# Algebra 1 Scope and Sequence

**Algebra 1 – Scope and Sequence**

**(Honors and College Prep)**

2016 – 2017

Section / Topic / Objective/Goal:**What the student will know and be able to do**/ Standard / Honors

Pace / College Prep

Pace

1.1 / Variables and Expressions /

- Write verbal expressions for algebraic expressions
- Write algebraic expressions for verbal expressions

A.SSE.2 / 1

1.2 / Order of Operations /

- Evaluate numerical expressions by using the order of operations
- Evaluate algebraic expressions by using the order of operations

A.SSE.2 / 1

1.3 / Properties of Numbers /

- Recognize the properties of equality and identify
- Recognize the Commutative and Associative Properties

A.SSE.2 / 1

1.4 / The Distributive Property /

- Use the distributive property to evaluate expressions
- Use the distributive property to simplify expressions

A.SSE.2 / 1

1.5 / Equations /

- Solve equations with one variable
- Solve equations with two variables

A.REI.1

A.REI.3 / 1

(Include in section 2.2)

1.6 / Relations /

- Represent relations
- Interpret graphs of relations

F.IF.1 / 1

1.7 / Functions /

- Determine whether a relation is a function
- Find function values

F.IF.2

F.IF.5 / 2

1.8 / Interpreting Graphs of Function /

- Interpret intercepts and symmetry of graphs of functions
- Interpret positive, negative, increasing and decreasing behavior, extrema and end behavior of graphs

- / - / - / - / 10 days / - / -

2.1 / Writing Equations /

- Translate sentences into equations
- Translate equations into sentences

2.2 / Solving one-step equations /

- Solve equations by using addition and subtraction
- Solve equations by using multiplication and division

A.REI.3 / 1

(stress checking solutions due to skipping 1.5)

2.3 / Solving Multi-step equations /

- Solve equations involving one operation
- Solve equations involving consecutive integers

A.REI.3 / 1

2.4 / Solving equations with Variable on Each Side /

- Solve equations with variable on each side
- Solve equations involving grouping symbols

A.REI.3 / 2

2.5 / Solving Equations involving Absolute Value /

- Evaluate absolute value expressions
- Solve absolute value equations

A.REI.3 / 2

2.6 / Ratios and Proportions /

- Compare ratios
- Solve Proportions

A.REI.3 / 1

2.8 / Literal Equations and Dimensional Analysis /

- Solve equations for given variables
- Use formulas to solve real-world problems

A.REI.3 / 1

2.9 / Weighted Averages /

- Solve mixture problems
- Solve uniform motion problems

A.REI.3 / 2 / Optional

- / - / - / - / 11 days / - / -

3.1 / Graphing Linear Functions /

- Identify linear equations, intercepts and zeros
- Graph linear equations

F.IF.7a / 1

3.2 / Solving Linear Equations by Graphing /

- Solve linear equations by graphing
- Estimate solutions to linear equations by graphing

F.IF.7a / 1

3.3 / Rate of Change and Slope /

- Use the rate of change to solve problems
- Find the slope of line

F.LE.1a / 1

3.4 / Direction Variation /

- Write and graph direct variation equations
- Solving problems involving direct variation

F.IF.7a / 1

3.6 / Proportional and Nonproportional Relationships /

- Write an equation for a proportional and nonproportional relationship

F.LE.2 / Optional – include in 3.4

- / - / - / - / 4 days / - / -

Quarterly 1 /

**Review for Quarterly Exam**/ Chapter 1

Chapter 2

Chapter 3 /

**25 days of Lessons**/ 1 day / 2 days

4.1 / Graphing equations in Slope-Intercept Form /

- Write and graph linear equations in slope-intercept form
- Model real-world data with equations in slope-intercept form

S.ID.7 / 1

4.2 / Writing Equations in Slope-Intercept Form /

- Write an equation of a line in slope-intercept form given the slope and one point
- Write an equation of a line in slope-intercept form give two points

F.BF.1b

F.LE.2 / 2

4.3 / Writing Equations in Point-Slope Form /

- Write equations of lines in point-slope form
- Write linear equations in different form

