Damien High SchoolMathematics & Computer Science Department Curriculum Map

Course Title Algebra 1Prerequisites Average of 60 or higher on the Quantitative and Mathematics portions of the HSPT or Passage of Part I of the Algebra Qualifying Exam or a “B” or higher in Damien’s

Summer School Pre-Algebra courseCSU/UC Approval Yes – Category DLength of Course Year

Brief Course Description This course is designed to provide an introduction to, development of, and study of the basic skills and concepts of elementary algebra concepts. Topics include: fundamental operations of real numbers, evaluating algebraic expressions, simple linear equations and inequalities, solving systems of linear equations and inequalities, operations on polynomials – including factoring, integer exponents, introduction to square roots, introduction to graphing, ratio and proportion, applications (word problems), introduction to algebraic rational expressions and equations, and solving quadratic equations by factoring, the quadratic formula, and completing the square.

Assigned Textbook(s) Allan E. Bellman, Sadie Chavis Bragg, Randall I. Charles, Basia Hall, William G. Handlin, Sr., Dan Kennedy;Algebra ; Pearson Prentice Hall; 2007

Supplemental Material(s) Algebra 1 Workbook; PearsonPHSchool.com

Common Assessments Utilized Common Final each semesterIn-Class WorkHomeworkQuizzesTests

ISOs Addressed Be academically prepared for a higher education …Exhibit community and global awareness …

Overview of Course / Skill OutcomesThis section serves as a precursor to the Curriculum Map and, as such, should briefly describe the various units (major content chunks) that comprise the course as well as the skills / techniques necessary to be successful in the course.

Major Content Outcomes Major Skill Outcomes (include Labs???)

I. Variables, Functions, Patterns, and GraphsA. Using VariablesB. Exponents and Order of OperationsC. Exploring Real NumbersD. Patterns and Functions

II. Rational NumbersA. Adding, Subtracting, Multiplying and Dividing Rational NumbersB. The Distributive PropertyC. Properties of Numbers

III. Solving EquationsA. Solving Two-Step and Multi-Step EquationsB. Equations With Variables on Both SidesC. Ratio and ProportionD. Equations and Problem SolvingE. Percent of Change

IV. Solving InequalitiesA. Inequalities and Their GraphsB. Solving Inequalities Using Addition, Subtraction, Multiplication and DivisionC. Solving Multi-Step InequalitiesD. Compound InequalitiesE. Absolute Value Equations and Inequalities

V. Graphs and FunctionsA. Relations and FunctionsB. Function Rules, Tables, and GraphsC. Writing a Function RuleD. Direct Variation and Inverse Variation

VI. Linear Equations and Their GraphsA. Rate of Change and SlopeB. Slope-Intercept Form and Standard FormC. Point-Slope Form and Writing Linear FunctionsD. Parallel and Perpendicular Lines

Upon completion of this course the student should be able to:

1. Perform calculations on real numbers and use order of operations.

2. Simplify and evaluate expressions using multiple algebraic expressions.

3. Solve linear equations and simple quadratic equations.

4. Solve application problems (word problems) using linear equations.

5. Graph linear equations in two variables by using x- and y-intercepts.

6. Add, subtract, multiply and factor polynomials.

7. Use the rules/properties of exponents.

Unit 1Students should be able to define variables and write an equation to model the relationship in a table.Students should be able to simplify and evaluate an expression.Students should be able to name the set(s) of numbers to which a number belongs.Students should be able to identify the independent and dependent variables and write a function rule to describe the situation.

Unit 2Students should be able to simplify an expression.Students should be able to find each sum or difference of rational numbers.Students should be able to evaluate an expression.Students should be able to decide which property the equation illustrates.

Unit 3Students should be able to solve an equation.Students should be able to define a variable, write an equation, and then solve.Students should be able to solve a proportion.

Unit 4Students should be able to determine whether a number is a solution of the given inequality.Students should be able to define a variable and write an inequality to model a situation.Students should be able to solve an equation or inequality and then graph the solution.Students should be able to solve a compound inequality and graph the solutions.

