Sentences with phrase «as algebraic»

In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity.»

Most math teachers are comfortable with subjects such as algebraic thinking and geometry, but less so with discrete mathematics.

You can choose between interior and exterior angles, as well as an algebraic expression for the unknown angle.

Within the larger landscape of algebra, we focus here on an aspect of algebra that many mathematics educators refer to as algebraic reasoning (e.g., Kaput 1999), which includes using arithmetic for generalizing, working with patterns to describe functional relationships, and modeling as a way to formalizing generalizations.

This product includes: • 4 links to instructional videos or texts • 3 links to practice quizzes or activities • Definitions of key terms, such as algebraic equation and inverse operations • Examples of how to isolate variables in algebraic equations • Exercises that allow students to practice writing one - step algebraic equations to solve problems, including real - world problems • An accompanying Teaching Notes file The Teaching Notes file includes: • A review of key terminology • Links to video tutorials for students struggling with certain parts of the standard, such as using the incorrect operation on each side of the equation when solving for the variable • Links to additional practice activities or quizzes

The questions range from easy (spot the prime number) to moderate such as algebraic substitution.

Students break down difficult mathematical concepts, such as algebraic equations, into their basic parts, figure out how those parts relate to one another, then re-create the equation creatively.

This product has 60 Task Cards to provide practice in expressing a phrase as an algebraic expression.

While the transcript is still in its infancy, organizers say it will resemble a website that each school will be able customize by choosing from a menu of skills like critical thinking, creativity, and self - directed learning, along with core content areas such as algebraic reasoning.

Later in chapter five, statements about variables and numbers, such as algebraic equations, are called algebraic forms, which Whitehead does not define because «the conception of form is so general that it is difficult to characterize it in abstract terms» (TM 45).

Not exact matches

This adjustment has historically been important, as adjusting for that embedded profit margin significantly improves the relationship between the CAPE and actual subsequent market returns (something we can demonstrate both with algebraic return estimates and regression models — see Margins, Multiples, and the Iron Law of Valuation).

«The algebraic function,» as Harris quite rightly says, «is expressed by and immanent in a spatial figure» and is «universal to its particular manifestations» (AT 74).

In any event Whitehead uses the algebraic method as an example of how one can with precision express pattern within process, necessity amidst accident.

While Universal Algebra does have its moments, it is rich mathematically only insofar as Whitehead transcends the generality of his algebraic manifolds and deals in the specifics of Boolean algebra or Grassmannian manifolds.

Universal Algebra, in precisely this sense, is a poor framework for mathematics insofar as it unites spatial manifolds and symbolic logic by introducing the common notion of an algebraic manifold (Whitehead's terminology) or a semi-group (current standard terminology), an object with very little structure or intrinsic interest.9 In this case, generalization comes at the expense of abstract sterility.

As a definition it is algebraic.

One might say that hierarchical thinking relates to linear causality as the theory of algebraic functions relates to elementary arithmetic.

The point on a plane is represented in algebra by its two coordinates x and y, and the condition satisfied by any point on the locus is represented by the corresponding correlation between x and y. Finally to correlations expressible in some general algebraic form, such as ax + by = c, there correspond loci of some general type, whose geometrical conditions are all of the same form.

Since completing the work that secured his reputation, he has applied tools such as l - adic cohomology to extend algebraic geometry and to relate it to other areas of maths.

The rationals aren't closed under algebraic functions such as taking square roots.

Cindy Bryant [email protected] served 25 years teaching mathematics, is a former member of the National Council of Teachers of Mathematics (NCTM) Board of Directors, a Presidential Awardee for Excellence in Mathematics Teaching, former Director of K — 12 Mathematics for the state of Missouri, 2014 Singapore Institute for Math Specialist in International Schools (MSIS) Operations & Algebraic Thinking (K - 8) Lead Instructor, previously served as the Director of Learning for LearnBop, and currently serves as an independent educational specialist.

In addition to practice with basic number facts, the puzzles also encourage development of skills needed for algebraic thinking, such as thinking backward, solving for an unknown, and eliminating solutions.

Included are 2 documents: Algebraic Words Pairs: Intended as a matching activity, students are required to match up words (such as expression, term, variable etc) with their definitions and an example.

Back in 2004, a study by Tisa Lach and Lynae Sakshaug had already shown that middle school students made significant improvements in algebraic reasoning, spatial sense, and problem - solving abilities after playing biweekly sessions of popular tabletop games such as Connect Four, Mastermind, Rush Hour, and Guess Who.

