**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

.

**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 least66**in CLM

MAT 123 (Statistics I) /

**76-99 in Algebra and at least66**in CLM

MAT 129A (PrecalculusI) /

**76-99 in Algebraand at least66**in CLM

MAT 129A (Precalculus I) /

**100 in Algebraand**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