This document outlines the content standards, performance standards, learning competencies, and learning materials for a mathematics curriculum covering numbers and operations with fractions, decimals, percentages, ratios, proportions, exponents, integers, geometry, and patterns and algebra. Specifically, it lists 58 learning competencies that students should demonstrate understanding of, such as adding and subtracting fractions, solving word problems involving percentages, describing different solid geometric figures, and formulating rules for numeric sequences. Each competency is coded and linked to reference materials like lesson guides, modules, and other online resources to support teaching and learning of the concepts.

1. CONTENT CONTENT
STANDARDS
PERFORMANCE
STANDARD
LEARNING COMPETENCIES CODE LEARNING MATERIALS
The learner The learner The learner
Numbers
and
Number
Sense
Demons-
trates
Understan-
ding
of the four
fundamental
operations
involving
fractions
and
decimals.
isable to apply
the four
fundamental
operations
involving
fractionsand
decimalsin
mathematical
problemsand
real-life
situations.
1. addsand subtractssimple
fractionsand
mixednumberswithoutorwith
regrouping.
M6NS -Ia -86  Lesson Guide in Elem.
 Math Gr. 6 p. 203, 207, 212, 216, 219, 223
 DLP Gr. 6 Module 31, 32BEAM LG
 Gr. 6 Module 8A
 MISOSA Modules Gr.5 and 6 Subtraction of Mixed
Numbers
2. solve routine andnon-routine
problemsinvolvingadditionand/
or subtractionof fractionusing
appropriate problemsolvingor
tools.
M6NS-Ia-87.3  Lesson Guide in Elem. Math Gr. 6 p.232
 BEAM LG Gr. 6 Module 8B
 MISOSA Module Gr.6 Word Problems on
Subtraction of Fractions
3. createsproblems(with
reasonable answers) involving
additionand/orsubtractionof
fractions.
M6NS-Ia-88.3
4. multipliessimplefractionsand
mixed fractions.
M6NS-Ib-90.2  Lesson Guide in Elem. Math Gr. 5 p.203, 209, Gr.6 p.
237, 250
 DLP Gr. 5 Module 24, 26,
 Gr. 6 Module 35
 BEAM LG Gr.
 Module 9,Gr. 6
 MISOSA Module Gr.5 and 6 Multiplication of Mixed
Numbers and Fractions
5. solvesroutine ornon-routine
problems
involvingmultiplicationwithout
or withadditionorsubtractionof
fractionsandmixedfractions
usingappropriate problemsolving
strategiesandtools.
M6NS-Ib-92.2  Lesson Guide in Elem. Math Gr. 5 p.213, Gr. 6 p. 262
 DLP Gr. 5 Module 27, 28,
 Gr. 6 Module 36, 37
 BEAM LG Gr. 5 Module 9,
 Gr. 6 Module 9
 MISOSA Module Gr.6 Word Problems on
Multiplication of Fractions
Grade 6- FIRST QUARTER

2. 6. createsproblems(with
reasonable answers) involving
multiplication withoutorwith
additionorsubtraction
of fractionsandmixedfractions.
M6NS-Ib-93.2
7. dividessimplefractionsand
mixed fractions.
M6NS-Ic-96.2  Lesson Guide in Elem. Math Gr. 6 p.273,277
 BEAM LG Gr. 6
 Module 10
 MISOSA Module Gr.6 Division of Mixed Numbers
8. solvesroutine ornon-routine
problems involvingdivision
withoutorwithany of the other
operationsof fractionsand mixed
fractionsusingappropriate
problemsolvingstrategiesand
tools.
9. createsproblems(with
reasonable answers) involving
divisionwithoutor withanyof
the otheroperationsof fractions
and mixedfractions.
M6NS-Ic-98.2
10. addsand subtractsdecimals
and mixed decimalsthroughten
thousandthswithoutorwith
regrouping.
M6NS-Id-106.2  LessonGuide inElem.
 Math Gr. 6 p.54, 56, 60, 62
 DLP Gr. 6 Module 10, 11
 BEAM LG Gr. 6 Module on AdditionandSubtraction
of Decimals
 MISOSA ModulesGr.5 AdditionandSubtractionof
MixedDecimals
 MISOSA Module Gr.6 Subtractionof MixedDecimals
11. solves1or more stepsroutine
and non-routine problems
involvingaddition and/or
subtractionof decimalsand
mixeddecimalsusingappropriate
problemsolvingstrategiesand
tools.
M6NS-Id108.2 LessonGuide inElem.
 Math Gr. 6 p.68
 DLP Gr. 6 Module 12, 17
 BEAM LG Gr. 6 Module on AdditionandSubtraction
of Decimals
MISOSA Module Gr.5 Word problemsonAddition and
Subtractionof Decimals.