Unit 5Students should be able to determine whether a relation is a function and if it is a function, state the domain and range.Students should be able to find the range of a function given the domain.Students should be able to model a rule with a table of values and a graph.Students should be able to write a function rule to describe a statement.Students should be able to write a function rule for a table of values.Students should be able to write an equation of the direct variation that includes the given point.Students should be able to determine whether a graph shows a direct variation.Students should be able to find the constant of variation for an inverse function.

VII. Systems of Equations and InequalitiesA. Solving Systems by Graphing, Using Substitution, and Using EliminationB. Applications of Linear SystemsC. Linear InequalitiesD. Systems of Linear Inequalities

VIII. Exponents and Exponential FunctionsA. Zero and Negative ExponentsB. Scientific NotationC. Multiplication and Division Properties of ExponentsD. Exponential Functions

IX. Polynomials and FactoringA. Adding and Subtracting PolynomialsB. Multiplying and FactoringC. Multiplying Binomials and Special CasesD. Factoring Trinomials and Special CasesE. Factoring by Grouping

X. Quadratic Equations and FunctionsA. Exploring Quadratic GraphsB. Quadratic FunctionsC. Solving Quadratic Equations by Factoring, Completing the Square, and Using the Quadratic

FormulaD. Using the Discriminant

XI. Radical Expressions and EquationsA. Simplifying RadicalsB. Operations With Radical ExpressionsC. Solving Radical EquationsD. Graphing Square Root Functions

XI. OptionalE. Trigonometric RatiosF. Angles of Elevation and Depression

XII. Rational Expressions and FunctionsA. Graphing Rational FunctionsB. Simplifying, Multiplying, Dividing, Adding, and Subtracting Rational ExpressionsC. Dividing PolynomialsD. Solving Rational Equations

Unit 6Students should be able to find the slope of a line that passes through a pair of points.Students should be able to graph a linear equation.Students should be able to write the equation of a line in standard form and in slope-intercept form.Students should be able to find the x- and y-intercepts of a line.Students should be able to write the equation of a line in point-slope form given slope and through a given point.Students should be able to write an equation in point-slope form through the given points.Students should be able to write an equation in slope-intercept form for a line the passes through the given point and is parallel or perpendicular to the given line.

Unit 7Students should be able to solve a system by graphing, using substitution, and using elimination.Students should be able to define variables, write an equation, and solve.Students should be able to graph a linear inequality.Students should be able to solve a system of inequalities by graphing.

Unit 8Students should be able to simplify the expression.Students should be able to evaluate exponential expressions and functions.Students should be able to write a number in scientific notation.Students should be able to graph exponential functions.

Unit 9Students should be able to write a polynomial in standard form and name the polynomial based on its degree and number of terms.Students should be able to simply and write the answer in standard form.Students should be able to simplify each product and write in standard form.Students should be able to find the GCF of the terms of the polynomial.Students should be able to factor an expression.Students should be able to factor completely.

Unit 10Students should be able to find the equation of the axis of symmetry and the coordinates of the vertex of the graph of a function.Students should be able to graph a quadratic function, label the axis of symmetry and the vertex.Students should be able to graph a quadratic inequality.Students should be able to find the number of x-intercepts of each function.Students should be able to solve quadratic equations.Students should be able to find the number of solutions of a quadratic equation using the discriminant.Students should be able to solve the quadratic equation using the quadratic formula.Students should be able to write a quadratic equation in standard form and then solve by factoring.Students should be able to solve a quadratic equation by completing the square.

Unit 11Students should be able to simplify a radical expression.Students should be able to solve a radical equation.Students should be able to make a table and graph a radical function.Students should be able to find the domain of a radical function and then graph.

Unit 11 - OptionalStudents should be able to find the measure of the other sides of a right triangle given the length of a side and the measure of an angle.Students should be able to use the distance formula to find the distance between two points.Students should be able to use the midpoint formula to find the midpoint between two points.

Unit 12Students should be able to simplify, multiply, divide, add, and subtract rational expressions.Students should be able to solve a rational equation.

Algebra 1Unit 1 – Variables, Function Patterns, and Graphs

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand the use of variables. How are phrases in English written as algebraic

expressions?

How are situations modeled with equations?

Modeling relationships with variables.Modeling relationships with equations.

