Third Grade Fourth Grade Fifth Grade Know multiplication facts to 10 x 10 Multiply a 2- or 3-digit number by a 1- or Model and explain multiplication and division number of decimals Use arrays and area models to develop an understanding of the distributive property, to Know division facts to 100 ÷ 10 Multiply and divide with decimals (including determine partial products, and to multiply a less than one and greater than one) Divide by a 1- or 2-digit number or 3-digit number by a 1-digit number. Represent division of whole numbers as Understand relationship between dividend, Develop Apply and verify multiplication properties fractions divisor, quotient, and remainder understanding Understand effect of multiplying by multiples Model multiplication and division of common Understand and explain effect of multiplying of 10 fractions or dividing the divisor and dividend by the of Understand the relationship between division same number Understand the relationships/rules for multiplication and multiplication, division and subtraction multiplication/division of whole numbers apply Model multiplication and division of decimals and division to decimals Recognize the two situations of division by whole numbers and apply them Use mental math and estimation Explain meaning of remainder Multiply and divide 1- and 2-digit decimals by in problem whole numbers Divide a 2- or 3-digit number by a 1-digit number solving Use mental math and estimation Write mathematical expressions for division Operations problem-solving situations Use mental math and estimation and Solve problems requiring multiplication and division Understand relationship between decimal Understand representations of equivalent Find equivalent fractions Number fractions and decimals (i.e. 3/10 can be common fractions and decimal fractions Simplify and compare fractions written as 0.3) Use improper fractions and mixed numbers Find common denominators using concrete, Understand the fraction a/b represents a interchangeably pictorial, and computational models. equal sized parts of a whole divided into b Compare fractions and justify the Understand equal sized parts comparisons and compare Know and use decimal fractions and common Use fractions and decimals interchangeably fractions fractions to represent the size of parts Percents created by equal divisions of a whole Explore and model percents using multiple representations Apply percentages to circle graphs
Number and Operations Develop understanding of multiplication and division and apply them in problem solving Know multiplication facts to 10 x 10 Use arrays and area models to develop an understanding of the distributive property, to determine partial products, and to multiply a or 3-digit number by a 1-digit number. Apply and verify multiplication properties Understand effect of multiplying by multiples of 10 Understand the relationship between division and multiplication, division and subtraction Recognize the two situations of division Explain meaning of remainder Divide a 2- or 3-digit number by a 1-digit number Write mathematical expressions for division problem-solving situations Use mental math and estimation Solve problems requiring multiplication and division Multiply a 2- or 3-digit number by a 1- or number Know division facts to 100 ÷ 10 Divide by a 1- or 2-digit number Understand relationship between dividend, divisor, quotient, and remainder Understand and explain effect of multiplying or dividing the divisor and dividend by the same number Model multiplication and division of decimals by whole numbers Multiply and divide 1- and 2-digit decimals by whole numbers Use mental math and estimation Model and explain multiplication and division of decimals Multiply and divide with decimals (including less than one and greater than one) Represent division of whole numbers as fractions Model multiplication and division of common fractions Understand the relationships/rules for multiplication/division of whole numbers apply to decimals Use mental math and estimation Understand and compare fractions Understand relationship between decimal fractions and decimals (i.e. 3/10 can be written as 0.3) Understand the fraction a/b represents a equal sized parts of a whole divided into b equal sized parts Know and use decimal fractions and common fractions to represent the size of parts created by equal divisions of a whole Understand representations of equivalent common fractions and decimal fractions Use improper fractions and mixed numbers interchangeably Find equivalent fractions Simplify and compare fractions Find common denominators using concrete, pictorial, and computational models. Compare fractions and justify the comparisons Use fractions and decimals interchangeably Percents Explore and model percents using multiple representations Apply percentages to circle graphs Third Grade Fourth Grade Fifth Grade