Transcript File

• Can you tell how many
handshakes were shown?
Before the singing competition
begins, the 6 contestants
shook hands with each other
for good luck. How many
handshakes in all had taken
place?
•
Bea needed extra money for her tuition fee,
she sold her watch to a friend for P800.
• After a month, she bought it back for
P1000. After a month she sold it again for
P1, 200.
• Since it has a sentimental value, Bea
bought it again from her friend who was
very understanding. She bought it for P1,
400.
• Did Bea gain or did she lose? By how
much?
Using different combinations
• If you are asked to choose, one solid
food and a drink. What would it be.
What are the possible combinations
can you come up with?
Solid food: Pancit, bibingka, Goto,
Turon
Drinks: pineapple juice, buko juice,
sago-gulaman, mango juice
Irene is ordering matching shirts for the
debate team. They can get
polo shirts, sweatshirts, T -shirts,
or jacket.
Each type of shirt comes in
purple or blue.
Given these choices, how many different combinations
of shirt and color does Irene have to choose from?
A is twice of B
A=
B=
B half of A
A=
B=
A=
B=
A is thrice of B
B is one third of B
5
A is 5 more than B
B is 5 less than A
Using the BLOCK method
Mr. Santos is 34 years older than his
son Tony. Their total ages is 54
years. How old will Tony be in 25
years time?
Rosa is three times as old as Pat,
Maria is 8 years older than Pat. The
sum of their ages is 78 years. How
old is each?
The price of a pair of pants is
twice the price of a shirt. If the
total costs of the items is P900.
How much is the price of each.
John’s age is half the age of Paul.
George is 5 years older than Paul. Their
total ages is 130.
Find the age of each.
Friends Aida,
bands.
Lorna and Fe make loom
Aida made 20 loom bands.
Lorna made 8 less than Aida’s loom bands
Fe has thrice Aida’s loom bands.
a.) How many loom bands did Lorna
and Fe make?
b.) What is the total number of loom
bands the three girls made?
Anthony buys 2 hamburgers and 3 cans
of juice for P121.
Each can of juice costs three times as
much as one hamburger.
How much more does each can of juice
cost than each hamburger?
A baseball team scored an equal number of
field goals ( 3 points) and touch downs (6
points)
Complete the puzzle below to find their
score
(3 X ___ ) + ( 6 x ___) = ___ + 30 = 45
My uncle owns chickens and cows in his
farm. When I visited his farm, I saw some
cows and chickens. I counted 12 heads
and a total of 38 legs. How many
chickens and cows did I see?
12 x 2 = 24 legs
38 - 24 = 14
14 ÷ 2 = 7 cows
12 – 7 = 5 chickens
There are 14 vehicles (cars and motorcycles) in the
parking lot. I counted 40 tires in all. How many cars
and motor cycles?
14 x 2 = 28 tires ------>1.) # of vehicles x 2
40 - 28 = 12
12 ÷ 2 = 6
cars
----->2.) # of tires – (answer in 1)
------->3.) (answer in 2) ÷ 2
--------->4.) total # of vehicles – # cars
motorcycles
14 - 6 = 8
PATTERNS
Routines provide order and
efficiency in carrying our tasks
Routines are patterns in real-life
ROUTINES
Patterns can help us find the
solutions to a problem
What pattern do you see on the list of
mathematical expressions
3 x 4 = 12
300 x 400 = 120 000
3 x 40 = 120
300 x 4 000 = 1 200 000
30 X 4 = 120
3 000 x 400 = 1 200 000
30 x 400 = 12 000 3 000 x 4 000 = 12 000 000
12 ÷ 3 = 4
120 ÷ 3 = 40
120 ÷ 30 = 4
1200 ÷ 300 = 4
12 000 ÷ 30 = 400
12 000 ÷ 300 = 40
12 000 ÷ 3000 = 40
120 000 ÷ 30 000 = 4
120 000 ÷ 3 000 = 40
120 000 ÷ 3 00 = 400
How do we round –off numbers?
64 754 - 64 800
64 754 - 65 000
64 754 - 60 000
Estimation
170 754 3 692 754 62 579 754 98 579 754 -
200 000
4 000 000
60 000 000
100 000 000
The Reyes sisters are saving a part of their
money daily allowance to get a gift for their
mother on her birthday. The table shows
the amount saved by each sister every day. If
they save in this manner for five days a week
for four weeks, how much money will they
save in all in four weeks?
Daily savings
Php 25
PhP 40
PhP 55
Php 70
A scientist observes how each bacteria grows.
What would be the size after 7 minutes?
Bacteria A
Minute
1
2
3
Size in
mm
1
4
9 16
4
5
6
7
25
Bacteria B
Minute
1
2
3
Size in
mm
1
4
9 16
4
5
25
6
7
1 + 2 + 3 ..... 98 + 99 + 100
101
101
101
There are 50 sets of 101
101 x 50
(100 x 50) + (1 x 50)
5 000 + 50
5 050
1 + 2 + 3 ..... 8 + 9 + 10
11
11
11
There are 5 sets of 11
5 x 11
(5 x 10) + (5 x 1)
50 + 5
55