Math for College Readiness

COURSE DESCRIPTION

College Readiness Mathematics is a data driven course designed to prepare seniors for college level mathematics, as well as for commonly required college entrance exams. This course utilizes ALEKS (Assessment and Learning in Knowledge Spaces) which is a web-based, artificially intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine exactly what a student knows and doesn't know in a course. ALEKS then instructs the student on the topics he/she is most ready to learn. As a student works through a course, ALEKS periodically reassesses the student to ensure that topics learned are also retained. This ALEKS course is very complete in topic coverage and avoids multiple-choice questions. The teacher will identify individual and class weaknesses from the data gathered from ALEKS to properly guide instruction and activities. The teacher will ensure that students strengthen their understanding of core topics in Algebra, Geometry, and Precalculus. Technology support for ALEKS is available at http://support.aleks.com.

Students will also be assessed using ACCUPLACER which is a suite of tests that determines knowledge in math to prepare for enrollment in college-level courses. ACCUPLACER is used to identify strengths and weaknesses and help improve skills through interactive online learning tools. Many colleges and universities utilize the results of this assessment, in conjunction with academic background, goals and interests to place students in the appropriate college courses that meet their skill level. For this course, all students will initially take the Elementary Algebra ACCUPLACER and either the Arithmetic ACCUPLACER or College-Level Math ACCUPLACER depending on their Algebra ACCUPLACER score. This set of assessments should also be taken at the midpoint and end of a semester. The Middlesex County College Math Placement Rules have been attached for your guidance. http://www.middlesexcc.edu/admit/images/MCC%20Placement%20Rules%20%28As%20of%2010-13-2009%29.pdf

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The teacher must continuously review arithmetic operations without the use of a calculator for proper success on ACCUPLACER exams which do not permit hand held calculator use.

MCC PLACEMENT SCORES

Accuplacer Algebra and Accuplacer CLM (College Level Mathematics)

In addition to the placement rules link from above, more information regarding specific math course placement at Middlesex County college is also included on this page for your guidance.

Math Placement Information

Am I exempt from MAT 010?If your Math Comp score is at least 57 and your Algebra score is at least 40, you may enroll directly in MAT 013 (Algebra I) in the older math grid (prior to 3/10/08).

Do I need to take MAT 014 (ALGEBRA II) or may I take a credit course?If, under the heading of Required Developmental Courses, you see (None) for Algebra, then you will fit into one of the following categories:

IF your curriculum DOES NOT require MAT 014 as a prerequisite for credit courses*, in conjunction with advisement, you may enroll in one of the following credit courses:

MAT 101 (Freshman Mathematics I)MAT 104 (Mathematics for the Elementary School)MAT 107 (Mathematics I)BUS 115 (Mathematics of Finance)

IF your curriculum requires MAT 014 as a prerequisite for credit courses* and if your Algebra placement score was 68-89 and your CLM score was less than 40, you must take MAT 014 in the older math grid (prior to 3/10/08).

IF you do not fit into either of the above categories, then you may take a credit course. Using your placement scores in conjunction with advisement, use the following table to serve as a guide for your first credit math course:

IF you do not fit into either of the above categories, then you may take a credit course. Using your placement scores in conjunction with advisement, use the following table to serve as a guide for your first credit math course:

Recommended Course Placement Test Score

MAT 116 (College Algebra) 76-99 in Algebra and at least 66 in CLM

MAT 123 (Statistics I) 76-99 in Algebra and at least 66 in CLM

MAT 129A (Precalculus I) 76-99 in Algebra and at least 66 in CLM

MAT 129A (Precalculus I) 100 in Algebra and 0-65 in CLM

MAT 129 (Precalculus -one semester) 100 in Algebra and 66-94 in CLM

MAT 131 (Analytic Geom. and Calculus I) 100 in Algebra and at least 95 in CLM

COMMON CORE STATE STANDARDS

The Common Core State Standards for High School Mathematics are infused throughout the lessons provided. They are listed under ALEKS topics with Common Core State Standards for High School beginning with CC. Teachers should feel free to add additional codes as necessary. Detailed descriptions of these standards can be found at http://www.corestandards.org/the-standards/mathematics. In particular, Modeling (noted by * in the CCSS) is defined as both a conceptual category for high school mathematics and a mathematical practice and is an important avenue for motivating students to study mathematics and for preparing them for college and career readiness. Student-centered activities that model multiple standards should be utilized to make connections among topics which are essential for deeper student comprehension of mathematics as a whole.

