TASC General Mathematics Level 3 study plan
TASC General Mathematics Level 3 · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra and Linear Relationships
Solve one-variable linear equations with integer, fraction, and decimal coefficients, showing each inverse operation
Rearrange literal equations and formulas to isolate any named variable
Translate short word problems into linear equations and verify solutions by substitution
Build a personal error log classifying mistakes as sign, distribution, or fraction errors
Your checkpoint
A 30-item worked solution set covering equation solving and formula rearrangement, scored and corrected with the error log attached
Algebra and Linear Relationships
Graph linear equations from slope-intercept and standard forms, identifying slope and intercepts
Derive the equation of a line from two points, a point and a slope, and a table of values
Solve systems of two linear equations by substitution and by elimination, including no-solution and infinite-solution cases
Interpret slope and intercept as rates and starting values in applied contexts
Your checkpoint
A one-page summary sheet of three methods for finding a line's equation, plus 12 solved problems including two real-world modelling items
Algebra and Linear Relationships & Functions, Graphs and Modelling
Identify domain and range from equations, tables, and graphs of common function families
Evaluate and interpret function notation, including composite-style substitution chains
Sketch and compare linear, quadratic, and exponential growth patterns from tables
Recognise and correct common graphing errors such as reversed slope and misplaced intercepts
Your checkpoint
A comparison chart of linear, quadratic, and exponential functions with equation, graph sketch, table, and one applied example each
Functions, Graphs and Modelling
Model real scenarios by choosing an appropriate function family and justifying the choice
Construct and interpret graphs of piecewise and step situations such as tiered pricing
Solve quadratic equations by factoring and by the quadratic formula, interpreting roots in context
Read maximum, minimum, and intercept values off a parabola and explain their meaning
Your checkpoint
A two-page modelling report solving one pricing scenario and one projectile-style scenario, with graphs, equations, and written interpretation
Statistics and Probability
Compute mean, median, mode, range, and standard deviation for small data sets and compare their sensitivity to outliers
Construct and read histograms, box plots, and two-way frequency tables
Design a small survey or sampling plan and identify sources of bias in it
Distinguish sample statistics from population parameters in written explanations
Your checkpoint
A one-page statistical analysis of a self-collected 20-value data set, including summary statistics, one graph, and a bias discussion
Statistics and Probability
Apply addition and multiplication rules for probability, including complementary events
Build and use tree diagrams and two-way tables for conditional probability problems
Distinguish independent from dependent events and adjust calculations accordingly
Compute expected value for a simple game or decision and interpret the result
Your checkpoint
A 15-item probability problem set with tree diagrams shown, plus a written expected-value comparison of two simple games
Financial and Discrete Mathematics
Compute simple and compound interest, including different compounding frequencies
Calculate percentage increase and decrease, discounts, markups, and tax in multi-step problems
Build and interpret amortisation-style tables for a short loan or savings plan
Solve counting problems using the multiplication principle and basic permutations and combinations
Your checkpoint
A personal budget spreadsheet or table comparing two savings plans over 12 months, showing interest earned and total balance at each step
Algebra and Linear Relationships & Functions, Graphs and Modelling & Statistics and Probability & Financial and Discrete Mathematics
Complete two full-length timed practice papers under exam conditions and record per-domain accuracy
Re-teach the two weakest subskills identified from the practice papers using worked examples
Assemble a one-page formula and strategy card covering all four domains
Plan a spaced review schedule for the final days before the exam
Your checkpoint
A scored practice-paper log with per-domain accuracy percentages, a targeted remediation list, and a completed one-page formula card
Milestones
Week 2: Score at least 80 percent on a self-made 15-item algebra quiz covering equations, lines, and systems, with no repeated error type from week 1
Week 4: Explain aloud, in under three minutes, how to choose between linear, quadratic, and exponential models for three given scenarios, and justify each choice in writing
Week 6: Achieve at least 75 percent on a mixed statistics and probability quiz, including one conditional-probability item and one expected-value item
Week 7: Correctly complete a 10-item financial mathematics quiz covering compound interest, percent change, and counting, with all work shown
Week 8: Reach at least 70 percent overall on each timed practice paper and at least 65 percent in every individual domain