COURSE Algebra 1 Chapter 1 - Variables, Functions Patterns, and Graphs Learning Goals: 1) Students will be able to use variables to transform English phrases into mathematical expressions, which are then simplified and evaluated. 2) Students will understand function rules and relationships between sets of data and be able to write function rules that describe these relationships. Essential Questions:

How can we use variables to generalize a mathematical situation?What kinds of information can be conveyed by displays of data?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 1-1

Using VariablesA.SSE.1, A.SSE.1.a

● Students will model relationships with variables● Students will model relationships with equations

1 1-2Exponents and Order of Operations

A.SSE.1, A.SSE.1.a

● Students will simplify and evaluate expressions and formulas● Students will simplify and evaluate expressions with grouping

symbols

1 SMP#2 (1-2) ● Students will use order of operations and how the properties are used accordingly

1 1-3Exploring Real numbers

FH.A.1.3 ● Students will classify numbers● Students will compare numbers

1 CC-1Irrational Number Properties

N.RN.3 ● Students will identify if the sum or product is rational or irrational

1 Quiz

1 1-4Patterns and Functions

A.CED.2, S.ID.9

● Students will write a function rule● Students will understand relationship of quantities in a function

1 1-5Scatter plots

S.ID.9 ● Students will analyze data using scatter plots

1 1-6Mean, Median, Mode, and Range

S.ID.1, S.ID.3

● Students will find mean, median, and mode● Students will make and use stem-and-leaf plots

1 CC-19 S.ID.2 ● Students will describe the shape of graphed data and any unusual features

● Students will determine the best measure of center for a data set● Students will describe the spread of a data set

1 CC-19/1-6 SMP #3 ● Students will defend which measure of central tendency they will use to represent a data set

1 1 -6 SMP #3 ● Students will justify which representation best communicates the data

1 CC-20 S.ID.5 ● Students will compare data in a two-way frequency table by calculating ratios and percents

● Students will make predictions by recognizing relationships and trends in two-way frequency tables

1 Quiz / Review

2 Test and Review

16 Total Days

COURSE Algebra 1 Chapter 2 - Rational NumbersLearning Goals: 1)Students will extend their ability to calculate with whole numbers, decimals, and fractions. 2) Students will use the order of operations and distributive property to simplify expressions. 3) Students will learn how to calculate theoretical and experimental probability.

Essential Questions: ● How do the rules for combining rational numbers transfer to the simplifying of algebraic expressions?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 2-4

The Distributive Property

FH.A.2.4 ● Students will distribute to simplify an expression● Students will combine like terms

1 SMP #5 2-4 ● Students can use algebra tiles to model the distributive property

1 SMP #3 2-4 ● Students will identify and fix the mistakes in combining like terms and the distributive property

2 2-5Properties of Numbers

FH.A.2.5 ● Students will recognize which property is being demonstrated (commutative, distributive, associative, inverse, identity)

1 Quiz 2-4 and 2-5

1 2-6Theoretical and Experimental Probability

S.CP.1 ● Students will find theoretical probability● Students will find experimental probability

1 2-7Probability of Compound Events

FH.A.2.7 ● Students will find the probability of independent events● Students will find the probability of dependent events

2 Test and Review

10 Total Days

COURSE Algebra 1 Chapter 3 - Solving EquationsLearning Goal: Students will write and solve multi-step equations in one variable and apply the process to solving proportions and problems involving square roots.

Essential Questions: ● Why are equations useful and how do we solve them?● How do we write an equation for a problem that we want to solve?DAYS LESSON STANDARD STUDENT LEARNING TARGETS

1 3-1Solving Two-Step Equations

A.CED.1, A.REI.1, A.REI.3, A.REI.11

● Students will solve two-step equations● Students will use deductive reasoning

1 3-2Solving Multi-Step Equations

A.CED.1, A.REI.1, A.REI.3

● Students will use the distributive property when combining like terms

● Students will use the distributive property when solving equations

1 3-3Equations with Variables on Both Sides

A.CED.1, A.REI.1, A.REI.3

● Students will solve equations with variables on both sides● Students will identify equations that are identities and have

no solutions

1 3-6Equations and Problem Solving

N.Q.1, N.Q.2, A.CED.1

● Students will define a variable in terms of another variable● Students will model distance-rate-time problems

