P1–P6 CURRICULUM
P1–P6 Core: every lesson leaves verifiable evidence of learning.
Every lesson defines a knowledge goal, mathematical representation, common misconception and observable output. English titles align with student materials; parent-facing descriptions clarify where the lesson sits in the pathway.
LEVEL & SEMESTER EXPLORER
Choose a level, then explore the learning path for each semester.
The selected level, semester and lesson remain in the URL so families and consultants can review the same pathway together.
counting to 100, number bonds, the meaning of addition and subtraction, early multiplication and division, money, time and graphs
| Course ID | English Lesson Title | Core knowledge / method | Time | Evidence | View |
|---|---|---|---|---|---|
| SGM-P1A-001 | Counting Sets to 10 | Explore “Counting Sets to 10” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-002 | Read and Write Numbers to 10 | Explore “Read and Write Numbers to 10” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-003 | Compare Sets and Numbers | Explore “Compare Sets and Numbers” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-004 | Order and Ordinal Numbers | Explore “Order and Ordinal Numbers” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-005 | Part-Whole and Number Bonds to 10 | Explore “Part-Whole and Number Bonds to 10” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-006 | Addition as Putting Together | Explore “Addition as Putting Together” through models, choose an efficient strategy and explain why it works. | 40 min | R/M/E/C | |
| SGM-P1A-007 | Subtraction as Taking Away and Comparing | Explore “Subtraction as Taking Away and Comparing” through models, choose an efficient strategy and explain why it works. | 40 min | R/M/E/C | |
| SGM-P1A-008 | Fact Families to 10 | Build a clear model for “Fact Families to 10”, connect representations and explain the reasoning. | 40 min | R/M/E/C | |
| SGM-P1A-009 | Numbers 11 to 20 | Explore “Numbers 11 to 20” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-010 | Compare and Order to 20 | Explore “Compare and Order to 20” with objects, diagrams and precise mathematical language. | 40 min | R/M/E/C | |
| SGM-P1A-011 | Make Ten to Add | Explore “Make Ten to Add” through models, choose an efficient strategy and explain why it works. | 40 min | R/M/E/C | |
| SGM-P1A-012 | Subtract from Ten | Explore “Subtract from Ten” through models, choose an efficient strategy and explain why it works. | 40 min | R/M/E/C | |
| SGM-P1A-013 | Addition and Subtraction Stories | Explore “Addition and Subtraction Stories” through models, choose an efficient strategy and explain why it works. | 40 min | R/M/E/C | |
| SGM-P1A-014 | Measure Length with Units | Apply “Measure Length with Units” in real situations, estimate sensibly and explain the result. | 40 min | R/M/E/C | |
| SGM-P1A-015 | 2D and 3D Shapes | Explore “2D and 3D Shapes” with diagrams, measurements and precise mathematical reasoning. | 40 min | R/M/E/C | |
| SGM-P1A-016 | P1A Integration: Show Two Ways | Connect ideas in “P1A Integration: Show Two Ways”, choose an efficient strategy and justify the solution. | 40 min | R/M/E/C/T |
01SGM-P1A-001Counting Sets to 10+
Explore “Counting Sets to 10” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
02SGM-P1A-002Read and Write Numbers to 10+
Explore “Read and Write Numbers to 10” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
03SGM-P1A-003Compare Sets and Numbers+
Explore “Compare Sets and Numbers” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
04SGM-P1A-004Order and Ordinal Numbers+
Explore “Order and Ordinal Numbers” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
05SGM-P1A-005Part-Whole and Number Bonds to 10+
Explore “Part-Whole and Number Bonds to 10” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
06SGM-P1A-006Addition as Putting Together+
Explore “Addition as Putting Together” through models, choose an efficient strategy and explain why it works.
- Time
- 40 min
- Evidence
- R/M/E/C
07SGM-P1A-007Subtraction as Taking Away and Comparing+
Explore “Subtraction as Taking Away and Comparing” through models, choose an efficient strategy and explain why it works.
