New Budget of Work in Mathematics for Grade Five
Expectation: At the end of Grade V, the child is expected to
have mastered the concepts and operations of whole numbers;
demonstrate understanding of concepts and perform skills on
fractions, decimals including money, ratio, percent, geometry,
measurement and graphs; exact and estimated computation of the four
fundamental operations on rational numbers including money and
measurement and apply the concepts learned in solving problems.
I. WHOLE NUMBERS
A. Comprehension of Whole Numbers
REVIEW1. Properties of Whole NumbersAdditionMultiplication2.
Operations of Whole Numbers through Problem
Solving:AdditionSubtractionMultiplicationDivision
3. Subset of Whole Numbers3.1 Differentiate prime and composite
numbers3.2 Give the common factors of given numbers3.3 Find prime
factors of a number
II. RATIONAL NUMBERSStandard:The learner shows understanding of
fraction through renaming, ordering dissimilar fractions as well as
estimating.
A. Comprehension of Fraction1. Change dissimilar fractions to
similar fractions 1.1 Visualize changing dissimilar fractions to
similar fractions2. Identify equal fractions using the cross
product method3. Change fractions to lowest/higher term (LCM/GCF)4.
Order dissimilar fractions written in different forms from least to
greatest and vice versa5. Estimate fractions close to 0,, or
1A.Comprehension of Addition of FractionsStandard:The learner
performs addition, subtraction and multiplication of fractions and
makes use of this knowledge to solve everyday problems.
1. Add similar and dissimilar fractions in mixed forms without
and with regrouping1.1 Add two to four similar fractions1.2
Visualize addition of dissimilar fractions (using concrete and
visual/pictorial models)1.3 Add dissimilar fractions1.4 Add
dissimilar fractions and whole numbers1.5 Add whole numbers and
mixed forms1.6 Add mixed forms and dissimilar fraction1.7 Add mixed
forms1.8 Estimate sum1.9 Add mentally two fractional units with
similar denominators2. Application of Addition of Fractions2.1
Solve word problems involving addition of similar and dissimilar
fractions without or with regrouping following the steps in problem
solvingC. Comprehension of Subtraction of Fractions
1. Subtract fractions and mixed forms with common denominators
without and with regrouping1.1 Visualize subtraction of fraction
and mixed form (using concrete and visual/pictorial models)1.2
Subtract whole numbers from mixed forms without and with
regrouping1.3 Subtract fractions from whole numbers1.4 Subtract
fractions from mixed numbers without and with regrouping1.5
Subtract mixed numbers from whole numbers1.6 Subtract mixed numbers
from mixed numbers (with similar fractions)2. Subtract dissimilar
fractions without and with regrouping2.1 Visualize subtraction of
dissimilar fractions2.2 Subtract fractions from mixed numbers
without and with regrouping2.3 Subtract mixed numbers from mixed
numbers without and with regrouping3. Subtract mentally similar
fractions4. Application of Subtraction of Fractions4.1 Solve word
problems involving subtraction of fractions following the steps in
problem solving4.2 Solve two-step word problems involving addition
and subtraction of fraction following the steps in solving 2-step
problemsD. Comprehension of Multiplication of Fractions1. Multiply
fractions by whole number, mixed form by a fraction1.1 fraction by
a whole number1.2 mixed form by a fraction1.3 mixed form by a mixed
form2. Multiply mentally fractional units3. Application of
multiplication of fractions3.1 Solve word problems involving
multiplication of fractions following the steps in problem
solving3.2 Solve two-step word problems involving multiplication
and any of addition and subtraction following the steps in solving
two-step problemsE. Comprehension of Ratio
Standard:The learner understands the concept of ratio and
applies knowledge in reducing/expressing to lower/higher terms and
appreciates its application to daily life.1. Express the ratio of
two quantities1.1 Visualize the ratio of two given sets of
objects1.2 Express the ratio of two numbers by using either colon
(:) or a fraction2. Reduce ratios to lowest terms.3. Identify
equivalent ratios4. Application of Ratios4.1 Solve word problems
involving ratio following the steps in solving problems
F. Comprehension of Decimals
Standard: The learner understands the concept of renaming,
rounding and giving the place value of decimals.
