Subject/Grade Level/Unit Title  Timeframe/Grading Period  Big Idea/Themes/Understandings  Essential Questions  Standards  Essential Skills  Vocabulary  Assessment Tasks  Resources  

The Number System and Integers Integers and Absolute Value Adding Integers Subtracting Integers Distance on a number line Multiplying Integers Dividing Integers Using properties to evalutate expressions
Rational Numbers and Equations Rational Numbers on the number line Determining the approximate value of fractional values Converting mixed numbers and fgractions to decimals Converting decimals to fractions Estimating sum and difference of fractional values Comparing and ordering Rational numbers Add and subtract fractions on the number line Add and subtract mixed numbers on the number line Multiplying Fractions Dividing Fractions Solving one step equations using rational coefficients Real life applications or rational number operations Geometric Applicatoins of rational numbers
Expressions and Equations Algebraic expressions Properties of Operations The distributive Simplifying Algebraic Expressions Adding linear expressions Subtracting linear expressions Sovling one step equations with addition and subtraction Solving one step equations with multiplication and division Solving equations with rational coefficients Solving two step equations

Quarter 1 
Number System and Integers Order of Operations Numerial Expressions Absolute Value Real Numbers Subsets of Real Numbers Difference between Expressions and Equation Coordinate Plane, Quadrants Examining Integers on the Number Line Adding Integers modeling on number line and with chips Subtracting Integers adding the opposite on numberline and with chips Multiplying Integers examine products of same sign and opposite sign products Powers with integral bases Determining the base (negative or positive) Dividing Integers examine products of same sign and opposite sign quotients Examine reasoning of dividing by zero, and why undefined. Properties : Commutative, Additive Inverse, Associative, Property of Zero, Property of 1, Substitution Property Real life problem solving with integral values
Rational Numbers Placing fractions and decimals on the number line Estimating the value of fractional values Adding and Subtracting fractional values Defining reciprocalsMultiplicative Inverse Multiplying and Dividing fractional values

The Number System and Operations What occurs when you add, subtract, multiply and divide integers? Are expressions in parentheses the only groups in an expression? How do the properties help us evalutate numerical expressions? How can mathematical ideas be represented? Why is the absolute value of a number positive? Why do we need to understand the negative integers in the real world? How is subtracting of integers related to adding of integers? How do you determine the sign of a sum of integers? How do you determine the sign of the difference of integers? How do you determine the sign of a product of integers? How do you determine the sign of a quotient of integers?
Rational Numbers What happens when you add, subtract, multiply and divide rational numbers? How can you graph a negative fraction, or a negative decimal to the tenths place on the number line? How can we represent fractional values as decimals? How do we classify rational numbers? Does the fractional piece of a mixed number always share the sign of the integer?


Number Systems and Integers Recognize expressions Evaluate and simplify expressions Determine Absolute Value of an expressions Determine distance between integers on the number line Model addition and subtraction on number line Compute operations with integers Determine mathematical representation of situations involving integers Recognizing the subsets of Rational Numbers Graph points on the coordinate plane Recognize and use properties to evaluate expressions
Rational Numbers and Operations Estimate fractional values on the number line Compare and order fractional and mixed values on the number line Convert fractional values to decimal values Convert decimal values to fractional values Determine if a decimal is rational or irrational Multiplying and dividing rational numbers (fractions and mixed numbers) Add and subtracting (fractions and mixed numbers) Determine the reciprocal of a fraction, decimal and mixed number Solve geometric and real life applications with fractions, mixed numbers and decimals Evaluating expressions with operations of rational numbers Solving one step equations using rational number coefficients

Numerical Expressions Order of operations Commutative Property Associative Property Identity Property Variable Constant Algebraic Expressions Evaluate Substitution Property of Equality Term Constant Simplify inductive reasoning deductivve reasoning ordered pairs coordinate plane Cartesian Plane quadrants xaxis yaxis negative number positive number integer natural numbers counting numbers whole numbers rational numbers irrational numbers origin absolute value additive inverses opposites zero pair power base exponent negating sum difference product quotient numerator denominator complex fraction repeating decimals terminating decimals multiplicative inverses reciprocals equations equivalent equations inequalities inductive reasoning deductive reasoning

Writing assessments Written assessments Interactive technolgy based informal assessments Benchmark exam 
Glencoe Course 2 Text State Modules IXL Big Ideas Accelerated Ron Larson Big Ideas Grade 7Ron Larson Holt McDougalGrade 7
