What I learned in Math
Chapter 8
Lesson 3
Find a Number when the Percent is Known
Lesson 3
Find a Number when the Percent is Known
Chapter 8
Lesson 2
Find a Percent
Lesson 2
Find a Percent
Chapter 8
Lesson 1
Finding a Percent of a Number
Lesson 1
Finding a Percent of a Number
Chapter 7: Ratios, Proportions, and Percents
Chapter 7
Lesson 8
Fractions and Percent
Lesson 8
Fractions and Percent
Chapter 7
Lesson 7
Decimals and Percent
Lesson 7
Decimals and Percent
Chapter 7
Lesson 6
Scale Drawings
Lesson 6
Scale Drawings
Chapter 7
Lesson 5
Distance, Speed, and Time
Lesson 5
Distance, Speed, and Time
Chapter 7
Lesson 4
Solve Proportions
Lesson 4
Solve Proportions
Chapter 7
Lesson 3
Equivalent Ratios
Lesson 3
Equivalent Ratios
Chapter 7
Lesson 2
Rates
Lesson 2
Rates
Chapter 7
Lesson 1
Ratios
Lesson 1
Ratios
Chapter 6: Expressions and Equations
Chapter 6
Lesson 10
Equations with Fractions
Lesson 10
Equations with Fractions
Chapter 6
Lesson 10
Equations with Multiplication and Division
Lesson 10
Equations with Multiplication and Division
Chapter 6
Lesson 9
Equations with Addition and Subtraction
Lesson 9
Equations with Addition and Subtraction
Chapter 6
Lesson 8
Write expressions with Fractions
Lesson 8
Write expressions with Fractions
Chapter 6
Lesson 7
Write Multiplication and Division Expressions
Lesson 7
Write Multiplication and Division Expressions
Chapter 6
Lesson 6
Write Addition and Subtraction Expressions
Lesson 6
Write Addition and Subtraction Expressions
Chapter 6
Lesson 5
Evaluate Expressions with Fractions
Lesson 5
Evaluate Expressions with Fractions
Chapter 6
Lesson 4
Use the Distributive Property to Evaluate Expressions
Lesson 4
Use the Distributive Property to Evaluate Expressions
Chapter 6
Lesson 3
Order Operations
PEMDAS: We need to remember PEMDAS to do order operations because you need to do Parentheses (P) first, Exponents (E) second, Multiply (M) third, Divide (D) fourth, Add (A) fifth, and Subtract (S) last.
Lesson 3
Order Operations
PEMDAS: We need to remember PEMDAS to do order operations because you need to do Parentheses (P) first, Exponents (E) second, Multiply (M) third, Divide (D) fourth, Add (A) fifth, and Subtract (S) last.
Chapter 6
Lesson 2
Use Multiplication Properties to Evaluate Expressions
Lesson 2
Use Multiplication Properties to Evaluate Expressions
Chapter 6
Lesson 1
Use Addition Properties to Evaluate Expression
Lesson 1
Use Addition Properties to Evaluate Expression
Chapter 5 Integers and Rational Numbers
Chapter 5
Lesson 7
Rational Number
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 7
Rational Number
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.
Chapter 5
Lesson 6
Divide Integer
Divide Way: Turn the negative integers to positive integers. Then, divide them to get the answer. You can use the multiplication formula but, turn the multiplication sign into division signs to find out whether the sum is a positive integer or a negative integer.
Lesson 6
Divide Integer
Divide Way: Turn the negative integers to positive integers. Then, divide them to get the answer. You can use the multiplication formula but, turn the multiplication sign into division signs to find out whether the sum is a positive integer or a negative integer.
Chapter 5
Lesson 5
Multiply Integer
Repeated Addition: The question +3 x -2 and turn it into -2 + -2 + -2 = -6 because we need to make +3 negative twos.
Formula: 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
Lesson 5
Multiply Integer
Repeated Addition: The question +3 x -2 and turn it into -2 + -2 + -2 = -6 because we need to make +3 negative twos.
Formula: 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
Chapter 5
Lesson 4
Subtracting Integer
Rule way: The rule is "Subtracting an integer is the same as adding its opposite". So if its subtracting integer turn it into adding integer and then, turn the second integer into its opposite and just add.
Lesson 4
Subtracting Integer
Rule way: The rule is "Subtracting an integer is the same as adding its opposite". So if its subtracting integer turn it into adding integer and then, turn the second integer into its opposite and just add.
Chapter 5
Lesson 3
Adding Integer
Zero Pair: For each pair of one positive and one negative they get canceled out for the remaining positive or negative that is the answer.
Lesson 3
Adding Integer
Zero Pair: For each pair of one positive and one negative they get canceled out for the remaining positive or negative that is the answer.
Chapter 5
Lesson 2
Compare and Order Integer
There 1 Common Way to Compare Integers
Step 1: Locate the numbers that you are comparing in a number line.
Step 2: Compare. On a number line, integers increase in value from left to right.