F.LE.2 / 1

4.4 / Parallel and Perpendicular Line /

- Write an equation of the line that passes through a given point, parallel to a given line
- Write an equation of the line that passes through a given point, perpendicular to a given line

S.ID.7 / 1

4.5 / Scatter Plots and Lines of Fit /

- Investigate relationships between quantities by using points on a scatter plot
- Use lines of fit to make and evaluate predictions

S.ID.6c / 1

4.6 / Regression and Median-Fit Lines /

- Write equations of best-fit lines using linear regression
- Write equations of median-fit lines

S.ID.6b

S.ID.6c

S.ID.8 / Optional – graphing calc needed

4.7 / Inverse Linear Functions /

- Find the inverse of a relation
- Find the inverse of a linear function

F.BF.4a / Optional – graphing calc needed

- / - / - / - / 6 days / - / -

5.1 / Solving inequalities by Addition and Subtraction /

- Solve linear inequalities by using addition
- Solve linear inequalities by using subtraction

A.REI.3 / 1

5.2 / Solving Inequalities by Multiplication and Division /

- Solve Linear inequalities by using multiplication
- Solve linear inequalities by using division

A.REI.3 / 1

5.3 / Solving multi-step Inequalities /

- Solve linear inequalities involving more than one step
- Solve linear inequalities involving the distributive property

A.REI.3 / 2

5.4 / Solving Compound Inequalities /

- Solve compound inequalities containing the word and, and graph their solution set
- Solve compound inequalities containing the word or and graph their solution set

A.REI.3 / 3

5.5 / Inequalities Involving Absolute Value /

- Solve and graph absolute value inequalities(<)
- Solve and graph absolute value inequalities (>)

A.REI.3 / 2

5.6 / Graphing Inequalities in Two Variables /

- Graph linear inequalities on the coordinate plane
- Solve inequalities by graphing

A.REI.12 / 1

- / - / - / - / 10 days / - / -

6.1 / Graphing Systems of Equations /

- Determine the number of solutions a system of linear equations has
- Solve systems of linear equations by graphing

A.REI.6

A.REI.11 / 2

6.2 / Substitution /

- Solve systems of equations by using substitution
- Solve real-world problems involving systems of equations by using substitution

A.REI.6 / 1

6.3 / Elimination Using Addition and Subtraction /

- Solve systems of equations by using elimination with addition
- Solve systems of equations by using elimination with subtractions

A.REI.6 / 1

6.4 / Elimination Using Multiplication /

- Solve systems by using elimination with multiplication
- Solve real-world problems involving systems of equations

A.REI.6 / 1

6.5 / Applying Systems of Linear Equations /

- Determine the best method of solving systems of equations
- Apply systems of equations

6.6 / Systems of Inequalities /

- Solve systems of linear inequalities by graphing
- Apply systems of linear inequalities

(suggested opener topic) / Optional

- / - / - / - / 8 days / - / -

Quarterly 2 /

**Review for Quarterly Exam**/ Chapter 4

Chapter 5

Chapter 6 /

**24 days of Lessons**/ 1 day / 2 days

7.1 / Multiplication Properties of Exponents /

- Multiplying monomials using the properties of exponents
- Simplify expressional using the multiplication properties of exponents

F.IF.8b / 1

7.2 / Division Properties of Exponents /

- Divide monomials using the properties of exponents
- Simplify expressions containing negative and zero exponents

F.IF.8b / 2

7.3 / Rational Exponents /

- Evaluate and rewrite expressions involving rational exponents
- Solve equations involving expressions with rational exponents

N.RN.2 / Optional

7.4 / Scientific Notation /

- Express numbers in scientific notation
- Find the products and quotients of numbers expressed in scientific notation

- / - / - / - / 3 days / - / -

8.1 / Adding and Subtracting Polynomials /

- Write polynomials in standard form
- Add and subtract polynomials

A.APR.1 / 2

8.2 / Multiplying a Polynomial by a Monomial /

- Multiply a polynomial by a monomial
- Solve equations involving the products of monomials and polynomials

8.3 / Multiplying Polynomials /

- Multiplying binomials by using the FOIL method
- Multiply polynomials by using the distributive property

