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	Z- Math Palindromes

Solutions: Understanding Percent

You can find complete Learning Objectives for this unit of study here. The Meaning of Percent Exercise Problem Solution 1 Which of the following is equal to ?1.6 8 to 100 16% none of the above 16% 2 Which of the following is equal to 21.8%?218 to 100 .218 none of the above .218 3 Which […]

Solutions: Number Theory

If you would like to better understand the curriculum, here are the learning objectives for this unit. Factors and Greatest Common Factors Exercise Problem Solution 1 Find the greatest common factor of 18 and 36. Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, […]

Solutions: Circumference & Area of Circles

Circumference of Circles Exercise Problem Solution 1 The diameter of a nickel is 2 cm. What is the circumference? d = 2 cm; C = 3.14 (2 cm); C = 6.28 cm 2 The circumference of a bicycle wheel is 50.24 in. What is the diameter? C = 50.24 in; d = 50.24 in ÷ 3.14; C […]

Solutions: Perimeter & Area of Polygons

Perimeter of Polygons Exercise Problem Solution 1 Find the perimeter of a triangle the sides of which are 10 in, 14 in and 15 in. P = 10 in + 14 in + 15 in = 39 in 2 A rectangle has a length of 12 cm and a width of 4 cm. Find its […]

Challenge Exercises on Sets

Directions: Read each question below. You may draw a Venn diagram to help you find the answer. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, rethink your answer, then choose a different button. 1. What is wrong with the set […]

Practice Exercises on Sets

Union of Sets

In previous lessons, we used Venn diagrams to represent relationships between sets. Let’s look at example 1 below. Example 1: In Greenville Middle School, two classes will be merged into one in order to reduce costs. If the students in Band and Chorus are combined into one new class, then which students will be in that […]

Intersection

In previous lessons, we used Venn diagrams to represent relationships between sets. Let’s look at the relationship of the sets described in example 1 below. Example 1: Let X = {1, 2, 3} and Let Y = {3, 4, 5}. What elements do X and Y have in common? Analysis: We will draw a Venn diagram of two overlapping circles. Elements that are common to […]

Complement

In previous lessons, we learned that a set is a group of objects, and that Venn diagrams can be used to illustrate both set relationships and logical relationships. Example 1: Given = {students who attend The Kewl School} and A = {students in Mrs. Glosser’s class}. What is the set of all students who attend The Kewl School that are […]

Set-Builder Notation

Problem: Mrs. Glosser asked Kyesha, Angie and Eduardo to list the set all of integers greater than –3. Analysis: Each student wrote this set using different notation. Solution: Kyesha P = {–2, –1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, …} Angie P = {–2, –1, 0, +1, +2, +3, +4, +5, +6, +7, +8, +9, +10, +11, …} Eduardo P = {all integers greater than –3} Each of the students in the problem […]