Core textbook
Shanghai Maths · Grade 3
One Lesson One Exercise (2nd Edition)
One Lesson One Exercise
First Semester
Chapters 1–6 — revision, multiplication, time, division, geometry, and consolidation.
Chapter 1 · Revising and improving Open a note to review objectives, core concepts, and lesson flow.
1.1
Warm-up revision (1)
Place value, unit language, parts of +, −, ×, and properties · pages 1–2
Open → 1.2Warm-up revision (2)
Order of operations, column method, division relationship · pages 3–5
Open → 1.3Warm-up revision (3)
Solids, square, units, triangles, and applications · pages 6–7
Open → 1.4Multiplying and dividing more than two numbers
×÷ chains, parentheses, associative models · pages 8–9
Open → 1.5Figures made up of squares — multi-square blocks
Naming, growing, and tiling polyominoes · pages 10–11
Open → UT1Unit Test 1
Chapter 1 review — fluency, geometry, applications · pages 12–15
Open →Chapter 2 · Multiplying by a one-digit number From whole tens/hundreds to two- and three-digit × one-digit — plus practice and Unit Test 2.
2.1
Multiplying whole tens and whole hundreds (1)
Place-value patterns and zeros in products · pages 16–17
Open → 2.2Multiplying whole tens and whole hundreds (2)
Tens×tens, distributive combining · pages 18–19
Open → 2.3Read the pictures and write the number sentences
Equal groups from pictures and stories · pages 20–22
Open → 2.4Two-digit × one-digit (1)
Arrays and splitting tens + ones · pages 23–24
Open → 2.5Two-digit × one-digit (2)
Column method, checking, error analysis · pages 25–26
Open → 2.6Two-digit × one-digit (3)
Fluency, matching, open sentences · pages 27–29
Open → 2.7Three-digit × one-digit (1)
Split and column method for hundreds · pages 30–31
Open → 2.8Three-digit × one-digit (2)
Zeros, inequalities, applications · pages 32–34
Open → 2.9Practice and exercise
Chapter 2 mixed review · pages 35–37
Open → UT2Unit Test 2
Chapter 2 assessment · pages 38–41
Open →Chapter 3 · Introduction to time (III) Year, month, day, leap years, calendars — plus practice and Unit Test 3.
3.1
Year, month and day (1)
Dates, days in each month, weekdays · pages 42–44
Open → 3.2Year, month and day (2)
Big/small months, elapsed time, true/false · pages 45–48
Open → 3.3Common year and leap year
365/366 days, ÷4 and ÷400 rules · pages 49–51
Open → 3.4Making a year calendar
Build next year’s calendar; find holidays · pages 52–54
Open → 3.5Practice and exercise
Chapter 3 mixed review · pages 55–57
Open → UT3Unit Test 3
Chapter 3 assessment · pages 58–61
Open →Chapter 4 · Dividing by a one-digit number From whole tens/hundreds ÷ through multi-digit division, applications, and unit price — plus Unit Test 4.
4.1
Dividing whole tens and whole hundreds
Place-value patterns for ÷ · pages 62–64
Open → 4.2Two-digit ÷ one-digit (1)
Vocabulary, remainder, equal groups · pages 65–67
Open → 4.3Two-digit ÷ one-digit (2)
Column method meaning · pages 68–70
Open → 4.4Two-digit ÷ one-digit (3)
Bounds and inequalities · pages 71–72
Open → 4.5Two-digit ÷ one-digit (4)
Fluency and enhancement puzzles · pages 73–75
Open → 4.6Two-digit ÷ one-digit (5)
Rates, packing, unit-price links · pages 76–78
Open → 4.7Three-digit ÷ one-digit (1)
Extend column method to hundreds · pages 79–80
Open → 4.8Three-digit ÷ one-digit (2)
Quotient digits and classification · pages 81–83
Open → 4.9Three-digit ÷ one-digit (3)
Inverse facts and arrangement plans · pages 84–86
Open → 4.10Three-digit ÷ one-digit (4)
Times as many; find unknowns · pages 87–89
Open → 4.11Application of division
Checking and interpreting remainders · pages 90–92
Open → 4.12Unit price, quantity and total price (1)
Price triangle and comparisons · pages 93–95
Open → 4.13Unit price, quantity and total price (2)
Multi-step money and mass · pages 96–98
Open → 4.14Practice and exercise
Chapter 4 mixed review · pages 99–101
Open → UT4Unit Test 4
Chapter 4 assessment · pages 102–105
Open →Chapter 5 · Let's practise geometry Length units, line symmetry, triangles, and area — plus Unit Test 5.
