Step by Step Math Lessons

Our math lessons are designed to make math meaningful to the student. They will guide learners through mathematical concepts, breaking down each step in a clear and understandable manner. They provide a structured approach to learning math, ensuring comprehensive understanding and proficiency. Each math lesson provides in-depth instruction ideal for learners of all ages and abilities. Choose a topic below to start your adventure.

Arithmetic Sequence Formula	Linear Equations
Associative Property	Logic
Circumference and Area of Circles	Mean Absolute Deviation
Commutative Property	Mean Median Mode
Consumer Math	Percentages
Data and Graphs	Perimeter and Area
Decimals – Add and Subtract	Perpendicular Lines
Decimals – Multiply and Divide	Place Values
Decimals – How to Multiply	Point Slope Form
Distributive Property	Pre-Algebra
Elementary Math	Probability
Exponents	Pythagorean Identities
Equations – Solving Single and Double Steps	Pythagorean Theorem
Fractions Introduction	Rate of Change
Fractions and Mixed Numbers – Add and Subtract	Rounding
Fractions and Mixed Numbers – Multiply and Divide	Sets and Set Theory
Fractions – Adding Unlike Denominators	Special Right Triangle
Fractions – Improper Fractions	Volume of a Triangular Pyramid
Integer Properties

Solutions: Introduction to Fractions

Introduction to Fractions A fraction is the number of shaded parts, divided by the number of equal parts. There are 3 shaded parts and 5 equal parts in this rectangle, so the answer is three-fifths. There are 5 shaded parts and 8 equal parts in this circle, so the answer is five-eighths. Classifying Fractions A […]

Solutions: Decimals, Part II

Estimating Decimal Products Using compatible numbers, 29.4 is changed to 30 and 3.2 is changed to 3. The product of 30 and 3 can be computed mentally. Rounding both factors down, we get: 05.7 05 34.3 30 The product of 5 and 30 is 150. Rounding both factors up, we get: 05.7 06 34.3 40 The product of 6 […]

Solutions: Decimals, Part I

Introduction to Decimals is shown in the place-value chart below. 0 . 0 5 is shown in the place-value chart below. 0 . 2 3 1 Seven hundred sixty-two and three tenths is shown in the place-value chart below. 7 6 2 . 3 Expanded form is a way to write numbers […]

Solutions Volume 9: Symbolic Logic

Lesson on Sentences and Negation Each of these sentences is a closed sentence (an objective statement which is either true or false). “Jenny does not ride the bus” is the negation of “Jenny rides the bus.” The negation of p is “not p.” The statement ~x represents the negation of x. The statement ~a represents […]

Solutions: Data and Graphs

Data and Line Graphs Exercise Problem Answer 1 In which month were there the most vandals? June 2 In which month were there the least vandals? January 3 How many vandals were there in March? 19 4 In which month were there 24 vandals? April 5 How many vandals were there in February? 15 […]

Solutions: Percent Applications

Percent and Proportions Exercise Problem Solution Answer 1 What is 20% of 90? 18 2 14 out of 56 students got an A. What percent got an A? 25% 3 There are 18 girls in a class. If this is 40% of the class list, then how many students are in the class? 45 4 […]

Solutions: Introduction to Statistics

Range Exercise Problem Solution 1 Find the range of these distances run by 6 marathon runners: 10 km, 15 km, 12 km, 14 km, 8 km, 16 km 8 km, 10 km, 12 km, 14 km, 15 km, 16 km 16 km – 8 km = 8 km 2 Find the range of these quiz […]

Solutions: Topics in Pre-Algebra

Order of Operations Exercise Problem Solution 1. 9 + 6 x (8 – 5) 9 + 6 x (8 – 5) = 9 + 6 x 3 = 9 + 18 = 27 2. (14 – 5) ÷ (9 – 6) (14 – 5) ÷ (9 – 6) = 9 ÷ (9 – 6) = […]

Solutions: Probability

Introduction to Probability Exercise Problem Solution 1 Which of the following is an experiment? Tossing a coin. Rolling a single 6-sided die. Choosing a marble from a jar. All of the above. All of the above. 2 Which of the following is an outcome? Rolling a pair of dice. Landing on red. Choosing 2 marbles […]

Solutions: Integers

Introduction to Integers Exercise Problem Solution 1 Write an integer to represent the following situation: Earnings of 15 dollars +15 2 Write an integer to represent the following situation: A loss of 20 yards –20 3 What is the opposite of –231? +231 or 231 4 What is the opposite of +1096? (Do not enter a comma […]