Copies of these standards can also be found on the District Intranet and in the College Readiness Mathematics Manual.

MODIFICATIONS

Teachers using this manual for classified students can modify the objectives, lessons, and assessments in accordance with each student’s individual needs. These modifications should be stated in the student’s Individualized Educational Program (IEP).

ALEKS Topics: Math for 4-Year College Success Real Numbers

Operations, Substitution, and Evaluation Ordering Integers Plotting integers on a number line Fractional position on a number line Plotting rational numbers on a number line Absolute value of a number Integer addition: Problem type 2 Integer subtraction Integer multiplication and division Order of operations with integers Operations with absolute value Signed fraction addition or subtraction: Basic

Signed fraction addition or subtraction: Advanced Signed fraction multiplication: Advanced Signed decimal addition and subtraction with 3 numbers Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 Exponents and signed fractions Evaluating a linear expression: Integer multiplication with addition or

subtraction Evaluating a quadratic expression: Integers Order of operations with integers and exponents Square root of a perfect square

Number Systems Identifying numbers as integers or non-integers Identifying numbers as rational or irrational CC.N.RN.3

Properties of Real Numbers CC.A.SSE.1, CC.A.APR.1 Distributive property: Whole number coefficients Distributive property: Integer coefficients Combining like terms: Integer coefficients Combining like terms: Advanced Combining like terms in a quadratic expression Properties of addition Properties of real numbers

Solving Linear Equations and Inequalities One Occurrence of the Variable CC.A.REI.1, CC.A.REI.3

Additive property of equality with integers Additive property of equality with a negative coefficient Multiplicative property of equality with whole numbers Multiplicative property of equality with signed fractions Multiplicative property of equality with integers Solving a two-step equation with integers Solving a two-step equation with signed fractions Solving an equation to find the value of an expression CC.A.CED.4

Several Occurrences of the Variable CC.A.REI.1, CC.A.REI.3 Solving a linear equation with several occurrences of the variable:

Variables on the same side and distribution Solving a linear equation with several occurrences of the variable:

Variables on both sides and fractional coefficients Solving a linear equation with several occurrences of the variable:

Variables on both sides and distribution Solving a linear equation with several occurrences of the variable:

Variables on both sides and two distributions

Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators

Solving equations with zero, one, or infinitely many solutions CC.A.CED.3

Introduction to algebraic symbol manipulation Algebraic symbol manipulation: Problem type 1 Algebraic symbol manipulation: Problem type 2

Inequalities CC.A.REI.1, CC.A.REI.3 Solving a linear inequality: Problem type 1 Solving a linear inequality: Problem type 2 Solving a linear inequality: Problem type 3 Solving a linear inequality: Problem type 4 Solving a linear inequality: Problem type 5 Solving a compound linear inequality: Problem type 1 Solving a compound linear inequality: Problem type 2 Graphing a linear inequality on the number line Graphing a compound inequality on the number line

Applications Writing a one-step variable expression for a real-world situation

CC.A.SSE.3 Translating a sentence into a one-step equation CC.A.CED.1 Translating a phrase into a two-step expression CC.A.SSE.3 Writing a multi-step equation for a real-world situation CC.A.CED.1 Solving a fraction word problem using a linear equation of the form Ax =

B CC.A.REI.1

Solving a word problem with two unknowns using a linear equation CC.A.CED.2

Solving a decimal word problem using a linear equation with the variable on both sides CC.A.CED.3

