        # Standards

Wing 1
Cafeteria | Testing Labs | Assembly Line

Wing 2
Lounge | Shipping | Vats

Wing 3
Garden | Mine Shaft | Warehouse

 WING ONE: PROPORTION, RATIOS, FRACTIONS THE EMPLOYEE'S CAFETERIA, THE MANAGER'S CAFETERIA, AND THE EXECUTIVE CAFETERIA PUZZLES IN THIS GAME: Players have to feed exactly the right proportions of food to a group of very hungry monsters. Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Equivalent ratios, proportional reasoning 7 Grade 7: DOMAIN: Ratios and Proportional Relationships Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. Standard: 7.RP.2: Recognize and represent proportional relationships between quantities. Standard: 7.RP.2a. Decide whether two quantities are in a proportional relationship. Standard: Number and Operations Grade 7 Lesson Plans Equivalent Ratios Proportional Reasoning (1/2) Proportional Reasoning (2/2)

 WING ONE: PROPORTION, RATIOS, FRACTIONS THE TESTING LABS 1, 2, AND 3 PUZZLES IN THIS GAME: Players create pet food from ever-changing recipes ... and never the right measuring equipment. Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Algebraic Expressions 6 Grade 6: DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers. a. Write expressions that record operations with numbers and with letters standing for numbers.c. Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Standard: 6.EE.3 Apply the properties of operations to generate equivalent expressions. Standard: 6.EE.6 Use variables to represent numbers and write expressions when solving a realworld 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. Standard: Algebra Grade 6 Lesson Plan Write and Evaluate Expressions Fractions, adding, subtracting, multiplying 5 Grade 5 DOMAIN: Number and Operations—Fractions Cluster: Use equivalent fractions as a strategy to add and subtract fractions. Standard: 5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. Standard: 5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Grade 5 Lesson Plan Add, Subtract and Multiply Fractions Fractions, equivalent 6 Grade 6: DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.a. Write expressions that record operations with numbers and with letters standing for numbers.c. Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Standard: 6.EE.3 Apply the properties of operations to generate equivalent expressions. Standard: 6.EE.6 Use variables to represent numbers and write expressions when solving a realworld 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. Standard: Numbers and Operations Grade 6 Lesson Plan Write and Evaluate Expressions

 WING ONE: PROPORTION, RATIOS, FRACTIONS ASSEMBLY LINE 1, 2, AND 3 PUZZLES IN THIS GAME: Players adjust gear ratios to make a ped food assembly line run smoothly Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Ratio 6 and 7 Grade 6: DOMAIN: Ratios and Proportional Relationships Cluster: Understand ratio concepts and use ratio reasoning to solve problems. Standard: 6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Standard: 6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship. Standard: 6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems. Grade 7: DOMAIN: Ratios and Proportional Relationships Cluster: Analyze proportional relationships and use them to solve real-world and mathematical problems. Standard: 7.RP.1: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like and or different units. Standard: 7.RP.2: Recognize and represent proportional relationships between quantities. 2a. Decide whether two quantities are in a proportional relationship. Standard: Number and Operations Grade 6 Lesson Plan Ratios Grade 7 Lesson Plans Determine Ratios

 WING TWO: SOLVING FOR VARIABLES THE LOUNGE PUZZLES IN THIS GAME: Players select the right combination of eyeballs to obtain tasty treats. Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Algebraic Expressions 6 Grade 6: DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.a. Write expressions that record operations with numbers and with letters standing for numbers.c. Evaluate expressions at specific values for their variables. Grade 6: DOMAIN: Expressions and Equations Cluster: Reason about and solve one-variable equations and inequalities. Standard: 6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. Standard: 6.EE.6 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. Standard: Algebra Grade 6 Lesson Plan Algebraic Expressions

