Topic 1: Algebra
... Always remove brackets before attempting to tidy up an algebraic expression and take care with signs. e.g. 2m – 3m(m – 4) = 2m -3m X m - -3m X 4 = 2m -6m²+ 12m = 14m – 6m² Factorising Factorising is the opposite operation to removing brackets. To do this we look for a factor that is common to everyt ...
... Always remove brackets before attempting to tidy up an algebraic expression and take care with signs. e.g. 2m – 3m(m – 4) = 2m -3m X m - -3m X 4 = 2m -6m²+ 12m = 14m – 6m² Factorising Factorising is the opposite operation to removing brackets. To do this we look for a factor that is common to everyt ...
Algebra Tiles
... Completing the square enables you to solve equations that are not easily factorable. It will lead to the quadratic formula for solving quadratic equations. Method 1: In the equation ax2 + bx +c = 0, if a is a square and b is evenly divisible by 2 a , then arrange ax2 + bx into the beginning of a squ ...
... Completing the square enables you to solve equations that are not easily factorable. It will lead to the quadratic formula for solving quadratic equations. Method 1: In the equation ax2 + bx +c = 0, if a is a square and b is evenly divisible by 2 a , then arrange ax2 + bx into the beginning of a squ ...
MAT200, Spring 2015. Homework 2. Due on February 11, before
... (vi) That which we call a rose by any other name would smell as sweet. (vii) There’s place and means for every man alive. (viii) If there existed no external means for dimming their consciences, one-half of the men would at once shoot themselves, because to live contrary to one’s reason is a most in ...
... (vi) That which we call a rose by any other name would smell as sweet. (vii) There’s place and means for every man alive. (viii) If there existed no external means for dimming their consciences, one-half of the men would at once shoot themselves, because to live contrary to one’s reason is a most in ...
Factor Monster | TOC
... You may take any number that has one or more proper factors in the list. A proper factor of a number is a factor that is less than the number. In your first move, you cannot take 1 because there is no proper factor of 1 in the list. Indeed, 1 does not have a proper factor. In the list of natural num ...
... You may take any number that has one or more proper factors in the list. A proper factor of a number is a factor that is less than the number. In your first move, you cannot take 1 because there is no proper factor of 1 in the list. Indeed, 1 does not have a proper factor. In the list of natural num ...
7.EE.1_11_29_12_final
... the area 2a multiply by a, which is the length of the first rectangles. To get the area of 4b, multiply by 2b, which will be the length of the second rectangle. The final answer will be 2(a + 2b). Activities: Hand out index cards with various terms to all students. Ask students to find one that lo ...
... the area 2a multiply by a, which is the length of the first rectangles. To get the area of 4b, multiply by 2b, which will be the length of the second rectangle. The final answer will be 2(a + 2b). Activities: Hand out index cards with various terms to all students. Ask students to find one that lo ...
Math Remediation 3-5
... make them easier to use. Cut the cards apart and save each set of cards in an envelope. Students can work individually or in pairs to play the game. When the game is finished, the cards will form a 3 x 4 grid. (Note – The letters do not make words) ...
... make them easier to use. Cut the cards apart and save each set of cards in an envelope. Students can work individually or in pairs to play the game. When the game is finished, the cards will form a 3 x 4 grid. (Note – The letters do not make words) ...
1 Integer Division
... not the least of which is that computers can only work with whole numbers precisely—everything else is just an approximation. So, if all that we are allowed to work with are whole numbers, what can we do? Can we add two whole numbers? Yes, because we always get back another whole number. Can we mult ...
... not the least of which is that computers can only work with whole numbers precisely—everything else is just an approximation. So, if all that we are allowed to work with are whole numbers, what can we do? Can we add two whole numbers? Yes, because we always get back another whole number. Can we mult ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.