Last updated: 6/25/2015

## Math-7 Core Map Quarter 1

The Number System and Integers

Integers and Absolute Value

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

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

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

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?

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?

 (1) 7.EE.3 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. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. (1) 7.NS.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. (1) 7.NS.1.a Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged. (1) 7.NS.1.b 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. (1) 7.NS.1.c 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. (1) 7.NS.1.d Apply properties of operations as strategies to add and subtract rational numbers. (1) 7.NS.2.a 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. (1) 7.NS.2.b 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 realworld contexts. (1) 7.NS.2.c Apply properties of operations as strategies to multiply and divide rational numbers. (1) 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.

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

x-axis

y-axis

negative number

positive number

integer

natural numbers

counting numbers

whole numbers

rational numbers

irrational numbers

origin

absolute value

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