/
Introduction Algebraic expressions, used to describe various situations, contain variables. Introduction Algebraic expressions, used to describe various situations, contain variables.

Introduction Algebraic expressions, used to describe various situations, contain variables. - PowerPoint Presentation

ellena-manuel
ellena-manuel . @ellena-manuel
Follow
384 views
Uploaded On 2018-11-06

Introduction Algebraic expressions, used to describe various situations, contain variables. - PPT Presentation

to understand how each term of an expression works and how changing the value of variables impacts the resulting quantity 112 Interpreting Complicated Expressions 1 Key Concepts If a situation is described verbally it is often necessary to ID: 717255

complicated expressions change interpreting expressions complicated interpreting change expression guided practice represents length term interest congruent variables sides base

Share:

Link:

Embed:

Download Presentation from below link

Download Presentation The PPT/PDF document "Introduction Algebraic expressions, used..." is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Slide1

IntroductionAlgebraic expressions, used to describe various situations, contain variables. It is important to understand how each term of an expression works and how changing the value of variables impacts the resulting quantity.

1.1.2: Interpreting Complicated Expressions

1Slide2

Key ConceptsIf a situation is described verbally, it is often necessary to first translate each expression into an algebraic expression. This will allow you to see mathematically how each term

interacts with the other terms.

As

variables change, it is important to understand that constants will always remain the same. The change in the variable will not change the value of a given constant.

1.1.2: Interpreting Complicated Expressions

2Slide3

Key Concepts, continuedSimilarly, changing the value of a constant will not change terms containing variables.

It is also important to follow the order of operations, as this will help guide your awareness and

understanding of each term.

1.1.2: Interpreting Complicated Expressions

3Slide4

Common Errors/Misconceptionsincorrectly translating given verbal expressions

1.1.2: Interpreting Complicated Expressions

4Slide5

Guided PracticeExample 2To calculate the perimeter of an isosceles triangle, the expression 2s + b is used, where s represents the length of the two congruent sides and

b represents the length of the base. What effect, if any, does increasing the length of the congruent sides have on the expression?

1.1.2: Interpreting Complicated Expressions

5Slide6

Guided Practice: Example 2, continued

Refer

to the expression given: 2

s + b

.Changing only the length of the congruent sides,

s

, will not impact the length of base

b

since

b

is a separate term.

1.1.2: Interpreting Complicated Expressions

6Slide7

Guided Practice: Example 2, continuedIf

the value of the congruent sides, s,

is

increased, the product of 2s will

also increase. Likewise, if the value of

s

is decreased, the value

of 2

s

will

also decrease.

1.1.2: Interpreting Complicated Expressions

7Slide8

Guided Practice: Example 2, continuedIf the value of

s is changed, the result of the change in the terms is a doubling of the change in s

while the value of

b remains the same.

1.1.2: Interpreting Complicated Expressions

8

✔Slide9

Guided Practice: Example 2, continued

1.1.2: Interpreting Complicated Expressions

9Slide10

Guided PracticeExample 3Money deposited in a bank account earns interest on the initial amount deposited as well as any interest earned as time passes. This compound interest can be described by the expression P(1 + r)n

, where P represents the initial amount deposited, r represents the interest rate, and n represents the number of months that pass. How does a change in each variable affect the value of the expression?

1.1.2: Interpreting Complicated Expressions

10Slide11

Guided Practice: Example 3, continuedRefer

to the given expression: P(1 + r

)

n.

Notice the expression is made up of one term containing the factors

P

and (1 +

r

)

n

.

1.1.2: Interpreting Complicated Expressions

11Slide12

Guided Practice: Example 3, continuedChanging

the value of P does not change the value of the

factor (

1 + r)n

, but it will change the value of the expression by a factor of P.

In

other words, the change in

P

will multiply by the result of (1 +

r

)

n

.

1.1.2: Interpreting Complicated Expressions

12Slide13

Guided Practice: Example 3, continuedSimilarly, changing

r changes the base of the exponent, but

does not change the value of

P. (

The base

is the number that will be multiplied by itself.) This change

in

r

will affect the value of the overall expression.

1.1.2: Interpreting Complicated Expressions

13Slide14

Guided Practice: Example 3, continuedChanging

n changes the number of times (1 +

r

) will be multiplied by itself

, but does not change the value of P.

This change will affect the value of the overall expression.

1.1.2: Interpreting Complicated Expressions

14

✔Slide15

Guided Practice: Example 3, continued

1.1.2: Interpreting Complicated Expressions

15