Basic Math Course
Build a rock-solid maths foundation from whole numbers all the way through introductory algebra. This course covers every essential skill — fractions, decimals, percentages, ratios, and more — with clear explanations and practical examples. Whether you are brushing up or starting fresh, you will finish with the confidence to handle real-world maths problems without hesitation.
What you will learn:
In this course, you will master the core maths skills that show up in everyday life, on the job, and in further academic study. You will work through whole numbers, integers, fractions, decimals, and percentages, then move into ratios, proportions, and basic algebra. Each topic builds directly on the one before it, so nothing feels out of place. You will also develop mental maths strategies, learn to use calculators correctly, and practise interpreting data from charts and tables. By the end, you will be able to solve multi-step problems and explain your reasoning clearly.
How you study in practice Basic Math Course
How you practise Basic Math Course
For companies looking to train their teams
With Elevify for businesses, the course includes exercises and examples tailored to your company and its specific needs.
Course content
8 Chapters • 39 LessonsDuration between 4 and 360 hours (you decide)
Chapter 1HideHide detailsSee detailsNumbers and the Number System
Numbers and the Number System
Lesson 1 • Understanding Whole Numbers
Introduces counting, number names, and digit meaning. Establishes the foundation for all arithmetic operations in later chapters.
Lesson 2 • Place Value and Positional Notation
Explains how digit position determines value in base-ten. Directly supports multi-digit addition and subtraction introduced next.
Lesson 3 • Negative Numbers and Integers
Extends the number line below zero and defines integers. Prepares learners for signed-number arithmetic in later sections.
Lesson 4 • Factors, Multiples, and Divisibility
Covers divisibility rules, prime and composite numbers, and factor pairs. Builds prerequisite knowledge for fractions and ratios.
Chapter 2HideHide detailsSee detailsAddition and Subtraction Mastery
Addition and Subtraction Mastery
Lesson 1 • Multi-Digit Subtraction with Borrowing
Applies regrouping in reverse to subtract large numbers accurately. Directly extends multi-digit addition skills.
Lesson 2 • Addition Concepts and Strategies
Teaches the meaning of addition and mental maths strategies. Connects to place value knowledge from Chapter 1.
Lesson 3 • Subtraction Concepts and Strategies
Defines subtraction as difference and inverse of addition. Builds on addition fluency to develop efficient subtraction methods.
Lesson 4 • Adding and Subtracting Integers
Extends operations to signed numbers using number-line reasoning. Connects integer concepts from Chapter 1 to arithmetic practice.
Lesson 5 • Multi-Digit Addition with Regrouping
Applies place value to add numbers requiring carrying. Reinforces positional notation and prepares learners for subtraction.
Chapter 3HideHide detailsSee detailsMultiplication and Its Properties
Multiplication and Its Properties
Lesson 1 • Multiplying Integers and Signed Numbers
Extends multiplication rules to negative numbers using sign patterns. Builds on integer concepts established in earlier chapters.
Lesson 2 • Multiplication Facts and Fluency
Builds automatic recall of single-digit products through structured practice. Fluency here is prerequisite for multi-digit algorithms.
Lesson 3 • Meaning and Models of Multiplication
Defines multiplication as repeated addition and equal groups. Grounds abstract facts in concrete visual models.
Lesson 4 • Multi-Digit Multiplication Algorithms
Applies place value and properties to multiply large numbers. Extends single-digit fluency to the standard algorithm.
Lesson 5 • Properties of Multiplication
Covers commutative, associative, and distributive properties. These properties underpin mental maths and algebraic thinking introduced later.
Chapter 4HideHide detailsSee detailsDivision Concepts and Techniques
Division Concepts and Techniques
Lesson 1 • Meaning and Models of Division
Defines division as fair sharing and repeated subtraction. Connects directly to multiplication as its inverse operation.
Lesson 2 • Long Division Algorithm
Teaches the step-by-step long division procedure for multi-digit divisors. Synthesises multiplication and subtraction skills from prior chapters.
Lesson 3 • Basic Division Facts and Fluency
Builds recall of division facts derived from multiplication tables. Fluency supports efficient long division in later sections.
Lesson 4 • Remainders and Their Meaning
Explains when division is not exact and how to express remainders. Prepares learners for fraction and decimal representations.
