Mathematics 6 — Course Syllabus

MATATAG Curriculum · Key Stage 2 · School Year 2026–2027

The three-term school year

From SY 2026–2027 the school year runs in three terms, not four quarters. Each term pairs protected instructional time with a block for assessment, remediation, and reporting.

The curriculum guide predates this calendar and still assigns content to four quarters. Those competencies are unchanged — only their container moved. §4 keeps the CG's quarter attribution visible on every row, and §5 maps the four quarters onto the three terms.

1. Course Description

Mathematics 6 closes Key Stage 2. It is the last year before the learner meets a variable, and almost everything in it is chosen to make that meeting survivable.

Three threads run through the year:

• Every number is a fraction. Grade 5 taught fraction × fraction. Grade 6 removes the restriction: whole numbers, mixed numbers and fractions multiply and divide in any combination, because a whole number is a fraction with 1 underneath and a mixed number can always be made improper. One rule, not four.
• The same quantity, written three ways. Ratio, percentage, fraction and decimal are introduced as the same information in different clothes. A learner who can move between them fluently has the single most portable skill in the Key Stage.
• Circles, and the first irrational number the learner meets. π is not handed over as 3.14. It is measured — string round a tin, divided by the diameter, done four times with four different tins until the class notices the answer keeps coming out the same. That measurement is the point; the formula is the souvenir.

Two things get harder here in ways that catch classes out. Exponential form arrives with GEMDAS, and learners who have never had to evaluate before multiplying now must. And volume finally gets a formula, after Grade 5 estimated it by filling boxes with bottle caps — the transition from counting to calculating is where the unit error (cm versus cm³) is born.

Context stays local: the tricycle fare per kilometre, the tarpaulin priced by the square metre, the drum of water measured in litres and in cubic centimetres, the barangay budget as a pie graph.

2. Grade Level Standard

Quoted verbatim from the MATATAG Mathematics Curriculum Guide (DepEd, August 2023), page 22.

GRADE 6 — The learner demonstrates knowledge, skills, and understanding in relation to the curriculum content domains Number and Algebra (the four operations with decimals; the four operations with different combinations of fractions, whole numbers, and mixed numbers; ratio and proportion; percentages, and their relationships with fractions and decimals; exponential form, including calculation using the GEMDAS rules; common factors, greatest common factors, common multiples, and least common multiples); Measurement and Geometry (tessellation of shapes; translation, reflection, and rotation with shapes; units of volume and capacity; volume of cubes and rectangular prisms; perimeter and area of triangles, parallelograms, trapezoids, and composite figures composed of triangles, squares, and rectangles; parts of a circle, including circumference; area of a circle; composite figures composed of any two or more of: triangle, square, rectangle, circle, semi-circle); and Data and Probability (construction and interpretation of pie graphs). This knowledge, skills, and understanding is applied, in association with the use of technology, in the processes within Mathematics of critical thinking, problem solving, communicating, reasoning, and making connections between topic areas.

3. Content Domains

What Grade 6 does not cover, though Key Stage 3 will assume it soon: integers and negative numbers (Grade 7), algebraic expressions and variables (Grade 7 for substitution, Grade 8 for operations), square roots (Grade 7), and probability (Grade 6 Data and Probability is pie graphs only — the last probability work was Grade 5's theoretical probability, and the next is Grade 7).

Where the domains sit. Quarter 2 is Number and Algebra alone. Quarter 3 is Measurement and Geometry alone. Quarters 1 and 4 mix — Quarter 4 is the only quarter in the grade that touches all three domains.

4. Content Map

Every entry below is quoted or closely transcribed from the official curriculum guide (DepEd, August 2023, pages 48–51), committed to this repository at docs/research/source/. Competency numbers are the CG's own and are quarter-relative.

Performance tasks are this syllabus's suggestions, not CG content — they are marked as such.

CG Quarter 1 — Tessellation, Transformations, Decimals, and Mixed Combinations

Taught in Term 1, weeks 1–9

CG Quarter 2 — Ratio, Proportion, Percentage, and Exponents

Opens in Term 1 (weeks 10–11); completed in Term 2 (weeks 12–17)

CG Quarter 3 — Volume, Capacity, Area, and the Circle

Opens in Term 2 (weeks 18–22); completed in Term 3 (weeks 23–25)

CG Quarter 4 — Area of a Circle, Composite Figures, Pie Graphs, GCF and LCM

Taught in Term 3, weeks 26–33

A note on Quarter 4 competency 8. Interpret data from digital media presented in tabular or graphical form is the only competency in Grade 6 Mathematics that is really about media literacy. It is easy to skip because it has no calculation in it. Do not — it is the foundation for the Grade 9 competency on data that may be misleading, and it works well taught alongside competency 7 rather than alone.

