Unit 3 introduction

Housekeeping…..Last week, we finished unit 2 and you should have completed the summative assessment.

Next week – No Live Class!!

Questions?

Goal for today…

Goal….Unit 3 Introduction

Agenda….Essential QuestionsReal Life ConnectionsOverviewPrior KnowledgeVocabularyScaleQuestions

Unit 3 – Linear Equations in Two Variables

Is Usain Bolt the fastest man in the world?

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

Module 3 – Scale

Comparing Proportional Relationships

Level 2: • 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

Level 3: Where we want you to be!

• You can compare proportional relationships displayed in different forms

Goal for today…

Goal….Unit 3 Introduction

Agenda….Essential QuestionsReal Life ConnectionsOverviewPrior KnowledgeVocabularyScaleQuestions

What now?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