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Lilaine E. CanobisM.A.Ed. Elem. Mathematics

1. Smart Art

When Rounding Numbers, identify the place of the number to be rounded off and consider the

number right:

5,6,7,8,9

Rounded Up Numbers

0,1,2,3,4

Rounded Down

Numbers

Round Up- add 1 to the number

to be rounded off.

Ex.: 345 -Round to the nearest tens becomes 350

because 5 in the ones place is round up.

Round Down- retain the number to be

rounded off.

Ex.: 162- Round to the nearest tens becomes 160

because 2 in the ones place is round down.

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Lilaine E. CanobisM.A.Ed. Elem. Mathematics

2. Equation

A. Linear Algebra

Distance Problems

Example: Two cars 1 450 kilometers apart are traveling toward each other. One car travels at a rate of60 kph and the other at 85 kph. If they started at the same time, after how many hours will the cars meet?

Solution: ( ) ( ) ( )

B. Number Theory

Diophantine Equation: is an equation whose solution is confined only to the set of integers, i.e. we

seek only for the integral solutions of the variables of the given equation. Furthermore, in applications, we

confine the values of x and y to positive integers.

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Lilaine E. CanobisM.A.Ed. Elem. Mathematics

C. Algebra

Zero and Negative Integer Exponents

To find the value of a number whose exponent is either zero or negative-integer, we shall use the laws

of exponents. Let us consider the second law. If {

Note that

. When

=

. Since

=1 and

=

D. Trigonometry

There are 6 trigonometric functions of

3. Geometric Figures with labels

A C

B

Trian le ABCG

D

F

E

Trapezoid DEFG

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Lilaine E. CanobisM.A.Ed. Elem. Mathematics

The Different Kinds of Angles

Acute Angle Right Angle

Obtuse AngleReflex Angle

90