factors: 1 of 2 or more numbers that are multiplied to give a product. prime number: a whole number whose factors are one and itself. composite: a whole number who has more than 2 factors.
1 Example: 2 is a prime number because it i a product of 1 and itself.
2 x 1= 2 1 x 2= 2 2 Example: 4 is a composite number because it is a product of more than 2 numbers.
4 x 1= 4 2 x 2= 4 1 x 4= 4
Lesson 2 Exponents
Exponents: the number in a power that tells how many times a factor is repeated n a product.
Example: there is 2 threes so you write 1 three and write 2 on top because there are 2 threes.
Lesson 3 Prime factorization
Prime Factorization: factoring a number into its prime factors only.
Example: You first write the 2 factor on the first branch. Then circle the prime number if it is circled that side ends. Then you do the next number. Until all the branches end.
Lesson 4 Divisibility Rules
Divisibility Rules: a divisibility rule is a shorthand way of determining whether a given number is divisible by a fixed divisor without performing the division, usually by examining its digits.
Example: 6294 it is divisible by 3 because, the sum of the digits is divisible by 3. 6+2+9+4+ 21 21 is divisible by 3
Lesson 5 Greatest Common Factor (GCF)
Greatest Common Factor: the greatest whole number that is a common factor of 2 or more numbers.
Example: First you find the prime factors of each numbers.Then you order each number from least to greatest and cross out the numbers that appear in each. Then make a Venn diagram chart and write the common numbers in the middle and the left out number of each in the big circles. To find the GCF you multiply all the numbers in the middle. 2 x 2 x 2 x 3 = 24 So the GCF is 24
Lesson 6 Least Common Multiple (LCM)
Least Common Multiple: the least number that is a multiple of 2 or more number.
Example: First you find the prime factors of each numbers.Then you order each number from greatest to least and cross out the numbers that appear in each. Then make a Venn diagram chart and write the common numbers in the middle and the left out number of each in the big circles. To find the LCM multiply all the numbers in the diagram. 2 x 3 x 11 = 66 So the LCM is 66
Lesson 7 Write Equivalent Fractions
Equivalent Fraction: fractions that show different numbers with the same value.
Example: To find the equivalent fraction multiply or divide the numerator and denominator by the same number
Lesson 8 Simplest Form
Simplest Form: A fraction whose numerator and denominator has the number 1 as the only common factor.
Example: To find the simplest form you multiply the denominator with the whole number and and the numerator and the sum. Then write it as a fraction. Find the simplest form of each number. Write each numbers prime factors then cross out the one which is found in each. The numbers which are not crossed multiply and write it as a fraction.Then divide the numerator by the denominator the number at the top is the whole, the denominator stays the same and and the remainder will be the numerator
Lesson 9 Compare and Order Fraction
2 fractions have a common denominator if their denominators are same. For example, the fractions 5/7 and 6/7 have a common denominator. The least common denominator (LCD) of 2 fractions is the least common multiple of their denominators.
Lesson 10 Fractions, Mixed Numbers and Decimals
Fraction: A numerical quantity that is not a whole number. Mixed Numbers: A number consisting of an integer and a proper fraction. Decimal: A number with 1 ore more digit to the right of a decimal point.
To compare decimals, fractions, and mixed numbers, express the numbers in the same form.
Lesson 11 Terminating Decimal and Repeating Decimal
Terminating Decimal: A decimal quotient that terminates or stops because the repeating block of digits consists only zeros.
Repeating Decimal: A decimal quotient that contains a repeating block of digits.
Chapter 2
Lesson 1 Add Fraction with Like Denominator
Lesson 2 Subtract Fractions and Mixed Numbers with Like Denominators
Lesson 3 Adding Fractions and Mixed Numbers with Unlike Denominators
Lesson 4 Multiplying Fractions
Lesson 6 Multiply Mixed Number
Lesson 7 Divide Fractions
Lesson 8 Divide Whole Numbers with Fractions
Lesson 9 Divide Mixed Numbers
Lesson 10 Metric System of Measurements
Chapter 3 Lesson 1 and 2 Integers and Compare and Order Integers
Lesson 3 and 4 Adding and Subtracting Integers
Lesson 5 and 6 Multiplying and Dividing Integers
Lesson 7 Rational Numbers
Chapter 6 Lesson 1 Addition Properties to Evaluate Expressions
Lesson 2 Multiplication Properties to Evaluate Expressions
Lesson 3 Order of Operations
P E M D A S - Parenthesis - Exponents -Multiplication -Division -Addition -Subtraction
Lesson 4 Distributive Properties to Evaluate Expressions
Lesson 5 Evaluate Expressions with Fractions
Lesson 7 Write Addition and subtraction Expressions
Lesson 8 Write Multiplication and Division Expressions
Lesson 9 Write Expressions with Fraction
Lesson 10 Equations with Addition and Subtraction
Lesson 11 Equations with Multiplication and Division