3. 12. createsproblems(with
reasonable answers) involving
additionand/or subtractionof
decimalsandmixed decimals.
M6NS-Id-109.2
13. multipliesdecimalsandmixed
decimals withfactorsupto 2
decimal places.
M6NS-Ie-111.3  LessonGuide inElem.Math Gr. 5 p. 289, Gr. 6 p.73,
76, 80, 83
DLP Gr. 5 Module 37, 38,
Gr. 6 Module 15
MISOSA Module Gr.5 and 6 Multiplicationof Mixed
Decimals;DecimalsthroughHundredths.
14. multipliesmentallydecimals
up to 2 decimalsplacesby0.1,
0.01,10, and 100.
M6NS-Ie-111.4  LessonGuide inElem.Math Gr. 5 p. 293, Gr. 6 p.86
 DLP Gr. 5 Module 40 BEAM LG Gr. 6 Module 4
 MISOSA ModulesGr.5 Multiplicationof Decimals
by 10 and 100, by 0.1, 0.01, and 0.001
15. solvesroutine andnon-
routine problemsinvolving
multiplicationof decimalsand
mixeddecimalsincluding money
usingappropriate problem
solvingstrategies.
M6NS-Ie-113.2  LessonGuide inElem. Math Gr. 5 p.301, Gr. 6 p.9
 DLP Gr. 6 Module 41
 BEAMLG Gr. 5 Module 12
16. solvesmulti-stepproblems
involving multiplicationand
additionor subtractionof
decimals,mixeddecimals and
whole numbersincludingmoney
usingappropriate problemsolving
strategiesandtools.
M6NS-If-113.3  LessonGuide inElem. Math Gr. 6 p.96
17. createsproblems(with
reasonable answers) involving
multiplicationwithoutorwith
additionorsubtraction of
decimals,mixeddecimalsand
whole numbersincludingmoney.
M6NS-If-114

4. 18. divideswhole numbers by
decimalsupto2 decimal places
and vice versa.
M6NS-Ig-116.3  LessonGuide inElem.Math Gr.5 p.310, Gr. 6 p.103,
105, 117
 DLP Gr. 6 Module 19
 BEAM LG Gr. 6
 Module 5 Divisionof Decimals
 MISOSA Module Gr.5 and 6 Divisionof Decimalsby
Whole Numbers
19. dividesdecimals/mixed
decimalsupto 2 decimal places.
M6NS-Ig-116.4  LessonGuide inElem. Math Gr. 6 p.121
 DLP Gr. 6 Module 20
 BEAM LG Gr. 6 Module 5-Divisionof Decimals
20. dividesdecimalsupto4
decimal places by0.1, 0.01, and
0.001
M6NS-Ih-116.5  LessonGuide inElem. Math Gr. 6 p.127
 BEAM LG Gr. 6 Module 5-
Divisionof Decimals
21. dividesdecimalsupto 2
decimal placesby10, 100, and 1
000 mentally
. M6NS-Ih-118 LessonGuide inElem.Math Gr. 6 p.125
BEAM LG Gr. 6 Module 5-Divisionof Decimals
22. differentiatesterminating
from repeating,non-terminating
decimal quotients.
M6NS-Ii-119  LessonGuide inElem.Math Gr. 6 p.111
 MISOSA Module Gr.6 RepeatingandTerminating
Decimals
23. solves routine andnon-
routine problemsinvolving
divisionof decimals, mixed
decimals,andwhole numbers
includingmoneyusing
appropriate problemsolving
strategiesandtools.
M6NS-Ii-120.2
24. solvesmulti-steproutineand
non- routine problemsinvolving
divisionandanyof the other
operationsof decimals,mixed
decimals,andwhole numbers
includingmoneyusing
appropriate problemsolving
strategies andtools.
M6NS-Ij-120.3  LessonGuide inElem.
Math Gr. 6 p.133
25. createsproblems(with
reasonable answers) involving
divisionwithoutor withanyof
the otheroperationsof decimals,
mixeddecimalsandwhole
numbersincludingmoney.
M6NS-Ij-121.2