2 Big Quiz and Review ●

1 3-4 N.Q.1, N.Q.2, ● Students will find ratios and rates

Ratios and Proportion

A.CED.1, A.CED.3, A.REI.1, A.REI.3

● Students will solve proportions

1 3-5Proportions and Similar Figures

A.CED.1, A.REI.3 ● Students will find missing measures of similar figures● Students will use similar figures when measuring indirectly

1 SMP #2 3-5 Students will consider the units involved when performing calculations involving real-life situations

1 3-7Percent of Change

N.Q.1, N.Q.3, A.CED.1

● Students will find percent of change● Students will find percent error

1 3-8Finding and Estimating Square Roots

FH.A.3.8 ● Students will find square roots● Students will estimate and use square roots

2 3-9Pythagorean Theorem

FH.A.3.9, 8.G.6, 8.G.7, 8.G.8

● Students will solve problems using the Pythagorean Theorem

● Students will identify right triangles● Explain a proof of the PT● Use the PT to find the distance between two points

1 3-9 SMP#6 ● Students will attend to precision in answering in exact or rounded answers depending on the situation

2 Test and Review

16 Total Days

COURSE Algebra 1 Chapter 4 - Solving Inequalities Learning Goal: Students will be able to graph and solve inequalities and compound inequalities.

Essential Questions: ● Why are inequalities useful and how do we solve them?● How do we write an inequality for a problem that we want to solve?● What kind of inequality is an appropriate representation of a given situation?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 4-1 Inequalities

and Their GraphsFH.A.4.1 ● Students will graph inequalities on a number line

● Students will write an inequality given a graph or a real-world situation

1 4-2 Solving Inequalities using Addition and Subtraction

A.CED.1, A.REI.3

● Students will solve and graph one-step inequalities by adding and subtracting

1 4-3 Solving NQ.1, A.CED.1, ● Students will solve and graph one-step inequalities by dividing

Inequalities using Multiplication and Division

A.REI.3 and multiplying

1 SMP #7 Lesson 4-3 ● Students will be able to demonstrate why the sense/direction of an inequality changes when you multiply/divide by a negative number

1 Quiz ●

1 4-4 Solving Multi-Step Inequalities

NQ.2, A.CED.1, A.REI.3

● Students will write, solve, and graph multi-step inequalities

1 4-5 Compound Inequalities

NQ.3, A.CED.1, A.REI.3

● Students will write, solve, and graph compound inequalities

1 4-6 Absolute Value Equation and Inequalities

NQ.3, A.CED.1, A.REI.3

● Students will write, solve, and graph absolute value inequalities

1 4-6 SMP #4 ● Students will model word problems with absolute value1 Quiz2 Test and Review12 Total Days

COURSE Algebra 1 Chapter 5 - Graphs and Functions Learning Goal: Students will model data using equations, tables, and graphs, and apply these skills to number patterns in sequences

Essential Questions: ● How can we generalize number patterns using mathematics symbols?● How are functions used in the real world?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 5-1 Relating

Graphs to F.IF.4 ● Students will identify key features of qualitative graphs

(increasing, decreasing, maximum, minimum, etc.)

Events

1 5-2 Relations and Functions

A.REI.10, F.IF.1, F.IF.2

● Students will determine whether or not a relation is a function from a graph, mapping, table, and words

● Students will use function notation to determine the range given the domain

● Students will graph ordered pairs in the coordinate plane

1 5-2 SMP #1 ● Students can model a function in multiple forms (graph, table, verbal description)

