NSE Math 10 study plan
NSE Math 10 · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra
Simplify and factor polynomial expressions, including difference of squares and trinomials with leading coefficients other than 1
Solve linear equations and inequalities, including compound inequalities and those with absolute values
Solve systems of two linear equations by substitution and elimination, and interpret the number of solutions
Translate short word problems into linear equations or systems and solve them
Your checkpoint
A 20-question self-made quiz covering factoring, linear equations, inequalities, and systems, scored with a written error log
Algebra
Apply exponent rules to simplify expressions with integer and rational exponents
Perform addition, subtraction, multiplication, and division of polynomial and rational expressions
Solve quadratic equations by factoring, completing the square, and the quadratic formula
Use the discriminant to determine the number and type of solutions of a quadratic equation
Your checkpoint
A one-page summary sheet of quadratic solution methods with two worked examples each, plus 10 practice problems solved and checked
Functions
Determine domain and range of functions given as equations, tables, or graphs
Evaluate and interpret function notation, including composite and inverse functions
Graph linear, quadratic, and absolute value functions using transformations
Model real-world situations with linear and quadratic functions and interpret key features
Your checkpoint
A set of 8 graphs (hand-drawn or graphed) with correct domain, range, intercepts, and vertex or slope labeled, plus a short written interpretation of each
Functions & Geometry
Distinguish among linear, quadratic, and exponential growth using tables and graphs
Apply the Pythagorean theorem and distance formula to solve geometric problems
Use midpoint and slope to analyze segments and lines in the coordinate plane
Solve problems involving similar triangles and proportional reasoning
Your checkpoint
A mixed 15-question quiz on functions and coordinate geometry, with a corrected version showing all steps
Geometry
Calculate perimeter, area, and volume of composite figures, including circles, triangles, and prisms
Apply angle relationships (parallel lines, triangles, polygons) to find unknown measures
Use congruence and similarity criteria to justify geometric claims
Solve right-triangle problems using trigonometric ratios and the inverse functions
Your checkpoint
A formula sheet with diagrams for area, volume, angle rules, and trig ratios, plus 10 applied problems solved and annotated
Statistics and Probability
Compute and interpret measures of center and spread, including standard deviation conceptually
Construct and read box plots, histograms, and scatter plots to describe data
Calculate probabilities of simple and compound events using addition and multiplication rules
Distinguish between correlation and causation and evaluate sampling methods
Your checkpoint
A data-analysis mini-project: collect or use a provided dataset, create two displays, compute summary statistics, and write a 150-word interpretation
Number and Quantity & Mathematical Modeling and Problem Solving
Apply properties of real numbers, including rational and irrational numbers, to classify and order values
Use units and dimensional analysis to convert measurements and check reasonableness
Set up and solve multi-step modeling problems involving rates, mixtures, and geometry
Interpret the reasonableness of solutions in context and adjust models as needed
Your checkpoint
A portfolio of 5 multi-step modeling problems with full solutions, unit checks, and a short reflection on assumptions
Algebra & Functions & Geometry & Statistics and Probability
Review and synthesize key concepts from all domains using a self-created concept map
Complete a full-length timed practice test under exam conditions
Analyze errors from the practice test and categorize them by domain and error type
Re-solve missed problems and write a personalized test-day strategy
Your checkpoint
A scored full-length practice test with a corrected error analysis and a one-page test-day strategy sheet
Milestones
Week 2: Score at least 80% on a self-made 15-question algebra quiz covering factoring, rational expressions, and quadratic equations
Week 4: Correctly graph and identify key features of 10 functions and solve 8 coordinate geometry problems with at least 80% accuracy
Week 6: Complete the data mini-project with accurate statistics and a clear interpretation, and score at least 75% on a 10-question probability quiz
Week 8: Achieve a score of at least 80% on the full-length practice test and submit a complete error analysis and strategy sheet