1. Read and write decimals through thousandths1.1 Rename
fractions whose denominators are powers of 10 in decimal form and
vice versa1.2 Give the place value of each digit of a given
decimal2. Round decimals to the nearest tenths and hundredths
G.Comprehension of Addition and Subtraction of Decimals
Standard: The learner understands and appreciates the basic
operations on decimals and its application to real-world and
mathematical situations.
1. Add and subtract decimals through thousandths without and
with regrouping2. Add and subtract mixed decimals without and with
regrouping3. Add and subtract mixed decimals from whole numbers
without and with regrouping4. Application of addition and
subtraction of decimals4.1 Solve word problems involving either
addition or subtraction of decimals including money following the
steps in problem solving4.2 Solve two-step word problems involving
addition and subtraction of decimals money following the steps in
solving two-step problemsH. Comprehension of Multiplication of
Decimals1. Multiply decimals1.1 Visualize multiplication of
decimals using models1.2 Multiply tenths by another tenth1.3
Multiply hundredths by tenths and vice versa2. Multiply mixed
decimals with tenths and hundredths by whole numbers3. Multiply
mixed decimals by mixed decimals with tenths and hundredths4.
Multiply decimals by 10 and 1005. Multiply decimals mentally by
0.1, and 0.016. Application of Multiplication of Decimals6.1 Solve
word problems involving multiplication of decimals including money
following the steps in solving problemsI. Comprehension of Division
of Decimals1. Divides decimals through hundredths1.1 Visualize
division of decimals using models1.2 Divide decimals by decimals
through hundredths1.3 Divide decimals by whole numbers2.
Application of Division of Decimals2.1 Solve word problems
involving division of decimals following the steps in problem
solvingJ.Comprehension of Percent
Standard: The learner extends his understanding of percent (%)
to fractions, ratios and decimals to show relationship to one
another.
1. Relate fractions, ratios, decimals and percent1.1 Visualize
the meaning of percent (%)1.2 Give the relationshipbetween
fractions, ratios and percents (with visual models)between percent
and decimal (with visual models)among fractions, ratios, decimals
and percentsIII. Geometry
Standard: The learner understands the attributes of circle and 5
or more sided polygons and recognizes and appreciates similar
things around him.A. Comprehension of Polygons1.Describe five or
more sided polygons1.1 Identify five or more sided polygons1.2
Illustrate five or more sided polygons2.Describe similar and
congruent polygons2.1 Visualize congruent polygons2.2 Identify
congruent polygons2.3 Illustrate congruent polygons2.4 Visualize
similar polygons2.5 Identify similar polygons2.6 Illustrate similar
polygons3.Describe a circle3.1 Visualize circle3.2 Identify the
parts of a circle (radius and diameter)3.3 Illustrate circles with
different radii
IV. Measurement
Standard:The learner extends his/her understanding on concept of
circumference, area, volume and temperature measure and enjoys
making and using measurement in everyday life.
A. Comprehension of Circumference of a Circle1. Find the
circumference of a circle in centimeter/ meter1.1 Visualize the
circumference of a circle1.2 Derive a formula for finding the
distance around a circle1.3 Find the circumference of the given
circle2. Application of Circumference2.1 Solve word problems
involving circumference measure following the steps in problem
solvingB. Comprehension of Area1. Find the area of trapezoid and
circle in square metres/centimetres1.1 Visualize the area of
trapezoid and circle1.2 Derive a formula for finding the area of
trapezoid and circle1.3 Find the area2. Application of Measurement
of Area2.1 Solve word problems involving area of trapezoid and
circle following the steps in problem solving
C. Comprehension of Volume1. Find the volume of cube/
rectangular prism1.1 Name the unit of measure used for measuring
the volume of cube/ rectangular prism1.2 Convert one cubic unit of
measure to a larger or smaller unit1.3 Derive a formula for finding
the volume of cube/rectangular prism2. Application of Measurement
of Volume2.1 Solve word problem involving measurement of volume
following the steps in problem solvingD. Comprehension of
Temperature Measure1. Give body/weather temperature using degree
Celsius1.1 Identify the parts of a thermometer1.2 Read a
thermometer2. Application of Temperature Measure2.1 Solve word
problem involving body/weather temperature following the steps in
problem solvingV. GraphsStandard:The learner shows appreciation of
line graph through reading, interpreting, constructing and finding
average of data.A. Comprehension of Line Graph1. Read/Interpret
data presented in a line graph2. Construct a line graph 2.1
Organize data in a line graph3. Find the average of data presented
in a line graph
