monday, 1/4/10 swbat…get ready for the next unit and compute slope

Monday, 1/4/10

SWBAT…get ready for the next unit and compute slope Agenda

1. WU (5 min)

2. Parent functions handout (5 min)

3. Calendar of remaining semester / Announcements (5 min)

4. Get Ready For Chapter 4 (15 min)

5. Notes on slope (20 min)

Warm-Up:

1. Sit at the table corresponding to your symbol

2. Hole punch your note cards and place…

HW #1: Slopes of lines (front & back)

Monday, 1/4 Tuesday, 1/5 Wednesday, 1/6 Thursday, 1/7 Friday, 1/8

Get ready for Ch 4 Slope ½ Day: A Slope Slope

Monday, 1/11 Tuesday, 1/12 Wednesday, 1/13 Thursday, 1/14 Friday, 1/15

Writing equations oflines in slopeintercept form (y=mx+b)

Graphing linearfunctions usingy=mx+b

½ Day: B Graphing linearfunctions usingy=mx+b (cont’d)

Writing equationsof lines in slopeinterceptform

Monday, 1/18 Tuesday, 1/19 Wednesday, 1/20 Thursday, 1/21 Friday, 1/22

MLKNO CLASSES

Writing equationsof lines in slopeinterceptform (cont’d)

Writing equationsof lines in slopeinterceptform (cont’d)

Final studyguide review

Final study guide review

Monday, 1/25 Tuesday, 1/26 Wednesday, 1/27 Thursday, 1/28 Friday, 1/29

ALGEBRA FINAL?

ALGEBRA FINAL?

Point slope form &

Standard form

All 3 forms of lines1. Slope-intercept2. Point-slope 3. Standard

END OF Q2END OF

SEMESTER1NO CLASSES

New unit - what will we be learning

Slope Graphing lines

Slope-intercept form y = mx + b Point slope form (y – y1) = m(x = x1) Standard forms Ax + By = C

Writing equations of lines Slope-intercept form y = mx + b Point slope form (y – y1) = m(x = x1) Standard forms Ax + By = C

Parallel and perpendicular lines Lines of fit

FYI… This is the foundation for upper level math

courses such as Geometry, Algebra II, Pre-Calculus, Calculus

ACT LOVES THIS STUFF!!!

Announcements1. I will be collecting and grading most homeworks2. To do well on the quizzes, tests, and final, you need

to not only be able to use the formulas, but truly understand and apply the concepts

3. You need to complete the “HOTS” problems4. You can expect:

1. 1-2 quizzes/week1. Homework or specific problems from hw2. WUs3. Exit slip

2. Lots of practice problems in class3. Many WU practice problems4. Many exit slip practice problems

5. Vocabulary note cards are due every Friday

All PPT and HWs are on the Infinity website Math Vocab sheet is on the Infinity website Office Hours

Every Tuesday and Thursday in the LibraryMonday and Wedesday with Mr. Martinez in room

107

For the next 15 minutes…

• Complete the ODD questions “Get ready for the next unit” handout

• When you finish, cut a piece of graph paper into 8 squares

• Set-up Cornell notes. Topic is “Slope”

Tuesday, 1/5/10

SWBAT…compute slope Agenda

1. WU (5 min)

2. Notes on slope (40 min)

Warm-Up:

1. Set-up Cornell Notes – Topic is “slope”

2. On the board, write down any word that you associate with “slope”

HW #1: Slopes of lines (front & back)

1 2 3 4 5

Mya Jazmin Emily Pablo Mario

Estefania Alberto Federico Michael Angelica

Angel Garcia Angel Gutierrez

Carolina Isabelle Jennifer

Estephani Jennifer Joshua

1 2 3 4 5

How do engineers build bridges?How do engineers build bridges?

How do engineers build roads?How do engineers build roads?

How do builders build roofs?How do builders build roofs?

How can we write 7% as a fraction?How can we write 7% as a fraction?

7% as a fraction??7% as a fraction??

• Remember than any percent is a part of 100.

77%

100

The grade or incline of a road is the The grade or incline of a road is the same as slopesame as slope

• Here is the picture:

7 feet

100 feet

Slope of a line (m)Slope of a line (m)

• To find the slope, use the formula

4

4

risem

run (elevacion)

(desplazamiento)

Slope of a line (m)Slope of a line (m)

• To find the slope, use the formula

4

441

4m

Slope of a line (m)Slope of a line (m)

• Find the slope of the following lines:

3

2m

1

2A) B)

2

3

risem

run

1

2m

Why do we use Why do we use mm for slope? for slope?

• Possibly because m comes from the French word “monter”, which means to climb

• The earliest textbooks used m, and everyone else just copied it

Slope of a line (m)Slope of a line (m)

• Is the slope positive or negative?

Answer:

Positive, read from left to right

Try for yourselfTry for yourself

• Using the graph paper squares, draw lines with the following slopes.

• Start anywhere on your coordinate plane.

• A) B)

• Glue the graphs in your note book

1

2m

3

4m

1

2m

3

4m

Slope of a line (m)Slope of a line (m)

• The last 2 lines had a positive slope, let’s look at slopes with negative slopes

Slope of a line (m)Slope of a line (m)

• We still use rise over run, except the “stairs” are underneath the line.

3

-2

2

3m

Try for yourselfTry for yourself

• Using the graph paper squares, draw lines with the following slopes.

• Start anywhere on your coordinate plane.

• C) D)

• Glue the graphs in your note book

1

4m

5

6m

1

4m

5

6m

Your turnYour turn

““Official” Definition of SlopeOfficial” Definition of Slope

Slope is the change in the vertical distance (rise) over the change in the horizontal distance (run)

Pendiente: Razon del cambio en la coordenada y (elevacion) al cambio correspondiente en la coordenada x (desplazamiento) a medida que uno se mueve de un punto a otra en una recta.

12

12

xx

yy

x

y

run

risemslope

Find the slope of the line that passes Find the slope of the line that passes through (1, 0) and (-1, -1).through (1, 0) and (-1, -1).

Question

(x(x11, y, y11)) (x(x22, y, y22))

(To see the slope visually… Plot these points. (To see the slope visually… Plot these points. Connect the line (don’t forget arrows)).Connect the line (don’t forget arrows)).

1

2m

What the graph looks like

What is the slope of this line?What is the slope of this line?

x y

0 2

2 1

4 0

6 -1

Horizontal lines have a slope of Horizontal lines have a slope of ______ Vertical lines have a slope of Vertical lines have a slope of ______

HorizontalVertical

m = 0

m = undefined(no slope)

Practice ProblemPractice Problem

A horizontal lines passes through (2, 5). What other point does the line contain?

1. (2,3)

2. (0,5)

3. (5,10)

4. (0,2)

Practice problemPractice problem

Given Slope 1 = 1/100, Slope 2 = 2/15, Slope 3 = -1/25

Question 1: Which is the steepest?

Question 2: Which is the least steep?

HW Prob #14 - 16

Practice ProblemPractice Problem

• Directions: Find the value of r so the line that passes through each pair of point has the given slope.

(12, 10), (-2, r), m = -4

HW Prob #12

Practice ProblemPractice Problem

• Directions: Find the value of r so the line that passes through each pair of point has the given slope.

(12, 10), (-2, r), m = -4

HW Prob #12

• HW#1: Slope, due Thursday