6th grade Math

The following math videos can be found on Learn Zillion

THE NUMBER SYSTEM (NS)

6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
Divide a Fraction by a Whole Number (6.NS.1)
Solve word problems involving division of fractions by fractions using picture models (6.NS.1)
Divide Mixed Number by Fractions Using Models (6.NS.1)
Divide a Fraction by a Whole Number (6.NS.1)
Divide a Fraction by a Fraction (6.NS.1)
Solve Word Problems involving Division of Mixed Numbers and Fractions using picture models (6.NS.1)
Understand why dividing by a number gives the same result as multiplying by its reciprocal (6.NS.1)
Solve word problems involving division of whole numbers by fractions using picture models (6.NS.1)
Solve division of fractions problems using reciprocals (6.NS.1)
Divide a fraction by a fraction with remainders (6.NS.1)
Solve word problems involving division of fractions by whole numbers using picture models (6.NS.1)
Multiply fractions by fractions using area models (6.NS.1)
Divide whole numbers by non-unit fractions (6.NS.1)
Find the reciprocal of mixed numbers: renaming (6.NS.1)
Divide fractions by fractions: using the common denominator (6.NS.1)
Multiply fractions by fractions by multiplying across (6.NS.1)
Use visual models for division of whole numbers by unit fractions (6.NS.1)
Use the reciprocal to divide whole numbers by fractions (6.NS.1)
Divide mixed numbers by fractions: using models (6.NS.1)
Multiply whole numbers by fractions: using repeated addition (6.NS.1)
Multiply mixed numbers by renaming factors (6.NS.1)
Multiply whole by mixed numbers: break-it-apart (6.NS.1)
Multiply whole numbers by mixed numbers: using area models (6.NS.1)
Use models for division of fractions by fractions (6.NS.1)
Interpret remainders when dividing using models (6.NS.1)
Use bar models for multiplication of fractions by whole numbers (6.NS.1)
Use bar models for division of whole numbers by unit fractions (6.NS.1)
Divide fractions by fractions: dividing across (6.NS.1)
Divide fractions by fractions: using the reciprocal (6.NS.1)

6.NS.2 Fluently divide multi-digit numbers using the standard algorithm.

6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

6.NS.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

6.NS.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Understanding positive and negative numbers with temperature (6.NS.5)
Understand negative numbers using a number line (6.NS.5)
Understanding positive and negative numbers with money (6.NS.5)
Understanding positive and negative numbers using elevations (6.NS.5)

6.NS.6 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.
Rewrite a fraction as a decimal using division (6.NS.6a)
Understand the opposite of a number by looking at a number line (6.NS.6a)
Rewrite decimals as fractions by using equivalent fractions (6.NS.6a)
Locate positive rational numbers using a number line (6.NS.6a)
Understand the opposites of fractions by looking at a number line (6.NS.6a)

b. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
Understand the coordinate plane as horizontal and vertical number lines (6.NS.6b)
Reflect points over the x and y axes (6.NS.6b)
Translate shapes across the x and y axes (6.NS.6b)
Graph points on a coordinate plane (6.NS.6b)

c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Graph rational numbers on a coordinate plane (6.NS.6c)
Rewrite a fraction as a repeating decimal using division (6.NS.6c)
Locate rational numbers using a number line (6.NS.6c)
Compare fractions: using less than 1/2 or more than 1/2 (6.NS.6c)

6.NS.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.
Understand the relationship between two numbers using a number line (6.NS.7a)
Understand the relationship between two negative numbers using a number line (6.NS.7a)

b. Write, interpret, and explain statements of order for rational numbers in real-world contexts.
Compare two positive or negative numbers in real-world situations (6.NS.7b)
Compare more than two positive or negative numbers in real-world situations (6.NS.7b)

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.
Describe negative values with words (6.NS.7c)
Find absolute value using a number line (6.NS.7c)
Use a number line to understand the relationship between rational numbers and absolute value (6.NS.7c)

d. Distinguish comparisons of absolute value from statements about order.
Interpret absolute value in real-world situations (6.NS.7d)
Use a number line to understand how while the value of a negative number decreases, its absolute value increases (6.NS.7d)

6.NS.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Use absolute value to find distances between points (6.NS.8)
Find the distance between two points in different quadrants (6.NS.8)
Find the length and width of a rectangle given four points on the coordinate plane (6.NS.8)
Graph and mathematical problems using a coordinate plane (6.NS.8)
Graph and solve real-world problems using a coordinate plane (6.NS.8)
Graph points in any quadrant (6.NS.8)
Write coordinate pairs for points (6.NS.8)

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