Chapter 6: Percent
Lesson 7: Sale Tax Discount
Lesson 6: Simple Interest
Lesson 5: Estimate the percent
Lesson 4: Percent Realationship
Lesson 3: Find a number when a percent is known
Lesson 2: Find a percent
Lesson 1: Find a percent of a number
Chapter 5: Ratio, Proportion, and Percent
Lesson 7: Fraction and percent
Lesson 6: Decimal and percent
Lesson 5: Scale Drawing
Lesson 4: Distant Speed Time
Lesson 3: Solve Proportion
Lesson 2: Equivalent Ratios
Lesson 1: Ratios
Chapter 4: Expressions and Equations
Lesson 11: Equation with Fraction
Lesson 10: Equation with Multiplication and Division
Lesson 9: Equation with Addition and Subtraction
Lesson 8: Write Expression with Fraction
Lesson 7: Write Multiplication and Division Expression
Lesson 6: Write Addition and Subtraction Expression
Lesson 5: Evaluate Expression with Fraction
Lesson 4: Distributive Property
The Distributive Property gives you another way to evaluate a number multiplied by a sum or a difference
Lesson 3: Order of Operations
Lesson 2: Multiplication property
Commutative Property - the order of how you arrange the number, it doesn’t affect the product.
Associative Property – the way in which the numbers are grouped doesn’t affect the product.
Identity Property - the product of a number and 1 is that number.
Zero Property - the product of a number and 0 is 0.
Associative Property – the way in which the numbers are grouped doesn’t affect the product.
Identity Property - the product of a number and 1 is that number.
Zero Property - the product of a number and 0 is 0.
Lesson 1: Addition property
Chapter 3: Integers
Lesson 7: Rational Number
A rational number is a number that can be expressed in the form a/b, where a and b are integers and b is not zero. Rational numbers include whole numbers, integers, fractions, and decimals.
Lesson 6: Divide Integers
Negative integer/Positive integer = Negative Integer
Positive integer/Negative Integer = Negative Integer
Negative integer/Negative integer = Positive integer
Positive integer / Positive integer = Positive integer
Positive integer/Negative Integer = Negative Integer
Negative integer/Negative integer = Positive integer
Positive integer / Positive integer = Positive integer
Lesson 5: Multiply Integers
Negative integer x Positive integer = Negative Integer
Positive integer x Negative Integer = Negative Integer
Negative integer x Negative integer = Positive integer
Positive integer x Positive integer = Positive integer
Positive integer x Negative Integer = Negative Integer
Negative integer x Negative integer = Positive integer
Positive integer x Positive integer = Positive integer
Lesson 4: Subtracting Integers
The basic rule for Subtracting an integers
1.Subtracting an integer is the same as adding its opposite
1.Subtracting an integer is the same as adding its opposite
Lesson 3: Adding Integers
For each pair of one positive and one negative they get canceled out
The remaining positive or negative is the answer.
The remaining positive or negative is the answer.
Lesson 2: Compare and Order Integers
The easiest way to compare integers is to put it on the number line. integers increase value from left to right.
Lesson 1: Integers
Integers are whole number and its opposites
0 is neither positive nor negative
0 is neither positive nor negative
Chapter 2 : Operations with Fractions
Lesson 10 : Metric Units of Measurement
Lesson 9: Divide Mixed Numbers
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Lesson 8: Divide Whole Numbers and Fraction
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Lesson 7: Dividing Fraction
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Understand by using the Diagram
There are 10 total piece. There are 9 piece shaded. So how many time can we get 2 form 9? The answer is 4 and a half time. So the answer for this fraction is 4 and one half. (To use the process we need to made the denominator the same)
There are 10 total piece. There are 9 piece shaded. So how many time can we get 2 form 9? The answer is 4 and a half time. So the answer for this fraction is 4 and one half. (To use the process we need to made the denominator the same)
Lesson 6: Multiply Mixed Number
1.Convert the mixed number into an improper fraction
2.Multiply the numerators to get a new numerator
3. Multiply the denominators to get a new denominators
4. Simplify the fraction (if needed)
5.Convert improper fraction into mixed number
2.Multiply the numerators to get a new numerator
3. Multiply the denominators to get a new denominators
4. Simplify the fraction (if needed)
5.Convert improper fraction into mixed number
Lesson 5: Multiply Fraction
1.Multiply the numerators to get a new numerator
2. Multiply the denominators to get a new denominators
3. Simplify the fraction (if needed)
2. Multiply the denominators to get a new denominators
3. Simplify the fraction (if needed)
Lesson 4 : Subtract Fractions and Mixed Numbers with Unlike Denominators
1.Find the least common multiple (LCM) for the denominators.
