Expression Math
Expression math refers to the use of mathematical symbols, numbers, and operations to represent a mathematical statement or equation. It involves combining variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division to create mathematical expressions. These expressions can be used to represent real-world problems, solve equations, and communicate mathematical ideas.
3 Key excerpts on "Expression Math"
eBook - ePubMathematical Reasoning
Patterns, Problems, Conjectures, and Proofs
- Raymond Nickerson(Author)
- 2011(Publication Date)
- Psychology Press(Publisher)
...Like the brooms created by the Sorcerer’s Apprentice, they can take on a power and life of their own, giving birth to consequences that their creator did not expect, cannot control, and may even find repugnant. (Wilczek, 2003, p. 132) An equation is a mathematical expression composed of two parts separated by an equals (=) sign; it expresses what would appear to be the most straightforward of all relationships—equality. This equals that; the part to the left of the sign is said to equal, or be equivalent to, the part to the right of it. What could be simpler and more mundane? And yet the concept is an enormously powerful one. If one has a valid equation—valid in the sense that the two parts are indeed equal or equivalent—then the parts will remain equal or equivalent no matter how many legitimate mathematical operations one performs on them, so long as one always performs the same operation on both parts. Examples of simplifications in representations in the interest of economy of expression are easy to find in any field with a history. In mathematics the invention of symbolic algebra represented an enormous economy of expression over the syncopated algebra that preceded it and the rhetorical algebra that preceded that. Consider how the Greeks expressed the idea of a constant ratio in the time of Plato: Whenever among three numbers, whether solids or any other dimension, there is a mean, so that the mean is to the last term as the first term is to the mean, and when (therefore) the mean is to the first term as the last term is to the mean, then, the mean becoming both first and last, and the first and last both becoming means, all things will of necessity come to be the same, and being the same, all will be one. (Bell, 1946/1991, p...
- Caryl Lorandini(Author)
- 2021(Publication Date)
- Barrons Educational Services(Publisher)
...If we are writing an expression about dogs, you may want to use the letter d to help you associate the two. An expression that results in a number is a numeric expression. An expression that contains a variable is an algebraic expression. An algebraic expression can have the variable substituted and become a numeric expression. An expression does not contain any relation symbols such as <, >, ≤, ≥, =, or ≠. x + 2 x is the unknown or variable; 2 is the constant 3 y 3 is the coefficient; y is the variable Using symbols is like writing in shorthand. Capital letters are reserved for formulas. A = lw The capital A represents the area. The l is for length and the w is for width. This is much shorter than having to write out “area of a rectangle is the product of the length and the width.” V = e 3 The capital V is for volume. The e is for edge. Again, this is much shorter than writing out “volume of a cube is the cube of the edge.” EXAMPLE 5.1 Determine and state whether the term is a monomial, binomial, or trinomial. Classify each part as coefficient, variable, exponent, or constant. 1) 2 x 2) 2 x 3 3) 3 x + 7 4) 4 x 2 + 21 x – 3 5) 4 a 2 b 3 6) 5 a – b SOLUTIONS 1) Monomial, 2 is a coefficient, x is a variable 2) Monomial, 2 is a coefficient, x is a variable, 3 is an exponent 3) Binomial, 3 is a coefficient, x is a variable, 7 is a constant 4) Trinomial, 4 and 21 are coefficients, x is a variable, 2 is an exponent, –3 is a constant 5) Monomial, 4 is a coefficient, a and b are variables, 2 and 3 are exponents 6) Binomial, 5 is a coefficient, a and b are variables 5.2 Writing Expressions Expressions are written using variables, numbers, and. operation signs. More complicated expressions will contain parentheses or other grouping symbols. It is important to know key phrases for the operations. Many times words have the same meaning whenever they are used in a statement. However, be careful to always look for context clues and negations...
eBook - ePubMath Lesson Starters for the Common Core, Grades 6-8
Activities Aligned to the Standards and Assessments
- Paige Graiser(Author)
- 2014(Publication Date)
- Routledge(Publisher)
...Unit 3 CCSS-M Domain EE Expressions & Equations The human mind has never invented a labor-saving machine equal to algebra. Author Unknown Expressions & Equations During the middle grades, students will develop an understanding of the use of variables in mathematical expressions and equations. The introduction of variables into mathematics tends to be a sticking point for many students (and their parents), but this will not be a new concept since all elementary students are asked to solve problems such as 2 + □ = 7 or 8 − ? = 5 (with □ and ? acting as variables in these examples). Student work in this standard will include writing expressions that correspond to given situations, the evaluation of expressions, and the use of formulas to solve real-world problems. Students will learn that the solutions of an equation are the number values of the variables that make the equation true. Students will also use the notion of maintaining the balance of both sides of an equation to solve equations. Students in grade 6 will begin solving one-step equations but will progress to multistep equations by grade 7. Sixth Grade In grade 6, students will begin to understand the use of variables in mathematical expressions. They will write simple expressions and equations that correspond to real-world situations, evaluate expressions, and use expressions and simple formulas to solve real-world problems. Students will learn that the solutions of an equation are the values that can be assigned to the variables that make an equation true. To round out their study of expressions and equations, sixth-grade students will construct and analyze tables and will use equations (such as 6 x = y) to describe the relationships between quantities. Seventh Grade Students in grade 7 will progress to solving multistep real-life problems that involve both positive and negative rational numbers. These problems will contain whole numbers, fractions, and decimals...
