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Assessment Pack — Mathematics 9

Term 1 · MATATAG Curriculum · Key Stage 3 · SY 2026–2027

Learning Area Mathematics
Grade Level Grade 9
Term Term 1 (weeks 1–11)
Assessment Basis DO No. 015, s. 2026
Key Stage Key Stage 3 — numerical grades apply

⚠️ The weights are reported, and the Key Stage 3 attribution is an inference. See source-catalogue.md. The item content below is this repository's own work; confirm the weights before computing a real grade.

1. How assessment works this year

Component Weight What goes in it
Written Works 20% Weekly checks, worksheets, quizzes, seatwork with reasoning shown
Performance Tasks 50% The term performance task, group activities, oral explanations
Examinations 30% Summative Test 1 · Summative Test 2 · Term Examination
Instrument Share of the 30% When Covers
Summative Test 1 30% End of Week 5 Weeks 1–5
Summative Test 2 30% End of Week 10 Weeks 6–10
Term 1 Examination 40% End-of-term block Weeks 1–11

A summative may not exceed half the term examination's item count — 40 items, so 20 each. The Table of Specifications is this repository's, not DepEd's.

2. Table of Specifications — Term 1 Examination

40 items · Remembering · Understanding · Applying · Analysing

Weeks Content CG Items Item nos. R U Ap An %
1–2 Geometric notation and constructions Q1 · 1–2 4 1–4 2 1 1 — 10.0
3–4 Parallel lines cut by a transversal Q1 · 3–4 6 5–10 1 2 2 1 15.0
5–6 Relations, functions, domain and range Q1 · 5–7 6 11–16 2 2 1 1 15.0
7 Slope as a rate of change; zeros Q1 · 8 9 17–25 1 2 4 2 22.5
8 Graphing linear functions; real-life problems Q1 · 9–11 6 26–31 1 2 2 1 15.0
9–11 Parallelism; quadrilaterals; parallelograms Q2 · 1–3 9 32–40 1 2 4 2 22.5
Total 40 8 11 14 7 100

3. Summative Test 1 — Weeks 1–5

20 items · 40 minutes · end of Week 5

Part A · Geometric notation (items 1–5)

  1. How many endpoints has a line segment? ______
  2. A ray has one endpoint and continues without end in one direction. True or false? ______
  3. Two lines in the same plane that never meet are called ______
  4. Two lines that meet at 90° are called ______
  5. Name the geometric figure that has no length, width or thickness. ______

Part B · Parallel lines cut by a transversal (items 6–12)

  1. Corresponding angles are ______
  2. Alternate interior angles are ______
  3. Co-interior (same-side interior) angles are ______
  4. An angle measures 70°. What is its vertical angle? ______
  5. Parallel lines are cut by a transversal and one angle is 115°. Its corresponding angle is ______
  6. In the same figure, the co-interior angle is ______
  7. Angles on a straight line add to ______

Part C · Relations and functions (items 13–20)

  1. Is {(1, 2), (2, 4), (3, 6)} a function? ______
  2. Is {(1, 2), (1, 3), (2, 4)} a function? ______
  3. Give the domain of {(1, 2), (2, 4), (3, 6)}. ______
  4. Give the range of {(1, 2), (2, 4), (3, 6)}. ______
  5. What does the vertical line test tell you? ______
  6. For y = 2x + 1, find y when x = 3. ______
  7. For y = 2x + 1, find x when y = 11. ______
  8. Is a vertical line a function? ______

Answer key — Summative Test 1

# Answer # Answer
1 2 11 65°
2 True 12 180°
3 Parallel 13 Yes
4 Perpendicular 14 No — 1 is paired with two values
5 A point 15 {1, 2, 3}
6 Equal 16 {2, 4, 6}
7 Equal 17 Whether a graph represents a function
8 Supplementary — they add to 180° 18 7
9 70° 19 5
10 115° 20 No

Marking notes.

4. Summative Test 2 — Weeks 6–10

20 items · 40 minutes · end of Week 10

Part A · Slope from a graph (items 1–4)

Find the slope of the line through each pair of points.

  1. (0, 0) and (4, 8) ______
  2. (0, 6) and (2, 0) ______
  3. (1, 3) and (5, 3) ______
  4. (3, 1) and (3, 7) ______

Part B · Slope and zeros from an equation (items 5–9)

  1. y = 5x − 2. Slope? ______
  2. y = −3x + 9. Slope? ______ Zero? ______
  3. y = 7 − 2x. Slope? ______
  4. 3y = 9x + 6. Slope? ______
  5. y = ¼x − 2. Zero? ______

Part C · Slope from a table (items 10–13)

  1. x: 0, 1, 2, 3 → y: 7, 10, 13, 16. Slope? ______
  2. x: 0, 4, 8, 12 → y: 50, 38, 26, 14. Slope? ______
  3. x: 0, 1, 2, 3 → y: 9, 9, 9, 9. Slope? ______
  4. Find the zero of the function in item 11. ______

Part D · Context, graphing and interpretation (items 14–20)