5. CONTENT CONTENT
STANDARD
PERFORMANCE
STANDARD
LEARNING COMPETENCIES CODE LEARNING MATERIALS
Demons-
trates
understandi
ng of order
of
operations,
ratioand
proportion,
percent,
exponents,
and
integers.
isable to apply
knowledge of
orderof
operations,
ratio and
proportion,
percent,
exponents,and
integersin
mathematical
problemsand
real-life
situations.
26. expressesone value asa
fractionof anothergiventheir
ratioand vice versa.
M6NS-IIa-129
27. findshowmanytimesone
value isas large as anothergiven
theirratioand vice versa.
M6NS-IIa-130
28. definesandillustratesthe
meaningof ratioand proportion
usingconcrete or pictorial models.
M6NS-IIb-131
29. setsup proportionsforgroups
of objectsornumbersand for
givensituations.
M6NS-IIb-132
30. findsa missingtermina
proportion(direct,inverse,and
partitive).
M6NS-IIb-133  LessonGuide inElem.MathGr. 6 p.301,304, 307
 BEAM LG Gr. 6 Module 11
 MISOSA Module Gr.6 Word ProblemsonDirect,
Partitive andInverse Proportion
31. solvesproblemsinvolving
directproportion,partitive
proportion,andinverse
proportionindifferentcontexts
such as distance,rate,andtime
using appropriate strategiesand
tools.
M6NS-IIc-134
32. createsproblemsinvolving
ratioand proportion,with
reasonable answers.
M6NS-IIc-135
Grade 6- SECOND QUARTER

6. 33. findsthe percentage orrate or
percent ina givenproblem.
M6NS-IId-142  LessonGuide inElem.Math Gr. 6 p.316, 320, 323
 DLP Gr. 6 Module 47, 48, 49
 MISOSA Module Gr.6 Findingthe Percentage,Rate
and Base
34. solvesroutine andnon-routine
problemsinvolvingfindingthe
percentage,rate andbase using
appropriate strategiesandtools.
M6NS-IId-143  MISOSA Module Gr.6 Word ProblemsonPercentage
 MISOSA Module Gr.6 Word ProblemsonPercentage
35. solvespercentproblemssuch
as percentof increase/decrease
(discounts,original price,rate of
discount,sale price,marked-up
price),commission,salestax,and
simple interest.
M6NS-IIe-144  LessonGuide inElem.Math Gr. 6 p.332, 336, 340,
344
 DLP Gr. 6 Module 50, 51, 52
 BEAM LG Gr. 6 Module 17
36. createsproblemsinvolving
percent,withreasonableanswers.
M6NS-IIe-145
37. describesthe exponentand
the base in a numberexpressedin
exponential
notation.
M6NS-IIf-146  LessonGuide inElem.Math Gr. 6 p.6
 DLP Gr. 6 Module 1
 MISOSA Module Gr.6 Exponents
38. givesthe value of numbers
expressedinexponential notation.
M6NS-IIf-147  LessonGuide inElem.Math Gr. 6 p.9
 DLP Gr.4 Module 32
 MISOSA Module Gr.6 Expressionsinvolving
Exponents
39. interpretsandexplainsthe
Grouping, Exponent,
Multiplication, Division,
Addition,Subtraction(GEMDAS)
rule.
M6NS-IIf-148  DLP Gr. 6 Module 2
40. performstwoor more
different operationsonwhole
numberswithor without
exponentsandgrouping symbols.
M6NS-IIf-149  LessonGuide inElem.Math Gr. 6 p.13, 17, 21, 25, 28
 BEAM LG Gr. 6 Module 1 Orderof Operations
 MISOSA ModulesGr.6
 EvaluatingExpressions
41. identifiesreal-life situations
that make use of integers.
M6NS-IIg-150
42. describesthe setof integers. M6NS-IIg-151
43. comparesintegerswithother
numbers suchas whole numbers,
fractions,and decimals.
M6NS-IIg-152

