View more at http://www.MathAndScience.com. In this lesson, you will learn what exponents and powers are in math, and why we use exponents in algebra and beyond. Exponents are a shorthand way of writing multiplication, and because of this, powers and exponents are used in higher level math, science, and engineering. Exponents are also used in scientific notation, which is used to write down very large numbers are very small numbers by using powers of 10. In order to use scientific notation for a large number, we use a positive exponent, and to write a small number, we use a negative exponent on the power of 10. Exponents are used heavily in algebra, physics, and calculus when writing and solving equations.….

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Learn Exponents & Powers in Math - [ 6-1-1]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what exponents and powers are in math, and why we use exponents in algebra and beyond. Exponents are a shorthand way of writing multiplication, and because of this, powers and exponents are used in higher level math, science, and engineering. Exponents are also used in scientific notation, which is used to write down very large numbers are very small numbers by using powers of 10. In order to use scientific notation for a large number, we use a positive exponent, and to write a small number, we use a negative exponent on the power of 10. Exponents are used heavily in algebra, physics, and calculus when writing and solving equations.….

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What is the Distributive Property in Math? - [6-1-7]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what the distributive property is in math and why it is important. The distributive property is used when we have a term or number on the outside of a parenthesis where there are terms added or subtracted inside. Another way of saying this is when we have a single term multiplied by a binomial term. In this case, the distributive property is used to multiply the outside term into the parenthesis to the terms that are inside. We distribute the term from the outside to the inside, multiplying as we distribute. The distributive property is used extensively in all levels of math, algebra, calculus, and beyond.….

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Understand Fractions as Decimals (Fractions into Decimals & Decimals into Fractions) - [6-2-1]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn how fractions and decimals are related to one another. We will learn how to convert fractions into decimals. We need to understand this in order to understand how to convert decimals into fractions in future lessons. Here, we write the fraction down as the numerator divided by the denominator, and by carrying out the long division, we can then calculate the decimal equivalent to any fraction. Understanding how fractions and decimals are related is a key skill in math, geometry, algebra, and beyond.….

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What is a Proportion in Math? Calculate & Solve Proportions & Equations - [6-3-3]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what a proportion is, how to solve proportions, and how to calculate the value of a proportion. A ratio is the comparison between two numbers, and a proportion is when we set two ratios equal to one another. When we solve a proportion, we must learn how to solve an equation for the unknown variable. In this lesson, we describe what proportions are used for, how to set up a proportion as an equation, and how to use the concept of solving an equation to solve a proportion.….

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What is a Ratio in Math? Understand Ratio & Proportion - [6-3-1]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what a ratio is and why we use ratios in math. You will also learn how to represent a ratio as a fraction and also how to write a ratio in colon notation. A ratio is a comparison between two numbers. A proportion is when two ratios are equal to one another. For example, if we have a room with 10 boys and 5 girls, we might write the ratio of boys to girls as 10:5, or as a fraction, 10/5. We can then simplify this ratio just like we simplify any fraction down to the simplest ratio, 2/1 in this case. This ratio indicates that in this room there are 2 boys for every 1 girl. We use ratios in all math subject areas to solve a wide variety of problems.….

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Rapid Mental Math Multiplication w/ the Distributive Property - [6-1-9]

View more at http;//www.MathAndScience.com. In this lesson, we will [...]

View more at http;//www.MathAndScience.com. In this lesson, we will learn how to do rapid mental math multiplication using the distributive property. We will learn to break up multiplication into two simpler multiplication problems that we can perform in our head. We then add the results. This lets us multiply larger numbers in our head. We use the distributive property of multiplication in order to do this rapid mental math. Distribution of multiplication over addition means that each term in the parenthesis gets multiplied by what term is on the outside.….

