Suggested Assessments/Products/Activities
... -graph equations in two variables on a coordinate plane and label the axes and scales -solve multi-variable formulas or literal equations for a specific variable ...
... -graph equations in two variables on a coordinate plane and label the axes and scales -solve multi-variable formulas or literal equations for a specific variable ...
1-2
... *Every counting number has a successor that is one more than that number. Whole Numbers - ___________________________________________ Integers - _________________________________________________ Rational - _________________________________________________ *can be expressed as a fraction where the de ...
... *Every counting number has a successor that is one more than that number. Whole Numbers - ___________________________________________ Integers - _________________________________________________ Rational - _________________________________________________ *can be expressed as a fraction where the de ...
FACTORING DIFFERENCE OF SQUARES 1. Let a>b> 0. By means
... when a square of side length b is removed from a square of side length a, illustrate the identity a2 − b2 = (a + b)(a − b) . 2. The identity a2 − b2 = (a + b)(a − b) gives an approach for mental multiplication. Suppose that we wish to multiply two positive integers u and v, particularly if they are ...
... when a square of side length b is removed from a square of side length a, illustrate the identity a2 − b2 = (a + b)(a − b) . 2. The identity a2 − b2 = (a + b)(a − b) gives an approach for mental multiplication. Suppose that we wish to multiply two positive integers u and v, particularly if they are ...
Collatz conjecture
The Collatz conjecture is a conjecture in mathematics named after Lothar Collatz, who first proposed it in 1937. The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), or as wondrous numbers.Take any natural number n. If n is even, divide it by 2 to get n / 2. If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. Repeat the process (which has been called ""Half Or Triple Plus One"", or HOTPO) indefinitely. The conjecture is that no matter what number you start with, you will always eventually reach 1. The property has also been called oneness.Paul Erdős said about the Collatz conjecture: ""Mathematics may not be ready for such problems."" He also offered $500 for its solution.