# Q1W3 Honors Math

Teacher Kimberlie Hymes Honors Math 6th 3 Number Systems
Standard(s) Taught

MAFS.6.NS.3.7

Understand ordering and absolute value of rational numbers.
a. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
b. Write, interpret, and explain statements of order for rational numbers in real-world contexts.
c. Understand the absolute value of a rational number as its distance from 0 on the number
line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
d. Distinguish comparisons of absolute value from statements about order.

MAFS.7.NS.1.2

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
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.

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.
a. Describe situations in which opposite quantities combine to make 0.
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.
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.
d. Apply properties of operations as strategies to add and subtract rational numbers.
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 real-world contexts. Apply properties of operations as strategies to multiply and divide rational numbers.
c. Apply properties of operations as strategies to multiply and divide rational numbers.
d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0’s or eventually repeats.

Learning Targets and Learning Criteria

I know I am successful when I can:

•describe the relative position of two numbers on a number line. • describe the relative position of two numbers on a number line when given an inequality. • order rational numbers on a number line. • compare rational numbers using inequality symbols and justify the symbol used. • understand, compare, and interpret rational numbers found in real-world scenarios. • discover absolute value of a rational number as its distance from 0 on a number line. • model absolute value with number lines. • understand that quantities could have a negative value based on the scenario such as debt. • explain the reasoning that as the value on a negative rational number decreases, its absolute value (distance from zero) increases.• use patterns and properties to explore the multiplication of integers.
• use patterns and properties to develop procedures for multiplying integers.
• describe real-world situations represented by the multiplication of integers.
• use the relationship between multiplication and division to develop procedures for dividing integers.
• explain why the property of closure exists for the division of rational numbers, but not for whole numbers.
• describe real-world situation represented by the division of integers.
• interpret the quotient in relation to the original problem.
• generalize the procedures for multiplying and dividing integers to all rational numbers.
• use long division to convert a rational number to a decimal.
• verify that a number is rational based on its decimal equivalent.
• identify rational numbers as numbers that can be written in ratio form vs non-rational numbers that are non-terminating decimals or undefined fractions.• use a number line or positive/negative chips to show that an integer and its opposite will always have a sum of zero.
• use a number line to show addition as a specific distance from a particular number in one direction or the other, depending on the sign of the value being added.
• interpret the addition of integers by relating the values to real-world situations.
• rewrite a subtraction problem as an addition problem by using the additive inverse.
• show the distance between two integers on a number line is the absolute value of their difference.
• describe real-world situations represented by the subtraction of integers.
• use the properties of operations to add and subtract rational numbers.

Classroom Activities

We will continue our Number Systems unit with operations with integers this week.

Assignments Due

The week students will be assigned the following on IXL to practice class concepts:

IXL: (Monday/Wednesday) 7th Grade C3/C5 students are expected to reach at least an 80% on these assignments.

IXL: (Thursday) 7th Grade C6/C7at least an 80%

Homework this week will be due 8/31/18: Mathspace HOMEWORK #2

We will take our first test on Thursday 9/6 covering the following concepts:

Coordinate Plane

Absolute Value

Operations with Integers

Additional Resources

If additional help is needed, students are encouraged to view a lesson regarding a given topic on Khan Academy. This website is free and provides both video instruction as well as practice problems.

Students are able to complete additional practice on both Mathspace and IXL

www.mathspace.co

www.ixl.com

**** Accommodations provided as needed

Please contact me as needed: Remind @ih6honors   or   email: hymesk@ivyhawnschool.org