These examples are followed by 10 questions which require substitution of algebraic terms into such area formulae as per the 3 examples provided.

In this lesson, learners are able to: 1) solve 2 simultaneous equations in 2 variables (linear / linear or linear / quadratic) algebraically; 2) find approximate solutions using a graph 3) translate simple situations or procedures into algebraic expressions or formulae; derive an equation (or 2 simultaneous equations), Lesson can be used as whole class teaching by teachers and at home by learners.

Not only that, math magic creates a new context for algebraic reasoning as students go beyond «What's the answer?»

Before doing this task they should have covered algebraic versions of simultaneous equations, as well as linear graph plotting.

I designed this set of task cards as a companion set to my 4th Grade Task Cards for Solving Word Problems Using Algebraic Equations - Common Core Standards: 4.

All the questions are purely algebraic but a contextual problem could be used as a nice plenary.

The questions feature some challenging topics including rearranging fractional equations, expanding more than one brackets, manipulating and solving algebraic fractions with both addition and division, algebraic proofs that include some well known theories, as well as some rewriting of equation questions, factorising, completing the square and solving of quadratic equations and inequalities where the coefficient of x ^ 2 is greater than one, as well as where the question is set up through scenarios, finding the nth term of quadratic sequences and working with the Fibonacci sequence, working with quadratic simultaneous equations, composite and inverse functions, and a variety of graph transformation questions.

Other class periods can be designated as «choose your own approach» problem - solving sessions, during which students might opt to represent problems with manipulatives, other pictorial representations, algebraic notation, or mental math.

Students can further explore the game, as well as extended algebraic concepts, through additional interactive challenges on the site.

It has the potential to lead to algebraic manipulation of fractions as learners generalise and justify their findings

(HA) The lesson consists of: A powerpoint to introduce the lesson A set of algebraic problems are provided to be cut and distributed in three areas of the classroom A score card is provided to allow children to compete as equals while Teachers / TAs mark each question before children are free to move on to the next.

Exercise A is on the differentiation of simple algebraic functions and is suitable for AS Level.

I used it as a preparation for teaching simplifying algebraic expressions too and to help year 11 to review and make sense of the same topic.

A series of lessons which could be used as a basis of a series of lessons to develop algebraic skills.

Designed for 6th grade but is awesome in other grades as a lead in to algebraic equations.

Intense small - group activity as students race in adding algebraic expressions to the top of the pyramid.

Topics included are: Area of a regular shape Simplifying algebraic expressions Solving simple equations removal of brackets Finding the percentage of a quantity Expressing as a percentage Compound interest Fractions (add, multiply, divide) Probability of a single event Probability when a spinner is spun twice Dividing into a given ratio Conversion of metric units Distance, Speed, Time Density, Mass, Volume

This card activity for algebraic substitution can be used as a starter, recap or developmental activity.

Full lesson, including an introduction to negative numbers Simplify and manipulate algebraic expressions (including those involving surds) by: multiplying a single term over a bracket, taking out common factors, simplifying expressions involving sums Interpret algebraic manipulation, including: numbers written as fractions rather than as decimals brackets

In this activity, students will combine like terms of algebraic expressions as they tap into their creative side!

A BINGO activity with simplifying algebraic expressions - great to use as a plenary activity or as a starter with an able group to introduce expanding brackets.

Generalisation provokes the need to use algebraic techniques such as collecting like terms and representing number sequences algebraically.

Young men with athletic ability in sports such as Football or Basketball were considered heroes, regardless of their ability to solve algebraic equations, or write short stories effectively.

These lessons are suitable for higher GCSE pupils especially «AS and A level,» students The author provides a step by step method of using the long division metod to divide algebraic fractions and polynomials and then he goes on to provide a very fast method of dividing algebraic divisions and complex polynomials which saves the pupils enormous time and effort for doing the same work.

These resources are also very useful as a revision tool at the start of the AS - level course, making sure that all students have a good starting level of fluency in algebraic fractions and indiceas a revision tool at the start of the AS - level course, making sure that all students have a good starting level of fluency in algebraic fractions and indiceAS - level course, making sure that all students have a good starting level of fluency in algebraic fractions and indices.

All tasks lead into problem solving questions aswell as allowing all pupils simplify algebraic fractions by factorising.