7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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2 1 Game Terminal Objectives <=> CCSS Alignment: Whole Numbers A B C D E F G Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Whole Numbers Given an equation or expression, identify the property of multiplication or addition that is used..ns.a.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. -Apply properties of operations as strategies to add and subtract rational numbers. Identifying the Properties of Addition and Multiplication Whole Numbers Evaluate expressions using order of operations, and indicate the order of operations to be performed..ee.a.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with.ee.a.1 Write and evaluate numerical expressions involving whole-number exponents..ee.a.a Write, read, and evaluate expressions in which letters numbers in any form; convert between forms as appropriate; and stand for numbers. assess the reasonableness of answers using mental -Write expressions that record operations with numbers and with letters standing for numbers..ee.a.c Write, read, and evaluate expressions in which letters stand for numbers. -Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). Evaluating Expressions Using the Order of Operations Whole Numbers Use divisibility rules to determine factors.ns.a.. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. -Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then (p/q) = ( p)/q = p/( q). Whole Numbers Whole Numbers Whole Numbers Given or more whole numbers, identify the greatest common factor, GCF. Identify the least common multiple, LCM, for or more whole numbers. Write an algebraic expression given a verbal phrase..ee.a. Apply the properties of operations to generate equivalent expressions..ns.b. Fluently divide multi-digit numbers using the standard algorithm..ns.b.. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 1..NS.B.. Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 1..EE.A.1 Write and evaluate numerical expressions involving whole-number exponents..ee.a.a Write, read, and evaluate expressions in which letters stand for numbers. -Write expressions that record operations with numbers and with letters standing for numbers..ee.a.b Write, read, and evaluate expressions in which letters stand for numbers. -Identify parts of an expression using mathematical terms. Using the Divisibility Rules Listing Factors Identifying GCF Identifying LCM Writing Algebraic Expressions 9 Whole Numbers Whole Numbers Given an expression with multiple terms of.ee.c.. Solve linear equations in one variable. only one degree, simplify by combining like -Solve linear equations with rational number coefficients, terms. including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Given a numerical value for variable, evaluate the expression..ns.a. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. -Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts..ee.a.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental.ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with.ee.b. 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..ee.a. Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them)..ee.a.c Write, read, and evaluate expressions in which letters stand for numbers. -Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world numbers in any form; convert between forms as appropriate; and problems. Perform arithmetic operations, including those assess the reasonableness of answers using mental involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations)..EE.A. Apply the properties of operations to generate equivalent expressions. Simplifying Expressions by Combining Like Terms Evaluating Expressions

3 Game Terminal Objectives <=> CCSS Alignment: Integers 1 A B C D E F G H I Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Integers Given a set of numbers, identify the integers and be able to graph integer(s) on a number line..ns.c. Understand a rational number as a point on the number line. 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. Identifying Integers Integers Integers Identify the absolute value of any given integer and the opposite of any given integer..ns.a.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. -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). Interpret sums of rational numbers by describing real-world contexts. -Describe situations in which opposite quantities combine to make 0..NS.C. 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, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation..ns.c.a Understand a rational number as a point on the number line. 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. -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., -(-) =, and that 0 is its own opposite. Identifying Opposite Integers & Absolute Value.NS.C.c Understand ordering and absolute value of rational numbers. -Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a realworld situation. Integers Compare two integers using inequalities and be able.ee.b. Solve multi-step real-life and mathematical.ns.c.d Understand ordering and absolute value of Comparing Integers to list a set of integers from least to greatest or problems posed with positive and negative rational numbers rational numbers. greatest to least. in any form (whole numbers, fractions, and decimals), using -Distinguish comparisons of absolute value from statements tools strategically. Apply properties of operations to calculate about order. with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation. strategies. Integers Use integers to model real-life situations..ns.c. Understand that positive and negative numbers are Modeling Real-Life Situations used together to describe quantities having opposite Using Integers directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. Integers Perform basic operations (addition, subtraction, multiplication, division) with two integers of like or unlike signs..ns.a.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. -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). Interpret sums of rational numbers by describing real-world contexts. -Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. Adding Integers with Like Signs Adding Integers with Unlike Signs Subtracting Integers Multiplying and Dividing Integers.NS.A.. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. -Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts. -Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts. -Apply properties of operations as strategies to multiply and divide rational numbers. Integers Given two or more integers, add or subtract as specified..ns.a. Solve real-world and mathematical problems.ns.a.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. -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). Interpret sums of rational numbers by describing real-world contexts. -Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. Combining Integer Addition and Subtraction Integers Given a numerical expression with or more integers, use the order of operations and the rules of integer multiplication and division to solve..ns.a.. Solve real-world and mathematical problems involving the four operations with rational numbers..ns.a.. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Combining Multiplication and Division of Integers.NS.A.. Solve real-world and mathematical problems involving the four operations with rational numbers..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental

4 Game Terminal Objectives <=> CCSS Alignment: Fractions And Decimals 1 A B C D E F G H I Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Fractions and Decimals Prerequisite Review: -Write a fraction in simplest form. -Convert mixed numbers to and from improper fractions. -Write an integer as a fraction. -Round decimal numbers to a specified place value. Writing an Integer as a Fraction or Decimal Identifying Place Value & Rounding Decimals Converting Mixed Numbers and Improper Fractions Fractions and Decimals Fractions and Decimals Fractions and Decimals Define real, rational, irrational, integer, whole, or natural number. Given a fraction, identify the type of fraction shown (proper, mixed, or improper) and identify the numerator and denominator. Given a number, classify the number as real, rational/irrational, integer, whole, and/or natural..ns.a.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number..ns.a.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental.ns.a.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Defining Rational and Irrational Identifying Parts & Types of a Fraction Classifying Numbers Classifying Numbers Writing Fractions in Simplest Form Fractions and Decimals Perform basic operations (addition and subtraction) with two fractions. -Given two fractions with like or unlike denominators, add or subtract as specified. -Given a word problem, write an expression and evaluate..ee.a. Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that the square root of is irrational..ns.a.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. -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). Interpret sums of rational numbers by describing real-world contexts. -Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. -Apply properties of operations as strategies to add and subtract rational numbers. Adding Fractions with Like Denominators Subtracting Fractions with Like Denominators Adding Fractions with Unlike Denominators Subtracting Fractions with Unlike Denominators.NS.A.. Solve real-world and mathematical problems involving the four operations with rational numbers..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental

5 Game Terminal Objectives <=> CCSS Alignment: Fractions And Decimals A B C D E F G H I Fractions and Decimals Perform basic operations (multiplication.ns.a.. Apply and extend previous.ns.a.1 Interpret and compute quotients of Multiplying Fractions Dividing Fractions and division) with fractions. understandings of multiplication and division and of fractions, and solve word problems involving -Given a two or more improper, proper, and/or mixed numbers, multiply fractions, showing the product in simplest form. -Given a subset of improper, proper, and mixed numbers, divide fractions, showing the quotient in simplest form. -Given a word problem, write an expression and evaluate. fractions to multiply and divide rational numbers. -Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing realworld contexts. -Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts. -Apply properties of operations as strategies to multiply and divide rational numbers. division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem..ns.a.. Solve real-world and mathematical problems involving the four operations with rational numbers. Fractions and Decimals Perform basic operations with decimal numbers. -Given two or more decimal numbers, evaluate the numerical expression (addition, subtraction, multiplication, or division). -Given two decimal numbers, evaluate the expression, rounding to the indicated place value when necessary. -Given a word problem, write an expression and evaluate..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental.ns.a.1. Apply and extend previous.ns.b. Fluently add, subtract, multiply, and understandings of addition and subtraction to add divide multi-digit decimals using the standard and subtract rational numbers; represent addition algorithm for each operation. and subtraction on a horizontal or vertical number line diagram. -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). Interpret sums of rational numbers by describing real-world contexts. -Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. -Apply properties of operations as strategies to add and subtract rational numbers. Adding Decimal Numbers Subtracting Decimal Numbers Multiplying Decimal Numbers Dividing Decimal Numbers.NS.A.. Solve real-world and mathematical problems involving the four operations with rational numbers. 9 Fractions and Decimals Compare fractions and/or decimals. -Given two or more fractions, compare order (from least to greatest when specified). -Given a fraction and a decimal, compare using an inequality symbol..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental.ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental.ns.c.d Understand ordering and absolute value Comparing Fractions and of rational numbers. Decimal Numbers -Distinguish comparisons of absolute value from statements about order.

