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Problem Solving in Arithmetic
In Problem Solving in Arithmetic, topics are presented in a motivational context that demonstrates how mathematical issues arise out of reallife situations. Within these contexts, students investigate properties of fractions, decimals, percents, and integers, and explore the rules that govern their operations. This course focuses on arithmetic and the numbers and operations typically included in the middle school math curriculum.
Scope and Sequence for Problem Solving in Arithmetic
Module 1: Fractions
Essentials of Fractions
 Recognizing a Fraction
 Exploring Proper and Improper Fractions
 Working with Mixed Numbers
Equivalent Fractions
 Identifying the Factors of a Number
 Expressing Fractions in Lowest Terms
 Writing and Comparing Equivalent Fractions
Multiplying Fractions
 Finding Products of Fractions, Whole Numbers, and Mixed Numbers
 Using the GCF in Finding Products
 Representing Multiplication
Dividing Fractions
 Estimating Quotients of Fractions
 Using Multiplicative Inverses
 Solving Missing Value Problems when Dividing Fractions
Adding Fractions
 Adding with Like Denominators
 Adding with Unlike Denominators
 Solving Missing Value Problems when Adding Fractions
Subtracting Fractions
 Subtracting with Like Denominators
 Subtracting with Unlike Denominators
 Solving Missing Value Problems when Subtracting Fractions
Module 2: Decimals
Essentials of Decimals
 Investigating Decimal Place Values
 Rounding Decimals
 Exploring Repeating and Terminating Decimals
Adding and Subtracting Decimals
 Using Place Value Grids
 Regrouping with Whole Numbers
 Regrouping to Hundredths
Multiplying Decimals
 Multiplying Decimals by Powers of 10
 Calculating Products
 Finding the Volume of a Prism
Dividing Decimals
 Dividing Decimals
 Estimating and Finding Quotients
 Dividing by Powers of 10
Module 3: Percents
Essentials of Percents
 Investigating the Meaning of Percent
 Expressing Percents as Proper Fractions
 Expressing Percents Greater than 100% as Improper Fractions
Finding Percents of Quantities
 Finding Percents of a Whole
 Expressing Ratios as Percents
 Calculating the Whole from a Part and a Percent
Increasing and Decreasing Percents
 Calculating Percent Increases
 Calculating Percent Decreases
 Calculating Simple Interest
Module 4: Integers and Order of Operations
Adding and Subtracting Signed Numbers
 Exploring the Number Line and Absolute Value
 Adding with Absolute Value
 Subtracting with Absolute Value
Multiplying and Dividing Signed Numbers
 Finding Products of Signed Numbers
 Representing the Multiplication of Signed Numbers
 Finding Quotients Using Reciprocals
Order of Operations
 Simplifying Expressions
 Introducing the Distributive Property
 Using Grouping Symbols
Course Management and Assessment
Students are evaluated by a series of Unit Quizzes, Module Tests and a comprehensive Final Exam. Our CTY Distance Education Quiz Corner tests and tracks students progress. Tutors monitor the progress of each student by reviewing and responding to work and maintaining communication via email, phone and the online whiteboard. When necessary, tutors may also refer students to the Distance Math Program Web site for additional online resources
Homework
Students in the Problem Solving Series of courses receive Print Activities with their course materials. Print Activities provide reinforcement and help to promote concept retention for each module of the software. Students are not required to complete the activities, but we highly recommend that they do. Students are able to check their work using the answer key provided.
Unit Quizzes and Module Tests
Student progress is evaluated through the CTY Distance Education Quiz Corner. Unit Quizzes are to be completed after each Unit. Your score on the Unit Quizzes is automatically emailed to your tutor. The tutor responds via email with help on difficult concepts or trouble areas. Module Tests are another important assessment tool. Students log onto Quiz Corner to print the Module Test, then complete the test and fax or mail the completed test to the tutor. Tutors provide feedback, as necessary.
Final Exam
All students are required to take a paper and pencil Final Exam. As a student nears the completion of a course, the tutor will send the final exam via email (pdf), fax, or the student can download the final from the course website. Students should plan ahead for review and make use of the tutor for feedback and review suggestions. Students often require more tutorial support during the time when they are studying for the final than at any other point in the course. We strongly encourage students to utilize and stay in contact with their tutor during final exam preparation. Each test is given a percentage score, and students will receive an email containing their score.
Grading Policy
Score (%)  Letter Grade  

Final Exam Form A  98 +  A+ 
93  97  A  
90  92  A  
87  89  B+  
85  86  B  
below 85  Take Form B  
Final Exam Form B  85 +  B 
below 85  Course Completion documents not issued. Statement of Participation will be issued upon request. 
With a passing grade (B or better) course completion documents are mailed. These include a copy of the scope and sequence for the course, an assessment of the students work by the tutor, and a course completion certificate.
If a student scores below an 85% on Final Form A then the student will have the oppurtunity to take Form B of the Final Exam. The highest grade, regardless of the percent scored, that a student can achieve when taking Form B of the Final Exam is a B for the course
If a student scores below an 85% on the Final Form B, a statement of participation, rather than Final Course Completion documents, will be issued upon request.