6.RP.3:
Ratios And Proportional Relationships
Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems.
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
6.RP.3a:
Ratios And Proportional Relationships
Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems.
Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
6.NS.2:
The Number System
Compute Fluently With Multi-Digit Numbers And Find Common Factors And Multiples.
Fluently divide multi-digit numbers using the standard algorithm.
6.EE.4:
Expressions And Equations
Apply And Extend Previous Understandings Of Arithmetic To Algebraic Expressions.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for. For Example, Apply The Distributive Property To The Expression 3 (2 + X) To Produce The Equivalent Expression 6 + 3X; Apply The Distributive Property To The Expression 24X + 18Y To Produce The Equivalent Expression 6 (4X + 3Y); Apply Properties Of Operations To Y + Y + Y To Produce The Equivalent Expression 3Y.
6.NS.6c:
The Number System
Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.
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.
6.NS.6:
The Number System
Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.
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.
6.NS.8:
The Number System
Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.
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.
6.NS.7c:
The Number System
Apply And Extend Previous Understandings Of Numbers To The System Of Rational Numbers.
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. For example, for an account balance of -30 dollars, write |-30| = 30 to describe the size of the debt in dollars.
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