6 Game Terminal Objectives <=> CCSS Alignment: Fractions And Decimals A B C D E F G H I Fractions and Decimals Given a fraction, convert to decimal (to.ns.a.1 Know that numbers that are not rational.ns.a.. Apply and extend previous Converting Fractions to the nearest thousandth when are called irrational. Understand informally that understandings of multiplication and division and of Decimal Numbers specified). every number has a decimal expansion; for rational fractions to multiply and divide rational numbers. numbers show that the decimal expansion repeats -Convert a rational number to a decimal using long eventually, and convert a decimal expansion which division; know that the decimal form of a rational repeats eventually into a rational number. number terminates in 0s or eventually repeats..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental 10

7 Game Terminal Objectives <=> CCSS Alignment: Exponents And Roots 1 9 A B C D E F G H Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Exponents and Roots Identify base and exponent, and evaluate powers containing positive or negative exponents. Represent expressions with only positive exponents..ee.a.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions..ee.a.1 Write and evaluate numerical expressions involving whole-number exponents. Evaluating Powers Identifying Exponents and Bases Exponents and Roots Exponents and Roots Exponents and Roots Given a number, identify as either prime or composite. Represent the number in prime factorization using exponents when possible. Given a monomial, factor using prime numbers or coefficients. Identify the square root of a perfect square and the cube root of a perfect cube..ee.a.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions..ee.a.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions..ee.a.. Use square root and cube root symbols to represent solutions to equations of the form x =p and x = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that is irrational. Exponents and Roots Estimate the square root to the nearest whole number..ns.a.. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram,.ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), and estimate the value of expressions (e.g., using tools strategically. Apply properties of π). operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. Exponents and Roots Exponents and Roots Exponents and Roots Convert a number from standard to scientific notation and from scientific notation to standard form. Using symbols of inequality, compare numbers in scientific notation. Apply the properties of exponents for multiplication, division, and powers of a powers to evaluate the expression using only positive exponents..ee.a.. Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other..ee.a.. Use numbers expressed in the form of a single digit times a whole-number power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as times 10 and the population of the world as times 109, and determine that the world population is more than 0 times larger..ee.a.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies..ee.a.b Write, read, and evaluate expressions in which letters stand for numbers. -Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. Identifying Prime and Composite Numbers Factoring Monomials Identifying the Square Root of Perfect Square Estimating Square Roots Writing in Scientific Notation Comparing Numbers in Scientific Notation Simplifying Monomial Expressions - Multiplication Finding the Prime Factorization of a Number Identifying the Cube Root of Perfect Cube Converting from Scientific Notation to Standard Form Simplifying Monomial Expressions - Division Representing Expressions Using Positive Exponents Simplifying Monomial Expressions - Powers of Powers

