Mathematics · Key Stage 2

Week Planner — Grade 5 — Mathematics 5

All 33 weeks of the year, with the curriculum guide competency for each.

33weeks
49competencies
4Quarters
1Built in full

The week numbers are this repository’s proposal, not DepEd’s. A school’s approved Budget of Work replaces every one of them. The competency text and the quarter it belongs to are the guide’s own.

The performance task sits in each term’s end-of-term block rather than in a numbered week, so no week below is marked as one.

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Term 1 June – September

Quarter 1 — what this quarter is driving toward
Content standards
The learners should have knowledge and understanding of: 1. 12- and 24-hour time, and world time zones; 2. the GMDAS rules for operations with numbers; 3. multiplication of fractions; 4. area of a parallelogram, triangle, and trapezoid.
Performance standard
By the end of the quarter, the learners are able to: use 12- and 24-hour time (MG); compare the time in world time zones with the time in the Philippines (MG); use the GMDAS rules for 3 or more different operations (NA); multiply fractions (NA); determine the area of a parallelogram, triangle, and trapezoid (MG).
Performance task (suggested by this repository)
*The OFW Call Schedule* — a family needs to call relatives working in Riyadh, Hong Kong, and Milan. Using a world time zone map, build a one-page schedule showing a workable call time for each city in both 12- and 24-hour notation, and justify in writing why each slot avoids sleeping hours at both ends.
1Week

Describing the 12- and 24-hour clock systems

Quarter 1 Q1 · 1

Curriculum guide competency

  • 1. describe a 12- and 24-hour clock system

Competency placed; teaching materials not built

2Week

Converting 12-hour time to 24-hour time and back

Quarter 1 Q1 · 2

Curriculum guide competency

  • 2. convert 12-hour time to 24-hour time, and vice versa

Competency placed; teaching materials not built

3Week

Solving problems involving 12- and 24-hour time

Quarter 1 Q1 · 3

Curriculum guide competency

  • 3. solve problems involving 12- and 24-hour time

Competency placed; teaching materials not built

4Week

Comparing world time zones with Philippine time and solving time-zone problems

Quarter 1 Q1 · 4–5

Curriculum guide competencies

  • 4. compare the time in different world time zones to the time in the Philippines using a world time zone map
  • 5. solve problems on comparing the time in different world time zones to the time in the Philippines

Competency placed; teaching materials not built

5Week

The GMDAS rules with three or more operations

Quarter 1 Q1 · 6

Curriculum guide competency

  • 6. perform three or more different operations by applying the GMDAS rules

Competency placed; teaching materials not built

6Week

Multiplying fractions using models

Quarter 1 Q1 · 7

Curriculum guide competency

  • 7. multiply fractions using models

Competency placed; teaching materials not built

8Week

Multi-step problems involving multiplication of fractions

Quarter 1 Q1 · 9

Curriculum guide competency

  • 9. solve multi-step problems involving multiplication of fractions that may or may not also involve addition or subtraction of fractions

Competency placed; teaching materials not built

9Week

Height and area of a parallelogram, triangle and trapezoid and estimating areas on grids

Quarter 1 Q1 · 10–12

Curriculum guide competencies

  • 10. identify the height of a parallelogram, triangle, and trapezoid, in different orientations
  • 11. find the area of a parallelogram, triangle, and trapezoid, in sq. cm or sq. m, using formulas
  • 12. estimate the areas of triangles and quadrilaterals (parallelogram, rhombus, trapezoid) using grids

Competency placed; teaching materials not built

Quarter 2 — what this quarter is driving toward
Content standards
1. division of fractions; 2. decimal numbers with decimal parts up to ten thousandths; 3. addition and subtraction of decimal numbers; 4. divisibility rules; 5. prime and composite numbers.
Performance standard
Divide fractions (NA); compare, order, and round decimals to the nearest one thousandth (NA); add and subtract decimal numbers (NA); use divisibility rules (NA); distinguish prime numbers from composite numbers (NA).
Performance task (suggested by this repository)
*The Sari-Sari Receipt Audit* — collect or reconstruct ten real purchase amounts to two decimal places. Order them, round each to the nearest thousandth of a peso to expose why centavo rounding matters, total them, and check the total two ways. Write one paragraph on where a rounding error would hide.
10Week

Dividing fractions using models

Quarter 2 Q2 · 1

Curriculum guide competency

  • 1. divide fractions using models

Competency placed; teaching materials not built

11Week

Dividing a fraction by a fraction

Quarter 2 Q2 · 2

Curriculum guide competency

  • 2. divide a fraction by a fraction

Competency placed; teaching materials not built

Term 2 September – December

Quarter 2 — what this quarter is driving toward
Content standards
1. division of fractions; 2. decimal numbers with decimal parts up to ten thousandths; 3. addition and subtraction of decimal numbers; 4. divisibility rules; 5. prime and composite numbers.
Performance standard
Divide fractions (NA); compare, order, and round decimals to the nearest one thousandth (NA); add and subtract decimal numbers (NA); use divisibility rules (NA); distinguish prime numbers from composite numbers (NA).
Performance task (suggested by this repository)
*The Sari-Sari Receipt Audit* — collect or reconstruct ten real purchase amounts to two decimal places. Order them, round each to the nearest thousandth of a peso to expose why centavo rounding matters, total them, and check the total two ways. Write one paragraph on where a rounding error would hide.
12Week

