
The Education Accountability Act requires the development of endofcourse examinations in certain courses. The program is called EndofCourse Examination Program (EOCEP). In compliance with SC State law, each student is required to take the Algebra 1 EndofCourse Test upon completion of Algebra 1 or Intermediate Algebra. This test will be administered to students at the end of the appropriate marking period.
The content of the Algebra 1 EndofCourse Test will be based upon the 2015 South Carolina College and Career Ready State Standards for Mathematics. The test will count 20% of the student’s final grade. A complete copy of the 2015 South Carolina College and Career Ready State Standards for Algebra 1 is attached. Additional information can be found at the South Carolina State Department of Education’s website, www.ed.sc.gov .
All public middle school, high school, alternative school, adult education, and home school students who are enrolled in the aforementioned Algebra courses, in which the curriculum standards corresponding to the EOCEP tests are taught, regardless of course name or number, must take the appropriate tests.
Each examination will be administered to the students at the end of the semester in which they are scheduled to complete the course. The Algebra 1 EndofCourse Test is not timed. The test is designed for a 90minute period. This includes the time it takes to administer and complete the test.
Calculators may be used for the Algebra 1 EndofCourse Test. Schoolprovided or studentowned calculators may be used if they meet the requirements stipulated in the Policy on the Use of Calculators. The memory of every calculator used during testing must be reset before and after testing to clear all applications and programs.
Have A Great School Year!
Jennifer Thorsten
612 Mathematics Coordinator
(843) 899 – 8724
thorsten@bcsdschools.net
East Main Street PO Box 608 Moncks Corner, SC 29461
South Carolina College and CareerReady (SCCCR) Algebra 1
Key Concepts
Standards
The student will:
A1.AAPR.1* Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. (Limit to linear; quadratic.)
The student will:
A1.ACE.1* Create and solve equations and inequalities in one variable that model realworld problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. (Limit to linear; quadratic; exponential with integer exponents.)
A1.ACE.2* Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. (Limit to linear; quadratic; exponential with integer exponents; direct and indirect variation.)
A1.ACE.4* Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines.
The student will:
A1.AREI.1*
Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.
A1.AREI.3*
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
A1.AREI.4*
Solve mathematical and realworld problems involving quadratic equations in one variable. (Note: A1.AREI.4a and 4b are not Graduation Standards.)
a. Use the method of completing the square to transform any quadratic equation in 𝑥𝑥 into an equation of the form (𝑥𝑥 − ℎ)^{2 }= 𝑘𝑘 that has the same solutions. Derive the quadratic formula from this form.
b. Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as 𝑎𝑎 + 𝑏𝑏𝑏𝑏 for real numbers 𝑎𝑎 and 𝑏𝑏. (Limit to noncomplex roots.)
A1.AREI.5
Justify that the solution to a system of linear equations is not changed when one of the equations is replaced by a linear combination of the other equation.
A1.AREI.6*
Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: A1.AREI.6a and 6b are not Graduation Standards.)
a. Solve systems of linear equations using the substitution method.
b. Solve systems of linear equations using linear combination.
A1.AREI.10*
Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.
A1.AREI.11*
Solve an equation of the form 𝑓𝑓(𝑥𝑥) = 𝑔𝑔(𝑥𝑥) graphically by identifying the 𝑥𝑥coordinate(s) of the point(s) of intersection of the graphs of 𝑦𝑦 = 𝑓𝑓(𝑥𝑥) and 𝑦𝑦 = 𝑔𝑔(𝑥𝑥). (Limit to linear; quadratic; exponential.)
A1.AREI.12*
Graph the solutions to a linear inequality in two variables.
The student will:
A1.ASE.1*
Interpret the meanings of coefficients, factors, terms, and expressions based on their realworld contexts. Interpret complicated expressions as being composed of simpler expressions. (Limit to linear; quadratic; exponential.)
A1.ASE.2*
Analyze the structure of binomials, trinomials, and other polynomials in order to rewrite equivalent expressions.
A1.ASE.3*
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
a. Find the zeros of a quadratic function by rewriting it in equivalent factored form and explain the connection between the zeros of the function, its linear factors, the xintercepts of its graph, and the solutions to the corresponding quadratic equation.
