Algebra 1 and Algebra A and B Curriculum Map
Foundations for Algebra – (Chapter 1) / 1st Nine WeeksEssential Questions / Topics
How can you represent quantities, patterns, and relationships?
How are properties related to Algebra? / · Variables and Expressions
· Order of Operations and Evaluating Expressions
· Real Numbers and the Number Line
· Adding and Subtracting Real Numbers
· Multiplying and Dividing Real Numbers
· The Distributive Property
Instruction and Strategies / Assessments
· Graphic Organizer
· PEMDAS
· Number Line Review
· Integer Rules – Song and Sea of Zeros / · Variables and Expressions Quiz
· Order of Operations Quiz
· Integers Quiz
· Foundations for Algebra Test
Standards:
A.SSE.1.a
Interpret parts of an expression such as terms, factors and coefficients.
N,.RN.3
Explain why the sum or product of two rational numbers is rational, that the sum of an irrational and rational number is irrational.
Solving Equations – (Chapter 2) / 1st Nine Weeks
Essential Questions / Topics
· Can equations that appear to be different be equivalent?
· How can you solve equations?
· What kinds of relationships can proportions represent? / · Solving one step, two step, and multistep inequalities
· Solving Literal Equations
· Solving Proportions
· Percents
Instruction and Strategies / Assessments
· Foldable to Solve Equations
· Balancing Scales Graphic Organizer
· Equations – Solving
· Proportions and Percents Graphic Organizer / · Solving Equations Quiz
· Solving Literal Equations Quiz
· Solving Proportions Quiz
· Converting Percent to Decimal and to Fraction Quiz
· Equations and Proportions Test
Standards:
A.CED.1
Create equations in one variable and use them to solve problems.
A. CED.4
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
A. REI.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
N.Q.3
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Solving Inequalities – (Chapter 3) / 1st Nine Weeks
Essential Questions / Topics
· 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? / · Inequalities and Their Graphs
· Solving Inequalities
· Compound Inequalities
· Absolute Value Equations and Inequalities
Strategies and Instruction / Assessments
· Number Line, Greater Than, and Less Than Graphic Organizer
· Solving Inequalities
· Absolute Value Graphic Organizer / Inequalities Quiz
Compound Inequalities Quiz
Absolute Value Quiz
Inequalities, Compound Inequalities and Absolute Value Test
Standards:
A.REI.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
A.CED.1
Create inequalities in one variable and use them to solve problems.
Introduction to Functions - (Chapter 4) / 2nd Nine Weeks
Essential Questions / Topics
· How can you represent and describe functions?
· Can functions describe real-world situations? / · Patterns and Linear Functions
· Graphing a Function Rule
· Writing a Function Rule
· Formalizing Relations and Functions
· Arithmetic Sequences
Instruction and Strategies / Assessments
· Graphic Organizer
· Function Video
· Input Output Chart
· Graphing Functions Charts
· Arithmetic Sequences Foldable / · Functions Test
· Arithmetic Sequences Quiz
Standards
F.IF.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables.
A.REI.10
Understand that the graph of an equation in two variables, is the set of all its solutions plotted in the coordinate plane
F.IF.5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
N.Q.2
Define appropriate quantities for the purpose of descriptive modeling.
F.IF.1
Understand that a function from one set to another set assigns to each element of the domain exactly one element of the range.
F.IF.3
Recognize that sequences are functions.
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Linear Functions – (Chapter 5) / 2nd Nine Weeks
Essential Questions / Topics
· What does that slope of a line indicate about the line?
· What information does the equation of a line give you?
· How can you make predictions based on a scatter plot? / · Rate of Change and Slope
· Slope Intercept Form
· Standard Form
· Parallel and Perpendicular Lines
· Scatter Plots and Trend Lines
Instruction and Strategies / Assessments
· Slope Dude Video
· Slope Guy Sketch
· Foldable
· Graphic Organizer
· Introduction of Graphing Calculator / · Slope Quiz
· Graphing Lines Quiz
· Finding Slope of Lines Quiz
· Slope Project
· Linear Functions Test
Standards
F.LE.1.b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
F.IF.7.a
Graph linear and quadratic functions and show intercepts, maxima, and minima
A.CED.2
Create equations in two or more variables to represent relationships between quantities, graph equations on coordinate axes.
G.GPE.5
Prove the slope criteria for parallel and perpendicular lines.
S.ID.6.a
Fit a linear function for a scatter plot that suggests a linear association.
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Systems of Equations and Inequalities – (Chapter 6) / 2nd Nine Weeks
Essential Questions / Topics
· How can you solve a system of equations and inequalities?
· Can systems of equations model real world situations? / · Solving Systems by Graphing
· Solving Systems by Substitution
· Solving Systems by Elimination
· Linear Inequalities
· Systems of Linear Inequalities
Instruction and Strategies / Assessments
· Graphing Systems Foldable
· Graphic Organizer
· Foldable for Inequalities
· Foldable for Systems of Inequalities / · Solving Systems by Graphing Quiz
· Solving Systems by Substitution and Elimination Quiz
· Linear Inequalities Quiz
· Solving Systems Test
Standards
A.REI.6
Solve systems of linear equalities.
A.REI.5
Prove that, given two equations replacing one equation by the sum of that equation produces the same solutions.
A.REI.12
Graph the solution to a linear inequality in two variables as a half plane.
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Exponents and Exponential Functions – (Chapter 7) / 2nd Nine Weeks
Essential Questions / Topics :
· How can you represent numbers less than 1 using exponents?
