Learning Targets/ ENDURING Understanding
Review: Foundations for Algebra Chapter 1
Students will keep considering:
Students will learn:
Solving Equations Chapter 2
Students will keep considering:
Students will learn:
Solving Inequalities Chapter 3
Students will keep considering:
Students will learn:
An Introduction to Functions Chapter 4
Students will keep considering:
Students will learn:
Linear Functions Chapter 5
Students will keep considering:
Students will learn:
Systems of Equations and Inequalities Chapter 6
Students will keep considering:
Students will learn:
Exponents and Exponential Functions Chapter 7
Students will keep considering:
Students will learn:
Polynomials and Factoring Chapter 8
Students will keep considering:
Students will learn:
Quadratic Functions and Equations Chapter 9
Students will keep considering:
Students will learn:
Radical Expression and Equations Chapter 10
Students will keep considering:
Students will learn:
Data Analysis and Probability Chapter 12
Students will keep considering:
Students will learn:
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.