|
Algebra 1 - Unit I Overview
Unit One starts the year with reviewing order of
operations, adding, subtracting, multiplying, and
dividing integers. Simplifying expressions with the
commutative, associative, and distributive properties
will lead into simplifying algebraic expressions.
Students will then solve one-step and multi-step
equations before they explore the relationship of
functions from the concepts of domain and range
including the use of tables, graphs, diagrams, and
equations.
This unit concludes with students analyzing and
formulating linear functions and identifying
reasonableness for independent/dependant variables and
solutions.
Critical Questions
What strategy did you use to solve the problem? Justify your strategy.
How do you know that you performed the various
calculations correctly?
Explain the strategies you used and why.
How can you relate domain and range to independent
and dependent?
How do you know which relations are functions?
Model and explain the components of a linear
function and justify your choices.
|
|
|
|
Student Performance Expectations |
|
Key
Information in the brackets that is not in bold (8.2A) is the
Texas Essential Knowledge and Skill (TEKS) that this objective
is aligned to.
Information in
the brackets that is in bold
(8.2.11B) (8.2.12A)
(11.2US10A)
is the specific Texas Assessment of Knowledge and Skills (TAKS-
test) objective this objective is aligned to. |
Use order of operations to evaluate real number
expressions.(8.2A)
Use the Graphing Calculator to evaluate expressions. |
Operations
Add, subtract, multiply and divide
real numbers.(8.2B) |
Find specific function values, simplify polynomial
expressions, transform and solve equations, and
factor as necessary in problem situations.(A.4A)(T 9-11)
Use the commutative, associative, and distributive
properties to simplify algebraic expressions.(A.4B)
(T 9-11) |
Solving Equations
Investigate methods for solving linear equations and
inequalities using concrete models, graphs, and the
properties of equality, select a method, and solve
the equations and inequalities.(A.7B)(T 9-11)
|
Find specific function values, simplify polynomial
expressions, transfer and solve equations, and
factor as necessary in problem situations.(A.4A)
Investigate methods for solving linear equations and
inequalities using concrete models, graphs, and the
properties of equality, select a method, and solve
the equations and inequalities.(A.7B)(T9-11) |
Gather and record data and use data sets to
determine functional relationships between quantities.(A.1B)
Linear Functions: The student understands that
linear functions can be represented in different ways and
translates among their various representations.(A.5)
Linear Functions: The student understands the
meaning of the slope and intercepts of the graphs of linear
functions and zeros of linear functions and interprets
and describes the effects of changes in parameters of
linear functions in real-world and mathematical situations.(A.6)
Linear Functions: The student formulates equations
and inequalities based on linear functions, uses a
variety of methods to solve them, and analyzes the
solutions in terms of the situation.(A.7)(T 9-11)
Describe independent and dependent quantities in
functional relationships.(A.1A)(T 9-11) |
Identify mathematical domains and ranges and determine
reasonable domain and range values for given situations, both
continuous and discrete.(A.2B)(T 9-11)
Given the domain, find the range and vice versa.
Use set notation and interval notation to verify
solutions. |
Analyze situations involving linear functions and
formulate linear equations or inequalities to solve
problems.(A.7A)(T 9-11)
Investigate methods for solving linear equations
and inequalities using concrete models, graphs, and the
properties of equality, select a method, and solve
the equations and inequalities.(A.7B)(T 9-11)
Interpret and determine the reasonableness of
solutions to linear equations and inequalities.(A.7C)(T 9-11) |
|