The student will:
A1.FBF.3* Describe the effect of the transformations 𝑘𝑘𝑓𝑓(𝑥𝑥), 𝑓𝑓(𝑥𝑥) + 𝑘𝑘, 𝑓𝑓(𝑥𝑥 + 𝑘𝑘), and combinations of such transformations on the graph of 𝑦𝑦 = 𝑓𝑓(𝑥𝑥) for any real number 𝑘𝑘. Find the value of 𝑘𝑘 given the graphs and write the equation of a transformed parent function given its graph. (Limit to linear; quadratic; exponential with integer exponents; vertical shift and vertical stretch.)
The student will:
A1.FIF.1*
Extend previous knowledge of a function to apply to general behavior and features of a function.
a. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.
b. Represent a function using function notation and explain that 𝑓𝑓(𝑥𝑥) denotes the output of function 𝑓𝑓 that corresponds to the input 𝑥𝑥.
c. Understand that the graph of a function labeled as 𝑓𝑓 is the set of all ordered pairs (𝑥𝑥, 𝑦𝑦) that satisfy the equation 𝑦𝑦 = 𝑓𝑓(𝑥𝑥).
A1.FIF.2*
Evaluate functions and interpret the meaning of expressions involving function notation from a mathematical perspective and in terms of the context when the function describes a realworld situation.
A1.FIF.4*
Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals where the function is increasing, decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. (Limit to linear; quadratic; exponential.)
A1.FIF.5*
Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. (Limit to linear; quadratic; exponential.)
A1.FIF.6*
Given a function in graphical, symbolic, or tabular form, determine the average rate of change of the function over a specified interval. Interpret the meaning of the average rate of change in a given context. (Limit to linear; quadratic; exponential.)
A1.FIF.7*
Graph functions from their symbolic representations. Indicate key features including intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. Graph simple cases by hand and use technology for complicated cases. (Limit to linear; quadratic; exponential only in the form 𝑦𝑦 = 𝑎𝑎^{𝑥𝑥 }+ 𝑘𝑘.)
A1.FIF.8*
Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Limit to linear; quadratic; exponential.) (Note: A1.FIF.8a is not a Graduation Standard.)
a. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.
A1.FIF.9*
Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal. (Limit to linear; quadratic; exponential.)
The student will:
A1.FLQE.1*
Distinguish between situations that can be modeled with linear functions or exponential functions by recognizing situations in which one quantity changes at a constant rate per unit interval as opposed to those in which a quantity changes by a constant percent rate per unit interval. (Note: A1.FLQE.1a is not a Graduation Standard.)
a. Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.
A1.FLQE.2*
Create symbolic representations of linear and exponential functions, including arithmetic and geometric sequences, given graphs, verbal descriptions, and tables. (Limit to linear; exponential.)
A1.FLQE.3*
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or more generally as a polynomial function.
A1.FLQE.5*
Interpret the parameters in a linear or exponential function in terms of the context. (Limit to linear.)
The student will:
A1.NQ.1* Use units of measurement to guide the solution of multistep tasks. Choose and interpret appropriate labels, units, and scales when constructing graphs and other data displays.
A1.NQ.2* Label and define appropriate quantities in descriptive modeling contexts.
A1.NQ.3* Choose a level of accuracy appropriate to limitations on measurement when reporting quantities in context.
The student will:
A1.NRNS.1* Rewrite expressions involving simple radicals and rational exponents in different forms.
A1.NRNS.2* Use the definition of the meaning of rational exponents to translate between rational exponent and radical forms.
A1.NRNS.3 Explain why the sum or product of rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
The student will:
A1.SPID.6* Using technology, create scatterplots and analyze those plots to compare the fit of linear, quadratic, or exponential models to a given data set. Select the appropriate model, fit a function to the data set, and use the function to solve problems in the context of the data.
A1.SPID.7* Create a linear function to graphically model data from a realworld problem and interpret the meaning of the slope and intercept(s) in the context of the given problem.
A1.SPID.8* Using technology, compute and interpret the correlation coefficient of a linear fit.