PERT Math study plan
PERT Math · Give each week a clear focus.
8 weeks · About 6 hours per week
Linear Equations and Inequalities
Solve multi-step linear equations with variables on both sides, including those requiring distribution and fraction clearing
Rearrange literal equations to isolate any specified variable
Translate short verbal statements into single-variable equations and solve them
Check solutions by substitution and classify equations as conditional, identity, or contradiction
Your checkpoint
Score at least 85% on a self-timed 20-question linear-equation set, with every missed item rewritten correctly in an error log
Linear Equations and Inequalities
Solve and graph one-variable inequalities, reversing the inequality sign when multiplying or dividing by a negative
Solve compound inequalities and absolute-value equations and inequalities, expressing answers in interval and inequality notation
Set up and solve word problems involving rates, consecutive integers, and cost comparisons with inequalities
Identify the solution region for a two-variable linear inequality given in slope-intercept form
Your checkpoint
Complete a 25-question inequalities and absolute-value quiz at 90% or better, plus a one-page summary of sign-reversal and case-splitting rules
Algebraic Expressions, Functions, and Systems
Simplify algebraic expressions by combining like terms and applying the product, quotient, power, and negative-exponent rules
Add, subtract, and multiply polynomials, including binomial expansion
Factor out greatest common factors and factor trinomials of the form x-squared plus bx plus c
Evaluate and simplify rational expressions that reduce by factoring
Your checkpoint
Submit a 30-item expression and factoring skills sheet scored at 85% or higher, accompanied by a hand-written exponent and factoring rules card
Algebraic Expressions, Functions, and Systems
Evaluate functions using function notation and determine domain and range from a set of ordered pairs or a linear rule
Solve systems of two linear equations by graphing, substitution, and elimination, and identify no-solution and infinite-solution cases
Model a short real-world scenario with a system of equations and interpret the solution in context
Distinguish a relation from a function and justify the classification
Your checkpoint
Score at least 80% on a 25-question mixed assessment covering Domains 1 and 2, with each error tagged by domain and skill
Quadratic Equations and Graphing
Solve quadratic equations by factoring, by the square-root method, and by completing the square
Apply the quadratic formula and use the discriminant to predict the number and type of solutions
Convert between factored, vertex, and standard forms of a quadratic
Set up and solve quadratic word problems involving area and projectile motion
Your checkpoint
Pass a 20-question quadratic-equation quiz at 80% or better, showing full solution steps for three representative problems
Quadratic Equations and Graphing
Graph parabolas by locating the vertex, axis of symmetry, intercepts, and direction of opening
Describe the effect of a, h, and k on the graph of a quadratic function
Solve systems combining a linear and a quadratic equation graphically and algebraically
Read key features of a quadratic model from its graph to answer applied questions
Your checkpoint
Produce a set of six hand-drawn parabola graphs with vertex, intercepts, and axis of symmetry labeled, plus a 10-question interpretation quiz at 80% or better
Geometry, Measurement, and Data Analysis
Apply angle relationships, triangle properties, and the Pythagorean theorem to find missing measures
Compute perimeter, area, surface area, and volume for standard two- and three-dimensional figures
Use similarity and proportional reasoning to solve scale and indirect-measurement problems
Convert units within and across measurement systems using dimensional analysis
Your checkpoint
Create a complete one-page formula reference sheet and score 85% or higher on a 25-question geometry and measurement problem set
Geometry, Measurement, and Data Analysis & Linear Equations and Inequalities & Algebraic Expressions, Functions, and Systems & Quadratic Equations and Graphing
Calculate and interpret mean, median, mode, range, and standard deviation for a small data set
Interpret bar graphs, line graphs, scatterplots, and basic probability from tables
Re-solve the five most frequently missed problem types from weeks 1 through 7 without notes
Complete a full-length timed practice exam and classify every error as content, computation, or misread
Your checkpoint
Score at least 80% on a 40-question full-length practice exam and submit a completed error-analysis chart listing the corrective action for each mistake
Milestones
Week 2: Solve linear equations and inequalities, including compound and absolute-value cases, at 85% accuracy or better on timed sets without reference notes
Week 4: Score 80% or higher on a mixed Domain 1 plus Domain 2 assessment and correctly solve systems by all three methods
Week 6: Solve and graph quadratics at 80% accuracy, including correct identification of vertex, intercepts, and number of real solutions
Week 8: Earn 80% or higher on a full-length timed practice exam covering all four domains, with an error log showing no repeated mistake type