2.Multiply the numerator and denominator to get like denominators.
3.Turn the other fractions into equivalent fractions.
4.Subtract the numerators but leave the denominators the same.
5.Simplify or reduce the answer if necessary.
2.Multiply the numerator and denominator to get like denominators.
3.Turn the other fractions into equivalent fractions.
4.Subtract the numerators but leave the denominators the same.
5.Simplify or reduce the answer if necessary.
Lesson 3 : Adding Fractions and Mixed Numbers with Unlike Denominators
1.Find the least common multiple (LCM) for the denominators.
2.Multiply the numerator and denominator to get like denominators.
3.Turn the other fractions into equivalent fractions.
4.Add the numerators but leave the denominators the same.
5.Simplify or reduce the answer if necessary.
2.Multiply the numerator and denominator to get like denominators.
3.Turn the other fractions into equivalent fractions.
4.Add the numerators but leave the denominators the same.
5.Simplify or reduce the answer if necessary.
Lesson 2 : Subtract Fractions and Mixed Numbers with Like Denominators
Subtract the numerators of the two fractions
Place product sum over the common denominator.
If this fraction is improper (numerator larger than or equal to the denominator) then convert it to a mixed number
Place product sum over the common denominator.
If this fraction is improper (numerator larger than or equal to the denominator) then convert it to a mixed number
Lesson 1 : Add Fractions and Mixed Numbers with Like Denominators
Add the numerators of the two fractions
Place that sum over the common denominator.
If this fraction is improper (numerator larger than or equal to the denominator) then convert it to a mixed number
Place that sum over the common denominator.
If this fraction is improper (numerator larger than or equal to the denominator) then convert it to a mixed number
Chapter 1 : Fractions and Number Theory
Lesson 11: Terminating and Repeating Fraction
Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
Lesson 10: Fractions,Mixed Numbers, and Decimals
To compare decimals, fractions, and mixed numbers we need to write the number in the same form.
Lesson 9: Compare and Order Fraction
Two way to compare fraction
1. We can use any common denominator
2.We can use LCM(Least common multiple) of the denominator as LCD(Least common denominator)
1. We can use any common denominator
2.We can use LCM(Least common multiple) of the denominator as LCD(Least common denominator)
Lesson 8: Simplest Form
Fraction in its simplest form is one that cannot be simplified any more
Lesson 7: Equivalent Fractions
Equivalent fractions are fractions that look different but show exactly the same amount.
Lesson 6: Least Common Multiple
A least common multiple is a least number that is a multiple of two or more numbers.
Lesson 5:Greatest Common Factor
The highest number that divides exactly into two or more numbers. When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
Lesson 4: Divisibility Rules
Lesson 3: Prime Factorization
Prime factorization is finding the factors of a number that are all prime.
Lesson 2:Exponents
An exponent refers to the number of times a number is multiplied by itself.
Lesson 1: Factors and Prime Numbers
Factors are numbers we can multiply together to get another number
Prime Number is a whole number that can only divide by one and itself without remainder
Composite Number is a whole number that can be divided exactly by numbers other than one or itself.
Prime Number is a whole number that can only divide by one and itself without remainder
Composite Number is a whole number that can be divided exactly by numbers other than one or itself.