Lesson 2
Compare and Order Integer
There 1 Common Way to Compare Integers
Step 1: Locate the numbers that you are comparing in a number line.
Step 2: Compare. On a number line, integers increase in value from left to right.
Chapter 5
Lesson 1
Integers
Integer: Integer is a whole number that is not a fraction, decimal, or mixed number and its opposite.
Positive Integer: Positive integers are whole numbers that are greater than 0.
Negative Integer: Negative integers are whole numbers that are lesser than 0.
0: 0 is an integer that is neither a positive nor negative.
Lesson 1
Integers
Integer: Integer is a whole number that is not a fraction, decimal, or mixed number and its opposite.
Positive Integer: Positive integers are whole numbers that are greater than 0.
Negative Integer: Negative integers are whole numbers that are lesser than 0.
0: 0 is an integer that is neither a positive nor negative.
Chapter 4: Operations with Fractions
Chapter 4
Lesson 11
Metric System of Measurement
Metric System of Measurement: To remember the metric system of measurement you need to remember the sentence Kangaroo Helps Dingo Because Dingo Can't Multiply or King Henry Died By Drinking Chocolate Milk. Both sentence have the letters K- Kilo, H- Hecto, D- Deca, B-Base (Meter, Liter, and Gram), D- Deci, C- Centi, and M- Mili.
Lesson 11
Metric System of Measurement
Metric System of Measurement: To remember the metric system of measurement you need to remember the sentence Kangaroo Helps Dingo Because Dingo Can't Multiply or King Henry Died By Drinking Chocolate Milk. Both sentence have the letters K- Kilo, H- Hecto, D- Deca, B-Base (Meter, Liter, and Gram), D- Deci, C- Centi, and M- Mili.
Chapter 4
Lesson 10
Divide Mixed Numbers
There is 1 common way to Divide Fractions with Whole Numbers
Step 1: Rename the mixed number(s) as improper fractions.
Step 2: Rewrite the problem from dividing fractions to multiplying fractions using the reciprocal of the divisor.
Step 3: Simplify the fractions by using prime factorization, cancel the common factors, and then multiply it.
Lesson 10
Divide Mixed Numbers
There is 1 common way to Divide Fractions with Whole Numbers
Step 1: Rename the mixed number(s) as improper fractions.
Step 2: Rewrite the problem from dividing fractions to multiplying fractions using the reciprocal of the divisor.
Step 3: Simplify the fractions by using prime factorization, cancel the common factors, and then multiply it.
Chapter 4
Lesson 9
Divide Fractions with Whole Numbers
There is 1 Common way to Divide Fractions with Whole Numbers
Step 1: Rename the whole number as a fraction with a denominator of 1.
Step 2: Rewrite the problem from dividing fractions to multiplying fractions using the reciprocal of the divisor.
Step 3: Simplify the fractions by using prime factorization, cancel the common factors, and then multiply it.
Lesson 9
Divide Fractions with Whole Numbers
There is 1 Common way to Divide Fractions with Whole Numbers
Step 1: Rename the whole number as a fraction with a denominator of 1.
Step 2: Rewrite the problem from dividing fractions to multiplying fractions using the reciprocal of the divisor.
Step 3: Simplify the fractions by using prime factorization, cancel the common factors, and then multiply it.
Chapter 4
Lesson 8
Dividing Fractions
There is 1 Common Way to Divide Fractions
1. Switcharoo: Rewrite the problem from dividing fractions to multiplying fractions using the reciprocal of the divisor. Then, you use the cross multiplication way or the multiply way to get the sum, at last simplify the fraction.
Lesson 8
Dividing Fractions
There is 1 Common Way to Divide Fractions
1. Switcharoo: Rewrite the problem from dividing fractions to multiplying fractions using the reciprocal of the divisor. Then, you use the cross multiplication way or the multiply way to get the sum, at last simplify the fraction.
Chapter 4
Lesson 7
Reciprocals
Reciprocal: The reciprocal of a fraction is the fraction inverted.
Lesson 7
Reciprocals
Reciprocal: The reciprocal of a fraction is the fraction inverted.
Chapter 4
Lesson 6
Multiply Fractions with Mixed Number
Rename the fraction from proper fractions as improper fractions and simplify the fraction.
Lesson 6
Multiply Fractions with Mixed Number
Rename the fraction from proper fractions as improper fractions and simplify the fraction.
Chapter 4
Lesson 5
Multiply Fractions
There are two ways to multiply fractions
1. Cross Division: divide the first fraction's denominator by the second fraction's numarator and you can do it the other way around.
2. Multiply: Multiply the denominator and the numarator. Then simplify the fraction if it can be done.
Lesson 5
Multiply Fractions
There are two ways to multiply fractions
1. Cross Division: divide the first fraction's denominator by the second fraction's numarator and you can do it the other way around.
