NVO Grade 10 Mathematics study plan
NVO Grade 10 Mathematics · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra and Functions
Classify linear, quadratic, and exponential expressions by structure and graph shape
Solve multi-step linear equations and inequalities, including those with variables on both sides
Interpret slope and intercepts of a linear model in a real-world context
Write and graph linear equations from two points, a table, or a verbal description
Your checkpoint
A 20-problem linear-equations and inequalities set, scored, with every missed item corrected and annotated with the error type
Algebra and Functions
Factor quadratic expressions using common factors, difference of squares, and trinomial patterns
Solve quadratic equations by factoring, completing the square, and the quadratic formula
Sketch parabolas by identifying vertex, axis of symmetry, and intercepts
Translate a quadratic word problem into an equation and justify the realistic root
Your checkpoint
A one-page quadratic functions reference sheet (three solving methods, vertex form, and two worked word problems) plus 15 practice problems solved
Algebra and Functions & Mathematical Modeling and Problem Solving
Compare linear, quadratic, and exponential growth rates using tables, graphs, and equations
Build a function from a real scenario and state its domain and range in context
Interpret key features of a graph (intercepts, intervals of increase or decrease, maxima) in applied problems
Construct and critique a simple mathematical model of a real situation
Your checkpoint
A written modeling report on one real scenario (e.g., savings growth or a projectile) containing the function, graph, key-feature interpretation, and one stated limitation of the model
Geometry and Measurement
Apply the Pythagorean theorem and its converse to find missing lengths and classify triangles
Solve right-triangle problems using sine, cosine, and tangent ratios
Compute area and perimeter of composite figures made of triangles, circles, and quadrilaterals
Justify each step of a multi-step geometry solution with a named theorem or definition
Your checkpoint
A timed 45-minute geometry set (12 problems) scored against a rubric requiring a stated reason for every step
Geometry and Measurement & Mathematical Modeling and Problem Solving
Convert between units and compute volume and surface area of prisms, cylinders, cones, and spheres
Use similarity and scale factors to find missing lengths and areas in scaled figures
Model a measurement scenario (packaging, container capacity, or land area) and solve it end to end
Check whether a computed answer is reasonable by estimating before calculating
Your checkpoint
A measurement design task: choose a real container, compute its surface area and volume, then scale it by a factor of 1.5 and report the changed values with reasoning
Number and Quantity
Apply exponent rules to simplify expressions with integer and rational exponents
Perform operations with numbers in scientific notation and interpret magnitude
Classify numbers within the real number system and justify each classification
Solve ratio, proportion, and percent problems, including percent change and compound contexts
Your checkpoint
A 25-item number-sense quiz (exponents, scientific notation, proportions) completed under a 30-minute timer with a full error log
Statistics and Probability
Distinguish among types of sampling and identify sources of bias in a described study
Summarize data sets with mean, median, mode, range, and interquartile range and choose the appropriate measure
Interpret two-way frequency tables and compute conditional relative frequencies
Determine probabilities of simple and compound events using tables, trees, and the addition and multiplication rules
Your checkpoint
A data investigation using a self-collected 20-value data set: display it, compute all summary statistics, compute one conditional probability, and write a paragraph on which measure best represents the data
Algebra and Functions & Geometry and Measurement & Number and Quantity & Statistics and Probability & Mathematical Modeling and Problem Solving
Assemble a one-page formula and concept sheet spanning all five domains
Complete a full-length timed practice exam under test conditions without notes
Diagnose the three weakest skills from the practice exam and re-teach each one
Build a test-day pacing plan that allocates time across domains by weight
Your checkpoint
A completed full-length timed practice exam with a scored breakdown by domain, plus a written remediation plan for the three weakest skills
Milestones
Week 2: Score at least 80% on a self-made 15-question algebra check covering linear and quadratic equations, and correct every missed problem before moving on
Week 4: Complete the timed geometry set with at least 75% of points and a stated reason on every step; if below, redo weeks 4 geometry goals before starting domain 3
Week 6: Score at least 80% on the number-sense quiz and show zero exponent-rule errors, since these errors propagate into algebra and modeling items
Week 8: Achieve at least 80% overall on the full-length practice exam with no domain below 70%, and have a written remediation plan for any skill below that threshold