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Learn Acute, Obtuse & Right Angles and Measure Angles with a Protractor - [5-9-7]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn how to identify if an angle is an acute angle, an obtuse angle, or a right angle. We will do this by first measuring an angle using a protractor to understand how many degrees are in the angle. After we know the measure of the angle, we can determine if it is acute, obtuse, or right. This information is important to understand as there are many theorems in geometry, algebra, and calculus, that depending on know the measure of an angle and the type of angle that it is.….

View more at http://www.MathAndScience.com. In this lesson, we learn [...]

View more at http://www.MathAndScience.com. In this lesson, we learn that a polygon is a figure made up of line segments. The number of line segments determine what type of polygon the figure is. Regular polygons are polygons where the sides have the same length. You will learn about triangles with 3 sides, squares, rectangles, rhombus, and parallelograms with 4 sides, pentagons with 5 sides, and hexagons which have 6 sides. Many problems in geometry and trigonometry rely on knowledge of polygons.….

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will discuss the coordinate plane and what an x coordinate means along with the y coordinate. By using ordered pairs of x and y coordinates, we can plot points in the xy plane. By connecting points, we can graph lines, measure distances, and graph more complex shapes to solve more complex problems. We measure distance in the xy coordinate plane by counting the x and y coordinates around a shape. We graph points and lines in the xy plane in all levels math, and use this skill in science, math, and engineering.….

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Calculate Exponents & Learn to Use Exponents in Math - [5-7-15]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn what an exponent is in math and how to calculate exponents. An exponent is a shorthand way of writing multiplication. We take a number called the base, and raise it to a power, which is called the exponent. The base is then multiplied by itself the number of times as is given by the exponent. Exponents are used very often in physics, math, and engineering, because most equations such as gravity, equations of motion, and the like have exponents in the equation. We will learn how to write exponents, how to write the exponent as the product of factors, and how to calculate the value of the exponent for the answer. In future lessons, we will learn how to multiply terms with exponents and how to divide terms that have exponents.….

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Learn Metric Units & Unit Conversions (Meters, Liters, Grams, & more) - [5-8-1]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn the units of the metric system and how the metric system is organized. We will learn the units of length (meters, centimeters, kilometers), units of volume (liter, milliliters), and units of mass (grams, kilograms). Once we understand the metric prefixes and how they work, it is easy to know how these units relate to each other. Using these conversion factors, we will convert from one unit into another unit using dimensional analysis. Dimensional analysis is used for unit conversions, but it is also used in physics, chemistry, engineering, and math to solve more complex problems.….

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What is Volume in Math? Calculate Volume of Rectangular Prisms & Cubes w/ Units - [5-8-13]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn about the concept of volume in math. We will discuss what volume is, how to calculate volume, and the units of volume. The units of volume are cubic units such as cubic cm, cubic meters, cubic km, cubic feet, etc. In order to understand volume, we must visualize the shape containing a number of cubes inside. The number of cubes that we can fit in the shape is called the volume in cubic centimeters, for example. A cubic centimeter is a cube where all sides are 1 cm long. In order to calculate the volume, we multiply the length by the width by the height. In this way we find how many cubes will fit inside of the shape, which is its volume.….

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Master the Order of Operations (PEMDAS) in Math - [5-7-5]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn about the order of operations in math. Order of operations, also known as PEMDAS, tells us the correct order to perform calculations in math. At the highest level, we must do what is in parenthesis first. After this, the next highest priority is to do exponents, followed by multiplication and division, then finally addition and subtraction. It is important to perform the multiplication and division from left to right. Similarly, we do the addition and subtraction from left to right. We will practice order of operations by solving many problems step by step. We use order of operations in algebra, trig, calculus, physics, and beyond.….

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn simplifying fractions to lowest terms. In order to simplify a fraction, we can divide the numerator and denominator by the same factor (number). When we do this, we change the way that the fraction looks, but we don't change the meaning of the fraction. For example, the fractions 5/10, 6/12, 3/6, and 1/2 all represent the same amount of material, namely one half of the item in question. Simplifying fraction is very closely related to the idea of an equivalent fraction. We use equivalent fractions when we add, subtract, multiply, or divide fractions. We always simplify the resulting fraction to lowest terms to find the answer.….

