Q1, W2: September 8th – 11th Advanced Math

MAFS.7.NS.1.2

1.  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.

2. 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.

3. Apply properties of operations as strategies to multiply and divide rational numbers.

4. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

MAFS.7.NS.1.3

Solve real-world and mathematical problems involving the four operations with rational numbers.

MAFS.7.NS.1.1

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. Describe situations in which opposite quantities combine to make 0.

2.  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.

3. 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.

4. Apply properties of operations as strategies to add and subtract rational numbers.

Students are successful when they can…

• multiply positive and negative integers using properties of operations.
• multiply positive and negative rational numbers using properties of operations.
• divide integers, provided the divisor is not zero
• divide rational numbers using properties of operations
• define a rational number as a decimal that terminates or eventually repeats
• use long division to convert a rational number to a decimal
• define additive inverse as a rational number added to its negative which results in a sum of zero.
• define the direction of the distance on a number line based on the sign of the addend.  Negative is left/down and positive is right/up.
• define the sum of two rational numbers as the distance one addend is away from the total by the absolute value of the other addend.
• calculate the distance between two rational numbers by finding the absolute value of their difference.
• compare subtracting rational numbers to adding the additive inverse.
• solve real-world problems that involve the addition, subtraction, multiplication, and/or division of rational numbers.

Summatives

1. Edgenuity – Solving Problems Involving Rational Numbers – Quiz

Formatives

1. IXL
   1. H.1 Convert fractions or mixed numbers to decimals
   2. H.15 Multiply and divide positive and negative decimals
   3. H.16 Multiply and divide positive and negative fractions
2. Edgenuity
   1. Solving Problems Involving Rational Numbers – Assignment

All accommodations per each individual IEP will be provided each class.

Accessing Edgenuity

1. From a web browser type http://learn.edgenuity.com/student
2. Enter your alpha code for your Username.
3. Enter your 8 digit birthday (if born October – December); enter your 7 digit birthday if month is one digit (January – September)

Accessing kahoot!

1. Log into https://kahoot.com/schools-u/
2. Click the Play button.
3. Enter the Game Pin (provided by the teacher) and hit Enter.
4. Enter a School-appropriate Username.

Accessing Prodigy

1. Log into Prodigy app or website http://prodigygame.com/play
2. You may either use an existing account or create a new one.
3. Enter our class code “2384E8” to link to our class. (You only have to do this the first time.)
4. After linking to our class, enter your Username and Password.

Accessing i-Ready

1. Log into vPortal app or https://www.vcsedu.org/students and click “VPORTAL”
2. Enter your email address (alpha code@vcs2go.net)
3. Enter your 8 digit birthday.
4. Within vPortal click on i-Ready
5. Choose Math.

Accessing IXL

1. Log into the IXL app or website http://www.ixl.com
2. Username is alpha code
3. Password is 8 digit birth date