1 5-3 Function Rules, Tables, and Graphs

A.SSE.2, A.REI.10, F.IF.2, F.IF.5

● Students will distinguish between discrete and continuous data situations

● Students will model a rule/function with a table of values and a graph

1 SMP #3 Lesson 5-3 ● Students can justify whether a situation is discrete or continuous and model it appropriately

1 5-4 Writing a Function Rule

N.Q.2, A.SSE.1, A.SSE.1.a, A.CED.2F.IF.2, F.BF.1.a

● Students will write a function rule given a table or a real-life situation

1 Quiz1 5-5 Direct

VariationN.Q.2, A.CED.2 ● Students will write equations for direct variation

1 5-6 Inverse Variation

A.CED.2 ● Students will write equation for inverse variation

1 CC-2 - Arithmetic Sequences

A.SSE.1, A.SSE.1.a, A.SSE.1.b, F.IF.3, F.BF.1, F.BF.1.a, F.BF.2, F.LE.2

● Students will write recursive and explicit formulas for arithmetic sequences

1 Quiz / Review2 Test and Review13 Total Days

COURSE Algebra 1 Chapter 6 - Linear Equations and Their Graphs Learning Goals: 1) Students will write linear equations in different forms (slope-intercept, point-slope, and standard). 2) Students will find and interpret slope and rate of change. 3) Students will apply characteristics of parallel and perpendicular lines.Essential Questions:

● How are the characteristics of linear equations related to its graphs?● What kinds of situations can be modeled by a linear function?

LESSON STANDARD STUDENT LEARNING TARGETS1 6-1

Rate of Change and Slope

F.IF.6, F.LE.1.b ● Students will find rate of change from tables and graphs● Students will calculate slope from two ordered pairs m = (y2 – y1) / (x2

– x1)● Students will find the slope of horizontal lines (slope = 0) and the

slope of vertical lines (slope is undefined)

1 6-2 Slope-Intercept Form

A.SSE.1, A.SSE.1.a, F.IF.4, F.IF.7, F.IF.7.a, F.LE.2, F.LE.5

● Students will write linear equations in slope-intercept form y = mx + b

● Students will identify the slope and y-intercept when graphing linear equations

1 6-3Applying Linear Functions

A.CED.2, F.BF.1, F.BF.1.a, F.LE.2

● Students will interpret slope and y-intercept of linear graphs in real-world situations

1 6-4Standard Form

A.SSE.2, A.CED.2, F.IF.4, F.IF.7, F.IF.7.a, F.BF.1, F.BF.1.a, F.LE.2, F.LE.5

● Students will write equations in Standard Form Ax + By = C● Students will graph equations in Standard Form using the x-intercept

(x, 0) and the y-intercept (0, y)● Students will write equations for horizontal lines (y = k) and vertical

lines ( x = h )

1 Quiz

1 6-5Point-Slope Form and Writing Equations of Lines

A.SSE.1, A.SSE.1.a, A.SSE.2, A.CED.2, F.IF.4, F.IF.7, F.IF.7.a, F.BF.1.a,

● Students will write equation of line in Point-Slope Form y – y1 = m ( x – x1 )

● Students will graph equations of lines using Point- Slope Form● Students will transform equations from Point-Slope Form into Slope-

Intercept Form

F.BF.3, F.BF.4, F.BF.4.a, F.LE.2, F.LE.5

1 6-6Parallel and Perpendicular Lines

F.BF.3, F.BF.4, F.BF.4.a

● Students will be given an equation or graphs of lines to determine if lines are parallel (slopes are EQUAL)

● Students will be given an equation or graphs of lines to determine if lines are perpendicular (slopes are OPPOSITE RECIPROCALS )

1 6-6* SMP #8 ● Students will be able to identify the pattern of the slopes being the same (parallel) or negative reciprocals (perpendicular) after looking at the graphs

1 6-7 Scatter Plots and Equations of Lines

NQ.1, F.IF.3, F.LE.5, S.ID.7, S.ID.7.a, S.ID.6.b, S.ID.6.c, S.ID.7, S.ID.8

● Students will write an equation for a trend line/ line of best fit and use it to make a prediction

1 6-7* SMP #4 ● Students will model linear situations in scatter plots and use their model to make predictions

