NL Grade 6 Math study plan
NL Grade 6 Math · Give each week a clear focus.
8 weeks · About 6 hours per week
Number
Identify place value from millions down to thousandths and write numbers in standard, expanded, and word form
Compare and order whole numbers and decimals using <, >, and =
Round whole numbers and decimals to any given place value
Represent fractions as decimals and decimals as fractions with denominators of 10, 100, and 1000
Explain verbally why a digit's value changes when it shifts one place left or right
Your checkpoint
A one-page place-value reference sheet plus 20 self-made practice items (with answer key) covering place value, ordering, rounding, and fraction-decimal conversion, scored at 90% or better
Number
Add and subtract multi-digit whole numbers and decimals, aligning place values correctly
Multiply multi-digit whole numbers using the standard algorithm
Divide whole numbers with up to four-digit dividends and two-digit divisors, interpreting remainders in context
Multiply and divide decimals by powers of 10 and by single-digit whole numbers
Estimate products and quotients first, then check the exact answer against the estimate
Your checkpoint
A timed 15-item computation set (mixed whole numbers and decimals) completed in 25 minutes with at least 85% accuracy, with every missed item reworked and annotated
Number & Patterns and Relations
Find factors, multiples, GCF, and LCM of pairs of numbers and use them to simplify fractions
Add and subtract fractions and mixed numbers with unlike denominators
Multiply a fraction by a whole number and by another fraction, using area models to justify the result
Write and evaluate simple algebraic expressions in which a letter stands for an unknown number
Solve one-step equations involving addition, subtraction, multiplication, or division with a variable
Your checkpoint
A 10-item mixed quiz (5 fraction-operation items, 5 expression/equation items) with full worked solutions, scoring at least 80%
Patterns and Relations
Extend, describe, and write a rule for numeric patterns including those that grow by a constant difference or a constant multiplier
Complete and interpret input-output (function) tables and state the rule in words and as an expression
Graph ordered pairs from a table on a coordinate grid and describe the resulting pattern
Translate a simple word problem into an expression or equation and solve it
Justify whether a given value is a solution to an equation by substituting and checking
Your checkpoint
A pattern-and-relations portfolio of 6 items (2 numeric patterns, 2 input-output tables with rules, 2 word problems turned into equations) each with a written explanation of the rule, checked against a rubric
Patterns and Relations & Shape and Space
Classify angles as acute, right, obtuse, or straight and estimate their measures in degrees
Measure and draw angles to the nearest degree using a protractor
Identify and classify triangles by side length and by angle measure, and name quadrilaterals by their properties
Solve problems involving unknown angles in a triangle and in complementary and supplementary pairs
Convert between units of length, mass, and capacity within the metric system
Your checkpoint
A hand-drawn geometry diagram set: 8 angles drawn to a specified measure and 6 triangles/quadrilaterals labeled with side and angle classifications, verified with a protractor, all correct within 2 degrees
Shape and Space
Calculate the perimeter and area of rectangles, triangles, and parallelograms using the correct formulas
Find the area of composite shapes by decomposing them into rectangles and triangles
Determine the volume of right rectangular prisms using unit cubes and the formula length x width x height
Convert among cubic units and identify the appropriate unit for a given measurement situation
Create and interpret a net for a rectangular prism and connect the net's faces to surface area
Your checkpoint
A composite-shape design project on grid paper: one figure made of at least four rectangles/triangles with perimeter, area, and volume of the enclosing prism all calculated and shown in a labeled diagram
Statistics and Probability
Construct and read line plots, bar graphs, and double bar graphs, choosing an appropriate scale and title
Calculate mean, median, mode, and range for a data set and describe what each measure tells you
Identify and describe the shape of a data distribution and explain how an outlier affects the mean
Express the probability of a simple event as a fraction, decimal, and percent between 0 and 1
Compare theoretical probability with experimental results from a simple trial such as rolling a number cube
Your checkpoint
A statistics mini-report: collect or use a 15-value data set, present it in a labeled graph, compute all four measures of center/spread, and state the probability of two events, with a two-paragraph written summary
Number & Patterns and Relations & Shape and Space & Statistics and Probability
Take two full-length mixed practice tests under timed conditions and record the score by domain
Rework every missed item from both practice tests and write the reason for each error
Re-derive the 12 most-used formulas and procedures from memory on a blank sheet
Solve 10 mixed multi-step word problems that combine two or more domains
Build a personal error log of the 8 most frequent mistakes and the correction for each
Your checkpoint
A completed error log with all missed items from both practice tests reworked and explained, plus a final timed practice test score of at least 80% overall with no domain below 70%
Milestones
Week 2: Complete the timed computation set at 85% or better and correctly explain place value and rounding to a study partner or in writing without notes
Week 4: Score at least 80% on the fraction/expression quiz and correctly state the rule for 5 out of 5 input-output tables
Week 6: Draw 8 angles within 2 degrees of target and correctly compute perimeter, area, and volume on the composite-shape project with no formula errors
Week 8: Score at least 80% overall on the final timed practice test with no single domain below 70%, and submit a complete error log