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Last week, we finished unit 2 and
you should have completed the
summative assessment.
Next week – No Live Class!!
Questions?
Goal
.
Unit 3 Introduction
Agenda
.
Essential Questions
Real Life Connections
Overview
Prior Knowledge
Vocabulary
Scale
Questions
Essential Questions:
‱ What types of real life problems can be solved using
proportions?
‱ What does the graph of a proportional relation look like?
Real Life Connections:
You can apply proportional reasoning to many everyday
applications. For example, sand artists often use a ratio
of 1 part water to 8 parts sand when building their
sculptures. By using proportional reasoning, an artist
can determine that the number of buckets of water
required for 40 buckets of sand.
Unit Overview:
Proportional reasoning is the ability to think about and
compare multiplicative relationships between quantities.
In this unit, you will analyze changes in tables, equations,
and graphs of lines to determine proportionality. You will
determine characteristics of proportional relationships
given in multiple representations, such as verbal,
numerical, algebraic, and graphical. You will explore how a
change in one representation affects another
representation. You will determine that a relationship is
proportional if the ratio of the y-coordinate to the x-
coordinate for each point on a line stays the same and the
line goes through the origin.
Prior Knowledge:
To be successful in this unit, you need to have worked with
graphs, tables, and equations. You should be familiar with
the coordinate plane and how to plot ordered pairs on a
coordinate plane. You should also be able to make a table
and graph given an equation.
Vocabulary:
 Cross product
 Proportional
 Non-Proportional
 Rate
 Ratio
 Unit Rate
 Slope
 Constant of Proportionality
Comparing
Proportional
Relationships
‱ You know and understand the vocabulary
‱ You can identify the graphical features of a
proportional relationship
‱ You can display all of the possibilities in a
proportional relationship by graphing
‱ You can state in words the proportional
relationship shown in a graph
‱ You can calculate the unit rate of a graph
‱ You can compare proportional relationships
displayed in different forms
Goal
.
Unit 3 Introduction
Agenda
.
Essential Questions
Real Life Connections
Overview
Prior Knowledge
Vocabulary
Scale
Questions
Complete the Unit 2 summative
IXL Skills:
‱ Ration Tables – 6th Grade: R.2
‱ Equivalent Ratios – 6th Grade: R.4
‱ Equivalent Ratios: Word Problems – 6th Grade: R.5
‱ Compare Ratios: Word Problems – 6th Grade: R.6
‱ Coordinate Graphs Review – 6th Grade: W.1

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Unit 3 introduction

  • 1. Last week, we finished unit 2 and you should have completed the summative assessment. Next week – No Live Class!! Questions?
  • 2. Goal
. Unit 3 Introduction Agenda
. Essential Questions Real Life Connections Overview Prior Knowledge Vocabulary Scale Questions
  • 3.
  • 4.
  • 5. Essential Questions: ‱ What types of real life problems can be solved using proportions? ‱ What does the graph of a proportional relation look like?
  • 6. Real Life Connections: You can apply proportional reasoning to many everyday applications. For example, sand artists often use a ratio of 1 part water to 8 parts sand when building their sculptures. By using proportional reasoning, an artist can determine that the number of buckets of water required for 40 buckets of sand.
  • 7. Unit Overview: Proportional reasoning is the ability to think about and compare multiplicative relationships between quantities. In this unit, you will analyze changes in tables, equations, and graphs of lines to determine proportionality. You will determine characteristics of proportional relationships given in multiple representations, such as verbal, numerical, algebraic, and graphical. You will explore how a change in one representation affects another representation. You will determine that a relationship is proportional if the ratio of the y-coordinate to the x- coordinate for each point on a line stays the same and the line goes through the origin.
  • 8. Prior Knowledge: To be successful in this unit, you need to have worked with graphs, tables, and equations. You should be familiar with the coordinate plane and how to plot ordered pairs on a coordinate plane. You should also be able to make a table and graph given an equation.
  • 9. Vocabulary:  Cross product  Proportional  Non-Proportional  Rate  Ratio  Unit Rate  Slope  Constant of Proportionality
  • 11. ‱ You know and understand the vocabulary ‱ You can identify the graphical features of a proportional relationship ‱ You can display all of the possibilities in a proportional relationship by graphing ‱ You can state in words the proportional relationship shown in a graph ‱ You can calculate the unit rate of a graph
  • 12. ‱ You can compare proportional relationships displayed in different forms
  • 13. Goal
. Unit 3 Introduction Agenda
. Essential Questions Real Life Connections Overview Prior Knowledge Vocabulary Scale Questions
  • 14. Complete the Unit 2 summative IXL Skills: ‱ Ration Tables – 6th Grade: R.2 ‱ Equivalent Ratios – 6th Grade: R.4 ‱ Equivalent Ratios: Word Problems – 6th Grade: R.5 ‱ Compare Ratios: Word Problems – 6th Grade: R.6 ‱ Coordinate Graphs Review – 6th Grade: W.1