NB TCN Numeracy study plan
NB TCN Numeracy · Give each week a clear focus.
8 weeks · About 6 hours per week
Number sense and operations
Compute fluently with integers, fractions, decimals, and signed numbers, including order of operations, by working 40 mixed practice items without a calculator.
Apply divisibility rules, prime factorization, and least common multiple/greatest common factor to simplify and combine fractions in 15 worked examples.
Convert among fractions, decimals, and percents by hand and check each conversion with a second method.
Write a one-page personal error log naming the three operation types that cost you the most accuracy.
Your checkpoint
A timed 30-question number-sense quiz scored at 85% or better, with every miss reworked and annotated in the error log.
Number sense and operations & Ratio, proportion, and percent
Solve multi-step word problems involving unit rates, unit price, and best-buy comparisons, showing the setup line before any arithmetic.
Set up and solve proportions using cross-multiplication and the unitary method, then verify answers by estimating.
Translate percent-of, percent-increase/decrease, discount, tax, and tip scenarios into single equations and solve them.
Distinguish part-to-part from part-to-whole ratios and convert between them in 10 practice items.
Your checkpoint
A 20-item ratio-and-percent worksheet completed under a 40-minute timer with at least 17 correct and all setups shown.
Number sense and operations & Ratio, proportion, and percent
Solve percent-change and successive-percent problems (markup then discount, percent error) using a multiplier approach.
Apply proportional reasoning to scale drawings, recipes, and mixture problems, and identify when a relationship is not proportional.
Compute simple and compound interest and percentage-based data claims from short word problems.
Rehearse estimation and reasonableness checks so that every answer is sanity-checked before submission.
Your checkpoint
A mixed 25-question set spanning Domains 1 and 3, scored at 80% or better, with a written reasonableness check for each answer.
Measurement and units
Convert within and between metric and customary units of length, mass, volume, and time using dimensional analysis with cancellation.
Solve multi-step measurement problems requiring two or more conversions (for example, rate to unit price or speed to distance).
Interpret and compute perimeter, area, and volume formulas with correct unit labeling and squared/cubed units.
Read scales, rulers, and elapsed-time scenarios accurately, including mixed-unit answers such as hours and minutes.
Your checkpoint
A 20-question measurement quiz at 80% or better, with all work shown in a chain-of-conversion format.
Measurement and units & Geometry and spatial reasoning
Classify angles, triangles, and quadrilaterals and apply angle-sum and complementary/supplementary relationships to find missing measures.
Compute circumference, area, surface area, and volume for circles, triangles, rectangles, and rectangular solids.
Solve problems involving similar figures and scale factors, connecting them to proportional reasoning from earlier weeks.
Use the Pythagorean theorem to find missing sides and to test whether a triangle is right-angled.
Your checkpoint
A geometry-and-measurement portfolio of 12 fully worked problems, each with a labeled sketch and units, scored at 80% or better.
Data interpretation and statistics
Compute mean, median, mode, and range from raw data sets and from frequency tables, and explain which measure best describes a given distribution.
Read and interpret tables, bar and line graphs, and circle graphs, and identify misleading presentations such as truncated axes.
Calculate and interpret weighted averages and simple probability from given outcomes.
Draw a valid conclusion from a short data summary and state one limitation of that conclusion.
Your checkpoint
A one-page data report analyzing three provided data sets: summary statistics, one graph interpretation, and one written conclusion with a stated limitation.
Algebraic reasoning and patterns
Evaluate algebraic expressions and solve one- and two-step linear equations, including those with fractions and negatives.
Identify and extend arithmetic and geometric patterns, and write the rule or nth-term expression for each sequence.
Translate verbal statements into equations and inequalities, and solve and graph simple inequalities.
Substitute answers back into the original equation to verify solutions on every practice item.
Your checkpoint
A 20-question algebra quiz at 80% or better, with a written verification step for each equation solved.
Problem solving and quantitative reasoning & Number sense and operations & Ratio, proportion, and percent
Apply a structured four-step problem-solving routine (identify, plan, execute, check) to multi-step mixed-domain problems.
Complete two full-length timed practice tests under exam conditions and record per-domain accuracy.
Analyze missed items by error type (concept, setup, computation, misread) and rework each one to a correct solution.
Build a one-page formula and conversion reference sheet from memory, then verify it against source material.
Your checkpoint
Two completed timed practice tests with a scored error analysis showing at least 80% overall accuracy and improvement on the second attempt.
Milestones
Week 2: Score 85% or better on the Week 2 ratio-and-percent worksheet and correctly set up 9 of 10 word problems before computing.
Week 4: Score 80% or better on the Domain 2 measurement quiz and complete every conversion using dimensional analysis with units canceling.
Week 6: Score 80% or better on a combined Domains 2, 4, and 6 checkpoint and submit the data report with a defensible written conclusion.
Week 8: Score 80% or better on the second full-length practice test, with the error log showing fewer computation errors than on the first attempt.