5. Term-by-Term Scope and Sequence

Thirty-three instructional weeks, eleven per term — an even split this repository chose, not one DO 009 specifies. Assessment, remediation and reporting sit in each term's end-of-term block rather than consuming a teaching week.

⚠️ The real terms are not equal. DO No. 009, s. 2026 is reported as 54 instructional days in Term 1, 55 in Term 2 and 61 in Term 3, each with a 10-day end-of-term block, across 201 class days — roughly 34 teaching weeks split 11 / 11 / 12. The even grid below is therefore slightly tight in Term 3. The Budget of Work is what should settle it, and it remains unobtained. If you are pacing a real class, give Term 3 the slack.

Every one of the 52 CG competencies appears exactly once. Sixteen weeks pair naturally adjacent competencies — marked ⊕ — rather than dropping content.

What is authoritative here and what is not. The CG assigns content to quarters. DepEd's Budget of Work assigns it to weeks. This repository has neither the Grade 6 Budget of Work nor the DO 009 implementing annexes — both are behind a network block (source-catalogue.md). The term boundaries and week numbers below are this repository's proposal, derived from the CG's own listing order. A school's approved budget of work may order it differently. Adjust freely.

Term 1 — June to September

CG Quarter 1 complete, then the opening of CG Quarter 2.

End-of-term block — performance task, Term 1 examination, remediation, reporting.

Term 2 — September to December

The rest of CG Quarter 2, then the opening of CG Quarter 3.

End-of-term block — performance task, Term 2 examination, remediation, reporting.

Term 3 — January to April

The rest of CG Quarter 3, then CG Quarter 4 complete.

End-of-term block — performance task, Term 3 examination, closing activities, reporting.

Coverage check

All 52 CG competencies are placed. None is taught twice, and none is dropped.

Week 33 carries three competencies, and that is the tightest week in the grade. GCF and LCM by three methods each, plus problems, is not a week's work — it is nearer two. It sits last because everything before it is prerequisite to Grade 7 and this is not. If Term 3 runs long, as DO 009's day counts suggest it will, spend the slack here.

6. Assessment and Grading

Per DO No. 015, s. 2026. Mathematics is a Key Stage 2 core learning area:

Transmutation is being withdrawn, and this school year sits in the middle of that.

Any spreadsheet built from this syllabus needs a year switch, not a fixed table. class-record.html implements exactly this.

⚠️ Reported, not verified. DO No. 015, s. 2026 could not be downloaded in the environment these artifacts were built in — see source-catalogue.md. Two independent search passes returned the same 20 / 50 / 30 split and the same examination subdivision, attributed to the Key Stage 2–3 core learning areas. Two passes agreeing is not the order itself. Confirm before computing a real grade.

Formative assessment used weekly

Formative work is not graded — it steers instruction.

• Exit tickets — one question at the end of each session
• The conversion check — for any answer involving ratio, percentage or a fraction, ask for it in one of the other forms. A learner who can produce 3/4 but not 75% or 0.75 has three separate facts, not one idea, and Grade 7's rate work will find that out
• The game's Teacher Panel — per-round accuracy against the week's competency
• Unit hunts — learners find and correct a planted unit error (cm where cm³ belongs). This is the single most common Grade 6 measurement mistake and it is invisible in a correct number

7. Learner Support

8. Materials

No-cost / recycled — the default. The course is designed to run on these alone.

• Squared paper, or a hand-ruled grid, for area and tessellation work
• Cardboard offcuts cut into congruent triangles, squares and hexagons — the tessellation set, made once and reused
• String and a ruler — this is the entire apparatus for measuring π
• Round tins, lids, bottle bases and plates of very different sizes for Quarter 3
• Rice, sand or water and a set of containers for capacity
• Flattened grocery cartons for volume and nets
• Chalk and the board

If available.

• One projector or television for the slide deck
• Any device with a browser for the game
• A protractor per pair for pie graphs in Quarter 4 — the one item on this list with no no-cost substitute. A paper circle folded into halves, quarters and eighths gives 180°, 90° and 45° and gets most of the way

9. Curriculum Verification — Completed

This syllabus has been checked against the official curriculum guide, committed to this repository:

• docs/research/source/MATATAG-Mathematics-CG-2023-Grades1-10.pdf — MATATAG K to 10 Curriculum of the K to 12 Program: Mathematics, Grades 1–10, Department of Education, August 2023, 73 pages.

Part of the E-turo MATATAG artifact set. Companion files: lesson-plan-ilaw.md · lesson-plan.md · assessment.md · offline-activities.md · slides.html · game.html · worksheet.html · class-record.html