NB Grade 7 Math study plan
NB Grade 7 Math · Give each week a clear focus.
8 weeks · About 6 hours per week
Number: number sense, operations, and integers
Represent, compare, and order integers on a horizontal and vertical number line, including values below zero in real contexts such as temperature and elevation.
Add and subtract integers by applying sign rules and by justifying each result with a number-line or counter model.
Multiply and divide integers by applying sign rules, and explain in writing why a negative times a negative gives a positive product.
Evaluate multi-step numerical expressions involving integers by applying order of operations (brackets, then multiplication and division left to right, then addition and subtraction left to right).
Your checkpoint
A 30-question integer operations quiz (mixed add, subtract, multiply, divide, and order of operations) scored at 85% or better, plus a corrected error log listing each missed item, the mistake made, and the rule that fixes it.
Number: number sense, operations, and integers
Find factors, multiples, greatest common factor, and least common multiple of pairs of whole numbers, and use prime factorization to justify each answer.
Apply divisibility rules for 2, 3, 4, 5, 6, 9, and 10 to classify numbers without dividing.
Translate and solve word problems involving integers in context, including bank balances, temperature change, and elevation gain or loss.
Identify and correct errors in worked integer solutions by checking each step against the order of operations.
Your checkpoint
A one-page personal rule sheet for integer and order-of-operations procedures, plus 20 mixed application word problems solved with 85% accuracy and full step-by-step work shown.
Number: fractions, decimals, percent, ratio, and rate
Convert fluently among fractions, terminating decimals, and percents, and order a mixed set of rational numbers from least to greatest.
Add, subtract, multiply, and divide fractions and mixed numbers, and simplify each result to lowest terms.
Solve percent problems involving finding the part, the whole, and the percent, including discount, tax, and tip situations.
Estimate a reasonable answer before computing with fractions or percents, then compare the estimate to the exact result.
Your checkpoint
A 25-question conversion-and-operations quiz scored at 80% or better, plus a set of 10 percent word problems (discount, tax, tip) solved with work shown.
Number: fractions, decimals, percent, ratio, and rate
Write, simplify, and interpret ratios in three forms, and use them to compare quantities in real situations.
Calculate unit rates and unit prices, and use them to determine the better buy between two options with written justification.
Solve proportions, including scale problems on drawings and maps, by using equivalent ratios and cross-multiplication.
Distinguish between ratio, rate, and proportion, and choose the correct model when setting up a word problem.
Your checkpoint
A cumulative 40-question test covering Domains 1 and 2, scored at 80% or better, accompanied by a written error analysis of every missed question sorted by skill.
Patterns and Relations: patterns, linear relations, and equations
Extend numeric and pictorial patterns, describe the rule in words, and write a general term as an algebraic expression using a variable.
Evaluate algebraic expressions by substituting given values for variables, following order of operations.
Solve one-step and two-step linear equations with integer and rational coefficients, and check each solution by substitution.
Translate a written situation into an equation, solve it, and state the answer in the context of the problem.
Your checkpoint
A portfolio of 20 equations solved with substitution checks shown, plus 5 pattern tasks in which a table of values, a verbal rule, and an expression are all produced and matched.
Patterns and Relations: patterns, linear relations, and equations & Shape and Space: measurement (circles, area, volume) and 3-D objects
Build a table of values from a linear relation, plot the ordered pairs on a four-quadrant grid, and decide whether the relation is linear by inspecting constant differences.
Interpret the meaning of a point on the graph of a relation arising from a real situation, such as distance over time.
Calculate the circumference and area of a circle when given either the radius or the diameter, using 3.14 as an approximation for pi.
Solve a multi-step problem that requires choosing between circumference and area and explaining the choice in writing.
Your checkpoint
A graphing task with four linear relations tabulated and plotted on labeled grids, plus a 10-question circle problem set scored at 80% or better.
Shape and Space: measurement (circles, area, volume) and 3-D objects & Shape and Space: transformations and coordinate geometry
Calculate the area of parallelograms, triangles, and trapezoids, and decompose a composite figure into simpler shapes to find its total area.
Determine the volume and surface area of right rectangular prisms and right cylinders, selecting the correct formula and units for each.
Plot and identify ordered pairs in all four quadrants and describe the location of a point relative to the axes.
Perform and describe single transformations, including translations, reflections, and rotations of 90 and 180 degrees, on a coordinate grid.
Your checkpoint
A mixed 20-question set covering area, volume, surface area, plotting, and transformations, scored at 80% or better, with a labeled diagram for each transformation item showing the pre-image and image.
Statistics and Probability: data analysis and chance & Patterns and Relations: patterns, linear relations, and equations
Calculate mean, median, mode, and range for a data set and justify which measure best represents the data when outliers are present.
Read, interpret, and construct bar graphs, line graphs, and circle graphs, and identify misleading features in a graph.
Determine the theoretical probability of simple events and express it as a fraction, decimal, and percent, and compare it with experimental results.
Complete a timed full-length practice exam and classify every error by domain to plan final review.
Your checkpoint
A 60-question cumulative timed practice exam scored at 80% or better, plus an error log organized by domain that names the top three skills needing further review.
Milestones
Week 2: Complete a 20-question integer fluency check without a calculator in 25 minutes and score at least 85%, demonstrating that the heaviest domain is secure before moving on.
Week 4: Score at least 80% on the cumulative Domains 1 and 2 test, and show an error log in which every missed item has been reworked correctly.
Week 6: Solve 10 mixed one- and two-step equations with 90% accuracy and correctly graph at least 3 of 4 linear relations from a table of values.
Week 8: Score at least 80% on the full-length cumulative practice exam and submit an error log identifying the three weakest skills with a written review plan for each.