Full text
... The definitions (1.4) and (1.5) furnish combinatorial interpretations of S(n9 k9 A) and S1(n9 k9 A) when A is arbitrary. For A a nonnegative integer, the recurrences (1.11) suggest combinatorial interpretations for R(n9 k9 A) and R1(n9 k9 A) that generalize the interpretation of S(n9 k) and S1(n9 k) ...
... The definitions (1.4) and (1.5) furnish combinatorial interpretations of S(n9 k9 A) and S1(n9 k9 A) when A is arbitrary. For A a nonnegative integer, the recurrences (1.11) suggest combinatorial interpretations for R(n9 k9 A) and R1(n9 k9 A) that generalize the interpretation of S(n9 k) and S1(n9 k) ...
Note
... • Some rational numbers can be “simplified” if both the numerator and denominator are divisible by the same integer. • If the numerator and denominator are not divisible by a common integer, then we say it is simplified. • Sometimes it may take multiple steps of division to arrive at the fraction’s ...
... • Some rational numbers can be “simplified” if both the numerator and denominator are divisible by the same integer. • If the numerator and denominator are not divisible by a common integer, then we say it is simplified. • Sometimes it may take multiple steps of division to arrive at the fraction’s ...
Assignment
... 11. The reciprocal of a negative rational number _____ (a) is a positive rational number (b) is a negative rational number (c) can be either a positive or a negative rational number (d) does not exist 12. The value of (- 16/21 ÷ -4/3) is _____ (a) -3/10 ...
... 11. The reciprocal of a negative rational number _____ (a) is a positive rational number (b) is a negative rational number (c) can be either a positive or a negative rational number (d) does not exist 12. The value of (- 16/21 ÷ -4/3) is _____ (a) -3/10 ...
Consecutive Sums Date:
... A sequence of two or more natural numbers is consecutive if each number is one more than the previous number. For example, the numbers 2, 3, and 4 are consecutive. The numbers 8, 9, 10, and 11 are consecutive. The numbers 23 and 24 are consecutive. On the other hand, the numbers 6, 8, and 10 are not ...
... A sequence of two or more natural numbers is consecutive if each number is one more than the previous number. For example, the numbers 2, 3, and 4 are consecutive. The numbers 8, 9, 10, and 11 are consecutive. The numbers 23 and 24 are consecutive. On the other hand, the numbers 6, 8, and 10 are not ...
Angle and Triangle Relationships involving Real
... 8.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. 8.2: The student applies mathematical process standards to represent and use real numbers in a variety of forms. The student is expected to: 8.2A: Extend previous knowle ...
... 8.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. 8.2: The student applies mathematical process standards to represent and use real numbers in a variety of forms. The student is expected to: 8.2A: Extend previous knowle ...
An Investigation Relating Square and Triangular Numbers
... prompted me to write a very simple Maple (copyright, University of Waterloo) program to generate some data. (All programs referred to in the article are in an Appendix at the end of it. Here is the output. ...
... prompted me to write a very simple Maple (copyright, University of Waterloo) program to generate some data. (All programs referred to in the article are in an Appendix at the end of it. Here is the output. ...
Redwoods Symphony - Eastern Washington University
... that is congruent to the source number. This process of matching pitches with source numbers by congruence must begin by establishing a cyclical pattern of counting within the pitch range. As an example, again consider the set of source numbers [64, 81, 100, 121, 200]. If we wish to scale these numb ...
... that is congruent to the source number. This process of matching pitches with source numbers by congruence must begin by establishing a cyclical pattern of counting within the pitch range. As an example, again consider the set of source numbers [64, 81, 100, 121, 200]. If we wish to scale these numb ...
Progressive Mathematics Initiative www.njctl.org Mathematics
... Progressive Mathematics Initiative www.njctl.org Mathematics Curriculum Unit Plan #2 Title: Number System Grade Level: 7th Grade ...
... Progressive Mathematics Initiative www.njctl.org Mathematics Curriculum Unit Plan #2 Title: Number System Grade Level: 7th Grade ...
Number, Place Value and Algebra Ratio and Proportion
... I can calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres(cm3) and cubic metres (m3), and extending to other units e.g. mm3 and ...
... I can calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres(cm3) and cubic metres (m3), and extending to other units e.g. mm3 and ...
Most Merry and Illustrated Proof of Cantor`s Theorem on the
... Because each successive counting number maps either to zero or a counting number to a unique integer, the function pairs every counting number to a unique integer. Retranslated into plain English, this means there are as many counting numbers as integers. Specifically, the proof will proceed as foll ...
... Because each successive counting number maps either to zero or a counting number to a unique integer, the function pairs every counting number to a unique integer. Retranslated into plain English, this means there are as many counting numbers as integers. Specifically, the proof will proceed as foll ...
Natural Numbers - Abstractmath.org
... Notation The set of natural numbers may be denoted by N , but be careful because some authors include 0 in N and others do not. People sometimes write informally {1, 2, 3, 4, ...} for N (see below.) ...
... Notation The set of natural numbers may be denoted by N , but be careful because some authors include 0 in N and others do not. People sometimes write informally {1, 2, 3, 4, ...} for N (see below.) ...
handout - Colorado Math Circle
... 1. How many sequences of 1s and 2s sum to 10? For example, for the number 3, there are three sequences: 1 + 1 + 1, 1 + 2, and 2 + 1. ...
... 1. How many sequences of 1s and 2s sum to 10? For example, for the number 3, there are three sequences: 1 + 1 + 1, 1 + 2, and 2 + 1. ...
Irrational numbers
... • When comparing different forms of rational and irrational numbers, convert the numbers to the same ...
... • When comparing different forms of rational and irrational numbers, convert the numbers to the same ...
