Classroom packs / Upper-volume planPLAN · PRACTISE · REVISE
Year 7 and Year 8: upper-volume chapter core practice 9 textbook chapters, 28 classroom packs and 448 fixed original questions.
Use after the corresponding textbook lessons and for chapter review. Year 7 has 50 textbook lessons and Year 8 has 52; this plan preserves their teaching sequence.
All 53 Year 7–8 upper- and lower-volume packs in Traditional Chinese and English. Includes teacher answers; student core, further practice and teacher papers are in separate folders.
Use the same bank in two ways Ordinary classes: prerequisites 4 min, short inquiry 5, worked and guided attempts 8, independent practice 15, correction 5, exit 3. Advanced classes: inquiry 18, organise 4, selected practice 13, exit 5.
Every pack has one worked example, one guided attempt, eight core tasks, four follow-ups and two extensions. Student core worksheets contain two A4 pages; supplements and teacher references are separate.
Year 7 upper volume Rational numbers: position, opposites and absolute value Use signed quantities, number-line order, opposite numbers and distance from zero in a fixed core-practice lesson.
Referenced lessons 1, 2, 3, 4, 5, 6, 7 Rational numbers: operations, powers and large numbers Select core signed arithmetic, fractions, powers, scientific notation and rounding after the relevant textbook periods.
Referenced lessons 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 Expressions: terms, coefficients and values Read the structure of a monomial or polynomial, distinguish coefficient from degree, and substitute signed values.
Referenced lessons 21, 22 Polynomials: collect terms and remove brackets Keep signed coefficients, distinguish unlike powers, apply the distributive law and check by substitution.
Referenced lessons 23, 24, 25, 26, 27 Equations: meaning, solutions and equal operations Distinguish an expression from an equation in an unknown, test a solution and explain operations on both sides.
Referenced lessons 28, 29 Linear equations: collect like terms Collect variable terms on the same side, handle negative coefficients and check each solution. A 40-minute projection and paper lesson.
Referenced lessons 30 Linear equations: transpose and verify Solve equations with variable terms on both sides, explain each sign change and verify in the original equation. A 40-minute paper-first lesson.
Referenced lessons 31 Equations: brackets and constant denominators Distribute to every term, clear constant denominators on the whole equality and verify in the original equation.
Referenced lessons 32, 33 Equations in context: quantities, rates and conditions Choose representative cost, travel, work-rate, percentage, ratio and tiered-price models; verify the solution in context.
Referenced lessons 34, 35, 36, 37, 38, 39 Geometric objects, segments and midpoints Distinguish lines, rays and segments; count cube elements and use point order and midpoint conditions.
Referenced lessons 40, 41, 42, 43, 44, 45 Angles: addition, bisectors, complements and supplements Use ray order, degree-minute conversion, internal bisectors and the correct total for complementary or supplementary angles.
Referenced lessons 46, 47, 48, 49, 50 Year 8 upper volume Triangle sides, medians and altitudes Consolidate strict triangle inequalities, perimeter and the definitions of supporting segments.
Referenced lessons 1, 2 Triangle and polygon angles Choose the correct angle sum, distinguish adjacent and remote angles, and count polygon sides.
Referenced lessons 3, 4, 5, 6 Chapter12 · text pp.13–28
Congruent triangles Review criteria, then practise the bisector property · Foundation lessons 7–14
Congruence: correspondence, SSS and SAS Read the vertex order, check included angles and build short justified proofs.
Referenced lessons 7, 8, 9 Congruence: ASA, AAS and right-triangle HL Select a criterion from the actual givens and complete a short proof without circular assumptions.
Referenced lessons 10, 11, 12 Angle bisectors: perpendicular distances and the forward proof Distinguish distance from an oblique segment, practise equal lengths, and fade an AAS proof scaffold.
Referenced lessons 13 Angle bisectors: the converse and applications Separate the two directions, construct an HL proof, and use equal distances in angle and perimeter problems.
Referenced lessons 14 Recognising reflection symmetry and counting axes Use the fold test, distinguish a figure’s own symmetry from a pair of reflected figures, and count complete axes.
Referenced lessons 15 Perpendicular bisectors: properties and the SSS converse Separate perpendicularity from midpoint information, prove equal endpoint distances, and use SSS for the converse.
Referenced lessons 16 Constructing symmetry axes with ruler and compass Construct perpendicular bisectors, check one common axis against all supplied pairs, and draw complete axes of familiar figures.
Referenced lessons 17 Reflecting whole figures and coordinates Use a given axis to reflect every vertex, then connect the construction with x/y-coordinate rules.
Referenced lessons 18, 19 Isosceles, equilateral and special-triangle practice Apply properties and converses with conditions; use 30° right triangles and an optional reflection shortest-path extension.
Referenced lessons 20, 21, 22, 23, 24, 25 Powers and polynomial multiplication Consolidate the three power laws and distribute monomial or polynomial products accurately.
Referenced lessons 26, 27, 28, 29, 30, 31 Special products and polynomial division Practise difference of squares, complete squares and every-term division while retaining nonzero divisors.
Referenced lessons 32, 33, 34, 35, 36 Factorisation: common factors and square patterns Choose a method, factor completely over integers and check by expanding.
Referenced lessons 37, 38, 39 Rational expressions: meaning, domain and cancellation Separate zero numerators from zero denominators and retain restrictions after cancellation.
Referenced lessons 40, 41 Rational operations, integer powers and scientific notation Consolidate common denominators, multiplication/division and negative powers, with short scientific-notation checks.
Referenced lessons 42, 43, 44, 45, 46, 47, 48 Rational equations: checking and applications Clear denominators completely, check extraneous candidates, and model work-rate and travel problems.
Referenced lessons 49, 50, 51, 52 Collect classroom evidence, then deepen the set Record completion of the core tasks, both exit questions and two common errors. If many students cannot finish, add guidance or split a step before increasing the question count. After the chapter core set, add lesson-by-lesson variants using this evidence, then deepen the sets in both volumes.
The questions and explanations are original. Textbook and foundation page references identify the skills; the source PDFs and answer books are not reproduced. Paper answers do not create automatic scores or browser learning records.
