# ALEX Lesson Plan

## Factorials: Let's have a Dinner Party!

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This lesson provided by:
 Author: Lynda Wilder System: Blount County School: Hayden Middle School The event this resource created for: CCRS General Lesson Information
 Lesson Plan ID: 33157 Title: Factorials: Let's have a Dinner Party! Overview/Annotation: In collaborative groups of four, students will act out a dinner party where four dinner guests will attend. The students must act out the different ways to arrange four dinner guests. This is a College- and Career-Ready Standards showcase lesson plan.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 6 17 ) Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. [6-EE6] NAEP Framework NAEP Statement:: 8A4a: Solve linear equations or inequalities (e.g., ax + b = c or ax + b = cx + d or ax + b > c). NAEP Statement:: 8A4b: Interpret "=" as an equivalence between two expressions and use this interpretation to solve problems. Alabama Alternate Achievement Standards AAS Standard: M.AAS.6.17- Match a phrase to the corresponding one- step one-variable expression (e.g., "a number plus 3" matches "x + 3"). Mathematics MA2019 (2019) Grade: 6 15. Write, read, and evaluate expressions in which letters represent numbers in real-world contexts. a. Interpret a variable as an unknown value for any number in a specified set, depending on the context. b. Write expressions to represent verbal statements and real-world scenarios. c. Identify parts of an expression using mathematical terms such as sum, term, product, factor, quotient, and coefficient. d. Evaluate expressions (which may include absolute value and whole number exponents) with respect to order of operations. Unpacked Content Evidence Of Student Attainment:Students: Given contextual or mathematical problems both when known models exist (for example formulas) or algebraic models are unknown, Interpret the parts of the model in the original context. Create the algebraic model of the situation when appropriate. Use appropriate mathematical terminology to communicate the meaning of the expression. Evaluate the expressions for values of the variable including finding values following conventions of parentheses and order of operations.Teacher Vocabulary:Expressions Term Coefficient Sum Product Factor Quotient Variable Constant Difference Evaluate Order of Operations Exponent Absolute ValueKnowledge:Students know: Correct usage of mathematical symbolism to model the terms sum, term, product, factor, quotient, variable, difference, constant, and coefficient when they appear in verbally stated contexts. Conventions for order of operations. Convention of using juxtaposition (5A or xy) to indicate multiplication.Skills:Students are able to: Translate fluently between verbally stated situations and algebraic models of the situation. Use operations (addition, subtraction, multiplication, division, and exponentiation) fluently with the conventions of parentheses and order of operations to evaluate expressions for specific values of variables in expressions. Use terminology related to algebraic expressions such as sum, term, product, factor, quotient, or coefficient, to communicate the meanings of the expression and the parts of the expression.Understanding:Students understand that: The structure of mathematics allows for terminology and techniques used with numerical expressions to be used in an analogous way with algebraic expressions, (the sum of 3 and 4 is written as 3 + 4, so the sum of 3 and y is written as 3 + y). When language is ambiguous about the meaning of a mathematical expression grouping, symbols and order of operations conventions are used to communicate the meaning clearly. Moving fluently among representations of mathematical situations (words, numbers, symbols, etc.), as needed for a given situation, allows a user of mathematics to make sense of the situation and choose appropriate and efficient paths to solutions.Diverse Learning Needs: Essential Skills:Learning Objectives: M.6.15.1: Define algebraic expression and variable. M.6.15.2: Convert mathematical terms to mathematical symbols and numbers. M.6.15.3: Translate verbal and numerical expression using all operations. M.6.15.4: Define coefficient, constant and term. M.6.15.5: Match mathematical terms with correct mathematical symbols. M.6.15.6: Convert mathematical terms to mathematical symbols and numbers. M.6.15.7: Calculate an expression in the correct order. with or without a calculator (Ex. exponents, mult./div. from left to right, and add/sub. from left to right). M.6.15.8: Choose the correct value to replace each variable in the algebraic expression (Substitution). M.6.15.9: Calculate a numerical expression, with or without a calculator (Ex. V=4x4x4). M.6.15.10: Recognize the correct order to solve expressions with more than one operation. Prior Knowledge Skills:Recognize key terms to solve word problems. Examples: times, every, at this rate, each, per, equal/equally, in all, total. Recognize key terms to solve word problems. Examples: times, every, at this rate, each, per, equal/equally, in all, total. Define simple expression. Recall simple equations. Recognize properties of addition and multiplication. Recall addition, subtraction, multiplication, division symbols. Define parentheses, braces, and brackets. Define numerical expression. Recognize expressions. Apply properties of operations as strategies to add and subtract. Recall properties of operations as strategies to add and subtract. Represent addition and subtraction with objects, mental images, drawings, expressions, or equations. Use addition, subtraction, multiplication and division to solve one- and two-step word problems. Recognize key terms to solve word problems. Apply properties of operations as strategies to multiply and divide. Apply the area and perimeter formulas for rectangles in real-world and mathematical problems. Recall the formula for area (L × W). Recognize that unit squares are equal. Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W). Recall basic addition and multiplication facts. Alabama Alternate Achievement Standards AAS Standard: M.AAS.6.15 Evaluate algebraic expressions when given specific values for the variables (e.g. x + 2, where x = 4).

Local/National Standards:

Mathematical Practice Standards:

3.  Construct viable arguments and critique the reasoning of others.

7.  Look for and make use of structure.

8.  Look for  and express regularity in repeated reasoning.

Primary Learning Objective(s):

Students will use a real-life problem to calculate permutations and/or factorials.