Arithmetic

➗ Online Arithmetic Course – Overview

Course Title: Basic Arithmetic Foundations
Format: Fully Online (self-paced or instructor-led)
Duration: 6–10 weeks (adjustable)
Level: Middle school, adult basic education, GED prep
Prerequisites: None – entry-level math skills

🎯 Course Purpose

This course is designed to build strong foundational skills in basic arithmetic. Students will practice operations with whole numbers, fractions, decimals, and percentages while developing confidence in problem-solving and number sense for real-life use or further study in Algebra.

🧠 Learning Objectives

By the end of the course, students will be able to:

• Perform accurate calculations with whole numbers, decimals, and fractions

• Understand place value and number properties

• Convert between fractions, decimals, and percentages

• Use arithmetic in everyday problem-solving situations (money, time, measurement)

• Build number fluency and prepare for higher-level math

📝 Course Content Breakdown

Module 1: Whole Numbers and Place Value

• Understanding numbers and digits

• Place value and rounding

• Comparing and ordering numbers

• Estimating and mental math

Module 2: Basic Operations with Whole Numbers

• Addition, subtraction, multiplication, division

• Properties of operations (commutative, associative, distributive)

• Multi-digit operations and word problems

• Order of operations (PEMDAS)

Module 3: Introduction to Fractions

• What are fractions?

• Equivalent fractions and simplifying

• Comparing and ordering fractions

• Adding and subtracting like/unlike fractions

Module 4: Multiplying and Dividing Fractions

• Multiplying fractions and mixed numbers

• Dividing fractions

• Fraction word problems

• Converting between mixed numbers and improper fractions

Module 5: Decimals

• Place value with decimals

• Adding, subtracting, multiplying, and dividing decimals

• Rounding and estimating decimals

• Comparing decimals

Module 6: Percents

• Understanding percent as “per hundred”

• Converting between fractions, decimals, and percents

• Finding percentages of numbers

• Real-life percent applications (sales, tax, tips)

Module 7: Ratios, Rates, and Proportions

• Writing and simplifying ratios

• Finding unit rates

• Solving proportions

• Real-world applications (recipes, maps, scaling)

Module 8: Measurement and Time

• Units of measurement (metric and customary)

• Reading clocks and calendars

• Perimeter, area, and volume basics

• Word problems using time and measurement