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Using Parenthesis in Math - Order of Operations - [5-7-3]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn how to work with parenthesis in a mathematical expression with order of operations. All calculations inside of parenthesis must be done first in a calculation. If we have multiple sets of parenthesis one inside of another, we work inside-out. That is, we calculate the innermost set of parenthesis and work outwards. After all parenthesis are done, we then focus on any exponents, multiplication, division, the finally addition and subtractions.….

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn how to graph points on the coordinate plane (xy plane). We will discuss ordered pairs, input and output tables, and how to take the coordinates of a point and plot the point on a coordinate grid. First, we locate the x-coordinate and the y-coordinate. The point is plotted at the intersection of these x and y coordinates along the x-axis and the y-axis. Once the points are graphed, we can connect the points using a straight line or a smooth curve. This lets us visualize what the data looks like and from this we can infer the real life situation that the graph represents.….

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Learn Greatest Common Factor (GCF) & Least Common Multiple (LCM) - [7]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn how to find the greatest common factor (gcf) and least common multiple (lcm) of two numbers. These ideas are important when working with fractions, finding common denominators to add fractions, and other operations with fractions and numbers. The GCF is found by finding the factors of numbers and looking to find the largest (greatest) factor common between two numbers. Factors are simply numbers that can be divided into a number. To find the least common multiple, we just find the multiples of the given numbers and look for the smallest (least) multiple common to both lists.….

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn about quadrilaterals, which are four sided shapes in geometry. Specifically, we will learn about the trapezoid, which is a quadrilateral with only two parallel sides. Next, we will learn about the parallelogram, which has two pairs of parallel sides. Next is the Rhombus, which is a parallelogram in which all of the sides have equal length. Next, we have the rectangle, which is a parallelogram where there are four ninety degree angles - one in each corner. A square is simply then a rectangle where all sides have equal length. Finally, a kite is a quadrilateral where two pairs of sides have equal length. We will explore each of these quadrilateral shapes by solving problems and classifying each of these quadrilaterals in turn.….

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn what an equivalent fraction is, why they are important, and how to calculate an equivalent fraction. An equivalent fraction is just a fraction with a different numerator and denominator but yet has the same meaning and value as the original fraction. We can calculate the value of an equivalent fraction by multiplying the numerator and denominator of a fraction by any number we wish - the only stipulation is that you must multiply the numerator and denominator by the same number in order for the new fraction to remain equivalent to the old fraction.….

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Learn to Convert Decimals to Fractions (Change a Decimal into a Fraction) - [21]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn how to convert a decimal to a fraction. The basic process is to understand what the place values mean in the decimal representation of a number. The tenths place and the hundredths place, for example, mean that those digits are written as fractions over ten and over one hundred, respectively. If the decimal has a whole number part to it, just reserve that at the end and write the final answer as a mixed number. We will learn how to convert a decimal into a fraction out to the thousandths place, but the same process can be extended to a decimal with any number of digits after the decimal point. This process will also help us convert a fraction to a decimal in future lessons.….

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Learn Equilateral, Scalene & Isosceles Triangles and Acute, Obtuse & Right Triangles - [15]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn how to classify triangles according the angles inside of the triangle and also according to the lengths of the sides of the triangle. In terms of angle, we will learn acute triangles which have an acute angle, obtuse triangles which have an obtuse angle, and right triangles which have a single right angle (90 degree angle). In terms of the sides of the triangle, we will learn how to classify equilateral triangles which have all equal sides, isosceles triangles where two sides are equal, and scalene triangles where all three sides are unequal. Classifying triangles like this is important in geometry, algebra, trigonometry, physics and calculus.….

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Learn to Multiply Decimals (Decimal Multiplication) - [15]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn how to multiply two decimal numbers together. The procedure is the same as it is for multiplying whole numbers with the main exception that when we get to the answer we need to know where to put the decimal point. In order to do this, we count the number of digits after the decimal point in the problem statement. The total number of digits after the decimal here is then the same as it is in the answer. Once we place the decimal point in the answer, the problem is complete. We will practice solving example problems so that you can gain practice and experience with multiplying decimals.….

