## Learning Targets/ ENDURING Understanding

__Review: Foundations for Algebra Chapter 1__Students will keep considering:

- How can you represent quantities, patterns and relationships?
- How are properties related to algebra?

Students will learn:

- To write and evaluate expression with unknown values.

- Properties used to simplify expressions.

__Solving Equations Chapter 2__Students will keep considering:

- Can equations that appear to be different be equivalent?
- How can you solve equations?

Students will learn:

- To solve equations using addition, subtraction, multiplication and division.
- To use the Distributive Property to simplify expressions and solve equations

__Solving Inequalities Chapter 3__Students will keep considering:

- How do you represent relationships between quantities that are not equal?

- Can inequalities that appear to be different be equivalent?

- How can you solve inequalities?

Students will learn:

- To write and graph inequalities.

- To use properties to generate equivalent inequalities.

- That equivalent inequalities are generated by using properties of inequalities.

__An Introduction to Functions Chapter 4__Students will keep considering:

- How can you represent and describe functions?

- Can functions describe real-world situations?

Students will learn:

- To represent functions using tables, equations, and graphs.

- To use function notation.

- To represent arithmetic sequences using function rules.

__Linear Functions Chapter 5__Students will keep considering:

- What does the slope of a line indicate about the line?

- What information does the equation of the line give you?

- How can you make predictions based on a scatter plot?

Students will learn:

- To find slope using a formula and/or graph.

- To analyze various slopes and describe their meaning.

- To find the line of best fit.

- To analyze trend lines in scatter plots.

__Systems of Equations and Inequalities Chapter 6__Students will keep considering:

- How can you solve a system of equations or inequalities?

- Can systems of equations model real-world situations?

Students will learn:

- To solve systems of equations or inequalities by graphing, substitution and elimination.

- To write equations and inequalities to represent situations.

- To examine constraints placed on real-world situations.

__Exponents and Exponential Functions Chapter 7__Students will keep considering:

- How can you represent numbers less than 1 using exponents?

- How can you simplify expressions involving exponents?

- What are the characteristics of exponential functions?

Students will learn:

- To represent numbers using negative exponents.

- To define and use zero and negative exponents.

- The rules for multiplying and dividing powers.

- That an exponential function may show growth or decay.

__Polynomials and Factoring Chapter 8__Students will keep considering:

- Can two algebraic expressions that appear to be different be equivalent?
- How are the properties of real numbers related to polynomials?

Students will learn:

- To add, subtract, multiply and factor polynomial expressions.

- To use the Commutative and Associative Properties to manipulate expressions.

- To use the Distributive Property to multiply and factor polynomials.

__Quadratic Functions and Equations Chapter 9__Students will keep considering:

- What are the characteristics of quadratic functions?

- How can you solve a quadratic equation?

- How can you use functions to model real-world situations?

Students will learn:

- To graph quadratic functions on the coordinate plane.
- To use the discriminant of quadratic equations to analyze the number of times a function crosses the x-axis.
- To solve quadratic equations by graphing, factoring, completing the square and using the quadratic formula.

__Radical Expression and Equations Chapter 10__Students will keep considering:

- How are radical expression represented?
- How can you solve a radical equation?

Students will learn:

- To add, subtract, multiply and divide with radicals.
- To rationalize the denominators of radical expressions.
- To use inverse operations, such as squaring both sides of an equation that has a square root.

__Data Analysis and Probability Chapter 12__Students will keep considering:

- How can collecting and analyzing data help you make decisions or predictions?
- How can you make and interpret different representations of data?
- How is probability related to real-world events?

Students will learn:

- To describe a data set by using measures of central tendency.
- To examine samples and conduct surveys.
- To make predictions based on the data collected and observed.
- To organize data in displays such as frequency tables, histograms and box-and-whisker plots.
- To compare theoretical and experimental probabilities.
- To find probabilities of simple events and compound events.