Elementary Problem Solving I

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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.

In Elementary Problem Solving I, students work with place value and use online manipulatives to name and represent numbers up to 1,000. They add, subtract, multiply, and divide whole numbers, and investigate simple fractions. They explore volume, area, money, temperature, and time. Students also investigate relational ideas in algebra using number sentences, tables, and linear patterns. This course provides a solid foundation for students who will be advancing into either grade 2 or 3 mathematics.

Materials Needed

There are no required materials for this course.

List of Topics

Module 1: Number Sense

Numbers to 999

• Counting by Grouping
• Place Value: Tens and Ones
• Place Value: Hundreds, Tens, and Ones
• Expanded Form and Equivalent Representations of a Number
• Comparing and Ordering

Numbers to 9,999

• Place Value: Thousands, Hundreds, Tens, and Ones
• Comparing and Ordering

Module 2: Operations With Numbers

Addition and Subtraction

• Sums Less Than 100
• Estimating and Finding Sums Less Than 1,000
• Differences within 100
• Estimating and Finding Differences within 1,000
• Estimating and Finding Differences within 9,999

Multiplication

• Repeated Addition and Arrays
• Skip-Counting to Show Multiplication
• Finding Products Less Than 100

Division

• Meaning of Division
• Dividing by a 1-digit Number
• Fractional Parts

Module 3: Geometry And Measurement

Geometry

• Area
• Volume

Measurement

• Time
• Money
• Temperature

Module 4: Algebraic Thinking

Properties and Relationships

• Number Patterns and Properties

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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.)