Elementary Problem Solving II

Course Description

Description

CTY's Problem Solving and Enrichment Math courses sharpen investigative skills, broaden mathematical understanding of concepts, and enhance reasoning skills. Designed around performance objectives that reflect national and state mathematical standards, these courses demonstrate how mathematical issues arise out of real-life situations. Concepts are assessed through challenging quizzes and module tests. With the guidance of their instructors, students typically select enrichment or supplementary math courses of the appropriate level in between their accelerated  courses to ensure a solid foundation and mastery of math concepts at each level.

Elementary Problem Solving II focuses on arithmetic and the number operations typically included in the math curricula for accelerated grades 3 and 4. Students investigate numbers and number sense, operations with numbers, decimals, geometry, and data analysis and probability. Common factors, prime and composite numbers, two digit multipliers and divisors, improper fractions and mixed numbers, quotients and remainders, ratios and percents, geometrical figures, the coordinate plane, symmetry, and transformations are some of the topics studied. Unit reviews and regular assessments serve as a guide to review and complete mastery of concepts. This course provides a solid foundation for students who will be advancing into grade 4 or 5 mathematics.

Materials Needed

There are no required materials for this course.

List of Topics

Module 1: Numbers and Number Sense

Large and Small Numbers

• Whole numbers to One Million
• Ordering and Rounding Whole Numbers
• Negative Whole Number

Numbers as Factors

• Finding Factors
• Prime and Composite Numbers
• Identifying Common Factor

Module 2: Operations with Numbers

Addition and Subtraction of Whole Numbers

• Whole Number Sums
• Differences Between Large Number

The Integers

• Integer Sums
• Differences Between Integers

Multiplication and Division of Whole Numbers

• Two-digit Multipliers
• Introduction to Long Division
• Two Digit Divisors

Module 3: Fractions

Proper and Improper Fractions

• Proper Fractions
• Improper Fractions
• Equivalent Fractions
• Ordering and Rounding Fractions

Addition and Subtraction

• Sums involving Like Denominators
• Differences involving Like Denominators
• Working with Unlike Denominators

Multiplication and Division

• Finding Products
• Quotients and Remainders

Module 4: Decimals

Introduction

• Tenths, Hundredths, and Thousandths
• Ordering and Rounding
• Ratios, Decimals and Percents

Addition and Subtraction

• Adding Decimals
• Subtracting Decimals

Multiplication and Division

• Multiplying Decimals
• Dividing Decimals by Whole Numbers

Module 5: Geometry

Measurement

• Lines, Angles, and Circles
• Rectangles and Squares
• Triangles
• Parallelograms and Trapezoids

Coordinate Geometry and Algebra

• The Coordinate Plane
• Symmetry and Transformations

Module 6: Data Analysis and Probability

Modeling and Displaying Events

• Displaying and Analyzing Data
• Looking at Chance

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System Requirements

CTYOnline courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer) with the Adobe Flash plugin. Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

This course requires high-speed Internet access (such as Cable or DSL) for online lesson videos. Your browser will need to allow javascript, login cookies, and popup windows from ctyjhu.org, bluejay.cty.jhu.edu, and any other course web sites.

This course uses an online mathematical whiteboard for individual or group discussions with the instructor. The whiteboard web site requires cookies, popup windows, and the Java Runtime Environment. (Note: iOS & Android devices cannot run Java applets.)