5.1
Knowing kilometres
km ↔ m conversions and path problems
Open → 5.2Metres and centimetres
m ↔ cm convert, compare, and apply
Open → 5.3Knowing decimetres
dm on the metric ladder; estimate
Open → 5.4Shapes with line symmetry
Lines of symmetry; letters and folding
Open → 5.5Classification of triangles
By angles and by sides
Open → 5.6Areas
Count unit squares; floor plans
Open → 5.7Areas of rectangles and squares (1)
From counting to length × width
Open → 5.8Areas of rectangles and squares (2)
Changes, frames, shaded regions
Open → 5.9Square metres
m² sense and field applications
Open → UT5Unit Test 5
Chapter 5 assessment
Open →Chapter 6 · Consolidation and enhancement ×÷ fluency, problem solving, tessellations, area, math plaza — plus Unit Test 6, mid-term, and end-of-term.
6.1
Multiplication and division (1)
Column ×÷, checks, applications
Open → 6.2Multiplication and division (2)
Recover dividend; track & volume stories
Open → 6.3Problem solving (1)
“Times as many” with two methods
Open → 6.4Problem solving (2)
Diagrams, error analysis, averages
Open → 6.5Problem solving (3)
Smart calc, area, mass, rates
Open → 6.6Tessellations of figures
Tile, divide squares, tangram
Open → 6.7How large are they
Grid areas and related rectangles
Open → 6.8Calculate the area of Xiao Pang's home
Floor plan and same-area problems
Open → 6.9Mathematics plaza — tree planting
Intervals, both sides, loops
Open → 6.10Mathematics plaza — repeated patterns
Cycles, nth term, sums
Open → 6.11Mathematics plaza — flowcharts
Column fluency and subtraction towers
Open → UT6Unit Test 6
Chapter 6 assessment
Open → MTMid-term test
Cumulative mid-semester paper
Open → ETEnd of term test
Full first-semester review
Open →One Lesson One Exercise
Second Semester
Chapters 1–7 — two-digit operations, statistics, fractions, calculator, perimeter, and consolidation.
Chapter 1 · Revising and improving Warm-up revision, parentheses, estimating area, square decimetres, combined figures — plus Unit Test 1.
1.1
Warm-up revision (1)
Mental ×÷, area recall, and first-semester fluency · pages 1–3
Open → 1.2Four operations with parentheses
Brackets first, then ×÷, then +− · pages 4–6
Open → 1.3Estimating area (1)
Round sides and estimate rectangle area · pages 7–9
Open → 1.4Square decimetres
dm² on the area ladder; cm² and m² links · pages 10–12
Open → 1.5Area of combined figures
Split L-shapes and polygons into rectangles · pages 13–15
Open → 1.6Practice and exercise
Mixed review — brackets, estimate, dm², combined area · pages 16–18
Open → UT1Unit Test 1
Chapter 1 assessment — fluency, area, applications · pages 19–21
Open →Chapter 2 · Multiplying and dividing by two-digit numbers Speed, time, distance; two-digit × and ÷; practice and Unit Test 2.
