Download presentation

Presentation is loading. Please wait.

1
Algebra II: Chapter 2 Mrs. Lowery’s Notes!

2
**Vocabulary Quiz Please match the following words with their definition**

A set of pairs of input and output values The x-coordinates of the relational pair The y-coordinates of the relational pair A way to show the relation between x & y values A relation in which each element of the domain is paired with exactly one element in the range A line which determines whether or not a graph is a function f of x notation Vertical Line Test Mapping Diagram Range Relation Function Notation Function Domain

3
**Coordinate Plane and Ordered Pairs**

Q1 (+x, +y) QII (-x, +y) QIV (+x, -y) QIII (-x, -y) Please Plot (1,5) (2,6) (3, 7)

4
**Terminology Please put the ordered pairs from the previous slide in:**

Relation form (input values output) Identify the Domain (x-values) Identify the Range (y-values) Create a Mapping Diagram

5
**Is the Relation a Function???**

Check out the Domain! Picture view - Mapping diagram Only 1 arrow coming out of each x Practice (-2,-1) (0,3) (-2,3) (5,4) Practice (2,6) (3,6) (4,5) (7,8)

6
**More … Is this Relation a Function?**

Vertical Line Test Plot your points or Graph your Equation Draw a vertical line anywhere on the quadrant plane Count the number of times it cross the points or graph If only 1 – YES!!! It is a function If more than 1 – NO It is not a function (Practice P58 Quick Check 5)

7
**Function Notation f(x)**

f(x)= (Spoken f of x) Whatever variable or number is right there plug in for the variable. Student paycheck example – How much will your paycheck be if you work????? - by hand - advanced grapher - Calculator

8
Practice f(x) = x+1 Find f(3) f(4) f(6)

9
Assignment Guided Practice – in groups of 2 or 3 must show me before you leave! P59 1, 6, 9, 12, 13, 20, 23 (paper or white board) Homework – P33-41odd; 43-45; 46, 50, 53

10
Linear Equations What does Linear mean?

11
**Slope – Intercept Form y = mx + b b = y-intercept (starting point)**

m = slope = Dependent Variable Independent Variable

12
**Technology Application**

Example How To Graph: Identify y-intercept Identify Slope Graph Identify x-intercept Technology Application & Algebraically

13
**Standard Form Ax + By = C How to convert: Ax must be positive**

No Fractions A, B, C must be reduced

14
**Standard Form Graphing**

How to Graph from Standard Form Find x & y intercepts Plot Points Connect the dots

15
**Domain & Range of Linear Function**

Domain – (x-values) Range – (y-values)

16
Find Slope Use two points on a line m = slope =

17
Point-Slope Form Insert for variables in box – y & x always are y & x

18
**Put into Standard Form slope = ; (22,12) Use point-slope**

Use slope intercept

19
Assignment P67 1-9odd; 11-14; odd

20
**Types of Lines: Horizontal Lines y = # Vertical Lines x = #**

Perpendicular Lines – slope =opposite, reciprocal Y-intercept = any number Parallel Lines – Slope – Same Y-intercept = any number other than original

21
**Assignment: P67 17, 18, 26-41, 54-61 Lesson Quiz tomorrow 2.2**

Chapter Quiz tomorrow

22
**Direct Variation y = kx K – slope Notice no b so starts at 0**

y varies constantly with x GOAL: FIND A SPECIFIC K (0,0)

23
Is this direct??? X Y K = y/x -1 3 6 -2 4 7 X Y K = y/x -6 3 12 -2 1 4

24
**Use Proportions Put problem is proportion Cross Multiple Divide**

Practice 1: y = 4 when x = 3; now find y when x = 6 Practice 2: y = 15 when x = 27; now find y when x = 18

25
Assignment GP P74 1, 12, 15, 20, 25 Assignment: P odd 52

26
**Linear Models Linear??? – Line! Solve a problem using a linear graph**

Identify x,y variables Write equation y = mx +b P79 extra example 1

27
**Scatter Plot Correlations**

Weak + Strong + Weak – Strong – No Correlation

28
**Trend Line Line that approximates the relationship between data points**

(LINE OF BEST FIT) Draw a line through data Pick 2 points Find equation Example 4 P80

29
**Technology Application**

Stat: edit: L1 & L2 Stat: calc – LinReg Turn scatter plot on

30
Assignment P81 13, 15, 16, 22, 23

31
**Absolute Value Equations**

Vertex – (min or max) (-b/m, c) How To Graph: Identify b, m, c Find Vertex, Plot, Label Create Table 2 x’s higher & 2 x’s lower than x vertex Plot Table Example

32
Together – White Board P90 1, 8, 10 - with calculator application

33
Assignment P90 18, 20, 29-32; odd Worksheet Quiz Ch 2. Quiz 2

34
**Graphing Inequalities**

It is just like graphing linear equations Solve for y (Do not forget to flip sign if divide by a negative) Start at y-intercept (b) Plot slope (m) If < or > dotted line; If solid line Shade!!

35
Assignment Review Packet Ch2 Quiz 3

Similar presentations

OK

Chapter 7 Graphing Linear Equations REVIEW. Section 7.1 Cartesian Coordinate System is formed by two axes drawn perpendicular to each other. Origin is.

Chapter 7 Graphing Linear Equations REVIEW. Section 7.1 Cartesian Coordinate System is formed by two axes drawn perpendicular to each other. Origin is.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google