Investigation 2 - Exploring linear functions

The goals for Investigation #2 are:

• Find solutions to a problem using a table or graph
• Understand the connections between linear equations and patterns in tables and graphs.
• Translate information about linear relations into tables, graphs and equations.
• Understand how the y-intercept appears in tables and equations.

Here are the notes from todays class on how linear relations are seen in tables, graphs and equations.

May 1st - Investigation 1 - Moving Straight Ahead

Today we reviewed and completed an additional practice worksheet in class.

Goals for today:

• Understand positive and negative rates of change and how they are represented in tables, graphs and equations.
• Continue to explore y-intercepts.
• Describe the information the variables and numbers in the equation represent.

Here is the Additional Practice and the answers to check your work.

Thursday April 25th- Pledge Plans

We just covered looking at linear equations in terms of walking rates (distance and time variables).  Today we will focus on pledge plans using the variables of distance (x) and money raised(y).

Our goals for today's lesson were:

• construct graphs and tables to model problem situations.
• translate information about linear relations given a table, graph, or equation.
• explore what a y-intercept means in an equation.

Here is the graph for Investigation 1.3 Problems A-C.

Wednesday April 24th - Investigation 1.2

Today we started with the following entry slip.
Those needing more practice with the vocabulary should look to the last post.

We also looked at walking rates and the following formulas:

Speed = distance/ time

Distance = speed x time

Time = distance / speed

Continue working with Google Graphing Calculator.

Monday and Tuesday April 22nd and 23rd

We started a new unit- Moving Straight Ahead today.

The Units first Investigation focuses on:

• Understanding patterns of change between independent and dependent variables for linear relationships.

Here are the notes from today.  These terms are all review from previous units.

Linear relationship or function: “A relationship in which there is a constant rate of change between the two variables.”

 Ex: y= 4x + 10 

Independent variable (x-value): “A variable that isn’t effected by the other variables. Stands alone.” 

Ex: (4,10) (6,2) 

Dependent variable (y-value): “A variable that depends on the independent variable.” 

Ex: “For example, a test score could be a dependent variable because it could change depending on several factors such as how much you studied, how much sleep you got the night before you took the test, or even how hungry you were when you took it.”

y - Intercept: “Location where the line crosses the y axis.”

Coordinate Pair: “A pair of numbers in the form of (x,y) that gives the location of a point on a coordinate graph.”

Ex: (4,6)

Coordinate Grid: “A grid in which you can plot coordinate pairs, on the axis of (x,y).”

Monday April 8th and Tuesday April 9th - Test Prep Answers

Unit Assessment- Accentuate the Negative-  Wednesday and Thursday Part I and II!

Here is the link to the Test Prep Answers for Accentuate the Negative.

Friday April 5th - Study Guide for Unit Test

Here is the link for the Unit Test Study Guide - Accentuate the Negative.

Please rework and work through these problems in the next few days and be ready for the Unit Test Tuesday and Wednesday of next week.  Please come and discuss any areas you are confused with.