Investigation 3 - Solving Equations

In this Investigation the students are looking at working with and solving linear equations.

Essential Questions:
1. How are the coordinates of a point on a line or table related to the equation of a line?
2. What does equality mean?
3. How can the properties of equality be used to solve linear equations?

Here are the notes from Inv 3.2 showing the exploration of equalities.  In the notes we show two methods to solve for an unknown variable (visual and mathematical).

Click here to access the notes.

Inv 2.4 Warm-up

Click here to access the warm-up from today's class.

This focus is on patterns that linear relationships show and what the parts of a linear equation show.

Review Sheets for Investigation 2.

Here are a sample of entry slips we completed this week.  
It is a good reflection if you know the content or not. 
Click here to access the entry slips.

The Essential Question was: 
How does a pattern for a linear relationship show up in a graph, table, or equation?

Inv 1.3 and 1.4 Class notes

Click here to access the class notes from Inv 1.3.

Click here to access the class notes from Inv 1.4

New Unit - Moving Straight Ahead

The primary goal of this Unit is for students to develop an understanding of linear relationships. Students recognize linear relationships by the constant rate of change between two variables in a contextual situation, a table, a graph, or an equation.

Skills Practice Final #1-16

Click here to access the Skills Practice 1-16

Here are the answers to the Skills Practice 1-16

Study Guide and Packet for Friday's Unit Test

Click here to access the Work Packet to Review

Answers to the Review Packet

Comparing and Scaling- Unit Test Review Guide

Essential Learning

• Understands and uses ratios, fractions, differences and percents to solve problems.
• Applies concepts of ratios and proportion in mathematical situations.

Concepts:

• Write comparison statements using ratios, fractions, differences and percents.
• Find unit rates for given situations
• Work with proportional reasoning and create proportions for given problems
• Write equations from word problems
• Complete rate tables.
• Understand percents in forms of tax, raises, commissions and mark-ups.
• Understand the constant of proportionality
• Find scale factors between given proportions

Vocabulary use

Be specific, use the terms we have learned – see the list in your vocabulary notebook.

As a way to study, review and redo the following:

• The two check-ins in the Unit and entry slips.
• Additional Practice Sheet - especially “Finding Unit Rates”
• Looking Back p. 87-88 # 1 and 2
• Question Bank packet
• Important questions to look at in your math binder:

• ACE Inv 1 #1-3 p. 19
• ACE Inv 1 #22 p. 25
• Problem 2.2 p. 46 1a and ACE Inv 2 # 10 p. 53
• Definition and example of constant of proportionality p. 47
• ACE Inv 3 # 27-30 and 35 p. 76 and 77.