In the past, you've evaluated numerical expressions by using the order of operations. We are going to use these same rules to evaluate algebraic expressions. What is an Algebraic Expression? An Algebraic expression is an expression that you will see most often once you start Algebra.

MP1 Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals.

They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution.

They monitor and evaluate their progress and change course if necessary.

Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need.

Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem.

Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?

MP2 Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.

MP3 Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures.

They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others.

They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and—if there is a flaw in an argument—explain what it is.

Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades.

Later, students learn to determine domains to which an argument applies.An Algebraic expression is an expression that you will see most often once you start Algebra. In Algebra we work with variables and numerals.. A variable is a symbol, usually a letter, that represents one or more numbers..

Thus, an algebraic expression consists of numbers, variables, and operations. Math Chimp has the best 6th grade math games online. Our games are all free and organized by the common core state standards for math.

Come visit us and play the best 6th grade math games. Test and improve your knowledge of Writing Algebraic Expressions with fun multiple choice exams you can take online with attheheels.com Video: Practice Simplifying Algebraic Expressions In this lesson, we'll practice simplifying a variety of algebraic expressions.

We'll use two .

The core idea in algebra is using letters to represent relationships between numbers without specifying what those numbers are! Variable and Verbal Expressions Date_____ Period____ Write each as an algebraic expression. 1) the difference of 10 and 5 10 − 5 2) the quotient of 14 and 7 14 7 3) u decreased by 17 u − 17 4) half of 14 14 2 5) x increased by 6 x + 6 6) the product of x and 7 x ⋅ 7.

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