  1. A taxi charges ₱45 to start and ₱15 per kilometre. What is the slope, with its unit? ______
  2. Find the zero of the taxi function, and say whether it means anything. ______
  3. A tank holds 300 litres and drains at 30 litres per minute. What is the zero, and what does it mean? ______
  4. For y = 2x − 6, what is the y-intercept? ______
  5. For y = 2x − 6, what is the zero? ______
  6. What is the domain of a linear function with no restriction? ______
  7. Which line is steeper — one with slope 4, or one with slope −5? ______

Answer key — Summative Test 2

# Answer # Answer
1 2 11 −3 — not −12
2 −3 12 0
3 0 13 50/3 (≈ 16⅔)
4 Undefined 14 15 pesos per kilometre
5 5 15 −3; it means nothing — negative distance
6 −3; zero 3 16 10; the tank is empty after 10 minutes
7 −2 17 −6
8 3 — divide by 3 first 18 3
9 8 19 All real numbers
10 3 20 Slope −5 — steepness is the size, not the sign

Marking notes.

5. Term 1 Examination — Weeks 1–11

40 items · 60 minutes · end-of-term block

Part A · Geometric notation and constructions (items 1–4)

  1. How many endpoints has a ray? ______
  2. Two lines that meet at right angles are ______
  3. What is the correct symbol for "line segment AB"? ______
  4. To construct a line perpendicular to a given line through a point, which two tools are used? ______

Part B · Parallel lines and a transversal (items 5–10)

  1. Alternate exterior angles are ______
  2. Co-interior angles add to ______
  3. Parallel lines are cut by a transversal; one angle is 132°. Its alternate interior angle is ______
  4. In the same figure, the co-interior angle is ______
  5. Vertical angles are always ______
  6. Two angles of a transversal figure are 3x and 2x + 40, and they are corresponding. Find x. ______

Part C · Relations, functions, domain and range (items 11–16)

  1. Is {(0, 1), (1, 3), (2, 5)} a function? ______
  2. Is {(2, 1), (2, 4), (3, 5)} a function? ______
  3. Give the domain of {(0, 1), (1, 3), (2, 5)}. ______
  4. Give the range of {(0, 1), (1, 3), (2, 5)}. ______
  5. Express in symbols: "the cost y is ₱25 for each item x". ______
  6. For y = 3x − 4, find x when y = 8. ______

Part D · Slope as a rate of change, and zeros (items 17–25)

  1. Find the slope of the line through (0, 2) and (5, 12). ______
  2. Find the slope of the line through (0, 9) and (3, 0). ______
  3. y = 6x − 18. Find the slope and the zero. ______
  4. y = 10 − 2.5x. Find the slope and the zero. ______
  5. x: 0, 2, 4, 6 → y: 1, 7, 13, 19. Find the slope. ______
  6. x: 0, 5, 10, 15 → y: 90, 75, 60, 45. Find the slope and the zero. ______
  7. A generator holds 40 litres of fuel and burns 8 litres per hour. Write the equation, give the slope with its unit, and find the zero with its meaning. ______
  8. A courier charges ₱60 plus ₱25 per kilogram. Find the zero, and say whether it means anything. ______
  9. Two learners are asked for the slope of the same line. One says "3". The other says "3 pesos per hour". Which answer is better, and why? ______

Part E · Graphing and real-life linear functions (items 26–31)

  1. For y = 2x + 6, give the y-intercept. ______
  2. For y = 2x + 6, give the zero. ______
  3. Sketch y = −x + 4 and state where it crosses each axis. ______
  4. A phone plan costs ₱300 plus ₱5 per text. Write it as a function. ______
  5. Using item 29, find the cost of 40 texts. ______
  6. Using item 29, how many texts cost exactly ₱500? ______

Part F · Parallelism, quadrilaterals and parallelograms (items 32–40)

  1. Two lines have slopes 4 and 4. Are they parallel, perpendicular, or neither? ______
  2. Two lines have slopes 2 and −½. Are they parallel, perpendicular, or neither? ______
  3. A quadrilateral with exactly one pair of parallel sides is a ______
  4. A quadrilateral with four equal sides and four right angles is a ______
  5. A parallelogram has one angle of 65°. Find the angle next to it. ______
  6. In a parallelogram, opposite sides are ______
  7. In a parallelogram, the diagonals ______
  8. A parallelogram has a base of 12 cm and a perpendicular height of 7 cm. Find its area. ______
  9. Is every rectangle a parallelogram? Is every parallelogram a rectangle? Explain. ______

Answer key — Term 1 Examination

# Answer # Answer # Answer # Answer
1 1 11 Yes 21 3 31 40 texts
2 Perpendicular 12 No 22 −3; zero 30 32 Parallel
3 AB with a bar over it — accept "segment AB" 13 {0, 1, 2} 23 y = 40 − 8x; −8 litres per hour; zero 5 — empty after 5 hours 33 Perpendicular
4 A compass and a straight edge 14 {1, 3, 5} 24 −2.4; means nothing — negative mass 34 Trapezoid (trapezium)
5 Equal 15 y = 25x 25 The second. A slope is a rate; the unit says what it is a rate of. "3" alone could be anything 35 Square
6 180° 16 4 26 6 36 115°
7 132° 17 2 27 −3 37 Equal (and parallel)
8 48° 18 −3 28 Crosses at (0, 4) and (4, 0) 38 Bisect each other
9 Equal 19 6; zero 3 29 y = 5x + 300 39 84 sq cm
10 x = 40 20 −2.5; zero 4 30 ₱500 40 Yes, no. Every rectangle has both pairs of opposite sides parallel, so it is a parallelogram. A parallelogram need not have right angles