7. 44. representsintegersonthe
numberline.
M6NS-IIh-153  LessonGuide inElem. Math Gr. 6 p.353
45. comparesand arranges
integers.
M6NS-IIh-154  LessonGuide inElem. Math Gr. 6 p.356, 358
 DLP Gr. 6 Module 68, 69
 BEAM LG Gr. 6 Module 18 ExpressionandInteger
46. describesandinterpretsthe
basic operationsonintegersusing
materials suchas algebratiles,
counters,chips, andcards.
M6NS-IIh-155
47. performsthe basicoperations
on integers.
M6NS-IIi-156
48. solvesroutine andnon-routine
problemsinvolvingbasic
operationsof integersusing
appropriate strategies
and tools.
M6NS-IIj-157
CONTENT CONTENT
STANDARD
PERFORMANCE
STANDARD
LEARNING COMPETENCIES CODE LEARNING MATERIALS
Geometry demonstrat
es
understandi
ng of solid
figures.
isable to
construct and
describe the
differentsolid
figures:cube,
prism, pyramid,
cylinder,cone,
and sphere
49. visualizesanddescribesthe
different solidfigures:cube,
prism,pyramid, cylinder,cone,
and sphere.
M6GE-IIIa-27  LessonGuide inElem. Math Gr. 6 p.360, 363
50. differentiatessolidfigures
fromplane figures.
M6GE-IIIa-28
51. illustratesthe differentsolid
figures usingvariousconcrete and
pictorial models.
M6GE-IIIb-29
52. identifiesthe facesof a solid
figure.
M6GE-IIIb-30  DLP Gr. 6 Module 54
53. visualizesanddescribesthe
different solidfigures:cube,
prism,pyramid, cylinder,cone,
and sphere.
M6GE-IIIc-31  BEAM LG Gr. 6 Module 15
Grade 6- THIRD QUARTER

8. 54. identifiesthe netsof the
following space figures:cube,
prism,pyramid, cylinder,cone,
and sphere usingplane figures.
M6GE-IIIc-32
Patterns
and
Algebra
demonstrat
es
understandi
ng of
sequence
informing
rules,
expressions
and
equations.
isable to apply
knowledge of
sequence,
expressions,
and equations
in
mathematical
problemsand
real-life
situations
55. formulatesthe rule infinding
the nth termusingdifferent
strategies (lookingforapattern,
guessingand checking,working
backwards) e.g.(the nth termis
3n+1)
M6AL-IIId-7
56. differentiatesexpressionfrom
equation.
M6AL-IIId-15  LessonGuide inElem.Math Gr. 6 p.1, 3
 BEAM LG Gr. 6 Module 18 ExpressionandIntegers
57. givesthe translationof real-
life verbal expressionsand
equationsintoletters orsymbols
and vice versa.
M6AL-IIIe-16
58. definesavariable inan
algebraic expressionand
equation.
M6AL-IIIe-17
59. representsquantitiesinreal-
life situationsusingalgebraic
expressions andequations.
M6AL-IIIe-18
60. solvesroutine andnon-routine
problemsinvolvingdifferenttypes
of numerical expressionsand
equations suchas 7+ 9 =___ + 6.
M6AL-IIIf-19  DLP Gr. 6 Module 70, 71
61. createsroutine andnon-
routine problemsinvolving
numerical expressionsand
equations.
M6AL-III 