Multi-step problems involving division of fractions

Quarter 2 Q2 · 3

Curriculum guide competency

  • 3. solve multi-step problems involving division of fractions that may or may not involve the other operations with fractions

Competency placed; teaching materials not built

13Week

Place value and value in decimals to thousandths

Quarter 2 Q2 · 4

Curriculum guide competency

  • 4. determine (a) the place value to thousandths of a digit in a given decimal number, (b) the value of a digit, and (c) the digit of a number, given its place value

Competency placed; teaching materials not built

14Week

Reading and writing decimals to thousandths and converting terminating decimals to fractions and back

Quarter 2 Q2 · 5–6

Curriculum guide competencies

  • 5. read and write decimal numbers with decimal parts to thousandths
  • 6. convert terminating decimals to fractions, and vice versa

Competency placed; teaching materials not built

15Week

Comparing and ordering decimals and rounding to the nearest thousandth

Quarter 2 Q2 · 7–8

Curriculum guide competencies

  • 7. compare and order decimal numbers with decimal parts to thousandths
  • 8. round decimal numbers to the nearest thousandths

Competency placed; teaching materials not built

16Week

Adding and subtracting decimals to three places and multi-step problems including money

Quarter 2 Q2 · 9–10

Curriculum guide competencies

  • 9. add and subtract decimal numbers with decimal parts of up to 3 decimal places
  • 10. solve multi-step problems involving addition and/or subtraction of decimals, including problems involving money

Competency placed; teaching materials not built

17Week

Divisibility rules for 2, 5, 10, 3, 6, 9, 4, 8, 11 and 12 and prime versus composite by the Sieve of Eratosthenes

Quarter 2 Q2 · 11–12

Curriculum guide competencies

  • 11. use divisibility rules to find common factors of numbers: (a) divisibility rules for 2, 5, and 10, (b) divisibility rules for 3, 6, and 9, and (c) divisibility rules for 4, 8, 11, and 12
  • 12. distinguish prime numbers from composite numbers using the Sieve of Eratosthenes

Competency placed; teaching materials not built

Quarter 3 — what this quarter is driving toward
Content standards
1. double bar graphs and double line graphs; 2. theoretical probability; 3. multiplication and division of decimal numbers.
Performance standard
Identify, construct, and interpret double bar graphs and double line graphs (DP); draw conclusions and make inferences from data represented in double bar graphs and double line graphs (DP); calculate theoretical probability (DP); multiply and divide decimal numbers (NA).
Performance task (suggested by this repository)
*Two Seasons, One Graph* — collect a paired data set with a genuine comparison in it (boys and girls enrolled per grade; rainfall in two barangays; attendance before and after a schedule change). Choose bar or line and defend the choice in writing, construct the double graph, then state two conclusions the graph supports and one a reader might wrongly draw from it.
18Week

Collecting bivariate data by interview and questionnaire

Quarter 3 Q3 · 1

Curriculum guide competency

  • 1. collect bivariate data from interview, questionnaire, and other appropriate sources

Competency placed; teaching materials not built

19Week

Choosing between a bar graph and a line graph

Quarter 3 Q3 · 2

Curriculum guide competency

  • 2. identify the appropriate graph (bar graph or line graph) to represent a given set of data

Competency placed; teaching materials not built

20Week

Constructing double bar graphs and double line graphs

Quarter 3 Q3 · 3

Curriculum guide competency

  • 3. construct double bar graphs and double line graphs

Competency placed; teaching materials not built

21Week

Interpreting double bar and double line graphs

Quarter 3 Q3 · 4

Curriculum guide competency

  • 4. interpret data presented in a double bar graph or a double line graph

Competency placed; teaching materials not built

22Week

Drawing conclusions and making inferences from double graphs

Quarter 3 Q3 · 5

Curriculum guide competency

  • 5. draw conclusions or make inferences based on data presented in a double bar graph or a double line graph