2. Multiply: Multiply the denominator and the numarator. Then simplify the fraction if it can be done.
Chapter 4
Lesson 4
Subtract Fractions and Mixed Numbers
Make both of the denominator the same and subtract the numarators to get the sum.
Lesson 4
Subtract Fractions and Mixed Numbers
Make both of the denominator the same and subtract the numarators to get the sum.
Chapter 4
Lesson 3
Add Fractions and Mixed Numbers
Make both of the denominator the same and add the numarators to get the sum.
Lesson 3
Add Fractions and Mixed Numbers
Make both of the denominator the same and add the numarators to get the sum.
Chapter 4
Lesson 2
Subtract Fractions with Like Denominators
Subtract the numarator to get the sum.
Chapter 4
Lesson 1
Add Fractions with Like Denominators
Add the numarator to get the sum.
Lesson 1
Add Fractions with Like Denominators
Add the numarator to get the sum.
Addition
Chapter 3: Fraction and Number Theory
Chapter 3
Lesson 11
Terminating and Repeating Decimals
Divide the numerator by the denominator. If you end up with a remainder of 0, then you have a terminating decimal. If the remainders continues to repeat after some point, you have a repeating decimal.
Lesson 11
Terminating and Repeating Decimals
Divide the numerator by the denominator. If you end up with a remainder of 0, then you have a terminating decimal. If the remainders continues to repeat after some point, you have a repeating decimal.
Chapter 3
Lesson 10
Fractions, Mixed Numbers and Decimals
To compare decimals, fractions, and mixed numbers, express the number in the same form.
Lesson 10
Fractions, Mixed Numbers and Decimals
To compare decimals, fractions, and mixed numbers, express the number in the same form.
Chapter 3
Lesson 9
Compare and Order Fraction
There are two way to compare fraction
1. We can use any common denominator
2.We can use least common multiple of the denominator as Least common denominator.
Lesson 9
Compare and Order Fraction
There are two way to compare fraction
1. We can use any common denominator
2.We can use least common multiple of the denominator as Least common denominator.
Chapter 3
Lesson 8
Simplest Forms
When a fraction is in its simplest form it can't be simplified any more.
Lesson 8
Simplest Forms
When a fraction is in its simplest form it can't be simplified any more.
Chapter 3
Lesson 7
Equivalent Fractions
Equivalent Fractions are fractions that look different but show exactly the same amount.
Lesson 7
Equivalent Fractions
Equivalent Fractions are fractions that look different but show exactly the same amount.
Chapter 3
Lesson 6
Least Common Multiple (LCM)
A common multiple is a number that is a multiple of two or more numbers.
Lesson 6
Least Common Multiple (LCM)
A common multiple is a number that is a multiple of two or more numbers.
Chapter 3
Lesson 5
Greatest Common Factor (GCF)
The Greatest Common Factor (GCF) of some numbers, is the largest number that divides evenly into all of the numbers
Lesson 5
Greatest Common Factor (GCF)
The Greatest Common Factor (GCF) of some numbers, is the largest number that divides evenly into all of the numbers
Chapter 3
Lesson 4
Divisibility Rules
1: Divisible by all numbers.
2: The last digit must be even.
3: Sum of the digits must be divisible by 3.
4: The last two digits must be divisible by 4.
5: Last digit should end with 5 or 0.
6: The number must be divisible by 2 and 3.
7: Remove the last digit, double it, subtract it from the truncated original
number and continue doing this until only one digit remains. If this is 0 or
7, then the original number is divisible by 7.
8: The last three digits of the whole number should be divisible by 8.
9: The sum of all the digits should be a multiple of 9.
10: The last digit should be 0.
Lesson 4
Divisibility Rules
1: Divisible by all numbers.
2: The last digit must be even.
3: Sum of the digits must be divisible by 3.
4: The last two digits must be divisible by 4.
5: Last digit should end with 5 or 0.
6: The number must be divisible by 2 and 3.
7: Remove the last digit, double it, subtract it from the truncated original
number and continue doing this until only one digit remains. If this is 0 or
7, then the original number is divisible by 7.
8: The last three digits of the whole number should be divisible by 8.
9: The sum of all the digits should be a multiple of 9.
10: The last digit should be 0.
Chapter 3
Lesson 2
Exponents
Exponent: When a factor is repeated, the product can be written with exponents.
The exponents tells how many times the base is used as a factor.
Lesson 2
Exponents
Exponent: When a factor is repeated, the product can be written with exponents.
The exponents tells how many times the base is used as a factor.
Chapter 3
Lesson 1
Factors and Prime Numbers
Factor: Factor is a number that when multiplied with another produces a given number.
Prime Number: Prime numbers are whole numbers that have exactly two factors 1 and itself.
Composite Number: Composite number is a whole number with more than two factors.
Lesson 1
Factors and Prime Numbers
Factor: Factor is a number that when multiplied with another produces a given number.
Prime Number: Prime numbers are whole numbers that have exactly two factors 1 and itself.
Composite Number: Composite number is a whole number with more than two factors.