9. Measure
-ment
Demons-
trates
understandi
ng of rate
and speed,
and of area
and surface
area of
plane and
solid/space
figures.
isable to apply
knowledge
of speed,area,
and surface
area of plane
and
solid/space
figuresin
mathematical
problemsand
real-life
situations
62. calculatesspeed,distance,and
time.
M6ME-IIIg-17
63. solvesproblemsinvolving
average rate andspeed.
M6ME-IIIg-18
64. findsthe areaof composite
figures formedbyanytwoor
more of the following:triangle,
square,rectangle, circle,and
semi-circle.
M6ME-IIIh-89
65. solvesroutine andnon-routine
problemsinvolvingareaof
composite figuresformedby any
twoor more of the following:
triangle,square, rectangle,circle,
and semi-circle.
M6ME-IIIh-90
66. visualizesanddescribes
surface area and namesthe unit
of measure used formeasuring
the surface area of solid/space
figures.
M6ME-IIIi-91  LessonGuide inElem.
Math Gr. 6 p.371
67. derivesaformulaforfinding
the surface areaof cubes,prisms,
pyramids,cylinders,cones,and
spheres.
M6ME-IIIi-92  LessonGuide inElem.Math Gr. 6 p.369, 381
 DLP Gr. 6 Module 55
 BEAM LG Gr. 6 Module 16 Surface Area
68. findsthe surface areaof
cubes, prisms,pyramids,
cylinders,cones, andspheres.
M6ME-IIIi-93  BEAM LG Gr. 6 Module 16 Surface Area
 MISOSA Module Gr.6 Surface Areaon Cube,
RectangularPrism,
 PyramidandCylinder
69. solveswordproblems
Iinvolving measurementof
surface area.
M6ME-IIIj-94  DLP Gr. 6 Module 56
BEAMLG Gr. 6 Module 17 Surface Area

10. CONTENT CONTENT
STANDARD
PERFORMANC
E STANDARD

Measure
-ment
demonstrat
es
understandi
ng of
volume
of solid
figuresand
meter
reading.
isable to apply
knowledge
of volume of
solidfigures
and meter
readingin
mathematical
problemsand
real-life
situations.
70. determinesthe relationshipof
the volume between
70.1 a rectangularprismanda
pyramid;
70.2 a cylinderanda cone;
70.3 anda cylinderandsphere. M6ME-IVa-95
71. derivesthe formulaforfinding
the volume of cylinders,pyramids,
cones, and spheres.
M6ME-IVa-96 DLP Gr. 6 Module 58
BEAM LG Gr. 6 Module 18
Volume
72. findsthe volume of cylinders,
pyramids,cones,andspheres.
M6ME-IVb-97 LessonGuide inElem. Math Gr. 6 p.394, 398
BEAM LG Gr. 6 Module 18 Volume
MISOSA Module Gr.6 Volume of Rectangular Prism,
PyramidandCylinder
73. solvesroutine andnon-routine
problemsinvolvingvolumesof
solids.
M6ME-IVc-98  LessonGuide inElem.Math Gr. 6 p.402
 DLP Gr. 6 Module 59
 BEAM LG Gr. 6 Module 19 Volume
74. createsproblemsinvolving
surface area and volume of
solid/space figures,with
reasonable answers.
M6ME-IVc-99
75. readsand interpretselectric
and watermeterreadings.
M6ME-IVd-100  LessonGuide inElem.Math Gr. 6 p.406, 409
 DLP Gr. 6 Module 60, 61
 BEAM LG Gr. 6 Module 20
Meter Reading
Grade 6- FOURTH QUARTER

11. 76. solvesroutine andnon-routine
problemsinvolvingelectricand
water consumption.
M6ME-IVd-101  LessonGuide inElem.Math Gr. 6 p.412, 415
 DLP Gr. 6 Module 62
 BEAM LG Gr. 6 Module 20 Meter Reading
77. createsproblemsinvolving
electric andwaterconsumption,
with reasonable answers.
M6ME-IVd-102
78. collectsdataon one or two
variables usinganysource.
M6SP-IVe-1.6
79. constructsa pie graphbased
on a givensetof data.
M6SP-IVe-2.6  LessonGuide inElem.Math Gr. 6 p.426
 DLP Gr. 6 Module 65
 BEAM LG Gr. 6 Module 21 Circle Graphs
 MISOSA Module Gr.6 ConstructingCircle Graph
80. interpretsdatapresentedina
pie graph.
M6SP-IVf-3.6  LessonGuide inElem.Math Gr. 6 p.422
 DLP Gr. 6 Module 64
BEAMLG Gr. 6 Module 21
Circle Graphs
 MISOSA Module Gr.6 InterpretingCircle Graph
81. solvesroutine andnon-routine
problemsusingdatapresentedin
a pie graph.
M6SP-IVf-4.6
82. createsproblemsthatcan be
answeredusinginformation
presented inapie graph.
M6SP-IVg-6
83. describesthe meaningof
probability suchas50% chance of
rain andone ina millionchance
of winning.
M6SP-IVg-19
84. quantifiesthe phrases"most
likelytohappenand"unlikelyto
happen."
M6SP-IVh-20  LessonGuide inElem.Math Gr. 6 p.349
 BEAM LG Gr. 6 Module 17 PredictionandOutcome
85. performsexperimentsand
records outcomes.
M6SP-IVh-21
86. makeslistingsanddiagramsof
outcomesandtellsthe numberof
favorable outcomesandchances
usingthese listingsanddiagrams.
M6SP-IVi-22  BEAM LG Gr. 6 Module 17
PredictionandOutcome
87. makessimple predictionsof
events basedonthe resultsof
experiments.
M6SP-IVi-23  LessonGuide inElem.Math Gr. 6 p.347
 DLP Gr. 6 Module 67
 BEAM LG Gr. 6 Module 17 PredictionandOutcome

