M.1.1.4 Use properties of M.1.2.4 Compare two M.1.3.4 Fluently add and M.1.4.4 Apply and extend operations to add and numbers based on subtract multi-digit whole previous understandings of subtract. Given a two-digit meanings of hundreds, tens, numbers using the standard numbers to the system of number, mentally find 10 and ones digits, using >, =, algorithm. rational numbers. more or 10 less than the < symbols to record the Understand that positive and number, without having to results of comparisons. negative numbers are used count; explain the reasoning together to describe used. Subtract multiples of quantities having opposite 10 in the range of 10-90 directions or values; use from multiples of 10 in the positive and negative range of 10-9 (positive or numbers to represent zero differences), using quantities in real-world concrete models or drawings contexts, explaining the and strategies based on meaning of 0 in each place value, properties of situation. operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. M.1.2.5 Add up to four M.1.3.5 Multiply a whole M.1.4.5 Understand a numbers using number of up to four digits rational number as a on strategies based on place by a one-digit whole the number line. Extend value and properties of number, and multiply two number line diagrams and operations. two-digit numbers, using coordinate axes familiar strategies based on place from previous grades to value and the properties of represent points on the line operations. Illustrate and and in the plane with explain the calculation by negative number using equations, rectangular coordinates. arrays, and/or area models. 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. 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. 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.
M.1.1.4 Use properties of operations to add and subtract. Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used. Subtract multiples of 10 in the range of 10-90 from multiples of 10 in the range of 10-9 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. M.1.2.4 Compare two numbers based on meanings of hundreds, tens, and ones digits, using >, =, < symbols to record the results of comparisons. M.1.3.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm. M.1.4.4 Apply and extend previous understandings of numbers to the system of rational numbers. Understand that positive and negative numbers are used together to describe quantities having opposite directions or values; use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. M.1.2.5 Add up to four numbers using strategies based on place value and properties of operations. M.1.3.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. M.1.4.5 Understand a rational number as a 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. 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. 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. 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.