California: CA 17

Common Core: 6.EE-2

Students will learn about exponents and order of operations.

How is order of operations used to simplify expressions?

How is substitution used to evaluate expressions?

Simplifying expressions using order of operations PEMDAS:Parentheses, Exponents, Multiplication or Division, Addition or Subtraction.Evaluating expressions using substitution.

California: CA 17

Common Core:

Students will learn about real numbers. How are real numbers classified?

How are real numbers compared?

Classifying real numbers. California: CA 17

Common Core: 8.NS-1

Students will learn about patterns and functions. How are dependent and independent quantities identified?

How are relationships written as functions?

Writing Function Rules.Understanding dependent and independent quantities.

California: CA 17

Common Core: 6.EE-9

Algebra 1Unit 2 – Rational Numbers

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to add rational numbers.

What are real numbers?

How are real numbers added?

Adding numbers with the same sign.Adding numbers with different signs.

California: CA 1

Common Core: 7.NS-1

Students will understand how to subtract rational numbers.

What are rational numbers?

How are rational numbers subtracted?

Subtracting numbers. California: CA 1

Common Core: 7.NS-1c

Students will understand how to multiply and divide rational numbers.

How are real numbers multiplied?

How are real numbers divided?

Multiplying and dividing numbers with the same sign.Multiplying and dividing numbers with different signs.

California: CA 1

Common Core: 7.NS-2

Students will understand the Distributive Property. What is the Distributive Property?

How is the Distributive Property used to simplify expressions?

The Distributive Property. California: CA 1

Common Core: 7.NS-2a

Students will learn about the properties of numbers. What are the properties of real numbers?

How are the properties of real numbers identified?

Properties of real numbers. California: CA 1

Common Core: 7.NS-1d, 7.NS-2c

Algebra 1Unit 3 – Solving [Simple] Equations

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to solve two-step equations.

What are inverse operations?

How are inverse operations used to solve two-step-equations?

Solving two-step-equations using inverse operations.

California: CA 4,5

Common Core: A-REI-3

Students will understand how to solve multi-step equations.

How is Distributive Property used to combine like terms?

How is Distributive Property used to solve equations?

Using Distributive Property to combine like terms.Using Distributive Property to solve equations.

California: CA 4,5

Common Core: A-REI-3

Students will understand how to solve equations with variables on both sides.

How are equations with variables on both sides solved?

How are equations that are identities or have no solution identified?

Solving equations with variables on both sides.Identifying equations that are identities and have no solution.

California: CA 4,5

Common Core: A-REI-3

Students will learn about ratios and proportions. What are proportions?

How are algebraic proportions solved?

Solving algebraic proportions. California: CA 4,5

Common Core: A-REI-3

Students will understand how to solve real-world problems.

How is a variable defined in terms of another variable?

How are distance-rate-time problems solved?

How are consecutive integer problems solved?

Defining a variable in terms of another variable.Solving distance-rate-time problems.Solving consecutive integer problems.

California: CA 4,5

Common Core: A-REI-3

Algebra 1Unit 4 – Solving Inequalities

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will learn about inequalities and their graphs.

How are solutions of inequalities identified?

How are solutions of inequalities graphed?

Identifying solutions of inequalities using substitution.Graphing inequalities.

California: CA 3 - 5

Common Core:

Students will understand how to solve inequalities using addition and subtraction.

How are inequalities solved using addition?

How are inequalities solved using subtraction?

Using addition to solve inequalities.Using subtraction to solve inequalities.

California: CA 3 - 5

Common Core: A-REI-3

Students will understand how to solve inequalities using multiplication and division.

How are inequalities solved using multiplication?

How are inequalities solved using division?

Using multiplication to solve inequalities.Using division to solve inequalities.

California: CA 3 - 5

Common Core: A-REI-3

Students will understand how to solve multi-step inequalities.

How are multi-step inequalities with variables on one side solved?

How are multi-step inequalities with variables on both sides solved?

Solving multi-step inequalities with variables on one side.Solving multi-step inequalities with variables on both sides.

California: CA 3 - 5

Common Core: A-REI-3

Students will understand how to solve compound inequalities.

How are inequalities containing “and” solved and graphed?