Solving a decimal word problem using a linear equation of the form Ax + B = C

Solving a fraction word problem using a linear equation with the variable on both sides

Solving a word problem with three unknowns using a linear equation CC.A.CED.2, CC.A.CED.3

Solving a value mixture problem using a linear equation CC.A.CED.3 Solving a percent mixture problem using a linear equation CC.A.CED.3 Solving a distance, rate, time problem using a linear equation

CC.A.CED.3 Translating a sentence by using an inequality symbol CC.A.CED.1

Translating a sentence into a compound inequality CC.A.CED.1 Writing a one-step inequality for a real-world situation CC.A.CED.1,

CC.A.CED.3 Writing a multi-step inequality for a real-world situation CC.A.CED.1,

CC.A.CED.3 Word problem with linear inequalities: Problem type 1 CC.A.CED.3 Word problem with linear inequalities: Problem type 2 CC.A.CED.3 Finding the sale price without a calculator given the original price and

percent discount Finding the original price given the sale price and percent discount Finding the percentage increase or decrease: Advanced Computations from a circle graph Computing a percentage from a table of values Finding simple interest without a calculator Compound interest Finding the value for a new score that will yield a given mean Perimeter of a square or a rectangle Sides of polygons having the same perimeter Area of a square or a rectangle Finding the side length of a rectangle given its perimeter or area Finding a side length given the perimeter and side lengths with variables Finding the perimeter or area of a rectangle given one of these values Volume of a rectangular prism Circumference and area of a circle Area between two concentric circles Surface area of a cube or a rectangular prism Surface area of a cylinder Volume of a cylinder Rate of filling of a solid Solving equations involving vertical angles and linear pairs Finding angle measures of a right or isosceles triangle given angles with

variables Absolute Value

Solving an absolute value equation of the form a|x| = b or |x|+a = b Solving an absolute value equation of the form |ax+b| = c Solving an absolute value equation of the form |ax+b| = |cx+d| Solving an absolute value inequality: Advanced Solving an absolute value inequality: Basic

Graphs and Linear Functions Ordered Pairs CC.A.REI.10

Reading a point in the coordinate plane

Plotting a point in the coordinate plane Finding a solution to a linear equation in two variables Determining whether given points lie on one, both, or neither of 2 lines

given equations Graphing Lines CC.A.REI.10

Graphing a line given its x- and y-intercepts Graphing a line given its equation in slope-intercept form Graphing a line given its equation in standard form Graphing a line through a given point with a given slope Graphing a vertical or horizontal line

Equations of Lines CC.A.REI.10 Finding x- and y-intercepts of a line given the equation: Advanced Finding slope given the graph of a line on a grid CC.F.IF.6 Finding slope given two points on the line CC.F.IF.6 Finding the slope of a line given its equation CC.F.IF.6 Writing an equation of a line given the y-intercept and another point Writing the equation of a line given the slope and a point on the line Writing the equation of the line through two given points Writing the equations of vertical and horizontal lines through a given point Writing an equation and drawing its graph to model a real-world situation Application problem with a linear function: Finding a coordinate given the

slope and a point Application problem with a linear function: Finding a coordinate given

two points Finding slopes of lines parallel and perpendicular to a line given in the

form Ax + By = C Writing equations of lines parallel and perpendicular to a given line

through a point Inequalities in Two Variables CC.A.REI.12

Graphing a linear inequality in the plane: Standard form Graphing a linear inequality in the plane: Vertical or horizontal line Graphing a linear inequality in the plane: Slope-intercept form

Sets, Relations, and Functions Sets

Set builder notation Union and intersection of finite sets Set builder and interval notation Union and intersection of intervals

Relations and Functions Table for a linear function CC.F.IF.1 Variable expressions as inputs of functions CC.F.IF.1

Introduction to functions: Notation and graphs CC.F.IF.1 Domain and range from ordered pairs CC.F.IF.1 Domain and range from the graph of a continuous function