8 Game Terminal Objectives <=> CCSS Alignment: Rates, Ratios, and Proportions 1 A B C D E F G H I Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Rates, Ratios, and Given a verbal expression, write the.rp.a.1 Compute unit rates associated with ratios of.rp.a.1 Understand the concept of a ratio and use Expressing Ratios in Proportions ratio in simplified form using appropriate notations. fractions, including ratios of lengths, areas and other quantities measured in like or different units. ratio language to describe a ratio relationship between Simplified Form two quantities Rates, Ratios, and Proportions Rates, Ratios, and Proportions Express a given ratio as a unit rate. Apply knowledge of rates and ratios to solve practical problems..ee.b. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways..rp.a.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units..rp.a.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/ mile in each 1/ hour, compute the unit rate as the complex fraction 1//1/ miles per hour, equivalently miles per hour..rp.a. Understand the concept of a unit rate a/b associated with a ratio a:b with b is not equal to 0, and use rate language in the context of a ratio relationship. Expressing a Ratio as a Unit Rate.RP.A.b Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning Using Ratios Solving Practical Problems about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. -Solve unit rate problems including those involving unit pricing and constant speed Rates, Ratios, and Proportions Rates, Ratios, and Proportions Rates, Ratios, and Proportions Rates, Ratios, and Proportions Rates, Ratios, and Proportions Rates, Ratios, and Proportions Determine if a proportional relationship exists between two quantities..ee.b. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Solve proportions to find missing terms..ee.b. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. Interpret scale drawings to identify actual measurements and scale factors. Solve practical problems by: Applying percent proportion to find percent, original amount, or part of original amount. Identifying the percent increase or decrease of a situation (percent of change). Computing simple interest. Express a given number as a fraction in simplest form, percent, and decimal number. Compare fractions, ratios, percents, and decimal numbers using symbols of inequality or listing in order from least to greatest (or greatest to least)..rp.a. Recognize and represent proportional relationships between quantities. -Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships..rp.a.. Recognize and represent proportional relationships between quantities. -Decide whether two quantities are in a proportional relationship..rp.a.. Recognize and represent proportional relationships between quantities..g.a.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale..rp.a.. Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies..ee.b. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies..rp.a.b Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning Relationships Between Determining Proportional about tables of equivalent ratios, tape diagrams, Quantities double number line diagrams, or equations. -Solve unit rate problems including those involving unit pricing and constant speed..rp.a.c Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. -Find a percent of a quantity as a rate per 100 (e.g., 0% of a quantity means 0/100 times the quantity); solve problems involving finding the whole, given a part and the percent..rp.a. Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. Solving Proportions to Find Missing Terms Interpreting Scale Drawings Applying the Percent Proportion Express a Fraction as a Percent Compare Fractions, Decimals, Percents, and Ratios Identifying the Percent of Change Express a Percent as a Decimal Number Computing Simple Interest Express a Percent as a Fraction Express a Decimal Number as a Percent

9 Game Terminal Objectives <==> CCSS Alignment: Equations 1 A B C D E F G Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Equations Given an equation with only one variable, solve.ee.c. Solve linear equations in one variable..ee.a.. Understand that rewriting an expression in different forms.ee.b. Understand solving an equation or inequality as a process Solving One-Step Equations: Solving One-Step Equations: one-step equations involving addition, subtraction, multiplication, or division of rational numbers. -Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. in a problem context can shed light on the problem and how the quantities in it are related. 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. Addition or Subtraction Multiplication or Division Equations Equations Equations Equations Equations Write a one-step equation and apply knowledge of one-step equations to solve word problems..ee.c. Solve linear equations in one variable. -Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Given an equation with one variable, solve twostep equations involving multiplication or division -Solve linear equations with rational number coefficients, including.ee.c. Solve linear equations in one variable. and addition or subtraction. equations whose solutions require expanding expressions using the distributive property and collecting like terms. Apply knowledge of two-step equations to solve word problems. Given an expression, apply the distributive property to remove the grouping symbols and to write an equivalent expression. Given an equation, apply the distributive property to remove grouping symbols and to solve the remaining two-step equation..ee.c. Solve linear equations in one variable. -Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms..ee.c. Solve linear equations in one variable. -Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms..ee.c. Solve linear equations in one variable. -Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms..ns.a. Solve real-world and mathematical problems involving the four operations with rational numbers..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities..ee.a.. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities..ns.a. Solve real-world and mathematical problems involving the four operations with rational numbers..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. -Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach..ns.a. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. -Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing realworld contexts..ns.a. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. -Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing realworld contexts..ee.b. 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..ee.b. 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. Writing One-Step Equations and Solving Word Problems Solving Two-Step Equations: Multiplication with Addition or Subtraction Applying Knowledge of Two- Step Equations to Solve Word Problems Applying the Distributive Property to Write Equivalent Expressions with Variables Applying the Distributive Property to Solve Equations Solving Two-Step Equations: Division with Addition or Subtraction Equations Given an equation with variables on each side of the equation, solve for the variable..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. -Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach..ee.a. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Solving an Equation with Variables on Two Sides.EE.B. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. -Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

