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ALGEBRA 1A TASKS

  UNIT 1: THE SPEEDING PROBLEM
Action Item 1.1: Introduction to Functions TEKS TAKS
Activity 1:
Describing Fines
with Algebra		 Algebra provides us with ways to show and discuss the
relationships between quantities. For instance, in algebra,
we would say that fines, in dollars, and speed, in miles
per hour, are examples of quantities. The relationship
between these quantities is known as a function.

Use this Activity to see an example of a speeding fine
described as a function.

 111.32(a)(3)
111.32(b)(1)(C)		 A(b)(1)(C)
Activity 2:
Using Independent
and Dependent
Variables to Make
Predictions		 Each question describes a problem situation. In each
situation, there is a pair of quantities that may be related
by a function.

Use the given viewpoint of each pair to determine if the
quantities are related by a function.

 111.32(a)(3)
111.32(b)(1)(A)
111.32(b)(1)(B)		 A(b)(1)(A)
A(b)(1)(B)
A(b)(1)(C)
Activity 3:
Domain and Range		 Each unknown quantity has a possible set of values.
You should be able to think about reasonable values for
quantities in problem situations.

Use this Activity to learn about the domain and the range
of values in different problem situations.

 111.32(b)(1)(B)
111.32(b)(2)(B)		 A(b)(2)(B)
Action Item 1.2: Tables and Graphs of Data TEKS TAKS
Activity 4:
Using Functions to
Make Predictions		 Functions can be used to make predictions of unknown
values.

Use this Activity to explore the relationship between a car’s
speed and the time it takes the car to stop. Understanding
this relationship and how it is presented may be useful in
communicating mathematics.

 111.32(b)(2)(D) A(b)(2)(D)
Activity 5:
Graphing Function
Data		 Graphing functions is useful for obtaining information
about a relationship.

Use this activity to learn how to draw scatterplots of data
with your TI-83 Plus and with pencil and paper. Then
use these graphs to make predictions about data sets.

 111.32(a)(5)
111.32(b)(1)(D)
111.32(b)(2)(C)
111.32(b)(2)(D)		 A(b)(2)(C)
A(b)(2)(D)
Activity 6:
Graphs of Functions
and the Two-Second
Rule		 Graphs are useful for describing relationships.

Use this Activity to continue exploring the functional
relationship between a car’s speed and the time it takes
that car to stop. This activity also introduces the idea of
using an algebraic rule (symbols) for estimating a safe
following distance.

 111.32(b)(1)(B)
111.32(b)(2)(C)
111.32(b)(3)(A)
111.32(b)(4)(A)		 A(b)(1)(B)
A(b)(2)(C)
A(b)(3)(A)
A(b)(4)(A)
Activity 7:
Function Graphs
and Speeding
Drivers		 Different kinds of graphs can help you answer questions
about functions, such as what are the dependent and
independent variables.

Use this activity to learn how different graphs and tables
represent functions and help answer questions.

 111.32(b)(1)(B)
111.32(b)(2)(C)		 A(b)(1)(B)
A(b)(2)(C)
Activity 8:
Functions and
Insurance Rates		 People buy automobile insurance by paying monthly
or yearly premiums. The insurance company uses this
money to pay claims, such as when someone has a car
accident and claims repair costs.

Use this Activity to explore functions further by
considering automobile insurance rates.

 111.32(b)(1)(A)
111.32(b)(1)(C)
111.32(b)(1)(E)		 A(b)(1)(A)
A(b)(1)(C)
A(b)(1)(E)
Action Item 1.3: Multiple Representations of Functions TEKS TAKS
Activity 9:
Using tables to think
about speeding fines		 Use this Activity to learn about the process column and
write algebraic rules.		 111.32(b)(3)(B)
111.32(b)(4)(A)		 A(b)(3)(B)
A(b)(4)(A)
Activity 10:
Analyzing speeding
fine functions in
other communities		 Use this Activity to learn how functions are represented
in tables using a graphing calculator and making
predictions based on those tables.		 111.32(b)(1)(C)
111.32(b)(1)(D)
111.32(b)(1)(E)
111.32(b)(3)(B)
111.32(b)(4)(A)		 A(b)(1)(C)
A(b)(1)(D)
A(b)(1)(E)
A(b)(3)(B)
A(b)(4)(A)
Activity 11:
Interpreting your
graphs and your data		 Use this Activity to continue to learn how functions are
represented in scatterplots and how comparing shapes of
different scatterplots can help you predict unknown values.		 111.32(b)(2)(C)
111.32(b)(1)(E)		 A(b)(2)(C)
A(b)(1)(E)

 

  UNIT 2: THE TRASH PROBLEM    
Action Item 2.1: Exploring Linear Functions TEKS TAKS
Activity 1:
Reviewing the
Four-Corner Model		 Use the Four-Corner Model to describe functional
relationships in different problem situations.		 111.32(b)(1)(C)
111.32(b)(1)(D)
111.32(b)(3)(B)		 A(b)(1)(C)
A(b)(1)(D)
A(b)(3)(B)
Activity 2:
Defining Linear
Functions		 A variety of function types can represent problem
situations. In this activity you will learn that functions
whose graphs are (straight) lines are called linear
functions.

