ACT Math study plan
ACT Math · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra
Solve 40 linear equations and linear inequalities, including absolute-value cases, showing each step without a calculator.
Translate 10 word problems into single-variable equations, solve them, and check each answer against the original wording.
Factor and expand 25 polynomial expressions covering common factors, difference of squares, and basic trinomials.
Simplify 15 rational expressions and solve 10 rational equations, stating the restricted values for each.
Your checkpoint
A 30-question Algebra quiz scored at 80% or better, with every missed item reworked on a separate correction page.
Functions & Algebra
Evaluate function notation for 25 inputs, including composite functions and simple inverses.
Convert 20 quadratics among standard, vertex, and factored forms, and read off the vertex and intercepts from each.
Match 15 equations to their graph behaviors: intercepts, end behavior, and basic asymptotes.
Solve 10 systems of two equations by both substitution and elimination and verify each solution graphically.
Your checkpoint
A handwritten two-page function and graph reference sheet, plus 25 practice items worked correctly on the first attempt.
Geometry
Compute perimeter, area, surface area, and volume for 20 figures, including unit conversions on at least 5 of them.
Apply the Pythagorean theorem, distance formula, and midpoint formula across 15 problems.
Solve 15 triangle problems using angle sums, similarity, and right-triangle side ratios.
Write and use equations of 10 lines and circles in the coordinate plane.
Your checkpoint
A formula sheet reproduced from memory and checked against notes, plus 20 geometry practice items worked correctly.
Geometry & Functions
Solve 15 circle problems covering arc length, sector area, chords, central angles, and inscribed angles.
Find areas and volumes of 10 composite figures by decomposing them into known shapes.
Re-solve 20 items missed in weeks 1 through 3 and log the error type for each.
Complete a 25-question mixed section in 30 minutes without pausing the timer.
Your checkpoint
A 40-question mixed mid-plan test covering domains 2, 3, and 4, scored at 75% or better under timing.
Number and Quantity
Set up and solve 20 ratio, proportion, and rate problems, including multi-step unit-rate conversions.
Compute 20 percent-change, percent-of, and successive-percent problems, distinguishing increase from decrease.
Apply exponent and radical rules to simplify 25 expressions, including rational exponents.
Convert between decimal, fraction, and scientific notation for 15 values, and order 10 mixed-format numbers from least to greatest.
Your checkpoint
A 30-question Number and Quantity quiz scored at 80% or better, with a one-line rule written for each item missed.
Statistics and Probability
Compute mean, median, mode, range, and weighted average for 12 data sets, including one-value-changes cases.
Read and interpret box plots and histograms to answer 10 questions about spread, quartiles, and outliers.
Calculate probabilities of 15 simple and compound events, including complementary and conditional cases.
Solve 10 counting problems using the fundamental counting principle, permutations, and combinations as appropriate.
Your checkpoint
A 25-question Statistics and Probability quiz scored at 85% or better, plus one page naming the recurring misread-question patterns found.
Algebra & Functions & Geometry & Number and Quantity & Statistics and Probability
Rank your three weakest subtopics from the accumulated error log and drill 20 items in each.
Work 60 mixed practice questions spread evenly across all five domains, untimed, recording time per question.
Rewrite every still-missed item from the error log as a rule or worked template.
Set a per-question time budget and rehearse it on 20 questions, stopping at the limit for each.
Your checkpoint
An error log with zero unresolved entries across the full 60-question mixed set, plus a written pacing target.
Algebra & Functions & Geometry & Number and Quantity & Statistics and Probability
Take two full-length timed math sections under test conditions, no interruptions.
Review both sections item by item and classify each miss as content gap, misread, or pacing.
Recall the full formula and rule sheet from memory in under 10 minutes, twice.
Redo 15 items from the two timed sections that were missed, aiming for zero repeat errors.
Your checkpoint
Two completed timed sections with scores recorded and a one-page final review card containing only the rules you missed most.
Milestones
Week 4: Score 75% or better on the timed 40-question mixed test covering Algebra, Functions, and Geometry, and report the error log with all week 1-3 misses reworked.
Week 6: Score 85% or better on the Statistics and Probability quiz and 80% or better on the Number and Quantity quiz, with no unresolved error-log items from either.
Week 8: Complete two full-length timed math sections at or above your target score with no section left blank, and hold a final review card covering every recurring error type.