1 6-8 Graphing Absolute Value Functions

F.IF.7, F.IF.7.b, S.ID.6.b

● Students will graph absolute value equations

1 Quiz / Review2 Test and

Review14 Total Days

*May do SMPs at the end of the unit as part of the review

COURSE Algebra 1 Chapter 7 - Systems of Equations and Inequalities Learning Goals: 1) Students will solve systems of equations using graphing, substitution, and elimination methods, and apply these methods to solve real-world problems sections 7.1 - 7.4. 2) Students will graph linear inequalities and model real-world situations using systems of linear inequalities (write and solve) sections 7.5 - 7.6.Essential Questions:

What are some uses of systems of equations and systems of inequalities? How do we solve systems of equations or systems of inequalities?DAYS LESSON STANDARD STUDENT LEARNING TARGETS

1 7-1Solving Systems by Graphing

A.REI.6 ● Students will solve a system of linear equations by graphing● Students will analyze special types of linear systems (no solution,

infinitely many solutions)

2 7-2Solving Systems Using Substitution

A.REI.6 ● Students will solve a system of linear equations by the Substitution Method

2 7-3Solving Systems

N.Q.2, N.Q.3, A.CED.3, A.REI.5, A.REI.6

● Solve a system of linear equations by the Elimination Method

Using Elimination

1 7-1 to 7-3 SMP #3 ● Students will justify which method to use when solving a system (graphing, substitution, or elimination)

1 Quiz

2 7-4Applications of Linear Systems

N.Q.2, N.Q.3, A.CED.3, A.REI.6

● Students will write a system of linear equations and solve the system when modeling real-world situations

1 7-5Linear Inequalities

A.CED.3, A.REI.6, A.REI.12

● Students will graph linear inequalities (graph boundary line, test a point, shade the half-plane)

● Students will write linear inequalities and graph when modeling real-life situations

1 7-5 SMP #4 ● Students can model real-life inequality situations

1 7-6Systems of Linear Inequalities

A.CED.3, A.REI.12

● Students will solve a system of linear inequalities by graphing● Students will model real-world situations using linear inequalities

1 Quiz / Review

2 Test and Review

15 Total DaysCOURSE Algebra 1 Chapter 8 - Systems of Equations and Inequalities

Learning Goals: 1) Students will be able to apply properties of exponents to simplify expressions and write numbers in scientific and standard notation sections 8.1 - 8.5. 2) Students will solve real-world problems involving exponential functions, graph exponential functions, and use exponents to write geometric sequences (both recursively and explicitly) sections 8.6 - 8.8.

Essential Questions: ● How do we simplify expressions with exponents?

● Where are exponents used?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 8-1

Zero and Negative Exponents

N.RN.1 ● Students will simplify expressions using the Zero Exponent Property a0=1

● Students will simplify expressions using the Negative Exponent Property a-n = 1/an

● Students will evaluate general exponential expressions

1 8-2 Scientific Notation

N.RN.1 ● Students will write numbers in Scientific Notation and Standard Notation

● Students will use Scientific Notation when modeling real-world situations

1 8-3 Multiplication Properties of Exponents

N.RN.1 ● Students will use the Product of Powers Property● am * an = a(m+n)

1 8-4 More Multiplication Properties of Exponents

N.RN.1 ● Students will use the Power to a Power Property (am)n=amn

● Students will use the Power of a Product Property (ab)n=anbn

1 8-5 Division Properties of Exponents

N.RN.1, N.RN.2 ● Students will use the Quotient of Powers Property am/an = a(m-n)

● Students will use the Power of a Quotient Property (a/b)n = an/bn

1 8-1 to 8-5 SMP #8 ● Teacher can break down the properties the long way before going through the properties of exponents

