Proportional or Non-proportional?

Slides:

Advertisements

Similar presentations

Identifying and Representing Proportional Relationships

Advertisements

Constant of Proportionality

Identify, write, and graph an equation of direct variation.

Constant of Proportionality

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.

4.2 Graphing linear equations Objective: Graph a linear equation using a table of values.

Representing proportional relationships with equations.

Step 1: Graph the points. You can extend the graph if needed.

Sample Project.  Find the unit rate for each set of data in the table.  If the unit rates are the same for each entry, then the relationship is proportional.

Review for Unit 6 Test Module 11: Proportional Relationships

Directly Proportional Vs. Linear TicketsPeople TicketsPeople TABLE PEOPLEPEOPLE TICKETS PEOPLEPEOPLE.

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.

Direct Variation Section 1.9.

Direct variation.

GraphsTablesEquationsVocabularyFunctions.

12-6 Nonlinear Functions Course 2.

LESSON How can you use tables, graphs, and equations to represent proportional situations? Representing Proportional Relationships.

4.7 PROPORTIONAL RELATIONSHIPS I CAN IDENTIFY PROPORTIONAL RELATIONSHIPS AND FIND CONSTANTS OF PROPORTIONALITY BY USING PROPORTIONS.

Constant of Proportionality. A direct variation is represented by a ratio or equation : or k ≠ 0 Direct Variation – constant ratio EX1) Determine if the.

Representing Proportional Relationships 8.EE.5 - GRAPH PROPORTIONAL RELATIONSHIPS, INTERPRETING THE UNIT RATE AS THE SLOPE OF THE GRAPH. COMPARE TWO DIFFERENT.

Identifying a Proportional Relationship A.) Proportional relationships and charts B.) Proportional relationships and graphs D.) Explaining the x and y.

Warm Up 116 Solve. 6n + 4 = n – 11 Determine whether each linear relationship is proportional. If so, state the constant of proportionality. Write an equation.

Lesson 88 Warm Up Pg Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Proportionality using Graphs and Tables

Linear Functions January 11, 2017.

Solve. 6n + 4 = n – 11 Determine whether each linear relationship is proportional. If so, state the constant of proportionality. Warm Up 116 Write an.

5. 2 Proportions 5. 2 Extension: Graphing Proportional Relationships 5

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

Point-Slope Form and Writing Linear Equations

4.1 representing linear nonproportional relationships

DIRECT VARIATIONS.

Constant of Proportionality

Identify the quadrant that contains each point. 1.(6, –4) 2. (5, 3)

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Constant of Proportionality

Bellwork 1) How do you know if something represents a function or not?

Lesson 5.2 Proportions Students will be able use cross multiply to determine if the two ratios are equivalent.

Constant Rate of change

Model Direct Variation

Lesson 7.9 Identifying Proportional Relationships

Warm-up October 26, 2017 Factor: 66B + 12A – 14

Model Direct Variation

Point-Slope Form and Writing Linear Equations

Proportions Determine if the ratios can form a proportion. , b. a.

An Introduction to Functions

Function - when every x is paired to one y

x-Value = The horizontal value in an ordered pair or input Function = A relation that assigns exactly one value in the range to each.

Recall that a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the.

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

Proportional & Non-proportional Situations

Proportional and Non-proportional Relationships

Constant Rate of Change

Y x Linear vs. Non-linear.

Proportionality using Graphs and Tables

Linear Relationships Graphs that have straight lines

8th grade math end of year review

x − 7 = 13 m − 9 = −13 m + 4 = −12 Ticket in the Door

2.2 Linear relations and functions.

Linear, non linear, and non functions

CC3 – Proportional Relationships

Linear proportional relationship Linear non-proportional relationship

Model Direct Variation

Is it proportional? We will look at some equations, graphs and tables and you will decide if the relationship is proportional. Tell why or why not. If.

Additive Relationship

Objective- To graph a relationship in a table.

Tell whether the slope is positive or negative. Then find the slope.

p.141 Maintenance Sheet Due Friday

Lesson 4.1: Identifying linear functions

Presentation transcript:

Proportional or Non-proportional? 8.F.4

Use this Flow Chart to help you with Proportional & Non-proportional Linear Relationships Is there a Constant Rate of Change? Is it a Function? YES YES NO NO State it is NOT A FUNCTION State there is a VARIABLE RATE OF CHANGE

Use this Flow Chart to help you with Proportional & Non-proportional Linear Relationships Is there a Constant Rate of Change? LINEAR (It graphs to be a straight line!) YES Proportional -or- Non-proportional? NO PROPORTIONAL State there is a VARIABLE RATE OF CHANGE NON-PROPORTIONAL

Proportional -or- Non-proportional? Cross Products are EQUIVALENT 𝑦=𝑘𝑥 The TABLE contains the ordered pair (0,0) The GRAPH will be a line that passes through the ORIGIN PROPORTIONAL NON-PROPORTIONAL Cross Products are NOT EQUIVALENT 𝑦=𝑚𝑥+𝑏 The TABLE does not contain the ordered pair (0,0). It has 0,𝑏 The GRAPH will be a line that dos NOT pass through the ORIGIN