8.4 / Special Products /

- Find the squares of sums and difference
- Find the product of a sum and difference

8.5 / Using the Distributive Property /

- Use the distributive property to factor polynomials
- Solve the equations of the form ax2+bx=0

A.SSE.3a / 2

8.6 / Solving x2+bx+c=0 /

- Factor trinomials of the form x2+bx+c
- Solve equations of the form x2+bx+c=0

A.REI.4b / 2

8.7 / Solving ax2+bx+c=0 /

- Factor trinomials of the form ax2+bx+c
- Solve equations of the form ax2+bx+c=0

A.REI.4b / 2

8.8 / Differences of Squares /

- Factor binomials that are the difference of squares
- Use the difference of squares to solve equations

A.REI.4b / 1

8.9 / Perfect Squares /

- Factor perfect square
- Solve equations involving perfect squares

A.REI.1 / 2

- / - / - / - / 14 days / - / -

Quarterly 3 /

**Review for Quarterly Exam**/ Chapter 7

Chapter 8 /

**17 days of Lessons**/ 1 day / 2 days

9.1 / Graphing Quadratic Functions /

- Analyze the characteristics of graphs of quadratic functions
- Graph quadratic functions

F.IF.5

F.IF.7a / 2

(General characteristics)

9.2 / Solving Quadratic Equations by Graphing /

- Solve quadratic equations by graphing
- Estimate solutions of quadratic equations by graphing

F.IF.7a / 2

9.3 / Transformations of Quadratic Functions /

- Apply translations to quadratic functions
- Apply dilations and reflections to quadratic functions

F.IF.7a / 2 / Optional

9-4 / Solve Quadratic Equations by Completing the Square /

- Complete the square to write perfect square trinomials
- Solve quadratic equations by completing the square

F.IF.8a / 2

9-5 / Solve Quadratic Equations by using the Quadratic Formula /

- Solve quadratic equations by using the Quadratic Formula
- Use the discriminant to determine the number of a solutions a quadratic has

(Objective 2 – optional)

9-6 / Analyzing Functions with Successive Differences /

- Identify linear, quadratic and exponential functions given data

(Optional – include absolute value from 9-7)

9-7 / Special Functions /

- Identify and graph step functions
- Identify and graph absolute value and piecewise-defined functions

F.IF.7b / Optional

- / - / - / - / 12 days / - / -

10-1 / Square Root Functions /

- Graph and analyze dilations of radical functions
- Graph and analyze reflections and translations of radical functions

F.IF.5

F.IF.7b / 1

10.2 / Simplifying Radical Expressions /

- Simplifying Radical Expressions by using the Product Property of Square roots
- Simplify radical expressions by using the quotient property of square roots

10.3 / Operations with Radical Expressions /

- Add and subtract radical expressions
- Multiply radical expressions

10.4 / Radical Equations /

- Solve radical equations
- Solve radical equations with extraneous solutions (if time permits)

A.CED.2 / 1

(Example 1 and 2 only)

10.5 / Pythagorean Theorem /

- Solve problems by using the Pythagorean Theorem
- Determine whether a triangle is a right triangle

10.6 / Trigonometric Ratios /

- Find trigonometric ratios of angles
- Use trigonometry to solve triangles

G.SRT.7 / Optional / Optional

- / - / - / - / 8 days / - / -

11.3 / Simplifying Rational Expressions /

- Identify values excluded from the domain of a rational expression
- Simplify rational expressions

11.4 / Multiplying and Dividing Rational Expressions /

- Multiply rational expressions
- Divide rational expression

A.APR.6 / 1

11.5 / Dividing Polynomials /

- Divide a polynomial by a monomial
- Divide a polynomial by a binomial

A.APR.6 / 2

11.6 / Adding and Subtracting Rational Expressions /

- Add and subtract rational expressions with like denominators
- Add and subtract rational expressions with unlike denominators

- / - / - / - / 8 days / - / -

Quarterly 4 /

**Review for Quarterly Exam**/ Chapter 9

Chapter 10

Chapter 11 /

**28 days of Lessons**/ 1 day / 2 days

Chap. 12 / Statistics and Probability / Optional