How are inequalities containing “or” solved and graphed?

Solving and graphing inequalities containing “and”.Solving and graphing inequalities containing “or”.

California: CA 3 - 5

Common Core: A-REI-3

Students will understand how to solve absolute value equations and inequalities.

How are equations that involve absolute value solved?

How are inequalities that involve absolute value solved?

Solving equations that involve absolute value.Solving inequalities that involve absolute value.

California:

Common Core:

Algebra 1Unit 5 – Solving Inequalities

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will learn about relations and functions. What is a function?

How are relations and functions identified?

How are functions evaluated?

Identifying relations and functions.Evaluating functions.

California: CA 16, 17

Common Core: F-IF-1

Students will understand how to use function rules, tables, and graphs.

How are functions modeled using rules, tables, and graphs?

Modeling functions using rules, tables, and graphs. California: CA 16, 17

Common Core:

Students will understand how to write a function rule.

How is a function rule written given a table or real-world situation?

Writing a function rule given a table or real-world situation.

California: CA 16, 17

Common Core:

Students will learn about direct variation. How is a direct variation equation written?

How are ratios and proportions used with direct variations?

Writing an equation of a direct variation.Using ratios and proportions with direct variations.

California: CA 16, 17

Common Core:

Students will learn about inverse variation. How are inverse variations solved?

How do direct variations and inverse variations compare?

Solving inverse variations.Comparing direct and inverse variation.

California: CA 16, 17

Common Core:

Algebra 1Unit 6 – Linear Equations and their Graphs

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will learn about the rate of change and slope.

How are rates of change found from tables and graphs?

What is slope?

How is slope [of a line] found?

Finding rates of change from tables and graphs.

Finding slope using the slope formula:

y2 y1

x2 x1 .

California: CA 6 -8

Common Core:

Students will learn about the slope-intercept form of a line.

What is slope-intercept form of a line?

What is a linear equation?

How are linear equations written in slope-intercept form?

How are linear equations graphed [using slope and y-intercept]?

Writing linear equations in slope-intercept form: y = mx + b.Graphing linear equations in slope-intercept form.

California: CA 6 -8

Common Core: F-IF-7a

Students will learn about the standard form of a line.

What is an intercept?

How are linear equations graphed using x- and y-intercepts?

How are linear equations written in standard form?

Graphing equations using x- and y-intercepts.Writing equations in standard form: Ax + By = C.

California: CA 6 -8

Common Core: F-IF-7a

Students will learn about the point-slope form of a line and how to write linear equations.

What is point-slope form?

How are linear equations graphed using point-slope form?

How are linear equations written using point-slope form?

Graphing and writing linear equations using point-slope form: y – y1 = m(x – x1).

California: CA 6 -8

Common Core:

Students will learn about parallel and perpendicular lines.

What are parallel lines?

What are perpendicular lines?

How are parallel lines determined?

How are perpendicular lines determined?

Determining whether the lines are parallel by comparing slopes.Determining whether the lines are perpendicular by comparing slopes.

California: CA 6 -8

Common Core:

Algebra 1Unit 7 – Systems of Equations and Inequalities

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to solve systems by graphing.

What is a system of linear equations?

How are systems of linear equations solved by graphing?

What is the possible number of solutions of a system of linear equations?

Solving systems of linear equations by graphing.Determining possible number of solutions of a system of linear equations.

California: CA 6, 9, 15

Common Core: A-REI-6

Students will understand how to solve systems using substitution.

How are systems of linear equations solved using substitution?

Solving systems of equations using substitution. California: CA 6, 9, 15

Common Core:

Students will understand how to solve systems using elimination.

How are systems of linear equations solved using elimination?

Solving systems of linear equations using elimination.

California: CA 6, 9, 15

Common Core:

Students will understand how to apply linear systems to solve real-world problems.

How are real-world problems written as a system of linear equations?

Writing systems of linear equations given real-world problems.

California: CA 6, 9, 15

Common Core: A-CED-2

Students will learn about linear inequalities. How are linear inequalities graphed? Graphing linear inequalities. California: CA 6, 9, 15

Common Core:

Students will understand how to solve systems of linear inequalities.