· How can you simplify expressions involving exponents?
· What are the characteristics of exponential functions? / · Zero and Negative Exponents
· Multiplying Powers with the Same Base
· Division Properties of Exponents
· Rational Exponents and Radicals
· Exponential Functions
· Exponential Growth and Decay
Instruction and Strategies / Assessments
· Graphic Organizer – Exponents
· Product Rule, Power Rule and Quotient Rule Foldable
· Exponents Dice Game
· Radicals Graphic Organizer
· Stations for Radicals
· Skittles Exponential Growth and Decay Model / · Exponent Rules Quiz
· Radicals Quiz
· Exponents and Radicals Test
· Exponential Functions Quiz
Standards
N.RN.1
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
N.RN.2
Rewrite expressions involving radicals and rational exponents using the properties of exponents.
F.IF.7.e
Graph exponential functions, showing intercepts and end behavior.
F.IF.8.b
Use the properties of exponents to interpret expressions for exponential functions.
Polynomials and Factoring – (Chapter 8) / 3rd Nine Weeks
Essential Questions / Topics
· Can two algebraic expressions that appear to be different be equivalent?
· How are the properties of real numbers related to polynomials? / · Adding and Subtracting Polynomials
· Multiplying and Factoring
· Multiplying Binomials
· Multiplying Special Cases
· Factoring Trinomials
· Factoring Special Cases
· Factoring by Grouping
Instruction and Strategies / Assessments
· Graphic Organizer for Polynomials
· Polynomial Blocks
· Factoring Foldable / · Polynomials Quiz – Combining Like Terms and Multiplying
· Factoring with the GCF Quiz
· Factoring Trinomials Quiz
· Factoring Special Cases
· Polynomials and Factoring Test
Standards
A.APR.1
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction and multiplication.
A.SSE.1.a
Interpret parts of an expression, such as terms, factors and coefficients.
Quadratic Functions and Equations – (Chapter 9) / 3rd Nine Weeks
Essential Questions / Topics
· What are the characteristics of quadratic functions?
· How can you solve a quadratic equation?
· How can you use functions to model real world situations? / · Quadratic Graphs and Their Properties
· Quadratic Functions
· Solving Quadratic Equations
· Factoring to Solve Quadratic Equations
· The Quadratic Formula and the Discriminant
· Linear, Quadratic and Exponential Models
Instruction and Strategies / Assessments
· Graphic Organizer
· Graphing Quadratic Functions
· Foldable for Zero Product Property
· Foldable – Factoring Trinomials
· Quadratic Formula Song and Graphic Organizer / · Axis of Symmetry and Graphing Quiz
· Solving Quadratic Equations by Factoring Quiz
· Quadratic Formula and Discriminant Quiz
· Quadratics Test
Standards
. F.IF.7.a
Graph linear and quadratic functions and show intercepts, maxima and minima.
A.REI.4.b
Solve quadratic equations by inspection. Solve quadratic equations by factoring.
F.LE.1.a
Prove that linear functions grow by equal differences and that exponential functions grow by equal factors over equal intervals.
Radical Expressions and Equations (Chapter 10) / 4th Nine Weeks
Essential Questions / Topics
· How are radical expressions represented?
· What are the characteristics of square root functions?
· How can you solve a radical equation? / · The Pythagorean Theorem
· Simplifying Radicals
· Operations with Radical Expressions
· Solving Radical Equations
Instruction and Strategies / Assessments
· Graphic Organizer
· Radicals Foldable
· Radicals Math Lib Activity / · Pythagorean Theorem Quiz
· Simplifying Radicals Quiz
· Operations with Radicals Quiz
· Radicals Test
Standards
G.SRT.8
Use the Pythagorean Theorem to solve right triangles in applied problems.
A.REI.2
Solve simple rational and radical equations in one variable.
Rational Expressions and Functions – (Chapter 11) / 4th Nine weeks
Essential Questions / Topics
· How are rational expressions represented?
· What are the characteristics of rational functions?
· How can you solve a rational equation? / · Simplifying Rational Expressions
· Multiplying and Dividing Rational Expressions
· Adding and Subtracting Rational Expressions
· Solving Rational Equations
Instruction and Strategies / Assessments
· Graphic organizer
· Rational Expressions Maze
· Rational Expressions Scavenger Hunt / · Simplifying Rational Expressions Quiz
· Multiplying and Dividing Quiz
· Adding and Subtracting Rational Expressions Quiz
· Rational Expressions Test
Standards
A.APR.7
Add, subtract, multiply and divide rational expressions.
A.APR.6
Rewrite simple rational expressions in different forms.
A.CED.1
Create equations in one variable and use them to solve problems.
Data Analysis and Probability (Chapter 12) / 4th Nine Weeks
Essential Questions / Topics
· How can you make and interpret different representations of data?
· How is probability related to real world events? / · Frequency and Histograms
· Measures of Central Tendency and Dispersion
· Box and Whiskers Plots
· Theoretical and Experimental Probability
Instruction and Strategies / Assessments
· Measures of Central Tendency Project
· Probability In Class Project / · Measures of Central Tendency Quiz
· Probability Quiz
Standards
S.ID.1
Represent data with plots on the real number line.
S.ID.2
Use statistics appropriate to the data distribution to compare center and spread of two or more different data sets.
S.CP.1
Describe events as subsets of a sample space using characteristics of the outcomes.