CC.F.IF.1 Domain and range from the graph of a piecewise function

CC.F.IF.1 Range of a real-valued function CC.F.IF.2 Identifying functions from relations CC.F.IF.1 Vertical line test CC.F.IF.1 Choosing a graph to fit a narrative : Advanced

Systems of Linear Equations Solving and Graphing

Classifying systems of linear equations from graphs Graphically solving a system of linear equations CC.A.REI.6 Solving a system of linear equations using substitution

CC.A.REI.6 Solving a system of linear equations using elimination with

multiplication and addition CC.A.REI.5, CC.A.REI.6 Solving a system of linear equations that is inconsistent or

consistent dependent CC.A.REI.6 Creating an inconsistent system of linear equations Solving a system of 3 linear equations in 3 unknowns Interpreting the graphs of two functions Graphing a system of two linear inequalities: Basic CC.A.REI.12 Linear programming Solving a word problem using linear programming

Applications CC.A.REI.6 Solving a word problem involving a sum and another simple

relationship using a system of linear equations Solving a value mixture problem using a system of linear equations Solving a distance, rate, time problem using a system of linear

equations Solving a percent mixture problem using a system of linear

equations Solving a tax rate or interest rate problem using a system of linear

equations Solving a word problem using a 3x3 system of linear equations Solving a word problem using a system of linear inequalities

Matrices CC.N.VM.6 Scalar multiplication of a matrix CC.N.VM.7 Addition or subtraction of matrices CC.N.VM.8

Finding the determinant of a 2x2 matrix CC.N.VM.10 Finding the determinant of a 3x3 matrix CC.N.VM.10 Using Cramer's rule to solve a 2x2 system of linear equations

CC.A.REI.6 Using Cramer's rule to solve a 3x3 system of linear equations

CC.A.REI.6 Gauss-Jordan elimination with a 2x2 matrix CC.A.REI.6 Solving a system of linear equations given its augmented matrix

CC.A.REI.6 Exponents and Polynomials

Integer and Rational Exponents Properties of Exponents

Evaluating expressions with exponents of zero Evaluating an expression with a negative exponent:

Positive fraction base Evaluating an expression with a negative exponent:

Negative integer base Rewriting an algebraic expression without a negative

exponent Introduction to the product rule of exponents Product rule with positive exponents: Multivariate Product rule with negative exponents Quotient of expressions involving exponents Quotient rule with negative exponents: Problem type 1 Introduction to the power rules of exponents Power rules with positive exponents Power of a power rule with negative exponents Power rules with negative exponents Power and product rules with positive exponents Power, product, and quotient rules with negative exponents Ordering numbers with positive exponents Ordering numbers with negative exponents

Scientific Notation Scientific notation with positive exponent Scientific notation with negative exponent Multiplying or dividing numbers written in scientific

notation Manipulating Polynomial Expressions CC.A.APR.1

Degree and leading coefficient of a univariate polynomial CC.A.SSE.1

Degree of a multivariate polynomial CC.A.SSE.1

Simplifying a sum or difference of two univariate polynomials Simplifying a sum or difference of three univariate polynomials Multiplying a univariate polynomial by a monomial with a positive

coefficient Multiplying a multivariate polynomial by a monomial Multiplying binomials with leading coefficients of 1 Squaring a binomial: Univariate Multiplying conjugate binomials: Univariate Multiplying binomials in two variables Multiplication involving binomials and trinomials in two variables Dividing a polynomial by a monomial: Univariate Dividing a polynomial by a monomial: Multivariate Polynomial long division: Problem type 1 CC.A.APR.2 Polynomial long division: Problem type 2 CC.A.APR.2 Polynomial long division: Problem type 3 CC.A.APR.2 Synthetic division CC.A.APR.2

Factoring Quadratic Polynomials

Factoring a quadratic with leading coefficient 1 CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a

Factoring a quadratic with leading coefficient greater than 1 CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a

Factoring a quadratic in two variables with leading coefficient greater than 1 CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a

Factoring a perfect square trinomial CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a

Factoring a product of a quadratic trinomial and a monomial CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a

