Bi g Ideas

`We start with Bi g I d eas. E a c h c h a p te r is`

organized around Big Ideas that convey the

key m athem atics concepts you w ill be studying

in the p ro g ra m. T a ke a lo o k a t th e B ig Id e a s o n

pages xxiv and xxv.

`The C om m on C ore State S tandards have`

a sim ilar organizing structure. They

begin w ith Conceptual Categories,

such as A lg e b ra o r Functions.

^ Within each category are

domains and clusters. £

`Core S tate`

if

`Linear Functions`

`Chapter Preview5-1 Rat* of Chang* and Slop*`

5-25*3 Direct Variation Slop*-lnt*rc*pt Form (^)

5-45-5 Polnt-Slope form Standard Form

5-45-7 Parallel and P*rp Scatter Plots a
5-8 Graphing
B I G id e a s
VocabularyEnglish/ Spanish V
fng&shdirect variation,
Dnapwatlon.p. ptecwiw function,
powMlop* form, p

Slop

*?, p. stopeHiMrc^t lornMi (^)*

standard ms s $ s s & & Mlam, p. i

trend tox teterteptp-,mm (^)

standard ms s $ s s & & Mlam, p. i

trend tox teterteptp

p iniMcept.p m

1 P r o p o r t i o n a l i t y

Esse n t i a l Q u e st i o n : W h at d o es t h e sl o p e

of a line indicate about the line?

2 Functions

Esse n t i a l Q u e st i o n : W h at i n f o r m at i o n

does the equation of a line give you?

3 M o d el i n g

Esse n t i a l Q u e st i o n : Ho w can y o u m ak e

predictions based on a scatter plot?

The Big I d eas are organizing ideas

fo r all o f the lessons in the p ro g ra m. A t the

beginning of each chapter, w e ll tell you

which Big Ideas you'll be studying. W e ll

also present an Esse n t i a l Q u e st i o n

fo r each Big Idea.

K«

Choose! be1. IM ia m n f (^)

Z iheslopeofs S. Use form of a It.

(^4) 5. ' t twbiM’i bat mmu. Two lines sat p e r ,

(lJ

1 P r o p o r t i o n a l i t y

In the graph o f a line, the

ratio for the slope indicates

the rate of change.

2 Fu n ct i o n s

There are several form s for

the equation o f a line. Each

form communicates different

in form ation. For instance,

from the point-slope form,

you can determine a point

and the slope of a line.

3 M o d e l i n g

You can m odel the trend

of the real-world data in

a scatter p lo t w ith the

equation o f a line. You can

use the equation to estim ate

or to make predictions.

In th e Ch ap t er Re v i e w at the end of the

chapter, you'll find an answer to the Essential

Question for each Big Idea. W e'll also remind

you o f the lesson(s) w here you studied the

concepts that support the Big Ideas.

Using Your Book f or Success ix