Standard: MACC.4.NF.1.1 Depth of Knowledge Level 3: Strategic Thinking
... Students think that when generating equivalent fractions they need to multiply or divide either the numerator or denominator, such as, changing 1/2 to sixths. They would multiply the denominator by 3 to get 1/6, instead of multiplying the numerator by 3 also. Their focus is only on the multiple of t ...
... Students think that when generating equivalent fractions they need to multiply or divide either the numerator or denominator, such as, changing 1/2 to sixths. They would multiply the denominator by 3 to get 1/6, instead of multiplying the numerator by 3 also. Their focus is only on the multiple of t ...
Alg 3 PPT Notes 1.8
... inequality was given in general form (with the polynomial on one side and zero on the other). Figure 1.16 ...
... inequality was given in general form (with the polynomial on one side and zero on the other). Figure 1.16 ...
Pythagorean Treasury Powerpoint - 8.1 ~ A collection of teaching
... Proving The Theorem of Pythagoras There are literally hundreds of different proofs of Pythagoras’ Theorem. The original 6th Century BC proof is lost and the next one is attributed to Euclid of Alexandria (300 BC) who wrote “The Elements”. He proves the Theorem at the end of book I (I.47) after firs ...
... Proving The Theorem of Pythagoras There are literally hundreds of different proofs of Pythagoras’ Theorem. The original 6th Century BC proof is lost and the next one is attributed to Euclid of Alexandria (300 BC) who wrote “The Elements”. He proves the Theorem at the end of book I (I.47) after firs ...
![pythagoreantreasury[1]](http://s1.studyres.com/store/data/008460234_1-b0fb1826394697cba2511ff556bba420-300x300.png)
pythagoreantreasury[1]
... Proving The Theorem of Pythagoras There are literally hundreds of different proofs of Pythagoras’ Theorem. The original 6th Century BC proof is lost and the next one is attributed to Euclid of Alexandria (300 BC) who wrote “The Elements”. He proves the Theorem at the end of book I (I.47) after firs ...
... Proving The Theorem of Pythagoras There are literally hundreds of different proofs of Pythagoras’ Theorem. The original 6th Century BC proof is lost and the next one is attributed to Euclid of Alexandria (300 BC) who wrote “The Elements”. He proves the Theorem at the end of book I (I.47) after firs ...
Fractions
... A fraction is proper when its numerator is smaller than its denominator (3/4, 5/8, 6/10). A fraction is improper when its numerator is larger than its denominator (4/3, 8/5, 10/6). Which are improper fractions? ...
... A fraction is proper when its numerator is smaller than its denominator (3/4, 5/8, 6/10). A fraction is improper when its numerator is larger than its denominator (4/3, 8/5, 10/6). Which are improper fractions? ...
SCIENTIFIC NOTATION
... have a value of eighty two million ohms or a capacitor may have a value of thirty three millionths of a Farad. ...
... have a value of eighty two million ohms or a capacitor may have a value of thirty three millionths of a Farad. ...
Perfect, Prime, and Sierpinski Numbers
... • We now know that the 5th through the 32nd Fermat numbers are all composite, as well as over 200 larger Fermat numbers. • Most of these numbers have been proven composite through finding factors. ...
... • We now know that the 5th through the 32nd Fermat numbers are all composite, as well as over 200 larger Fermat numbers. • Most of these numbers have been proven composite through finding factors. ...
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.