|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
Distance on a number line
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
Solving one step equations using rational coefficients
Real life applications or rational number operations
Geometric Applicatoins of rational numbers
Expressions and Equations
Properties of Operations
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
Number System and Integers
Order of Operations
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
Placing fractions and decimals on the number line
Estimating the value of fractional values
Adding and Subtracting fractional values
Defining reciprocals-Multiplicative 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?
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
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
Order of operations
Substitution Property of Equality
Interactive technolgy based informal assessments
Glencoe Course 2 Text
Big Ideas Accelerated -Ron Larson
Big Ideas Grade 7-Ron Larson
Holt McDougal-Grade 7