Marking notes — Term 1 Examination

Suggested mark allocation. One mark each for items 1–9, 11–14, 16–22, 26, 27, 29, 30, 31, 32–35, 37 and 38. Two marks each for items 10, 15, 23, 24, 28, 36, 39 and 40. Three marks for item 25. That is 31 one-mark items, 8 two-mark items and one three-mark item — 50 marks over 40 items; scale to whatever your school records.

6. Week 7 weekly check

10 items · 15 minutes · Day 5 · Written Works Covers only competency Q1 · 8 — slopes (as rate of change) and zeros, from graphs, equations and tables.

  1. Find the slope of the line through (0, 1) and (4, 9). ______
  2. Find the slope of the line through (0, 8) and (4, 0). ______
  3. y = 4x − 12. Slope? ______ Zero? ______
  4. y = 20 − 5x. Slope? ______ Zero? ______
  5. x: 0, 3, 6, 9 → y: 2, 8, 14, 20. Slope? ______
  6. x: 0, 2, 4, 6 → y: 30, 22, 14, 6. Slope? ______ Zero? ______
  7. A tank holds 180 litres and drains at 15 litres per minute. Slope with its unit? ______
  8. Using item 7, find the zero and say what it means. ______
  9. A tricycle charges ₱25 plus ₱10 per kilometre. Find the zero. Does it mean anything? ______
  10. In one sentence: what is the difference between the zero of a function and its y-intercept? ______

Answer key — Week 7 weekly check

# Answer Note
1 2
2 −2
3 4; zero 3
4 −5; zero 4
5 2 Δy = 6 over Δx = 3 — not 6
6 −4; zero 7.5 Δy = −8 over Δx = 2
7 −15 litres per minute The unit is the mark
8 12; the tank is empty after 12 minutes
9 −2.5; it means nothing — negative distance
10 Any wording carrying "the zero is where y = 0; the y-intercept is where x = 0"

Items 5, 6, 7 and 10 are the whole check. A learner who gets 1–4 and 8–9 right and misses those four has computed nine slopes without understanding that a slope is a rate or that Δx matters.

7. Performance task rubrics

All four use 4 criteria × 4 levels = 16 points. Convert with score ÷ 16 × 100.

7.1 What Does the Number Mean? — Term 1 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
The relationships Two real, local, with genuinely different units Two real, units similar One real, one invented Both invented
Four representations Table, equation and graph correct for both One representation missing Only equations Not attempted
Slopes with units Both stated with correct units One unit missing Numbers only Absent
Zeros with meanings Both interpreted, including saying when a zero has no meaning Both interpreted, meanings thin One interpreted Numbers only

7.2 Prove It Twice — Term 2 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Inductive evidence Five parallelograms measured, results tabulated Three or four measured Fewer than three Not measured
Deductive proof Two-column proof complete, every reason valid One reason missing or weak Statements without reasons Not attempted
The comparison Explains that measuring shows it happens, proof shows it must States that proof is stronger Vague Absent
Presentation Both clearly laid out and labelled Readable Hard to follow Incomplete

7.3 The Shape of a Throw — Term 3 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Data Three points measured from a real path against a grid Three points, roughly measured Two points Invented
The model Quadratic fitted, vertex and both zeros found Fitted, one feature missing Curve sketched only Absent
Interpretation Vertex and zeros each given a physical meaning Vertex interpreted Numbers only Absent
Limits of the model Says specifically what the parabola gets wrong Notes it is approximate Not addressed Absent

7.4 How Tall Is It? — Term 3 task

Criterion 4 — Exemplary 3 — Proficient 2 — Developing 1 — Beginning
Method Angle and distance both measured, method described, instrument named Measured, method unclear One measurement estimated Not measured
Computation Both heights computed correctly with the correct ratio One correct Wrong ratio used Not attempted
The two answers Compared, difference quantified Compared loosely Only one measurement taken Absent
Accounting for it Names real sources of error and their likely size Names a source Says "measurement error" Ignores it

7.5 Group activity rubrics

The two group activities in offline-activities.md carry their own 12-point rubrics. They are scored separately and also feed the Performance Tasks component.

8. What is deliberately not in this pack

Not here Why
Term 2 and Term 3 papers The repository teaches Term 1 Week 7 in full
The point-slope and two-point formulas Grade 8 competency 8, revisited in Grade 9 Week 8 — not in competency 8's scope for Week 7
Anything about parabolas Quarter 3
Item analysis or difficulty indices These need real learner data
A DepEd-format TOS No prescribed layout was obtainable
Anything below raw 70 on the transmutation table One reported anchor only; class-record.html refuses to interpolate below it

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