1 Quiz ●

1 8-6 Geometric Sequences

N.RN.2, A.SSE.1.a, F.BF.1, F.BF.1.a, F.BF.2, F.LE.2

● Students will use the recursive and explicit formulas for a Geometric Sequence

1 8-7 Exponential Functions

A.SSE.1.a, A.CED.2, F.IF.4,

● Students will evaluate and graph Exponential Functions f(x) = a * bx

F.IF.5, F.IF.7, F.IF.7.e, F.BF.1, F.BF.1.a, F.BF.2, F.LE.2, F.LE.5

1 8-8 Exponential Growth and Decay

A.SSE.1, A.SSE.1.b, A.SSE.3, A.SSE.3.c, A.CED.2, F.IF.4, F.IF.8, F.IF.8.b, F.IF.9, F.BF.3, F.LE.1.c, F.LE.5

● Students will model Exponential Growth/Decay

1 8-8 SMP #4 ● Students can model exponential growth and decay situations

1 Quiz / Review

2 Test and Review

14 Total Days

COURSE Algebra 1 Chapter 9 - Polynomials Learning Goal: Students will categorize polynomials by their degree and number of terms, and then add, subtract, and multiply (factor) these polynomials.

Essential Questions: ●How can polynomials be combined?●What does it mean to factor a polynomial?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 9-1 Adding and

Subtracting Polynomials

A.APR.1 ● Students will write polynomials in standard form● Students will classify polynomials by the number of terms and

the degree

1 9-2 Multiply and Factoring

A.APR.1 ● Students will multiply a monomial by a polynomial● Students will factor a polynomial by greatest common factor

1 9-3 Multiplying Binomials

A.APR.1 ● Students will multiply binomials by binomials● Students will multiply binomials by trinomials

1 9-4 Multiplying Special Cases

A.APR.1 ● Students will multiply binomials by binomials in special cases

1 Quiz ●

1 9-5 Factoring Trinomials of x2+bx + c

A.SSE.1, A.SSE.1.a, A.SSE.1.b, A.SSE.2

● Students will factor trinomials x2+bx+c

1 9-5 SMP #8 ● Students can recognize the relationship between the factored form and expanded form of a polynomial

2 9-6 Factoring Trinomialsof ax2+bx + c

A.SSE.1, A.SSE.1.a, A.SSE.1.b, A.SSE.2

● Students will factor trinomials ax2+bx+c

1 9-7Factoring Special Cases

A.SSE.1, A.SSE.1.a, A.SSE.1.b, A.SSE.2

● Students will factor perfect square trinomials● Students will factor difference of squares

1 9-7 SMP #8 ● Students can recognize patterns in the factoring of trinomials using special cases

1 9-8Factoring by

A.SSE.1.a, A.SSE.1.b, A.SSE.2

● Students will factor by grouping

Grouping1 Quiz / Review2 Test and Review15 Total Days

COURSE Algebra 1 Chapter 10 - Quadratic Equations and Functions Learning Goal: Students will be able to solve quadratic equations by various techniques.

Essential Questions: ● How is a quadratic function connected to its graph?● How are quadratic equations solved?

DAYS LESSON STANDARD STUDENT LEARNING TARGETS1 10-1

Exploring Quadratic Graphs

A.CED.2, F.IF.4, F.IF.5, F.IF.7, F.IF.7.a, F.IF.9, F.BF.3

● Students will graph quadratics of the form y=ax^2● Students will graph quadratics of the form y=ax^2+c

1 10-2Quadratic Functions

A.CED.2, F.IF.4, F.IF.6, F.IF.7, F.IF.7.a, F.IF.9, F.LE.3

● Students will graph quadratics of the form y=ax^2+bx+c● Students will graph quadratic inequalities

1 10-3Solving Quadratic Equations

A.CED.1, A.REI.4, A.REI.4.b, F.LE.3

● Students will solve quadratics equations by graphing● Students will solve quadratics equations by using square roots

2 Review and Quiz

1 10-4Factoring to Solve Quadratic Equations

A.CED.1, A.REI.1, A.REI.4, A.REI.4.b, A.REI.7, A.REI.11, F.IF.8, F.IF.8.a

● Students will solve quadratic equations by factoring

1 10-5Completing the Square

A.SSE.1.a, A.SSE.1.b, A.SSE.3, A.SSE.3.a, A.SSE.3.b, A.CED.1,

● Students will solve quadratic equations by completing the square

A.REI.1, A.REI.4, A.REI.4.a, A.REI.4.b, A.REI.7, A.REI.11, F.IF.8, F.IF.8.a

1 10-5 SMP #5 ● Students will estimate solutions to quadratics from a table or graph

