Proportional Relationships and Graphs

Slides:



Advertisements
Similar presentations
Velocity-time graph’s
Advertisements

Ratios and Proportional Relationships Test Review
5.1 Accumulated Changes Example 1: An objects travels with a velocity of 15 mph. What is the distance traveled after 4 hours t v Distance = area.
Proportional relationships and graphs of lines. 1)Using the graph, determine how many calories she burns in one minute? 2)What is the unit rate? What.
Identifying and Representing Proportional Relationships
5-4 Rates of Change and Slope Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
7.1 The Meanings of Ratio, Rate, and Proportion
UNIT RATE & CONSTANT OF PROPORTIONALITY. CONSTANT A CONSTANT is a specific number. This value stays the same. VARIABLE A VARIABLE is a letter used to.
Direct Variation What is it and how do I know when I see it?
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Interpreting the Unit Rate as Slope
5-4 Direct Variation Warm Up 1. Regina walked 9 miles in 3 hours. How many miles did she walk per hour? 2. To make 3 bowls of trail mix, Sandra needs 15.
Rate of Change and Slope. Warm Up Solve each proportion for x.
Representing Proportional Relationships with Equations.
10-1 Inverse Variation 10-2 Rational Functions 10-3 Simplifying Rational Expressions 10-4 Multiplying and Dividing Rational Expressions 10-5 Adding and.
© 2010 Preston PowerPoints Constant Rate of Change Section 1.7.
Then/Now You found rates of change of linear functions. (Lesson 3–3) Write and graph direct variation equations. Solve problems involving direct variation.
Slopes and Direct Variation December 9, Review Slope Slope – Rise Run (-1, -4) and (2, 2)
Relationship between time, displacement, velocity, acceleration. Kinematic.
RATE OF CHANGE AND DIRECT VARIATION
2.3 Direct Variation. A linear function in the form of y=kx where k is the constant of variation.
4.7 PROPORTIONAL RELATIONSHIPS I CAN IDENTIFY PROPORTIONAL RELATIONSHIPS AND FIND CONSTANTS OF PROPORTIONALITY BY USING PROPORTIONS.
5-4 Direct Variation Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Learning Target: I can find the unit rate and the constant of proportionality from a graph, table, and equation. Homework: Complete notes on p for.
Problem of the Day At a concession stand, hamburgers are selling at a rate of 160 hamburgers per hour. The table shows the rate at which wraps are selling.
How do you identify the constant of proportionality in verbal descriptions of proportional relationships?
Warm UpOct. 15  For numbers 1-3, find the slope of the line that passes through each pair of points 1. (-4, -1) and (-3, -3) 2. (-2, 3) and (8, 3) 3.
Lesson 5: How to Interpret Relationships Between Variables.
2.5 The Man Who Ran from Marathon to Athens Graphing Direct Proportions WARM UP A baby elephant nurses for the first two years of its life. Shortly after.
Lesson 88 Warm Up Pg Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.
2.2 Constant Rates of Change
Proportionality using Graphs and Tables
Proportional Relationships
1. If you travel at 10mph for 1 hour, how far do you travel?
Chapter 1.9 Direct Variation.
Lesson – Teacher Notes Standard:
DIRECT VARIATIONS.
Proportional Relationships and Graphs & Constant of Proportionality
Constant of Proportionality
4.3 Proportional Relationships and Graphing
Identify the quadrant that contains each point. 1.(6, –4) 2. (5, 3)
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
of Tables and Equations
Lesson 4 – Represent Proportional Relationships with Equations
Proportional Relationships and Tables Ex: 1a
Problem of the Day At a concession stand, hamburgers are selling at a rate of 160 hamburgers per hour. The table shows the rate at which wraps are selling.
Constant Rates of Change
of Tables and Equations
EXAMPLE #1 Gasoline costs $4.24 per gallon. Cost
A B A B C D C D A B A B C D C D A B A B C D C D A B A B C D C D
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Interpreting the Unit Rate as Slope
The velocity is constant and the distance is:
Direct & Inverse Variation
Speed, Distance and Time
Lesson – Teacher Notes Standard:
Starter Questions Convert the following to minutes :-
Proportional and Non-proportional Relationships
Direct Proportion also known as Direct Variation
Jeopardy A C Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $300 Q $300
Proportionality using Graphs and Tables
Old Thoughts…… Proportional relationships have a constant ratio, or unit rate. The graph of a proportional relationship is a straight line that passes.
Proportionality of Graphs Guided Notes
Lesson – Teacher Notes Standard:
The velocity is constant and the distance is:
Proportional Relationships and Graphs

CC3 – Proportional Relationships
of Tables and Equations
Slope as Rate of Change Wednesday. Feb 5, 2014.
Presentation transcript:

Proportional Relationships and Graphs

Warm Up

1. What does the point (0,0) represent on the graph. (1, 1/10). 2 1. What does the point (0,0) represent on the graph? (1, 1/10)? 2. Use your equation to find how far Damon runs in 40 minutes. How long would it take him to run 7.5 miles?

The graph shows the relationship between the distance a bicyclist travels and the time in hours. What does the point (4, 60) represent? What is the constant of proportionality? Write an equation in the form y=kx for this relationship. What is the meaning of the point with x-coordinate 1?