10 Game Terminal Objectives <==> CCSS Alignment: Inequalities 1 A B C D E F G Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Inequalities Represent the given inequality statement using a numberline..ns.c.a Understand ordering and absolute value of rational numbers. -Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. Inequalities on a Number Line Inequalities Inequalities Inequalities Inequalities Inequalities Translate a mathematical sentence into an inequality statement. Write an inequality given a graph. Let the unknown be equal to a variable. Given one variable on one side, solve onestep inequalities involving addition, subtraction, multiplication, or division of rational numbers. Apply knowledge of one-step inequalities to solve word problems. Given an two-step inequality, solve using multiplication or division and addition or subtraction..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. -Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem..ee.a. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related..ns.a. Solve real-world and mathematical problems involving the four operations with rational numbers..ee.a. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related..ee.b. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams..ns.c.b Understand ordering and absolute value of rational numbers. -Write, interpret, and explain statements of order for rational numbers in real-world contexts..ee.b. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams..ee.b. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams..ee.b. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams..ee.b. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. Writing Mathematical Sentences Using Inequalities Writing Inequalities Using Graphs Solving One-Step Inequalities: Solving One-Step Inequalities: Addition or Subtraction Multiplication or Division Solving Word Problems Using Inequalities Solving Two-Step Inequalities: Multiplication with Addition or Subtraction Solving Two-Step Inequalities: Division with Addition or Subtraction Inequalities Apply knowledge of two-step inequalities to solve word problems..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. -Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem..ns.a. Solve real-world and mathematical problems involving the four operations with rational numbers..ee.b. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. -Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. Applying Knowledge of Two- Step Inequalities to Solve Word Problems

11 Game Terminal Objectives <==> CCSS Alignment: 1 A B C D E F G H Unit ATLT Terminal Objective Common Core Standards Common Core Standards Common Core Standards Given a coordinate plane, graph a point and.f.a.1 Understand that a function is a rule that assigns to each input exactly.ns.c.b Understand a rational number as a point on the number line. Identifying Quadrants and identify the quadrant in which the point is located. one output. The graph of a function is the set of ordered pairs consisting of an Extend number line diagrams and coordinate axes familiar from previous Ordered Pairs input and the corresponding output. grades to represent points on the line and in the plane with negative number coordinates. - Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes..ns.c.c Understand a rational number as a point on the number line. 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. - Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane..ns. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Given a graphed point on the coordinate plane, identify the ordered pair..f.a.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..g.a. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems..ns.c.b Understand a rational number as a point on the number line. Identifying an Ordered Pair Extend number line diagrams and coordinate axes familiar from previous Given a Graphed Point grades to represent points on the line and in the plane with negative number coordinates. - Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes..ns.c.c Understand a rational number as a point on the number line. 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. - Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane..ns. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Given a graphed line, identify the x- and y- intercepts..f.a.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..g.a. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems..ns.c.b Understand a rational number as a point on the number line. Identifying the x- and y- Extend number line diagrams and coordinate axes familiar from previous Intercepts grades to represent points on the line and in the plane with negative number coordinates. - Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes..ns.c.c Understand a rational number as a point on the number line. 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. - Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane..ns. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Given two points with identical x- or y-values, identify the distance between two points using the distance formula..f.a.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..g.a. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems..ns. Solve real-world and mathematical problems by graphing points in all Identifying the Distance four quadrants of the coordinate plane. Include use of coordinates and Between Two Points with absolute value to find distances between points with the same first coordinate Identical x- or y-values or the same second coordinate. 9 Identify the domain and range of a given relation..f.a.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. Using graphs, words, tables, or sets of points,.f.a.1 Understand that a function is a rule that assigns to each input exactly determine if a given relation is a function. If graph one output. The graph of a function is the set of ordered pairs consisting of an is given, use the vertical line test to determine if input and the corresponding output. relation is a function. Represent relations and functions using tables,.f.a.1 Understand that a function is a rule that assigns to each input exactly graphs, words, and sets of points. one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Identify the independent variable or dependent variable in a given situation or linear equation..g.a. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. Identifying Domain and Range Determining if a Relation is a Determining if a Relation is a Function (Part 1) Function (Part ) Representing Relations/Functions in Different Forms.EE.C.9 Use variables to represent two quantities in a real-world problem Identifying Independent and that change in relationship to one another; write an equation to express one Dependent Variables quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = t to represent the relationship between distance and time.