Finding the roots of a quadratic equation with leading coefficient 1 CC.A.SSE.3a, CC.A.APR.3

Finding the roots of a quadratic equation with leading coefficient greater than 1 CC.A.SSE.3a, CC.A.APR.3

Solving a quadratic equation needing simplification CC.A.SSE.3a, CC.A.APR.3

Solving an equation written in factored form CC.A.SSE.3a, CC.A.APR.3

Roots of a product of polynomials CC.A.SSE.3a, CC.A.APR.3

Solving a word problem using a quadratic equation with rational roots CC.A.SSE.3a, CC.A.APR.3

Writing a quadratic equation given the roots and the leading coefficient

Special Formulas CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a Factoring a difference of squares Factoring with repeated use of the difference of squares

formula Factoring a sum or difference of two cubes

Multivariable Polynomials CC.A.SSE.1, CC.A.SSE.2, CC.A.SSE.3a

Introduction to the GCF of two monomials Greatest common factor of two multivariate monomials Introduction to the LCM of two monomials Least common multiple of two monomials Factoring out a monomial from a polynomial: Univariate Factoring out a monomial from a polynomial: Multivariate Factoring a polynomial by grouping: Problem type 1 Factoring a polynomial by grouping: Problem type 2

Rational Expressions and Functions Simplifying Expressions CC.A.APR.7

Multiplying rational expressions involving multivariate monomials Multiplying rational expressions involving quadratics with leading

coefficients of 1 Dividing rational expressions involving multivariate monomials Dividing rational expressions involving quadratics with leading

coefficients of 1 Complex fraction without variables: Problem type 1 Complex fraction without variables: Problem type 2 Complex fraction involving multivariate monomials Complex fraction that contains a complex fraction Complex fraction: GCF and quadratic factoring Complex fraction made of sums involving rational expressions Adding rational expressions with common denominators and

binomial numerators Adding rational expressions with different denominators: ax, bx Adding rational expressions with multivariate monomial

denominators: Advanced Adding rational expressions with different denominators: x+a, x+b Adding rational expressions involving different quadratic

denominators Simplifying a ratio of multivariate polynomials CC.A.SSE.2 Simplifying a ratio of polynomials: Problem type 1 CC.A.SSE.2

Simplifying a ratio of polynomials: Problem type 2 CC.A.SSE.2 Solving Equations CC.A.REI.1, CCA.REI.2

Domain of a rational function CC.F.IF.5 Solving a rational equation that simplifies to linear: Denominator x Solving a rational equation that simplifies to linear: Denominator

x+a Solving a rational equation that simplifies to linear: Unlike

binomial denominators Solving a rational equation that simplifies to linear: Denominators

a, x, or ax Solving a rational equation that simplifies to quadratic: Binomial

denominators, constant numerators Solving a rational equation that simplifies to quadratic: Binomial

denominators and numerators Solving a rational equation that simplifies to quadratic:

Proportional form, advanced Solving a rational inequality: Problem type 1

Graphing CC.F.IF.7d Graphing a rational function: Problem type 1

Applications CC.A.REI.1, CCA.REI.2 Solving a word problem involving rates and time conversion Finding unit rates Solving a proportion of the form (x+a)/b = x/c Word problem on proportions: Problem type 1 Word problem on proportions: Problem type 2 Word problem involving multiple rates Solving a work problem using a rational equation

Direct and Inverse Variations CC.A.REI.1, CC.A.REI.3 Ordering fractions with variables Word problem on inverse proportions Similar polygons CC.G.SRT.2 Word problem on direct variation Word problem on inverse variation Word problem on combined variation Ratio of volumes Circumference ratios

Radicals and Quadratic Equations Radicals and Rational Exponents

Simplifying Expressions CC.N.RN.1, CC.N.RN.2 Square root of a rational perfect square

Simplifying the square root of a whole number less than 100

Square root of a perfect square monomial Simplifying a radical expression with an even exponent Simplifying a radical expression with two variables Square root addition or subtraction Simplifying a sum or difference of radical expressions:

