1. 5.1 The Language of Mathematics

2. Mathematics is a developing science made up of several branches, including arithmetic , geometry, and algebra. It is a science that studies quantity, shape_, and arrangement.

3. Algebra is
a branch of mathematics that uses symbols to represent unknown numbers or quantities.

4. A term is
An expression formed from the product of numbers and/or variables e.g.) 9x is a term (coefficient and variable) e.g.) 5 is a term (constant)

5. A polynomial is
an algebraic expression made up of terms connected by the operations of addition or subtraction. e.g.) 3x2 - 4

6. Example 1: Name Polynomials by the Number of Terms
Expression
Number of Terms
Name
5x2 1
Monomial
3 - m2 2
Binomial
ab2 – ab + 1 3
Trinomial
-4x2 + xy - y2 + 10 4
Polynomial

7. The degree of a term is
the sum of the exponents on the variables in a single term e.g.) 3xz e.g.) 5x2y e.g.) -2 bc2z3
3x1z1 degree of 2
5x2y1 degree of 3
degree of 6

8. The degree of a polynomial is
the degree of the highest degree term in a polynomial e.g) 5xyz +x2 e.g.) 2x2y2 + x3 – y3 +7xy
degree of 3 3 2
degree of 4 4 3 3 2

9. Example 2: Identifying the Number of Terms and Degree of a Polynomial
Expression
Number of terms
Degree
Name
1 - 3x 2 1
Binomial
4x - 3xy + 7 3
Trinomial
-27b2
Monomial 99
x3 + 2xy - 3xyz

10. You can also represent polynomials using models such as algebra tiles and models (see p. 177)
2x2 – x + 3

11. Partner Jigsaw
p abcd 6abcd 8abc

12. 11, 12, 13
Using

13. Work with Partner on # 19, 23, 25
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