12. 88. solvesroutine andnon-routine
problemsinvolvingexperimental
and theoretical probability.
M6SP-IVj-24
89. createsproblemsinvolving
experimental andtheoretical
probability.
M6SP-IVj-25
90. findsthe volume of agiven
cube and rectangularprismusing
cu. cm and cu.m.
M5ME-IVd-81
91. estimatesanduses
appropriate unitsof measure for
volume.
M5ME-IVd-82  DLP Gr. 5 Module 55
 BEAM LG Gr. 5 Module 18 Volume LessonGuide in
Elem. Math Gr. 5 p.399
92. solvesroutine andnon-
routine problemsinvolving
volume of a cube and rectangular
prisminreal-life situationsusing
appropriate strategies andtools.
M5ME-IVe-83
93. createsproblems(with
reasonable answers) involving
volume of a cube and rectangular
prisminreal-life situations.
M5ME-IVe-84  DLP Gr. 5 Module 56
 BEAM LG Gr. 5 Module 19 Temperature
 LessonGuide inElem. Math Gr.5 p.305
94. Temperature readsand
measurestemperatureusing
thermometer(alcohol and/or
digital) in degree Celsius.
M5ME-IVf-85
95. estimatesthe
temperature(e.g.inside
the classroom).
M5ME-IVf-86  DLP Gr. 5 Module 57
 BEAM LG Gr. 5 Module 19
Temperature
LessonGuide inElem.
Math Gr. 5 p.409
 MISOSA Gr. 5 Module
96. solvesroutine andnon-
routine problemsinvolving
temperature inreal- life
situations.
M5ME-IVf-87
97. createsproblemsinvolving
temperature,withreasonable
answers.
M5ME-IVg-88

13. Statistics
and
Probabilit
y
Demons-
trates
understandi
ng of line
graphs and
experi-
mental
probability.
isable to
create and
interpret
represen-
tationsof
data (tables
and line
graphs) and
apply
experimental
probabilityin
mathematical
problemsand
real-life
situations.
98. collectsdataon one to two
variables usinganysource.
M5SP-IVg-1.5  BEAM LG Gr. 5 Module 20 Line Graph
 LessonGuide inElem. Math Gr. 5 p.417
 MISOSA Gr. 5 Module
Line Graph
99. organizesdatain tabularform
and presentsthemina line graph.
M5SP-IVg-2.5  DLP Gr. 5 Module 58, 59
 BEAM LG Gr. 5 Module 20
Line Graph
LessonGuide inElem. Math Gr. 5 p.412
100. interpretsdatapresentedin
different kindsof line graphs
(single todouble-line graph).
M5SP-IVh-3.5
101. solvesroutine andnon-
routine problemsusingdata
presentedinaline graph.
M5SP-IVh-4.5
102. draws inferencesbasedon
data presentedinaline graph.
M5SP-IVh-5.5
103. describesexperimental
probability.
M5SP-IVi-14
104. performsan experimental
probability and recordsresultby
listing.
M5SP-IVi-15
105. analyzesdataobtainedfrom
chance usingexperiments
involvingletter cards(A to Z) and
numbercards (0 to 20).
M5SP-IVi-16

14. 106. solvesroutine andnon-
routine problemsinvolving
experimental probability.
M5SP-IVj-17
107. createsroutine andnon-
routine problemsinvolving
experimental probability.
M5SP-IVj-18