How are systems of linear inequalities graphed? Graphing systems of linear inequalities. California: CA 6, 9, 15

Common Core:

Algebra 1Unit 8 – Exponents and Exponential Functions

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to use zero and negative exponents.

How are expressions with zero and negative exponents simplified?

How are exponential expressions evaluated?

Simplifying Expressions with Zero and Negative

Exponents: a0=1; a-n=

1an

; ( 1

a )−n

=an

Evaluating Exponential expressions.

California: CA 6, 9, 15

Common Core:

Students will learn about scientific notation. What is scientific notation?

What is standard notation?

How are numbers written in scientific and standard notation?

How is scientific notation used?

Writing number in scientific [a x 10n] and standard notation.

California: CA 6, 9, 15

Common Core: 8.EE-3, 8.EE-4

Students will understand how to use multiplication properties of exponents.

What is a power?

How are powers multiplied?

How is a power raised to a power?

How is a product raised to a power?

Multiplying powers: am x an = am+n

Raising power to a power: (am)n = amn

Raising a product to a power: (ab)n = anbn

California: CA 6, 9, 15

Common Core:

Students will understand how to use division properties of exponents.

How are powers with the same base divided?

How is a quotient raised to a power? Dividing powers with the same base:

am

an=am–n

Raising a quotient to a power: ( a

b )n

=

an

bn

.

California: CA 6, 9, 15

Common Core:

Students will learn about exponential functions. How are exponential functions evaluated?

How are exponential functions graphed?

Evaluating exponential functions.Graphing exponential functions.

California: CA 6, 9, 15

Common Core: F-IF-7e

Algebra 1Unit 9 – Polynomials and Factoring

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to add and subtract polynomials.

What is a polynomial?

How is a polynomial named based on its degree and the number of its terms?

How are polynomials added and subtracted?

Describing polynomials by its degree and the number of its terms.Adding and subtracting polynomials.

California: CA 10, 11

Common Core: A-APR-1

Students will understand how to multiply and factor polynomials.

How is a polynomial multiplied by a monomial?

How is a monomial factored from a polynomial?

Multiplying a polynomial by a monomial.Factoring a monomial from a polynomial.

California: CA 10, 11

Common Core: A-APR-1

Students will understand how to multiply binomials. What is a binomial?

What is a trinomial?

How are binomials multiplied?

How is a binomial multiplied by a trinomial?

Multiplying binomials using FOIL and distributive property.Multiplying trinomials and binomials.

California: CA 10, 11

Common Core: A-APR-1

Students will understand how to factor trinomials of the type x2 + bx + c.

How is a trinomial of the type x2 + bx + c factored? Factoring trinomials of the type x2 + bx + c. California: CA 10, 11

Common Core:

Students will understand how to factor trinomials of the type ax2 + bx + c.

How is a trinomial of the type ax2 + bx + c factored? Factoring trinomials of the type ax2 + bx + c. California: CA 10, 11

Common Core:

Students will understand how to factor by grouping. How are polynomials with four terms factored? Factoring polynomials with four terms by grouping. California: CA 10, 11

Common Core:

Algebra 1Unit 10 – Quadratic Equations and Functions

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will learn about quadratic graphs. How are quadratic functions of the form y=ax2 and y

= ax2 + c graphed?Graphing quadratic functions of the form y=ax2 and y = ax2 + c using tables.

California: CA 14, 19 -22

Common Core: F-IF-7a

Students will learn about quadratic functions. What is a quadratic function?

How are quadratic functions of the form y = ax2 + bx + c graphed?

How are quadratic inequalities graphed?

Graphing quadratic functions of the form

y = ax2 + bx + c using x =

−b2 a

.

Graphing quadratic inequalities.

California: CA 14, 19 -22

Common Core: F-IF-7a

Students will understand how to solve a quadratic equation.

How is a quadratic equation solved by graphing?

How is a quadratic equation solved using square roots?

Solving quadratic equations by graphing.Solving quadratic equations using square roots.

California: CA 14, 19 -22

Common Core: A-REI-4b

Students will understand how to solve a quadratic equation using factoring.

How is a quadratic equation solved by factoring? Solving quadratic equations by factoring. California: CA 14, 19 -22

Common Core: A-SSE-3a; A-REI-4b

Students will understand how to solve a quadratic equation by completing the square.