 WING TWO: SOLVING FOR VARIABLES THE SHIPPING PUZZLES IN THIS GAME: Players decipher symbols in order to package jars of pet food for shipment. Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Representing Numbers in Different Bases 5 Grade 5 DOMAIN: Number and Operations in Base Ten Cluster: Understand the place value system Standard: 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Standard: Numbers and Operations Grade 5 Lesson Plan Representing Numbers in Other Bases Fractions, adding, subtracting, multiplying 6 Grade 6 DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which letters stand for numbers.a. Write expressions that record operations with numbers and with letters standing for numbers.c. Evaluate expressions at specific values for their variables. Grade 6 DOMAIN: Expressions and Equations Cluster: Reason about and solve one-variable equations and inequalities. Standard: 6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. Standard: 6.EE.6 Use variables to represent numbers and write expressions when solving a realworld 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. Standard: 6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. Standard: Algebra Grade 6 Lesson Plan Solving Equations

 WING TWO: SOLVING FOR VARIABLES THE VATS PUZZLES IN THIS GAME: Players must mix the vats and collect dinosaur eggs, while avoiding the green blob ... Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Algebraic Expressions 8 Grade 8 DOMAIN: Functions Cluster: Use functions to model relationships between quantities. Standard: 8.F.4: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. Standard: Algebra Grade 8 Lesson Plan Write Algebraic Expressions Fractions, adding, subtracting, multiplying 8 Grade 8 DOMAIN: Functions Cluster: Use functions to model relationships between quantities. Standard: 8.F.4: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. High School DOMAIN: Functions Cluster: Build a function that models a relationship between two quantities. Standard: F.BF.1 Write a function that describes a relationship between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from a context. Standard: Algebra High School Lesson Plan Function Rules

 WING THREE: NUMBERS AND OPERATIONS THE GARDEN PUZZLES IN THIS GAME: Players have to plant and grow crops ... and watch out for gnomes! Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Area and Perimeter 6 Grade 6 DOMAIN: Expressions and Equations Cluster: Reason about and solve one-variable equations and inequalities. Standard: 6.EE.7 Solve realworld and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. Standard: Measurement Grade 6 Lesson Plan Area and Perimeter

 WING THREE: NUMBERS AND OPERATIONS THE MINE SHAFT PUZZLES IN THIS GAME: Players have to place the polygonal robots in the correct path and avoid all the obstacles! Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Multiples 6 Grade 6 DOMAIN: Expressions and Equations Cluster: Reason about and solve one-variable equations and inequalities. Standard: 6.EE.6 Use variables to represent numbers and write expressions when solving a realworld 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. Standard: Algebra Grade 6 Lesson Plan Multiples Slope 8 Grade 8 DOMAIN: Expressions and Equations Cluster: Understand the connections between proportional relationships, lines, and linear equations. Standard: 8.EE.5: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Grade 8 DOMAIN: Functions Cluster: Define, evaluate, and compare functions. Standard: 8.F.1: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Standard: 8.F.2: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Standard: 8.F.3: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. Standard: 8.F.4: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. Standard: Algebra Grade 8 Lesson Plan Slope

 WING THREE: NUMBERS AND OPERATIONS THE WAREHOUSE PUZZLES IN THIS GAME: Players create electrical fields in order to trap the gremlings! Math Topics Grade Levels Related CCSS Domain, Cluster and Standards Related National Standards Lesson Plans Adding Integers 6 and 7 Grade 6 DOMAIN: The Number System Cluster: Apply and extend previous understandings of numbers to the system of rational numbers. Standard: 6.NS.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, debits/credits, positive/negative electric charge); use positive and negative numbers to represent quantities in realworld contexts, explaining the meaning of 0 in each situation. Standard: 6.NS.6 Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite. Grade 7 DOMAIN: The Number System Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Standard: 7.NS.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, and represent addition and subtraction on a horizontal or vertical number line diagram.1a. Describe situations in which opposite quantities combine to make 0.1b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Standard: Numbers and Operations Grade 7 Lesson Plan Adding Integers 