1 10-6 Using the Quadratic Formula

A.SSE.3, A.SSE.3.a, A.SSE.3.b, A.CED.1, A.REI.4, A.REI.4.a, A. REI.4.b

● Students will use the quadratic formula when solving quadratic equations

● Students will choose an appropriate method for solving a quadratic equation

1 10-6 SMP #1 ● Students will make sense of real-life problems involving quadratic functions and use various methods to solve them

1 10-7 Using the Discriminant

FH.A.10.7 ● Students will find the number of solutions of a quadratic equation

1 10-7 SMP #3 ● Students will justify which method they will use to solve a quadratic1 10-8 Choosing

Linear, Quadratic, or Exponential Model

F.IF.4, F.IF.7, F.IF.7.b, F.BF.1, F.BF.1.b, F.LE.1, F.LE.1.a, F.LE.2

● Students will choose a linear, quadratic, or exponential model for data

2 Quiz and Review

2 Test and Review

17 Total Days ●

COURSE Algebra 1 Chapter 11 - Radical Expressions Learning Goal: Students will simplify radical expressions and solve equations containing radicals

Essential Questions: ●How are equations that contain radical expressions solved?

LESSON STANDARD

STUDENT LEARNING TARGETS

2 11-1 Simplifying Radicals

A.REI.2 ● Students will simplify radicals involving products● Students will simplify radicals involving quotients

1 11-1 SMP #7 ● Students will look for and make sense of structure when simplifying square roots

2 11-2 Operations with Radical Expressions

A.REI.2 ● Students will simplify sums and differences● Students will simplify products and quotients

1 11-2 SMP #3 ● Given different radical expressions (simplified or not), students will be able to match which are equal and which are not equal

2 Quiz and Review

1 11-3 Solving Radical Equations

A.REI.2 ● Students will solve equations containing radicals● Students will identify extraneous solutions

2 CC-16 (and / or 11-4)Graphing Square Root Functions

F.IF.7.b ● Students will graph square root functions● Students will translate graphs of square root functions

1 11-4 SMP #4 ● Students will look for repeated structure in finding the vertex of a square root function and comparing it to the algebraic expression

1 Quiz / Review

2 Test and Review

1 11-5 (Optional) G.SRT.6, G.SRT.8

● Students will find trigonometric ratios

1 11-6 (Optional) G.SRT.6, G.SRT.8

● Students will solve problems using trigonometric ratios

17 Total Days

COURSE Algebra 1 Chapter 12 - Rational Functions Learning Goal: Students will simplify and solve rational expressions.Essential Questions:

● How can we simplify rational expressions?● How can we tell the shape of a polynomial function without graphing?

DAYS LESSON STANDARD

STUDENT LEARNING TARGETS

1 12-1Graphing Rational Functions

A.CED.2, F.IF.2, F.IF.4

● Students will graph rational functions and identify asymptotes● Students will identify the function family of the graph based on the equation

1 12-1 SMP #7 ● Students will look for the connection between the asymptotes and the expression in the denominator

1 12-2Simplifying Rational Expressions

A.APR.7

● Students will simplifying rational expressions

2 12-3Multiplying and Dividing Rational Functions

A.APR.7

● Students will multiply and divide rational expressions

2 Quiz and Review

1 12-4Dividing Polynomials

A.APR.6

● Students will divide rational expressions using long division

1 12-4 SMP #2 ● Students will reason abstractly to complete long division

1 12-5Adding and Subtracting Rational Expressions

A.APR.7

● Students will add subtract expressions with like denominators● Students will add subtract expressions with unlike denominators

2 12-6Solving Rational Equations

A.CED.1, A.REI.2

● Students will solve rational equations

1 Quiz / Review

2 Test and Review

15 Total Days