How is a quadratic equation solved by completing the square?

Solving quadratic equations by completing the square.

California: CA 14, 19 -22

Common Core: A-REI-4b

Students will learn about the quadratic formula. How is the quadratic formula used to solve quadratic equations?

Using the quadratic formula, x = −b±√b2−4 ac

2a , to solve quadratic equations.

California: CA 14, 19 -22

Common Core: A-REI-4b

Students will learn about the discriminant. What is a discriminant?

How is the number of solutions of a quadratic

Finding the number of solutions of a quadratic equation using the discriminant: b2 – 4ac.

California: CA 14, 19 -22

Common Core:

equation found?

Algebra 1Unit 11 – Radical Expressions and Equations

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to simplify radicals. What is a radical?

How are radicals involving products simplified?

How are radicals involving quotients simplified?

Simplifying radicals involving products: √ab=√a√b .Simplifying radicals involving quotients:

√ ab=√a

√b

.

California: CA 2

Common Core:

Students will understand how to use operations with radical expressions.

How are sums and differences of radicals simplified?

How are products and quotients of radicals simplified?

Simplifying sums and differences of radicals by combining like radicals.Simplifying products of radicals by FOIL or distributive property.Simplifying quotients of radicals by rationalizing the denominator.

California: CA 2

Common Core:

Students will understand how to solve radical equations.

How are equations containing radicals solved?

How are extraneous solutions identified?

Solving equations containing radicalsIdentifying extraneous solutions.

California: CA 2

Common Core: A-REI 2

Students will understand how to graph square root functions.

How are square root functions graphed? Graphing square root functions by finding the domain and making a table.

California: CA 2

Common Core: F-IF-7b

Algebra 1Unit 11 – Optional Lessons

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will learn about the Pythagorean Theorem. How are real-world problems solved using the

Pythagorean Theorem?

How are right triangles identified?

Pythagorean Theorem: a2 + b2 = c2 California:

Common Core:

Students will understand how to use the distance formula.

How is the distance formula used to find the distance between two points? Distance formula: d =√ (x2−x1 )2+( y2− y1)2 California:

Common Core: 8.G-8

:

Students will understand how to use the midpoint formula.

How is the midpoint formula used to find the midpoint of a line segment?

Midpoint formula: M = ( x1+x2

2,

y1+ y2

2 ).

California:

Common Core:

Students will learn about trigonometric ratios. How are trigonometric ratios found? Finding trigonometric ratios using SOHCAHTOA. California:

Common Core:

Students will learn about angles of elevation and angles of depression.

How are trigonometric ratios used? Solving problems using trigonometric ratios. California:

Common Core:

Algebra 1Unit 12 – Rational Explanations and Functions

Content Outcomes Essential Questions Key Concepts Standards AddressedStudents will understand how to graph rational functions.

What are rational functions?

How are rational functions graphed?

How are types of functions identified?

Graphing rational functions using the vertical asymptote and making a table.

Identifying types of functions by families.

California: 10, 12, 13

Common Core: F-IF-7d

Students will understand how to simplify rational expressions.

How are rational expressions simplified? Simplifying rational expressions. California: 10, 12, 13

Common Core:

Students will understand how to multiply and divide rational expressions.

How are rational expressions multiplied?

How are rational expressions divided?

Multiplying rational expressions.Dividing rational expressions.

California: 10, 12, 13

Common Core: A-APR-7

Students will understand how to divide polynomials.

How are polynomials divided? Dividing polynomials using long division. California: 10, 12, 13

Common Core: A-APR-6

Students will understand how to add and subtract rational expressions.

How are rational expressions with like denominators added and subtracted?

How are rational expressions with unlike denominators added and subtracted?

Adding and subtracting rational expressions with like denominators.Adding and subtracting rational expressions with unlike denominators.

California: 10, 12, 13

Common Core: A-APR-7

Students will understand how to solve rational equations.

How are rational equations solved?

How are proportions solved?

Solving rational equations by multiplying the equation with the LCD.Solving proportions using cross-multiplication.

California: 10, 12, 13

Common Core: A-REI 2