SUGGESTIONS FOR SUMMER
3rd Math - going into 4th grade
Practice multiplication and division basic facts; we will start in the Fall by reviewing combinations vs. arrangements, and probability (remember probability games have to be fair and the theoretical probability must be stated in lowest term).
Practice multiplication and division basic facts; we will start in the Fall by reviewing combinations vs. arrangements, and probability (remember probability games have to be fair and the theoretical probability must be stated in lowest term).
4th Math - going into 5th grade
Review all operations with fractions and with decimals. In the Fall, we will start by reviewing the circle and the formula for Circumference.
Review all operations with fractions and with decimals. In the Fall, we will start by reviewing the circle and the formula for Circumference.
5th Math - going into 6th grade
Know all decimal and all fraction computations; In the Fall, we will review function tables and rules; remember that the arithmetic sequence provides the factor for column A and this makes it easy to find the function table rule.
Know all decimal and all fraction computations; In the Fall, we will review function tables and rules; remember that the arithmetic sequence provides the factor for column A and this makes it easy to find the function table rule.
6th Math - leaving us for 7th grade - wishing you much success in all you do. You are the strong, silent types - Many, many blessings, always!
Practice all your operations of decimals and fractions; review measurement formulas and substitution of values; review rounding of decimals.
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RULES OF DIVISIBILITY
DIVISIBILITY – a number is divisible by another number if there is NO REMAINDER when numbers are divided:. Example: 24 / 6 = 4
1. All even numbers that end in 0, 2, 4, 6, or 8 are divisible by 2. (Ex. 3,477,208 is divisible by 2 because it ends in 8)
2. All numbers that end in 0 or 5 are divisible by 5. (3,435 is divisible by 5, as is 3,430.)
3. All numbers that end in 0 are divisible by 10. (Ex. 22,340 is divisible by 10.)
4. If a number ends with a multiple of 4 (last two digits make a number that is a multiple of 4) then the entire number is divisible by 4. Multiples of 4 are: 00, 04, 08, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100. ( 7,468,772 is divisible by 4 because 72 is a multiple of 4) (For a number like 5,248,{we can divide it by 4 or we could divide it twice by 2, making it divisible by 4} we can divide it by 2 twice because 2 x 2 = 4, therefore 5,248 will be divisible by 4. 5248 ÷ 2 = 2624; then divide 2624 ÷ 2 again = 1312. Because we divided by 2 two times, that is the same as dividing by 4 (2 x 2 = 4)
5. DIVISIBILITY BY 3: Add the digits in a number. If the digital sum is a multiple of 3, the number is divisible by 3.
(Ex. 1 -- 6,237,111 6+2+3+7+1+1+1 = 21 2 + 1 = 3 therefore, 6,237,111 is a multiple of 3 because the digital sum of 21 (or as reduced down to 3) is a multiple of 3.)
(Ex. 2 -- 23,145 2+3+1+4+5 = 15 1+5= 6 because 6 is a multiple of 3, so is 23,145 a multiple of 3 and divisible by 3)
6. Divisibility by 6: If a number is divisible by BOTH 2 and 3, it is automatically divisible by 6 (because 2 x 3 = 6)
(Ex. 41,532 is even and therefore divisible by 2. 4+1+5+3+2 = 15 1 + 5 = 6, which is a multiple of 3. Therefore, 41, 532 is also divisible by 6.)
7. Divisibility by 9: Add the digits in a number. If the digital sum is a multiple of 9, the number is divisible by both 9 and 3.
8. Divisibility by 12. If a number is divisible by both 3 and 4, it is automatically divisible by 12 (3 x 4 = 12)
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GENERAL MATH VOCABULARY
Factor – a number being multiplied, also known as divisor
Exponent – the small number written above and to the right of a base number in a power number
Base – the large number in a power number that is a factor with itself according to the value of the exponent
Power – a number that has a base and an exponent
Squared – to the second power or a number times itself (2 x 2)
Cubed – to the third power or a number times itself three times (5 x 5 x 5)
To evaluate – this word refers to expressions. We evaluate expression according to the given value of variables, which is given in the directions. Evaluate n + 2 if n = 10 In this case the value of n + 2 = 12
Standard form – the usual way we write quantities (digits in places) (ex. 236)
Perfect square – a number that results when a whole number is squared
Radical sign - used to indicate finding the root of a square number
Numerical expression – a combination of numbers and at least one operation
Order of Operations – the order in which numerical and algebraic expressions are evaluated – (1) undo parenthesis; (2) undo exponents; (3) simplify multiplication and division as it appears in order from left to right; (4) simplify addition and subtraction as it appears in order from left to right; and (5) undo the division bar
Variable – the unknown quantity in an algebraic expression or algebraic equation, usually written as a lower case letter.
Algebraic expression – a combination of numbers, variables, and at least one operation
Coefficient – the number factor attached to a variable (ex. 5n) 5 is the coefficient of n.
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Factor – a number being multiplied, also known as divisor
Exponent – the small number written above and to the right of a base number in a power number
Base – the large number in a power number that is a factor with itself according to the value of the exponent
Power – a number that has a base and an exponent
Squared – to the second power or a number times itself (2 x 2)
Cubed – to the third power or a number times itself three times (5 x 5 x 5)
To evaluate – this word refers to expressions. We evaluate expression according to the given value of variables, which is given in the directions. Evaluate n + 2 if n = 10 In this case the value of n + 2 = 12
Standard form – the usual way we write quantities (digits in places) (ex. 236)
Perfect square – a number that results when a whole number is squared
Radical sign - used to indicate finding the root of a square number
Numerical expression – a combination of numbers and at least one operation
Order of Operations – the order in which numerical and algebraic expressions are evaluated – (1) undo parenthesis; (2) undo exponents; (3) simplify multiplication and division as it appears in order from left to right; (4) simplify addition and subtraction as it appears in order from left to right; and (5) undo the division bar
Variable – the unknown quantity in an algebraic expression or algebraic equation, usually written as a lower case letter.
Algebraic expression – a combination of numbers, variables, and at least one operation
Coefficient – the number factor attached to a variable (ex. 5n) 5 is the coefficient of n.
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Seek the logic of content, and know what makes you happy!
Seek the logic of content, and know what makes you happy!
