Arithmetic

Catalogue Description: The included content is designed to lead students through arithmetic, from a multiple representation approach, and to develop a deep understanding of the concepts associated with number and operations. The use of calculators is discouraged. Writing assignments, as appropriate to the discipline, are part of the course. The included curriculum is broken into 12 units.

Students the Course is Expected to Serve: This course is intended for students who lack strong skills in arithmetic or desire a review of the subject matter.

Course Objectives:

1. Understand and make connections between arithmetic operations and properties of numbers.
2. Develop the number sense skills necessary for problem solving.
3. Develop the ability to perform computations without the use of technological or computer aids.
4. Write and communicate the results of problem solving appropriately.

Student Learning Outcomes: Upon satisfactory completion of the course, students will be able to:

A. Demonstrate the order relations on the set of real numbers and be able to illustrate them on the real number line.
B. Understand and apply properties of arithmetic operations.
C. Perform operations on signed numbers (Introduction).
D. Perform operations on various forms of numbers (fractions, mixed numbers, decimals, and percentages).
E. Recognize and use positive integer exponents.
F. Use order of operations to evaluate numerical expressions.
G. Translate verbal expressions into numerical expressions and vice versa.
H. Formulate and apply concepts of ratio and proportion to multiple contextual situations.
I. Formulate and apply concepts involving various forms of numbers, including fractions, mixed numbers, decimals, and percentages.
J. Formulate and apply concepts involving measurement, including the conversion between different units to multiple contextual situations(Introduction).
K. Formulate and apply concepts involving estimation and rounding to multiple contextual situations.

Topical Outline: The course will cover the following topics:

1. Whole Numbers
2. Introduction to Fractions
3. Fraction Addition and Subtraction
4. Fraction Multiplication and Division
5. Decimals
6. Percents
7. Ratios, Rates, and Proportions
8. Statistics
9. Units and Conversions
10. Geometry I: Perimeter and Area
11. Geometry II: Volumes and Triangles
12. Signed Numbers

A more detailed breakdown of topics and curriculum outline can be found here.