- Time
- 40 min
- Evidence
- R/M/E/C
08SGM-P1A-008Fact Families to 10+
Build a clear model for “Fact Families to 10”, connect representations and explain the reasoning.
- Time
- 40 min
- Evidence
- R/M/E/C
09SGM-P1A-009Numbers 11 to 20+
Explore “Numbers 11 to 20” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
10SGM-P1A-010Compare and Order to 20+
Explore “Compare and Order to 20” with objects, diagrams and precise mathematical language.
- Time
- 40 min
- Evidence
- R/M/E/C
11SGM-P1A-011Make Ten to Add+
Explore “Make Ten to Add” through models, choose an efficient strategy and explain why it works.
- Time
- 40 min
- Evidence
- R/M/E/C
12SGM-P1A-012Subtract from Ten+
Explore “Subtract from Ten” through models, choose an efficient strategy and explain why it works.
- Time
- 40 min
- Evidence
- R/M/E/C
13SGM-P1A-013Addition and Subtraction Stories+
Explore “Addition and Subtraction Stories” through models, choose an efficient strategy and explain why it works.
- Time
- 40 min
- Evidence
- R/M/E/C
14SGM-P1A-014Measure Length with Units+
Apply “Measure Length with Units” in real situations, estimate sensibly and explain the result.
- Time
- 40 min
- Evidence
- R/M/E/C
15SGM-P1A-0152D and 3D Shapes+
Explore “2D and 3D Shapes” with diagrams, measurements and precise mathematical reasoning.
- Time
- 40 min
- Evidence
- R/M/E/C
16SGM-P1A-016P1A Integration: Show Two Ways+
Connect ideas in “P1A Integration: Show Two Ways”, choose an efficient strategy and justify the solution.
- Time
- 40 min
- Evidence
- R/M/E/C/T
Compare Sets and Numbers
Explore “Compare Sets and Numbers” with objects, diagrams and precise mathematical language.
R/M/E/CView the complete sample lesson ↓REPRESENTATIVE LESSON
SGM-P1A-03-A · 40 MINWhich Group Has More?
This representative lesson moves from an intuitive judgement to one-to-one pairing, then uses more, fewer, and the same as to state and prove the result.
40-minute goals
- Compare two groups by pairing one-to-one
- Use Pair → Look → Say to compare fairly
- Describe more, fewer, or the same as
- Explain why spacing does not change quantity
- Complete a comparison independently
Evidence of successful performance
- A has more than B because one counter is left over.
- Pair the two groups one-to-one and identify whether anything is left over
- Recognise that a longer arrangement does not mean a greater quantity
- Explain a comparison fully using more, fewer, and the same as
Common misconceptions
- Assuming a longer-looking row must contain more
- Giving an answer without being able to explain why
- Confusing more, fewer, and the same as
- Using >, <, or = without connecting the symbol to the quantities
THE 40-MINUTE LESSON FLOW
One lesson, from prerequisite check to independent evidence.
Every phase connects to a real material page; an abstract flowchart never replaces the classroom evidence.
Before counting, choose the group that looks like it has more and share the intuitive judgement.
The teacher uses the learner’s answer, actions and error path to decide whether to ask another question, change the representation or move forward.
PREREQUISITE & PROGRESSION
Not a collection of isolated problems, but a connected curriculum sequence.
- BEFORE · P1ACounting Sets to 10First count one-to-one and understand that the last number tells the total
- NOW · P1AWhich Group Has More?Use one-to-one pairing to decide more, fewer, or the same as
- NEXT · P1AOrder and Ordinal NumbersMove into number order and first through tenth
- LATER · P1APart-Whole and Number Bonds to 10Carry comparison and quantity understanding into part-whole relationships
FIND THE RIGHT START
Not sure whether to begin at P1 or P2?
Let a teacher first observe how the learner represents, explains and checks, then recommend the right starting point.