Multivariate Square root multiplication: Advanced Simplifying a product of radical expressions: Multivariate Simplifying a product of radical expressions: Multivariate,

fractional expressions Simplifying a product involving square roots using the

distributive property: Advanced Special products of radical expressions: Conjugates and

squaring Rationalizing the denominator of a radical expression Rationalizing the denominator of a radical expression using

conjugates Solving Equations

Pythagorean Theorem CC.A.REI.4b Solving a radical equation that simplifies to a linear

equation: One radicalCC.A.REI.2, CC.A.REI.3

Solving a radical equation that simplifies to a linear equation: Two radicals CC.A.REI.2, CC.A.REI.3Solving a radical equation that simplifies to a quadratic equation: One radical CC.A.REI.2, CC.A.REI.4b

Solving a radical equation that simplifies to a quadratic equation: Two radicals CC.A.REI.2, CC.A.REI.4b

Solving an equation with a root index greater than 2 CC.A.REI.2

Higher Roots Cube root of an integer CC.N.RN.1 Simplifying a higher root of a whole number CC.N.RN.1 Simplifying a higher radical expression: Multivariate

CC.N.RN.1 Rationalizing a denominator: Quotient involving higher

radicals and monomials CC.N.RN.2

Simplifying products or quotients of higher radicals with different indices: Multivariate CC.N.RN.2

Solving an equation using the odd-root property: Problem type 1 CC.A.REI.2

Solving an equation using the odd-root property: Problem type 2 CC.A.REI.2

Rational Exponents CC.N.RN.1, CC.N.RN.2 Rational exponents: Non-unit fraction exponent with a

whole number base Rational exponents: Negative exponents and fractional

bases Rational exponents: Products and quotients with negative

exponents Rational exponents: Powers of powers with negative

exponents Converting between radical form and exponent form Solving an equation with positive rational exponent

CC.A.REI.1 Solving an equation with negative rational exponent

CC.A.REI.1 Complex Numbers CC.N.CN.1, CC.N.CN.2, CC.N.CN.3

Using i to rewrite square roots of negative numbers Simplifying a product and quotient involving square roots of

negative numbers Adding or subtracting complex numbers Multiplying complex numbers Dividing complex numbers Simplifying a power of i

Quadratic Equations Solving Equations

Solving a quadratic equation using the square root property: Problem type 1 CC.A.REI.4b

Solving a quadratic equation using the square root property: Problem type 2 CC.A.REI.4b

Completing the square CC.A.REI.4a, CC.A.REI.4b Solving a quadratic equation by completing the square

CC.A.REI.4b Applying the quadratic formula: Exact answers

CC.A.REI.4b Solving a quadratic equation with complex roots

CC.N.CN.7, CC.A.REI.4b

Discriminant of a quadratic equation Discriminant of a quadratic equation with parameter

Applications Solving a word problem using a quadratic equation with

irrational roots CC.A.REI.4b Word problem involving the maximum or minimum of a

quadratic function CC.A.SSE.3b, CC.F.IF.7a Solving an equation that can be written in quadratic form:

Problem type 1 CC.REI.4b Solving an equation that can be written in quadratic form:

Problem type 2 CC.REI.4b Solving a quadratic inequality written in factored form Solving a quadratic inequality

Parabolas CC.F.IF.7a Graphing a parabola of the form y = ax2

Graphing a parabola of the form y = (x-a)2 + c Graphing a parabola of the form y = ax2 + bx + c Finding the x-intercept(s) and the vertex of a parabola How the leading coefficient affects the shape of a parabola Graphing a quadratic inequality

Functions and Logarithms Functions

Classifying the graph of a function CC.F.IF.7 Sum, difference, and product of two functions CC.F.BF.1b Quotient of two functions CC.F.BF.1b Domain of a square root function CC.F.IF.5 Writing an equation for a function after a vertical translation