2.1
Speed, time and distance (1)
$D=S\times T$; fill tables · pages 22–24
Open → 2.2Speed, time and distance (2)
Mixed units; two-route stories · pages 25–27
Open → 2.3Multiplying whole tens by a two-digit number
Place-value reasoning · pages 28–30
Open → 2.4Multiplying a two-digit number by a two-digit number (1)
Split, grid, column · pages 31–33
Open → 2.5Multiplying a two-digit number by a two-digit number (2)
Column method; seating puzzles · pages 34–36
Open → 2.6Multiplying a three-digit number by a two-digit number (1)
Extend column to hundreds · pages 37–39
Open → 2.7Multiplying a three-digit number by a two-digit number (2)
Zeros; step-length problems · pages 40–42
Open → 2.8Dividing two-digit or three-digit numbers by tens
÷ 10, 20, … with remainder · pages 43–45
Open → 2.9Dividing by a two-digit number (1)
Intro column ÷; speed ranking · pages 46–48
Open → 2.10Dividing by a two-digit number (2)
Column fluency; round up boats · pages 49–51
Open → 2.11Dividing by a two-digit number (3)
Adjust trial quotient · pages 52–54
Open → 2.12Dividing by a two-digit number (4)
Road repair; work backwards · pages 55–57
Open → 2.13Dividing multi-digit numbers by a two-digit number (1)
Four-digit ÷; minimum rafts · pages 58–60
Open → 2.14Dividing multi-digit numbers by a two-digit number (2)
Mixed ×÷; medicine schedule · pages 61–63
Open → 2.15Practice and exercise
Chapter 2 mixed review · pages 64–66
Open → UT2Unit Test 2
Chapter 2 assessment · pages 67–71
Open →Chapter 3 · Statistics Bar charts (II) — draw, read, and compare — plus Unit Test 3.
Chapter 4 · Introduction to fractions (I) Whole and part, unit and non-unit fractions — plus Unit Test 4.
Guide
Understanding fraction sentences
“5/7 of 35,” “what part of 15 is 11,” “18 is 2/3 of what?”
Open → 4.1Whole and part
Whole vs part language · pages 79–80
Open → 4.2Unit fractions (1)
Read, write, and show 1/n · pages 81–82
Open → 4.3Unit fractions (2)
Unit fractions in measures; size sense · pages 83–85
Open → 4.4Non-unit fractions (1)
Fractions with numerator > 1 · pages 86–87
Open → 4.5Non-unit fractions (2)
Compare and apply non-unit fractions · pages 88–90
Open → UT4Unit Test 4
Chapter 4 assessment · pages 91–95
Open →Chapter 5 · Calculator From counting tools to calculator keystrokes — plus Unit Test 5.
Chapter 6 · Let's practise geometry Perimeter of polygons, rectangles, and squares — plus Unit Test 6.
6.1
Perimeter (1)
Trace edges; count perimeter on grids · pages 109–111
Open → 6.2Perimeter (2)
Measure and reason about perimeter · pages 112–114
Open → 6.3Perimeters of rectangles and squares (1)
Formulas: P = 2(l+w), P = 4s · pages 115–117
Open → 6.4Perimeters of rectangles and squares (2)
Composite shapes; cut squares; string problems · pages 118–120
Open → UT6Unit Test 6
Chapter 6 assessment · pages 121–125
Open →Chapter 7 · Consolidation and enhancement Consolidation, math plaza, Unit Test 7, mid-term, and end-of-term.
7.1
Multiplying and dividing
Column ×÷ review · pages 126–128
Open → 7.2Fractions
Fraction review · pages 129–131
Open → 7.3Problem solving
Multi-step word problems · pages 132–135
Open → 7.4Perimeters and areas
P and A mixed problems · pages 136–138
Open → 7.5Mathematics plaza — who encloses a larger area?
Fixed perimeter, maximum area · pages 139–141
Open → 7.6Mathematics plaza — matching
Combinations and orderings · pages 142–144
Open → 7.7Mathematics plaza — counting apples
Count figures in diagrams · pages 145–146
Open → 7.8Mathematics plaza — placing apples
Distribution tables · pages 147–148
Open → UT7Unit Test 7
Chapter 7 assessment · pages 149–152
Open → MT-AMid-term test (A)
Mid-term paper A · pages 153–157
Open → MT-BMid-term test (B)
Mid-term paper B · pages 158–161
Open → ET-AEnd of term test (A)
End-of-term paper A · pages 162–167
Open → ET-BEnd of term test (B)
End-of-term paper B · pages 168–172
Open →Companion practice · Shanghai ideas
Singapore Math Intensive Practice 3A
Topics 1–5 + Mid-Year Review — place value, ±, ×÷, and money, mapped to Shanghai Maths Grade 3.