Competency placed; teaching materials not built

Term 3 January – April

Quarter 3 — what this quarter is driving toward
Content standards
1. double bar graphs and double line graphs; 2. theoretical probability; 3. multiplication and division of decimal numbers.
Performance standard
Identify, construct, and interpret double bar graphs and double line graphs (DP); draw conclusions and make inferences from data represented in double bar graphs and double line graphs (DP); calculate theoretical probability (DP); multiply and divide decimal numbers (NA).
Performance task (suggested by this repository)
*Two Seasons, One Graph* — collect a paired data set with a genuine comparison in it (boys and girls enrolled per grade; rainfall in two barangays; attendance before and after a schedule change). Choose bar or line and defend the choice in writing, construct the double graph, then state two conclusions the graph supports and one a reader might wrongly draw from it.
23Week

Solving problems from data presented in double graphs

Quarter 3 Q3 · 6

Curriculum guide competency

  • 6. solve problems using data presented in a double bar graph or a double line graph

Competency placed; teaching materials not built

24Week

Probability as a measure of chance and theoretical probability of a simple event

Quarter 3 Q3 · 7–8

Curriculum guide competencies

  • 7. describe probability as a measure of the chance of an event occurring
  • 8. calculate the theoretical probability of a simple event by listing all possible outcomes

Competency placed; teaching materials not built

25Week

Estimating products of decimals and multiplying decimals to two places

Quarter 3 Q3 · 9–10

Curriculum guide competencies

  • 9. estimate each of two decimal numbers to the nearest whole number to estimate their product
  • 10. multiply decimal numbers with decimal parts of up to 2 decimal places

Competency placed; teaching materials not built

26Week

Multi-step problems with decimal multiplication and estimating and performing decimal division

Quarter 3 Q3 · 11–13

Curriculum guide competencies

  • 11. solve multi-step problems involving multiplication of decimals that may or may not also involve addition or subtraction of decimals, including problems involving money
  • 12. estimate the quotient when dividing two decimal numbers by estimating the dividend and divisor to the nearest whole number
  • 13. divide (a) 1- to 2-digit whole numbers resulting in a terminating decimal quotient (e.g., 4 ÷ 5 = 0.8), and (b) a decimal of up to 2 decimal places by a 1- to 2-digit whole number, resulting in a terminating decimal quotient of up to 3 decimal places

Competency placed; teaching materials not built

Quarter 4 — what this quarter is driving toward
Content standards
1. GMDAS rules when performing three or more operations with fractions and decimals; 2. prisms and pyramids; 3. surface area of solid figures; 4. cubes and rectangular prisms; 5. resulting image after rotation.
Performance standard
Apply the GMDAS rules with operations with fractions and decimals (NA); illustrate and describe solid figures and their nets (MG); determine the surface area of solid figures (MG); distinguish between cubes and rectangular prisms, and estimate their volumes (MG); draw the image of an object after applying rotation about a point (MG).
Performance task (suggested by this repository)
*The Box That Wastes Least* — design a box to hold a fixed set of objects. Draw the net, build it from cardboard, compute its surface area, then design a second box holding the same objects with a smaller surface area and prove the saving numerically.
27Week

Multi-step problems with division of decimals and GMDAS with fractions and decimals

Quarter 4 Q4 · 1–2

Curriculum guide competencies

  • 1. solve multi-step problems involving division of decimals that may or may not also involve the other operations with decimals, including problems involving money
  • 2. perform three or more different operations with fractions and decimals by applying the GMDAS rules

Competency placed; teaching materials not built

28Week

Illustrating solid figures and relating plane figures to solid figures

Quarter 4 Q4 · 3–4

Curriculum guide competencies

  • 3. illustrate different solid figures using concrete and pictorial models
  • 4. relate plane figures to solid figures using concrete and pictorial models

Competency placed; teaching materials not built

29Week

Describing and differentiating prisms and pyramids by vertices, faces and edges

Quarter 4 Q4 · 5

Curriculum guide competency

  • 5. describe and differentiate prisms and pyramids using their vertices, faces, and/or edges

Competency placed; teaching materials not built

30Week

Solid figures and their nets and making models of solid figures

Quarter 4 Q4 · 6–7

Curriculum guide competencies

  • 6. illustrate and describe solid figures and their nets
  • 7. make models of solid figures

Competency placed; teaching materials not built

31Week

Illustrating and finding surface area and solving surface-area problems

Quarter 4 Q4 · 8–9

Curriculum guide competencies

  • 8. illustrate and find the surface area of solid figures
  • 9. solve problems involving the surface area of solid figures

Competency placed; teaching materials not built

32Week

Cubes and rectangular prisms and estimating volume with non-standard units

Quarter 4 Q4 · 10–11

Curriculum guide competencies

  • 10. describe and distinguish cubes and rectangular prisms
  • 11. estimate the volume of a cube and of a rectangular prism using non-standard units of measurement

Competency placed; teaching materials not built

33Week

Rotation about a point through a given angle, clockwise and counterclockwise

Quarter 4 Q4 · 12

Curriculum guide competency

  • 12. draw the image of an object after applying rotation about a point given an angle of rotation, clockwise or counterclockwise

Competency placed; teaching materials not built

No week matches that filter.