The document outlines essential algebra concepts, including the differentiation between constants, variables, coefficients, and polynomials, and illustrates algebraic expressions and their classifications. It emphasizes that a polynomial must have whole number exponents, that there are specific types like binomials and trinomials, and provides real-life applications of algebra. Additionally, it includes activities for understanding and classifying algebraic expressions.

1. BASIC TERMS in
ALGEBRA

2. After going through this module, you are expected to
illustrate and differentiate related terms in algebra:
where n is positive integer
a
constants and variables
b
literal coefficients and
numerical coefficients
c

3. After going through this module, you are expected to
illustrate and differentiate related terms in algebra:
algebraic expressions,
terms and polynomials
d
number of terms, degree
of the term and
e
degree of the polynomial
f
Additional source : Pls watch the video https://youtu.be/ffLLmV4mZwU

4. Activity in Arithmetic VS Algebraic Expression
4
Below are some arithmetic statements with missing terms. Find the
missing term to complete it.
X+ 2 = 5
3 + x = 7
2x = 10
15 / 3 = x
VS
Algebraic sentence / equation

5. 5
The following are important terms to remember

6. 6

7. 7
2x, xy and -8x
four to the second power of four squared
two to the third or two cube
x to the fourth power or x to the fourth
What are the exponents of each term?

8. 8
 a constant 2 ,3, 4, 5….
 a variable a, b, c, ….x, y, z
 Constant and
variables
2x, 3y, z
Numerical
coefficient
Literal coefficient
Exponent Tells how many times the base is used
as a factor
e.g. x² a²
4xy
A term can be:

9. 9

10. 10

11. “
11
There are special kinds of algebraic expression called Polynomials.
A Polynomial is an algebraic expression where each term is a constant, a
variable or a product of a constant and variable.

12. BIG CONCEPT
12
Remember:
An algebraic expression is NOT a polynomial if
1. the exponent of the variable is NOT a whole
number {0, 1, 2, 3..}.
2. the variable is inside the radical sign.
3. the variable is in the denominator

13. Now, let us classify Algebraic Expression according
to the number of terms
13

14. *Each term in Binomial and Trinomial are separated by
+ or - (operation)
14
1st
term 2nd
term 3rd
term
Algebraic expressions composed of two or more terms are called
multinomials.

15. DEGREE OF POLYNOMIAL
The degree of Polynomial in
a single variable is the
highest exponent among
the terms.
Leading term
( standard form)
Leading coefficient
( numerical coefficient)
15

16. Want big impact? Use big image.
16
2. 11d
terms is 9. Therefore, the degree of the polynomial is 9. You can also say that it is a ninth-

17. Tables to compare data
A B C
Yellow
10 20 7
Blue
30 15 10
Orange
5 24 16
17

18. Maps
our office
18

19. What’s More: Copy and complete the table below. Write your
answer on your Math notebook. Number 1 is done for you.
19
1. Mark check (/) whether each expression is a polynomial or not.
1/2 2

20. Application in Real Life : Morning Routine
20

21. In Business and Finance Management
21
Just because we do not see any “X” or “Y” does not mean that algebra has failed to prove its existence; still,
the real-life examples of algebra are uncountable. This precise and concise mathematical language entwines in
a beautiful way with almost all other subjects and even daily life.

22. GENERALIZATION
22
The following diagram gives an example to illustrate the following
algebra vocabulary that you will need to know:
constants, variables, coefficients, terms, expressions, and equations.

23. REMEMBER….
23
Algebraic Expressions
An algebraic expression is one or more algebraic terms in a
phrase. It can include variables, constants, and operating
symbols, such as plus and minus signs. It's only a phrase, not
the whole sentence, so it doesn't include an equal sign.
Algebraic expression:
3x2
+ 2y + 7xy + 5

24. REMEMBER….
24
Algebraic Expressions
An algebraic expression is one or more algebraic terms in a
phrase. It can include variables, constants, and operating
symbols, such as plus and minus signs. It's only a phrase, not
the whole sentence, so it doesn't include an equal sign.
Ex. Algebraic expression:
 3x2
+ 2y +5x³+8 22
y if x=2 and
y=5
 5x³+3x2
+2y+8 x2
y=20

25. ACTIVITY : Count the number of terms each
figure represents. Write your answer on your
notebook.
25

26. .
26
Identify the number of terms in each
algebraic expressions

27. C. Copy and Complete the table below
27

28. 100%
Total success!
28
This Photo by Unknown Author is licensed under CC BY
Additional source : Pls watch the video https://youtu.be/ffLLmV4mZwU

29. SlidesCarnival icons are editable shapes.
This means that you can:
● Resize them without losing quality.
● Change fill color and opacity.
● Change line color, width and style.
Isn’t that nice? :)
Examples:
29

30. Diagrams and infographics
30