During the first quarter, fifth grade students determine whether one number is a factor or multiple of another, identify prime, square, even, and odd numbers, use known multiplication combinations to find equivalent multiplication combinations, use properties and relationships of numbers to solve problems, solve 2- digit by 2-digit multiplication problems, describe and comparing strategies used to solve multiplication problems, break up multiplication problems efficiently, solve division problems with 2-digit divisors, solve division problems by breaking the dividend into parts, describe and comparing strategies used to solve division problems, use formulas to find the volume of rectangular prisms, find the volume of a solid composed of two rectangular prisms, and determine the volume, in cubic centimeters, of a small prism.
During the second quarter, fifth grade students use a representation to multiply a fraction and a whole number, use a representation and reasoning to multiply a whole number by a fraction or mixed number, use a representation and reasoning to multiply a whole number by a fraction or mixed number, multiply a fraction by a fraction, use arrays to represent multiplication of fractions, use representations to solve problems involving dividing a whole number by a unit fraction, use representations to solve problems involving dividing a unit fraction by a whole number use reasoning, and the relationship between division and multiplication, to divide a unit fraction by a whole number, read, write, and sequence numbers, recognize and write a power of ten number in exponential form, and recognize and write numbers in expanded form.
During third quarter, fifth grade students recognize and write numbers with decimals in expanded form, round decimals to the nearest one, tenth, and hundredth, interpret the meaning of digits in a decimal number, order decimals and justify their order through reasoning about decimal representations, equivalents, and relationships, compare decimals to the landmarks 0, 1⁄2, and 1, describe and comparing strategies used to solve multi-digit multiplication problems, solve 2- digit by 2-digit or 3-digit multiplication problems fluently, estimate answers to multiplication and division problems, understand the U.S. algorithm for multiplication, solve division problems with a 2-digit divisor fluently, describe and comparing strategies used to solve division problems, and solve multi-step word problems, use all four operations to solve problems.
During fourth quarter, fifth grade student describe attributes of polygons, use attributes to describe and compare quadrilaterals including parallelograms, rectangles, rhombuses and squares, find the value of one quantity in a situation with a constant rate of change, given the value of the other, describe the relationship between two quantities in a situation with a constant rate of change, write an arithmetic expression for finding the value of one quantity in terms of the other in a situation with a constant rate of change, use tables to represent the relationship between two quantities, using a line plot to represent ordered, numerical data, represent two sets of data in order to compare them, make a line plot to display a data set of measurements involving fractions, compare and draw conclusions about sets of data using the shape and spread of the data.
During the second quarter, fifth grade students use a representation to multiply a fraction and a whole number, use a representation and reasoning to multiply a whole number by a fraction or mixed number, use a representation and reasoning to multiply a whole number by a fraction or mixed number, multiply a fraction by a fraction, use arrays to represent multiplication of fractions, use representations to solve problems involving dividing a whole number by a unit fraction, use representations to solve problems involving dividing a unit fraction by a whole number use reasoning, and the relationship between division and multiplication, to divide a unit fraction by a whole number, read, write, and sequence numbers, recognize and write a power of ten number in exponential form, and recognize and write numbers in expanded form.
During third quarter, fifth grade students recognize and write numbers with decimals in expanded form, round decimals to the nearest one, tenth, and hundredth, interpret the meaning of digits in a decimal number, order decimals and justify their order through reasoning about decimal representations, equivalents, and relationships, compare decimals to the landmarks 0, 1⁄2, and 1, describe and comparing strategies used to solve multi-digit multiplication problems, solve 2- digit by 2-digit or 3-digit multiplication problems fluently, estimate answers to multiplication and division problems, understand the U.S. algorithm for multiplication, solve division problems with a 2-digit divisor fluently, describe and comparing strategies used to solve division problems, and solve multi-step word problems, use all four operations to solve problems.
During fourth quarter, fifth grade student describe attributes of polygons, use attributes to describe and compare quadrilaterals including parallelograms, rectangles, rhombuses and squares, find the value of one quantity in a situation with a constant rate of change, given the value of the other, describe the relationship between two quantities in a situation with a constant rate of change, write an arithmetic expression for finding the value of one quantity in terms of the other in a situation with a constant rate of change, use tables to represent the relationship between two quantities, using a line plot to represent ordered, numerical data, represent two sets of data in order to compare them, make a line plot to display a data set of measurements involving fractions, compare and draw conclusions about sets of data using the shape and spread of the data.
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