Lesson 5 • Dividing Integers and Signed Numbers
Applies sign rules to division of negative numbers. Completes the four-operation framework for integers.
Chapter 5HideHide detailsSee detailsFractions and Rational Numbers
Fractions and Rational Numbers
Lesson 1 • Fraction Concepts and Representations
Defines fractions as parts of a whole and points on a number line. Connects to division and place value from earlier chapters.
Lesson 2 • Comparing and Ordering Fractions
Develops strategies to compare fractions with unlike denominators. Reinforces equivalent fraction skills and prepares for addition.
Lesson 3 • Multiplying and Dividing Fractions
Covers fraction multiplication and reciprocal-based division. Extends whole-number operation skills to rational numbers.
Lesson 4 • Adding and Subtracting Fractions
Teaches fraction addition and subtraction with like and unlike denominators. Builds directly on equivalent fraction and LCM knowledge.
Lesson 5 • Mixed Numbers and Improper Fractions
Converts between mixed numbers and improper fractions for computation. Completes fraction fluency needed for decimals and ratios.
Chapter 6HideHide detailsSee detailsDecimals and Percentages
Decimals and Percentages
Lesson 1 • Fraction-Decimal-Percent Conversions
Builds fluency converting among three equivalent representations. Prepares learners for percent calculations and ratio reasoning.
Lesson 2 • Decimal Operations
Applies addition, subtraction, multiplication, and division to decimals. Reinforces alignment of place values during computation.
Lesson 3 • Decimal Place Value and Notation
Extends place value beyond the decimal point to tenths, hundredths, and thousandths. Directly links fraction knowledge to decimal form.
Lesson 4 • Practical Decimal and Percent Problems
Applies decimal and percent skills to real-world multi-step scenarios. Synthesizes all skills from this chapter in applied contexts.
Lesson 5 • Percent Calculations
Teaches finding a percent of a number, percent change, and unknown base. Applies conversion fluency to practical quantitative problems.
Chapter 7HideHide detailsSee detailsRatios, Proportions, and Rates
Ratios, Proportions, and Rates
Lesson 1 • Setting Up and Solving Proportions
Teaches cross-multiplication and scaling methods to solve proportions. Extends ratio and fraction skills to unknown-quantity problems.
Lesson 2 • Unit Rates and Rate Reasoning
Introduces rates as ratios with different units and isolates unit rates. Builds the foundation for proportional problem solving.
Lesson 3 • Applied Ratio and Proportion Problems
Solves scale drawings, map problems, and mixture scenarios using proportions. Synthesises all ratio skills in multi-step applied contexts.
Lesson 4 • Introduction to Ratios
Defines ratios as comparisons of two quantities in multiple notations. Connects fraction knowledge to ratio representation.
Lesson 5 • Proportional Relationships and Graphs
Represents proportional relationships as equations and straight-line graphs. Bridges arithmetic reasoning to early algebraic thinking.
Chapter 8HideHide detailsSee detailsIntroduction to Algebra and Problem Solving
Introduction to Algebra and Problem Solving
Lesson 1 • Word Problems and Problem-Solving Strategies
Translates real-world scenarios into equations and solves systematically. Synthesises all course skills in structured problem-solving frameworks.
Lesson 2 • Solving Multi-Step Linear Equations
Extends one-step solving to equations requiring multiple inverse operations. Reinforces fraction and integer arithmetic in algebraic contexts.
Lesson 3 • Inequalities and Their Solutions
Introduces inequality symbols and solution sets on a number line. Extends equation-solving logic to ranges of values.
Lesson 4 • Equations and Equality
Defines equations as balanced statements and introduces inverse operations for solving. Builds on all four arithmetic operations from prior chapters.
Lesson 5 • Variables, Expressions, and Notation
Introduces variables as unknown quantities and builds algebraic expression notation. Connects arithmetic operations to symbolic representation.
Your valid completion certificate
This course is for you:
Career changer: needs maths skills to qualify for a new trade or field.
Returning adult learner: re-entering school after years away from academics.
Small business owner: managing finances without a strong arithmetic background.
Healthcare aide: required to pass a dosage calculation or certification exam.
Parent: wants to understand the maths their middle schooler is bringing home.
Office professional: struggling to work confidently with spreadsheets and numerical reports.
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