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Learn to Divide Decimals (Long Division with Decimals) - [19]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what long division is and how to perform long division of decimal numbers. The process is almost the same as long division of whole numbers. The main difference is that in the first step we must move the decimal points of the numbers so that we have a whole number on the outside of the division house. Then, we perform the division as usual. We will solve many problems in order to practice this process, and we will explain how and why we are allowed to move the decimal points in the numbers of the problem.….

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What are Improper Fractions & Mixed Numbers? Convert Improper Fraction to Mixed Number - [3]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what an improper fraction is and how they differ from mixed numbers and proper fractions. A proper fraction is a fraction where the numerator is smaller than the denominator. An improper fraction is where the numerator is larger than the denominator. A mixed number is just a different way to write an improper fraction. Improper fractions and mixed numbers both represent quantities larger than one. Because of this, we use improper fractions and mixed numbers very often in science and math. We will learn how to convert between an improper fraction and a mixed number in this lesson.….

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will explore important concepts in geometry such as lines, rays, angles, segments, and points. We will also learn about the vertex of an angle and how to name segments, rays, and angles. The fundamental construct in geometry is a point. A collection of points is called a ray, a line, or a line segment. Lines , segments, or rays can be arranged to form an angle. The central point of an angle is called the vertex of the angle. In this lesson we will practice identifying and naming the segments and rays in a figure. We will also name the angles and the vertex of the angle in question.….

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What is an Exponent & Powers of 10? - [5]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will explore the concepts of exponents and powers of 10. An exponent is a shorthand way to expressing multiplication. The exponent itself tells how many times to multiply the base number times itself. This allows us to express very large numbers and very small numbers in a better and more useful way for calculations in science and engineering. A power and an exponent are two words that mean the same thing. Powers of 10 are just exponents applied to the base number 10. We are very interested in powers of 10 because our number system is a base 10 system, and because of this, powers of 10 are how we keep track of the place value of large and small numbers. In this lesson we will learn what is an exponent and a power of 10 by solving example problems.….

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The Arithmetic Series - Part 1 - [14]

View more at http://www.MathAndScience.com. In this lesson, we will [...]

View more at http://www.MathAndScience.com. In this lesson, we will learn about the arithmetic series and how it compares with the corresponding arithmetic sequence. A series is just the sum of terms of a mathematical sequence. The arithmetic series is used along the geometric series to solve problems in algebra and in calculus.….

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Learn the Meaning of Dividing Decimals - [17]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn what it means to have a decimal and divide it by another decimal. We will use pictures and models to graphically understand what each decimal really means and use the model to find the answer to the division problem. Dividing decimals functions in a similar way to dividing whole numbers. Once we understand how to represent the division process, we can apply it to the pictorial representation of decimal division and find the answer to the problem.….

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Learn the Meaning of Multiplying Decimals - [13]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn the concept of decimal multiplication. We will use models and pictures to illustrate what it really means to multiply a decimal by another decimal. The second number functions to chop, or cut, the original number into a smaller number. We graphically show how to use this to multiply decimals and show that the answer makes sense intuitively. In later lessons, we will show the steps to multiply the decimals out by hand and how to place the decimal point in the final answer.….

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Logarithm Change of Base Formula & Solving Log Equations - Part 1 - [7]

View more at http://www.MathAndScience.com. In this lesson, you will [...]

View more at http://www.MathAndScience.com. In this lesson, you will learn how to solve logarithmic equations by using the log change of base formula. We will learn that we can express the logarithm in terms of a different log with a different base. This is very useful when we solve logarithmic equations because we can construct the proper log to cancel terms and isolate the variable that we are trying to solve. In this lesson, we will introduce the log change of base formula and apply it to solving equations that contain logarithms.….