EXAMPLE 1 Finding Slope The Mount Pilatus Railway in the Swiss Alps is the steepest cogwheel railway in the world. The track rises about 20 feet vertically.

Slides:

Advertisements

Similar presentations

Objective - To find the slope of a line.

Advertisements

Algebra Lesson 6-1 Created by Jeff M. Downs Important Vocabulary Terms The slope of a line is the ratio of the vertical rise to the horizontal run between.

EXAMPLE 5 Solve a real-world problem Roller Coasters

Anatomy of a Line. Equation of a line Interpretations of slope Used to describe the steepness, incline, or grade of a line. Measures the rate of change.

EXAMPLE 5 Solve a real-world problem Roller Coasters During the climb on the Magnum XL-200 roller coaster, you move 41 feet upward for every 80 feet you.

Brett Solberg Sarah Schneider Ralph Davis. Students will be able to derive an accurate formula for finding the slope of a line.

An Algebra I Lesson on Slope Skip Tyler Imagine yourself...

3.3 Find Slope and Rate of Change Objective: Students will be able to find the slope of a line and interpret slope as a rate of change.

The slope of a line. We define run to be the distance we move to the right and rise to be the corresponding distance that the line rises (or falls). The.

Objective- To find the slope of a line given two points. Graph y = 2x - 3 x y x y y = 2x - 3.

4-1A Rate of Change and the Slope of a Line Using a Graph

Writing Improper Fractions EXAMPLE 1 Using the Least Common Multiple EXAMPLE 1 Model Trains Two model trains share a station, but they run on separate.

Calculating Slope of a Line What you should have remembered from Gr. 9! See…your teachers told you you’d see it again…..and??? They were correct!!

Slope describes the steepness of a line By Angela Gallacher.

Do Now 1/21/14 Copy HW in your planner.  Text page 208, #11-20 all, evens In your journal, answer the following question. There are two skateboard.

Introduction To Slope. Slope is a measure of Steepness.

3.4 – FIND AND USE SLOPES. Slope: measures the steepness of a line or the rate of change. Slope = m = Rise Run Up or down Left or right =

Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slope Rate and Slope Horizontal and Vertical Lines Applications 3.5.

Semester B Day 1 Lesson 5-1 Aim: To use counting units to find the slope of a line Standards 4A: Represent problem situations symbolically by using graphs.

Chapter The rise of a line is the difference in y-values (up (+) /down (-)) The run of a line is the difference in x-values (right (+), left.

Slope of a Line Slope basically describes the steepness of a line.

Slope. Slopes (or steepness) of lines are seen everywhere.

4.4 Slope of a Line. Slope – a measure of how steep a line is. Slope is the ratio of the vertical change to the horizontal change of a nonvertical line.

Example 2 Positive and Negative Slope Find the slope of the line. a. = run rise m = x1x1 x2x2 y1y1 y2y2 – – – – = 4 5 =

Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

EXAMPLE 1 Finding Slope The Mount Pilatus Railway in the Swiss Alps is the steepest cogwheel railway in the world. The track rises about 20 feet vertically.

Pre-Algebra 5-5 Coordinate Geometry 6/1/2010 Slope#27 Today’s Plan: -Intro to slope video -Slope practice LT: I will identify the slope of a line. Entry.

Warm-Up. Slope Slope Objectives: Define slope as the ratio of vertical rise to horizontal run. Determine the slope of a line given a graph. Determine.

Find slope in real life EXAMPLE 1 Skateboarding A skateboard ramp has a rise of 15 inches and a run of 54 inches. What is its slope ? SOLUTION slope =

5-1B Rate of Change Warm-up (IN) Learning Objective: to understand that slope is the rate of change of one quantity relative to another and to be able.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 3 Introduction to Graphing.

Chapter 2.2 Slope and Rate of Change. Things to know from Chapter ) How to calculate slope from 2 points. 2.) Determine rise, fall, horizontal,

Finding the Slope. The Question Given the two point (-3,1) and (3,3) which lie on a line, determine the slope of that line. First, let’s draw the graph,

WARM UP SCHOOL BAKE SALE (Lesson 3.5) You have one hour to make cookies for your school bake sale. You spend 24 minutes mixing the dough. It then takes.

Finding The Slope of a Line Slopes are commonly associated with mountains.

3.6 Parallel Lines in a Coordinate Plane Geometry Mrs. Spitz Fall 2005.

Slope of Parallel Lines The slope of a nonvertical line is the ratio of the vertical change (the rise) to the horizontal change (the run). If the line.

What is the meaning of this sign? 1.Icy Road Ahead 2.Steep Road Ahead 3.Curvy Road Ahead 4.Trucks Entering Highway Ahead.

Finding the slope of a Line

Rate of Change A ratio (fraction) of the amount of change in the dependent variable (output) to the amount of change in the independent variable (input)

Slope Slope is the steepness of a straight line..

Slope of a Line (6.1).

5-1 Slope October 25, 2010 What do you think of when you hear the word slope? Are there different types of slopes?

3.6 Parallel Lines in a Coordinate Plane

Slope of a Line.

What is the rise (vertical change in y)?

Objective- To find the slope of a line given

Slope Chapter 8 Section 8.3.

Slopes of lines.

A Lesson on Slope.

slope - describes the steepness of a line

3-6 Parallel Lines in the Coordinate Plane

3.6 Parallel Lines in the Coordinate Plane

Do Now 2/8/12 In your notebook, answer the following question. There are two skateboard ramps at a skate park. One ramp is 12 ft long and 6 ft tall.

The ratio of the vertical change to the horizontal change

The ratio of vertical change to horizontal change

The slope m of a nonvertical line is the number of units

Motion Notes Part 2 Distance- Time Graphs.

Slope basically describes the steepness of a line

Calculating gradients

The slope m of a nonvertical line is the number of units

Monday, October 18 Slope of a Line

Slope is: How steep a line is m Rise over Run All of the above

Perpendicular and Parallel Lines

Find the y-intercept and slope

The homework and classwork grading policy will be STRICTLY enforced

Slope 3.5 Rate and Slope Horizontal and Vertical Lines Applications.

4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.

Turn to Page 84. Draw each of the triangle including all labels

Presentation transcript:

EXAMPLE 1 Finding Slope The Mount Pilatus Railway in the Swiss Alps is the steepest cogwheel railway in the world. The track rises about 20 feet vertically for every 50 feet it runs horizontally. How can you describe the steepness of the track? Cogwheel Railway

EXAMPLE 1 Finding Slope The diagram shows the rise and the run of the Mount Pilatus Railway described above. slope = run rise = 50 ft 20 ft 2 5 = ANSWER The track has a slope of

GUIDED PRACTICE for Example 1 slope = run rise 1 3 = ANSWER The track has a slope of Using slope, describe the steepness of a ramp that rises 6 feet vertically for every 18 feet it reaches horizontally. Ramps = 18 ft 6 ft