You will also be able to recognize the graphs of linear and
non-linear functions.

 111.32(c)(1)(A) A(c)(1)(A)
Action Item 2.2: Rate of Change TEKS TAKS
Activity 3:
Introduction to
Motion		 In this activity, we use motion detectors to study the
functional relationship between time and distance. Since
the distance traveled is directly related to the time spent
traveling, we say that distance is a function of time or that
there is a functional relationship between time and distance.		 111.32(b)(2)(C) A(b)(2)(C)
Activity 4:
Rate of Change I		 The rate of change of a function can determine if it
is linear. Use this activity to explore constant rates of
change and how to write algebraic rules that describe
linear functions.		 111.32(b)(1)(C)
111.32(b)(3)(A)
111.32(b)(3)(B)
111.32(c)(1)(A)
111.32(c)(1)(C)
111.32(c)(2)(A)
111.32(c)(2)(B)		 A(b)(1)(C)
A(b)(3)(A)
A(b)(3)(B)
A(c)(1)(A)
A(c)(1)(C)
A(c)(2)(A)
A(c)(2)(B)
Activity 5:
Rate of Change II		 The rate of change of a function can be determined in
several ways, from the data in a table, from a graph, or
directly from the algebraic rule. In this activity, you will
continue to use verbal descriptions, tables, graphs, and
rules to describe rate of change.		 111.32(c)(1)(C)
111.32(c)(2)(A)
111.32(c)(2)(B)
111.32(c)(3)(A)		 A(c)(1)(C)
A(c)(2)(A)
A(c)(2)(B)
A(c)(3)(A)
Action Item 2.3: The Parent Function TEKS TAKS
Activity 6:
The Linear Parent
Function		 In this activity, you will learn about the linear parent
function, y = x, and begin to explore variations of this
function.		 111.32(b)(3)(B)
111.32(c)(1)(B)
111.32(c)(1)(C)
111.32(c)(2)(A)
111.32(c)(2)(B)
111.32(c)(2)(C)
111.32(c)(2)(E)		 A(b)(3)(B)
A(c)(1)(B)
A(c)(1)(C)
A(c)(2)(A)
A(c)(2)(B)
A(c)(2)(C)
A(c)(2)(E)
Activity 7:
A Variation of
the Linear Parent
Function: y = mx		 Use this activity to investigate a variation of the linear
parent function and to review proportional relationships
and learn to identify the constant of proportionality and
the constant of variation.		 111.32(b)(3)(B)
111.32(c)(2)(C)
111.32(c)(2)(G)		 A(b)(3)(B)
A(c)(2)(C)
A(c)(2)(G)
Activity 8:
Another Variation
of the Linear Parent
Function: y = mx + b		 In this activity, you will continue to explore variations of
the linear parent function in the form y = mx + b.		 111.32(b)(3)(B)
111.32(c)(2)(C)		 A(b)(3)(B)
A(c)(2)(C)
Action Item 2.4: Writing Rules TEKS TAKS
Activity 9:
Writing Rules
Given the Slope and
y-intercept		 Use this activity to practice writing the algebraic rules for
linear functions given the slope and y-intercept.		 111.32(c)(1)(C)
111.32(c)(2)(D)		 A(c)(1)(C)
A(c)(2)(D)
Activity 10:
Writing Rules Given
Points on the Line		 Use this activity to practice writing the algebraic rules for
linear functions given the slope and a point, or given two
points.		 111.32(b)(3)(B)
111.32(c)(1)(C)
111.32(c)(2)(D)		 A(b)(3)(B)
A(c)(1)(C)
A(c)(2)(D)
Activity 11:
Using Function
Notation		 Use this activity to look at situations you have already
explored and learn how to use function notation to
describe the algebraic rules.		 111.32(b)(1)(C)
111.32(b)(4)(A)		 A(b)(1)(C)
A(b)(4)(A)
A(b)(2)(C)
Activity 12:
Practice Writing
Rules		 This activity gives you experience with a variety of
situations that can be modeled by linear functions. Some
of the questions also ask you to generalize the methods
you use.		 111.32(a)(3)
111.32(a)(6)
111.32(b)(1)(C)
111.32(c)(2)(D)		 A(b)(1)(C)
A(c)(2)(D)
Activity 13:
Practicing Linear
and Non-Linear
Functions		 Use this activity to compare linear and non-linear
functions.		 111.32(c)(1)(A)