Drill — All Six FSS Concepts15