Unit Map: Algebra I
Content / Skills / AssessmentUnit 1: Operations, Expressions, and Equations
(1st nine weeks)
Use algebraic expressions and equations to model and analyze real-world situations. / Unit 1: Operations, Expressions, and Equations
· Venn Diagrams
· Order of Operations
· Properties and Identities
· Solving Linear Equations / Unit 1: Operations, Expressions, and Equations
Students will be able to:
1. Write algebraic expressions
2. Evaluate numerical and algebraic expressions by using order of operations.
3. Evaluate expressions and solve open sentences
4. Use algebraic properties of identity and equality
5. Use conditional statements and counterexamples
6. Classify and graph rational numbers
7. Perform all operations with rational numbers.
8. Find Square Roots
9. Classify and order real numbers.
10. Translate verbal sentences into equations and equations into verbal sentences
11. Solve equations for given variables
· With more than one operation
· With variables on both sides
· With grouping symbols
12. Solve equations for given variables.
13. Use formulas to solve real-world problems. / Unit 1: Operations, Expressions, and Equations
Open Response
· Text Work
· Informal and Formal Assessments
· Common Assessments for Algebra I
Unit 2: Graphing Relations, Functions, and Equations
(2nd nine weeks)
Technology Required / Unit 2: Graphing Relations, Functions, and Linear Equations
· The Coordinate Plane
· Relations
· Linear Equations
· Slope
· Graphing Linear Equations
· Functions
· Systems of Linear Equations / Unit 2: Graphing Relations, Functions, and Linear Equations
Students will be able to:
1. Graph ordered pairs relations, and equations.
2. Represent relations as sets of ordered pairs, tables, mappings, and graphs.
3. Find the inverse of a relation
4. Determine whether an equation is linear.
5. Graph linear equations..
6. Determine whether a relation is a function.
7. Find the slope of a line
8. Use rate of change to solve real world problems.
9. Write and graph linear equations in slope-intercept and point slope forms.
10. Model real-world data with an equation in slope-intercept form.
11. Write equation of a line given slope and point or two points on the line.
12. Write equation of a line in different forms.
13. Write equations for parallel and perpendicular lines.
14. Solve systems of linear equations by graphing. / Unit 2: Graphing Relations, Functions, and Linear Equations
· Open Response
· Text Work
· Informal and Formal Assessments
· Common Assessments for Algebra I
Unit 3: Inequalities and Polynomials
(3rd nine weeks) / Unit 3: Inequalities and Polynomials
· Solving Inequalities
· Graphing Solutions to Inequalities
· All Operations
· Special Products
· Factoring / Unit 3: Inequalities and Polynomials
Students will be able to:
1. Solve Linear Inequalities.
2. Solve compound inequalities and graph their solution sets.
3. Solve absolute value equations and inequalities.
4. Graph inequalities in the coordinate plane.
5. Find products and quotients of monomials.
6. Find the degree of a polynomial and arrange the terms in order.
7. Add, Subtract, and multiply polynomials expressions.
8. Solve equations involving polynomials.
9. Find special products of binomials.
10. Find the prime factorization of integers and monomials.
11. Find the GCF for sets of integers and monomials.
12. Factor Polynomials.
13. Use the Zero Product Property to solve equations. / Unit 3: Inequalities and Polynomials
· Open Response
· Text Work
· Informal and Formal Assessments
· Common Assessments for Algebra
Unit 4: Probability and Data / Unit 4: Probability and Data
· Proportions
· Percents of Change
· Basic Counting Law
· Compound Events
· Probability Distributions
· Theoretical/Experimental Probability
· Measure of Central Tendency
· Outliers / Unit 4: Probability and Data
Students will be able to:
1. Solve Equations and Proportions.
2. Find Percents of Change.
3. Solve Proportions.
4. Analyze Data given in tables and graphs.
5. Determine whether graphs are misleading.
6. Analyze data using mean, median, and mode.
7. Find the probability of a simple event.
8. Count outcomes using a tree diagram.
9. Count outcomes using the Fundamental Counting Principal
10. Find probabilities of two independent or dependent events.
11. Find the probability of two mutually exclusive or inclusive events.
12. Use probability distributions to solve real-world problems.
13. Use theoretical and experimental probability to represent and solve problems involving uncertainty.
14. Perform probability simulations to model real-world situations involving uncertainty. / Unit 4: Probability and Data
· Open Response
· Text Work
· Informal and Formal Assessments
· Common Assessments for Algebra
Clay County Algebra I Unit Map, 2009-2010