Lesson 11. Sequences
... Can you explain how the diagrams grow? The first diagram is a 1 dot by 1 dot square, the 2nd diagram is 2 dots by 2 dots square and so on….. If you can’t remember the sequence of square numbers try to remember the diagrams and how they grow. This will help you to find the square numbers. ...
... Can you explain how the diagrams grow? The first diagram is a 1 dot by 1 dot square, the 2nd diagram is 2 dots by 2 dots square and so on….. If you can’t remember the sequence of square numbers try to remember the diagrams and how they grow. This will help you to find the square numbers. ...
PDF
... As abundant as they are, absolutely normal numbers are very difficult to find! Even Champernowne’s number is not absolutely normal. The first absolutely normal number was constructed by Sierpinski in 1916, and a related construction led to a computable absolutely normal number in 2002. Maybe the mo ...
... As abundant as they are, absolutely normal numbers are very difficult to find! Even Champernowne’s number is not absolutely normal. The first absolutely normal number was constructed by Sierpinski in 1916, and a related construction led to a computable absolutely normal number in 2002. Maybe the mo ...
Ch1 Algebra and functions Quadratic functions Equations and
... Chapter 2 – Quadratic equations Quadratic equations are equations with ‘x2’s in. An equation like 2x + 3 = 11 (a linear equation) has only one answer that makes it true (x = 4). Quadratic equations often (but not always) have two solutions that make them true. For example, take x2 – 5x + 6 = 0, the ...
... Chapter 2 – Quadratic equations Quadratic equations are equations with ‘x2’s in. An equation like 2x + 3 = 11 (a linear equation) has only one answer that makes it true (x = 4). Quadratic equations often (but not always) have two solutions that make them true. For example, take x2 – 5x + 6 = 0, the ...
Year 3 Maths Planning (Weekly) Term: Summer 1 Week: 2 (Lessons
... e.g. given 4 X 0.3 = 1.2, derive 0.3 X 4 = 1.2, 1.2 ÷ 4 = 0.3 and 1.2 ÷ 0.3 = 4 Teacher (with remainder of class): Explain that we will be looking at multiplication and division as ‘arrays’ and using each array to write 4 related number sentences, all using the same numbers Revise how an array is a ...
... e.g. given 4 X 0.3 = 1.2, derive 0.3 X 4 = 1.2, 1.2 ÷ 4 = 0.3 and 1.2 ÷ 0.3 = 4 Teacher (with remainder of class): Explain that we will be looking at multiplication and division as ‘arrays’ and using each array to write 4 related number sentences, all using the same numbers Revise how an array is a ...
Long division for integers
... We will work with only positive integers. While the theorems still hold for negative dividends, it is enough to get the idea of the theorems and their proofs by working with positive dividends. Although we will not go through this section in class, I am including it here in case you are interested, ...
... We will work with only positive integers. While the theorems still hold for negative dividends, it is enough to get the idea of the theorems and their proofs by working with positive dividends. Although we will not go through this section in class, I am including it here in case you are interested, ...
Polar Form of Complex Numbers
... Identify and simplify imaginary and complex numbers. Add and subtract complex numbers. Simplify powers of i. Multiply complex numbers. Use property of complex conjugates. Divide complex numbers. Solve quadratic equations for complex solutions. Convert between rectangular form and trigonometric (pola ...
... Identify and simplify imaginary and complex numbers. Add and subtract complex numbers. Simplify powers of i. Multiply complex numbers. Use property of complex conjugates. Divide complex numbers. Solve quadratic equations for complex solutions. Convert between rectangular form and trigonometric (pola ...
Polar Form of Complex Numbers
... of the complex number x + yi. The expression cos θ + i sin θ is sometimes abbreviated cis θ. Using this notation ...
... of the complex number x + yi. The expression cos θ + i sin θ is sometimes abbreviated cis θ. Using this notation ...
Polynomials: add/subtract, graphing - UW
... and begin working on the homework assignment. We expect all students to stay in the classroom to work on your homework till the end of the 55minute class period. If you have already finished the homework assignment for today’s section, you should work ahead on the next one or work on the next practi ...
... and begin working on the homework assignment. We expect all students to stay in the classroom to work on your homework till the end of the 55minute class period. If you have already finished the homework assignment for today’s section, you should work ahead on the next one or work on the next practi ...
Introduction To Logarithms
... In less formal terms, the log rules might be expressed as: 1) Multiplication inside the log can be turned into addition outside the log, and vice versa. 2) Division inside the log can be turned into subtraction outside the log, and vice versa. 3) An exponent on everything inside a log can be moved o ...
... In less formal terms, the log rules might be expressed as: 1) Multiplication inside the log can be turned into addition outside the log, and vice versa. 2) Division inside the log can be turned into subtraction outside the log, and vice versa. 3) An exponent on everything inside a log can be moved o ...
Math Review for Algebra and Precalculus
... types of expressions are integers, variables, monomials, polynomials, and so forth. We’ll deal mostly with expressions in one variable, such as the polynomial x 3 − x + 4. An identity between two expressions, written with an equals sign, is a statement that each expression can be obtained by rewriti ...
... types of expressions are integers, variables, monomials, polynomials, and so forth. We’ll deal mostly with expressions in one variable, such as the polynomial x 3 − x + 4. An identity between two expressions, written with an equals sign, is a statement that each expression can be obtained by rewriti ...
2.5 Zeros of Polynomial Functions 2.5 Zeros of Polynomial Functions
... Descartes’ Rule of Signs Arrange the terms of the polynomial P(x) in descending degree: • The number of times the coefficients of the terms of P(x) change sign = the number of Positive Real Roots (or less by any even number) • The number of times the coefficients of the terms of P(-x) change sign = ...
... Descartes’ Rule of Signs Arrange the terms of the polynomial P(x) in descending degree: • The number of times the coefficients of the terms of P(x) change sign = the number of Positive Real Roots (or less by any even number) • The number of times the coefficients of the terms of P(-x) change sign = ...
Signed and Floating Point Number Representation
... The result, 1100, is the code for -4, the result of subtracting +7 from +3. ...
... The result, 1100, is the code for -4, the result of subtracting +7 from +3. ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.