These sample questions, selected from state end-of-course exams, cover the same algebraic concepts explored in this lesson.
Common Core State Standards 2010
[Note: You may also wish to view Pathways 1 and 2 for Algebra I connections in the CCSS]
- Seeing Structure in Expressions
- Interpret the structure of expressions
- Write expressions in equivalent forms to solve problems
- Arithmetic with Polynomials and Rational Functions
- Perform arithmetic operations on polynomials
- Use polynomial identities to solve problems
- Rewrite rational functions
- Creating Equations
- Create equations that describe numbers or relationships
- Reasoning with Equations and Inequalities
- Understand solving equations as a process of reasoning and explain the reasoning
- Solve equations and inequalities in one variable
- Interpreting Functions
- Interpret functions that arise in applications in terms of the context
- Analyze functions using different representations
- Building Functions
- Build a function that models a relationship between two quantities
- Build new functions from existing functions
- Linear, Quadratic, and Exponential Models
- Interpret expressions for functions in terms of the situation they model
Modeling is best interpreted not as a collection of isolated topics but rather in relation to other standards. Making mathematical models is a Standard for Mathematical Practice.
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
American Diploma Project: Algebra I
Students will be able to represent and solve problems in the following areas:
O: Operations on Numbers and Expressions
O1. Number Sense and Operations
O1.a Reasoning with real numbers
O1.b Using ratios, rates, and proportions
O2. Algebraic Expressions
O2.b Operating with polynomial expressions
O2.c Factoring polynomial expressions
L: Linear Relationships
L1. Linear Functions
L1.a Representing linear functions in multiple ways
L1.b Analyzing linear function
L1.d Using linear models
L2. Linear Equations and Inequalities
L2.a Solving linear equations (and inequalities)
L2.e Modeling with single variable linear equations