CC.F.BF.3 Writing an equation for a function after a vertical and horizontal

translation CC.F.BF.3 Horizontal line test CC.F.IF.1 Inverse functions: Problem type 1 CC.F.BF.4 Inverse functions: Problem type 2 CC.F.BF.4 Composition of two functions: Domain and range CC.F.BF.1c Composition of two functions: Basic CC.F.BF.1c Composition of two functions: Advanced CC.F.BF.1c Evaluating a piecewise-defined function CC.F.IF.2 Graphing a piecewise-defined function CC.F.IF.7b

Laws of Logarithms Converting between logarithmic and exponential equations

CC.F.BF.5

Evaluating a logarithmic expression CC.F.BF.5 Basic properties of logarithms CC.F.IF.8 Writing an expression as a single logarithm CC.F.IF.8 Change of base for logarithms: Problem type 1 CC.F.IF.8 Change of base for logarithms: Problem type 2 CC.F.IF.8

Solving Equations CC.F.BF.5 Solving an equation of the form log ba = c Solving an equation involving logarithms on both sides: Problem

type 2 Solving an exponential equation by using logarithms: Exact

answers in logarithmic form Solving an exponential equation by finding common bases: Linear

and quadratic exponents Solving exponential equations by using logarithms and natural

logarithms: Decimal answers Finding a final amount in a word problem on exponential growth

or decay CC.F.IF.8b Finding the time to reach a limit in a word problem on exponential

growth or decay CC.F.IF.8b Finding the initial or final amount in a word problem on

exponential growth or decay CC.F.IF.8b Finding the rate or time in a word problem on exponential growth

or decay CC.F.IF.8b Graphing

Graphing a cubic function of the form y = ax3 CC.F.IF.7c

Graphing an absolute value equation in the plane: Advanced CC.F.IF.7b

Graphing an exponential function and its asymptote: f(x) = a(b)x CC.F.IF.7e

Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c CC.F.IF.7e

Graphing a logarithmic function: Basic CC.F.IF.7e Graphing a logarithmic function: Advanced CC.F.IF.7e Translating the graph of a logarithmic or exponential function

CC.F.BF.3 Conic Sections and Sequences

Conic Sections Distance and Midpoint Formulas

Midpoint of a line segment in the plane Distance between two points in the plane

Parabola Graphing a parabola with a horizontal or a vertical axis

CC.F.IF.7a Writing an equation of a parabola given the vertex and the

focus CC.A.CED.1, CC.A.CED.2, CC.G.GPE.2 Finding the focus of a parabola CC.F.IF.7a

Circle Graphing a circle given its equation in standard form

CC.A.REI.10 Graphing a circle given its equation in general form

CC.G.GPE.1, CC.A.REI.10 Writing an equation of a circle given its center and a point

on the circle CC.G.GPE.1 Writing an equation of a circle given the endpoints of a

diameter CC.G.GPE.1 Ellipse CC.G.GPE.3, CC.A.REI.10

Graphing an ellipse centered at the origin: Ax2 + By2 = C Graphing an ellipse given its equation in standard form Graphing an ellipse given its equation in general form

Hyperbola CC.G.GPE.3, CC.A.REI.10 Graphing a hyperbola centered at the origin: Ax2 + By2 - C

= 0 Graphing a hyperbola given its equation in standard form Graphing a hyperbola given its equation in general form

Systems of Nonlinear Equations Solving a system of nonlinear equations CC.A.REI.7 Graphing a system of nonlinear inequalities: Problem type

1 CC.A.REI.12 Graphing a system of nonlinear inequalities: Problem type

2 CC.A.REI.12 Classifying conics given their equations

Sequences and Series Finding the first terms of a sequence using an explicit rule with

multiple occurrences of n Finding a specified term of an arithmetic sequence given two terms

of the sequence Finding a specified term of a geometric sequence given two terms

of the sequence Sum of the first n terms of an arithmetic sequence Sum of the first n terms of a geometric sequence Sum of an infinite geometric series

Factorial expressions Binomial formula