CCM6+7+ Unit 1 integers, Exponents, Order of operations

Essential Understandings

Students will understand that…

there are eight Mathematical Practice Standards that go along with the content standards.

there are a variety of ways and strategies to problem solve and complete tasks

integers can be found in real world situations

numbers to the right on a number line are always larger than numbers to the left

absolute value represents distance traveled, which can never be negative

the sum of any number and its opposite will always be zero

there is an algorithm to aid in the process of solving integer operations

opposites are located the same distance from zero on the other side of the number line

exponents represent multiplication

to simplify an expression using the order of operations is key

Essential Vocabulary

Absolute Value

Addend

Additive Inverse

Base

Difference

Dividend

Divisor

Equivalent

Equivalent Expressions

Evaluate

Exceed

Exponent

Expression

Factor

Integer

Like Terms

Multi-Digit

Negative Number

Number Line

Numeric Expression

Opposite

Order of Operations

Origin

Positive Number

Power

Product

Profit

Quantity

Quotient

Rational Number

Sum

Whole Number

Essential Questions

How are number lines related to order and absolute value?

How do exponents simplify multiplication?

Is the order in which you solve a problem important? Why?

How can I model different integer operations?

How are integers represented in everyday life?

Vertical Alignment

In 5th grade students use brackets, braces, and parenthesis to evaluate expressions with these symbols.

In 5th grade students divide whole numbers by whole numbers with up to four digit dividends and two digit divisors. Students illustrate and explain the calculations by equations, rectangular arrays, and area models.

In 5th grade students measure volume by counting unit cubes in order to understand why units are cubed.

In 5th grade students use whole number exponents to denote powers of 10.

Later in this course students perform operations with rational numbers in expressions and equations.

In CCMI students evaluate exponential functions with integers.

In CCMI students solve problems involving exponential growth and decay.

To determine additional ways to support and enrich student learning, please access the K-12 progression here - Turn on CC Math

Digital Resources

Brain Pop Website- Exponentswebsite that gives a video lesson on exponents. There are some parts of this video that do not address the standards. Look through all activities first. All schools have a subscription to BrainPop--username is martinmiddle and password is brainpop.

Brain Pop Website- Order of Operationswebsite that gives a video lesson on order of operations. All schools have a subscription to BrainPop--username is martinmiddle and password is brainpop. https://www.brainpop.com/math/numbersandoperations/orderofoperations/