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MADANIA
● Elementary School ● Middle School ● Senior High School
Telaga Kahuripan, Parung, Bogor – 16330
 +62.251.602777  +62.251.604777
 www.madania.net  [email protected]
Semester Outline
Mathematics
Grade 5
Semester 1 2011 – 2012
I.
Semester Outline
1. Numbers
A. Whole Numbers and Integers
This semester, grade 5 students will
enhance
their
knowledge
and
understanding of the addition,
subtraction, multiplication, and
division of whole numbers up to
thousands and ten thousands.
They will estimate the result of a mathematical operation.
They will also be introduced to the characteristics of
mathematical
operations,
which
are
commutative,
associative, and distributive.
Integers can also be called as
positive and negative numbers.
Positive numbers are numbers
that are greater than zero.
Negative numbers are numbers
that are less than zero. Zero is
neither positive nor negative.
Students will use number lines
and counters to understand
integers.
B. Prime Factorization in Least Common Multiple
(LCM) and Greatest Common Factors (GCF)
Students will enhance their understanding about LCM and
GCF by using prime factorization. It means that students will
use prime numbers to determine the LCM and GCF of a
number.
C. Square and Square Roots
Square is our next focus. It is given
as the continuation of the previous
lesson, which is multiplication. Some
examples of the operations are as
follow: 12 = 1 x 1 = 1, 22 = 2 x 2 =
4, up to 102 = 10 x 10 = 100. To be
able to do the operations more
easily, students have to remember
the square of 1 to ten.
MADANIA
● Elementary School ● Middle School ● Senior High School
Telaga Kahuripan, Parung, Bogor – 16330
 +62.251.602777  +62.251.604777
 www.madania.net  [email protected]
Students will also learn to find the square root of numbers
less than 100. Of course, finding them will be easily done
when students have remembered the square of 1 to 10.
Finding the square root of numbers more than 100,
however, will be learned by using the regular division.
2. Fraction, Decimals, Percentage, and Ratio
A. Fraction, Decimals, and Percentage
Fraction is used for expressing
number parts of a whole. There are
four types of fractions that will be
learned: common fraction, mixed
fraction, decimal, percentage, and
ratio.
The material activities that will be learned in this scope are:
 Changing fraction forms
Students will learn to change:
a. common fraction
-- mixed fraction
b. common fraction
-- decimal
c. common fraction
-- percentage
d. decimal fraction
-- percentage
e. percentage
-- decimal

Comparing the value of fraction
Students will compare the value of:
a. common fraction >< common fraction
b. common fraction >< mixed fraction
and other types of fraction with their value

Operating Fractions
a. Adding Fraction
Students will learn how to add several types of
fraction such as common fraction + common fraction
with equal numerator and denominator, common
fraction + mixed fraction with different numerator and
denominator, mixed fraction + decimal, and decimal
+ percentage.
b. Subtracting Fraction
Students will learn to subtract several types of
fraction such as common fraction – common fraction
with different numerator and denominator, common
fraction – mixed fraction, common fraction – decimal,
and decimal – percentage.
c. Multiplying Fraction
Students will learn to multiply several types of
fraction such as common fraction x common fraction
with different numerator and denominator, common
MADANIA
● Elementary School ● Middle School ● Senior High School
Telaga Kahuripan, Parung, Bogor – 16330
 +62.251.602777  +62.251.604777
 www.madania.net  [email protected]
fraction x mixed fraction, common fraction x decimal,
and decimal x percentage
d. Dividing Fraction
Students will learn to divide several types of fraction
such as common fraction : common fraction with
different numerator and denominator, common
fraction : mixed fraction, common fraction : decimal,
decimal : percentage.
B. Ratio
A ratio is a comparison of one number to another. Students
will learn it through having cookery. They will also learn the
relationship between ratio and scale, which is the ratio of
any length on the drawing and its counterparts in a model.
Urthermore, it will be learned in second semester that is
related to geotopia project.
II.
Lesson Objectives
1. Numbers
Through this course, students will:
- compute with whole numbers and its
characters, round off, and estimate
- perform calculations of whole numbers using its
characteristics (commutative, associative, and
distributive), round numbers to the nearest
tens and hundreds and estimating
- use prime factorization to determine LCM and
GCF of 3 numbers of ones or tens
- apply mix operation (addition, subtraction,
multiplication, and division) of whole numbers
- calculate root and exponent
2. Fraction, Decimals, Percentage, and Ratio
Through this course, students will:
- understand how to convert fraction into decimal
and percentage
- be able to add and subtract fraction,
percentage, and decimal
- be able to multiply and divide fraction
- apply fraction on ratio and scale
III.
Weekly Plan
week
1-2
topics
Computing with whole
numbers
3
Calculation of whole numbers
using its characteristics
Syllabus/materials
 Adding, subtracting,
multiplying, and dividing
with whole numbers
 Rounding off
 Estimating
 Commutative
 Associative
 Distributive
MADANIA
● Elementary School ● Middle School ● Senior High School
Telaga Kahuripan, Parung, Bogor – 16330
 +62.251.602777  +62.251.604777
 www.madania.net  [email protected]
4
Integers
5
6-7
LCM and GCF
8
Organizing Data
9
10
12
Reinforcement
Mid Test
Root and Exponent
13
Fraction
Fraction operation
14
Decimal
Decimal operation
15
16
Formative 2
Percentage


Formative




Addition
Subtraction
1
Prime factorization
LCM
GCF
Reading tables, charts,
graphs, and diagrams
 Find the mode of a set of
data





Exponent
Root
Naming
Comparing
Ordering







Adding
Subtracting
Multiplying
Dividing
Naming
Comparing
Ordering







Adding
Subtracting
Multiplying
Dividing

17
Fraction – Decimal Percentage


18
Ratio and Scale
19
20
Formative 2
21


Percentage Concept
Convertion Percentage to
Decimal /Fraction
Convertion Decimal/Fraction
to Percentage
Comparing and Ordering
fraction – decimal percentage
Mixed Counting : Fraction –
Decimal - Percentage
Applying fraction on ratio
Scale
Reinforcement 1: Fraction, Decimal
Reinforcement 2: Whole numbers, Integers, GCF, LCM
Reinforcement 3: Fraction, Decimal, Percentage, Ratio and Scale
Final Test
MADANIA
● Elementary School ● Middle School ● Senior High School
Telaga Kahuripan, Parung, Bogor – 16330
 +62.251.602777  +62.251.604777
 www.madania.net  [email protected]
IV.
Course Expectation
 Students are expected to attend all classes and take responsibility
for learning the material/information presented during classes.
 Students are expected to be fully prepared with all necessary
materials to participate in individual, group, and whole class
activities and discussion.
 Students may receive a reduced grade for poor, incomplete, or late
assignments
 Students should have read the materials before they attend a
class.
 Before a lesson begins, students should have read the materials at
home (according to the student’s level)
V.
Class Materials
Overal topics require the following materials:
- resource books
- notebooks
- paper
- handouts
- worksheets
VI.
Grading Criteria
- Effort and Participation
- Project and Assignment
- Written Test
VII.
Resources
-
20%
50%
40%
Primary Math 5A and 5B, Ministry of Education,
Singapore
Scott Foresman and Addison Wesley, Math,
Teachers Edition Vol. 1 & 2
Matematika kelas 5, penerbit Erlangga
Mathematics, Addison-Wesley
Math to Know, A Mathematics Handbook, Mary
C. Cavanagh
Matematika SD Kelas 5, ESIS
VIII. Information
Please contact:
Ratna Linggar A (081585166304)
Siti Solichah (081399057248)