• 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?

 

• 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, TuronDrinks: pineapple juice, buko juice, sago-gulaman, mango juice

Using different combinations

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?

B =

A=

B =

A=

B =

A=

5

A is twice of B

B half of A

A is thrice of B

A is 5 more than B

B is 5 less than A

B is one third of B

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?

Using the BLOCK method

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, Lorna and Fe make loom bands.

Aida made 20 loom bands. Lorna made 8 less than Aida’s loom bandsFe 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

40 - 28 = 12

cars12 ÷ 2 = 6

14 - 6 = 8motorcycles

------>1.) # of vehicles x 2

----->2.) # of tires – (answer in 1)

------->3.) (answer in 2) ÷ 2

--------->4.) total # of vehicles – # cars

PATTERNS

Routines provide order and efficiency in carrying our tasks

Routines are patterns in real-life

Patterns can help us find the solutions to a problem

ROUTINES

What pattern do you see on the list of mathematical expressions3 x 4 = 12 300 x 400 = 120 0003 x 40 = 120 300 x 4 000 = 1 200 00030 X 4 = 120 3 000 x 400 = 1 200 00030 x 400 = 12 000 3 000 x 4 000 = 12 000 000

12 ÷ 3 = 4 12 000 ÷ 300 = 40 120 ÷ 3 = 40 12 000 ÷ 3000 = 40 120 ÷ 30 = 4 120 000 ÷ 30 000 = 4 1200 ÷ 300 = 4 120 000 ÷ 3 000 = 4012 000 ÷ 30 = 400 120 000 ÷ 3 00 = 400

How do we round –off numbers?

3 692 754 -

64 754 - 64 80064 754 - 65 00064 754 - 60 000

200 000

60 000 0004 000 000

170 754 -

62 579 754 -98 579 754 - 100 000 000

Estimation

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 savingsPhp 25PhP 40PhP 55Php 70

A scientist observes how each bacteria grows. What would be the size after 7 minutes?

Bacteria A

Bacteria B

Minute 1 2 3 4 5 6 7Size in

mm1 4 9 16 25

Minute 1 2 3 4 5 6 7Size in

mm1 4 9 16 25

1 + 2 + 3 ..... 98 + 99 + 100

There are 50 sets of 101

101101101

101 x 50(100 x 50) + (1 x 50)

5 000 + 505 050

1 + 2 + 3 ..... 8 + 9 + 10

There are 5 sets of 11

111111

5 x 11(5 x 10) + (5 x 1)

50 + 555