In Grade 5 of the Common Core State Standards (CCSS) for Mathematics, the focus in division aims to build upon the division concepts and skills developed in earlier grades. The division standards in Grade 5 expand students' understanding of division, including division of whole numbers and decimals, as well as problem-solving with division. Here are some key aspects of division in Grade 5:
Division of Whole Numbers: Students should understand and apply division of whole numbers. They should be able to divide multi-digit numbers using various strategies, including the standard algorithm of long division. Students are expected to interpret the quotient and remainder in division problems and apply estimation to check the reasonableness of their solutions.
Division of Decimals: Students extend their understanding of division to include dividing decimals by whole numbers. They should be able to interpret the quotient and relate it to the decimal form of the dividend and divisor.
Division with Fractions: Grade 5 introduces division of fractions by whole numbers and whole numbers by fractions. Students should understand the relationship between division and fractions and be able to solve problems involving these operations.
Problem-Solving with Division: Students should apply division to solve real-life problems and mathematical tasks. They need to understand the context of the problem, interpret the information given, determine the operation needed (division), and apply appropriate division strategies to find the solution.
Division Fluency: Students continue to develop fluency in division facts, including division facts for whole numbers and decimals. They should be able to recall and apply division facts quickly and accurately.
Mathematical Reasoning and Communication: Students are encouraged to explain and justify their thinking when solving division problems. They should use mathematical language, provide clear and logical reasoning, and communicate their solutions effectively.
By the end of Grade 5, students should have a solid foundation in division, including division of whole numbers, decimals, and fractions. They should be able to solve division problems in various contexts and explain their thinking using mathematical reasoning. These skills prepare them for more advanced division concepts and applications in higher grades.
Divide 1-digit into 2-digit numbers
Use mental calculations to divide double-digit numbers up to 99 by single-digits
Divide by 5
Use mental calculations to divide 3-digit numbers by 5
Divide by 10
Use mental calculations to divide numbers from 1000 to 100,000 by 10
Divide by 100
Use mental calculations to divide numbers up to 100,000 by 100
Divide by 1000
Use mental calculation to divide numbers up to 900,000 by 1000
Formal short: 1-digit into 2-digits
Formal short division, missing number problems: 2-digit numbers divided by 1-digit numbers
Formal short: 1-digit into 3-digits
Formal short division, missing number problems: 3-digit numbers divided by 1-digit numbers
Formal short: 1-digit into 4-digits
Formal short division, missing number problems: 4-digit numbers divided by 1-digit numbers
Formal short division: 2-digits
Formal short division, missing number problems: 2-digit numbers divided by 2-digit numbers
Formal short: 2-digits into 3-digits
Formal short division, missing number problems: 3-digit numbers divided by 2-digit numbers
Formal short: 2-digits into 4-digits
Formal short division, missing number problems: 4-digit numbers divided by 2-digit numbers
Formal long: 1-digit into 2-digits
Formal long division, missing number problems: 2-digit numbers divided by 1-digit numbers
Formal long: 1-digit into 3-digits
Formal short division, missing number problems: 3-digit numbers divided by 1-digit numbers
Formal long: 1-digit into 4-digits
Formal short division, missing number problems: 4-digit numbers divided by 1-digit numbers
Formal long: 2-digits into 3-digits
Find the missing number for these 2-digits into 3-digits formal long divisions
Formal long: 2-digits into 4-digits
Find the missing number for these 2-digits into 4-digits formal long divisions
1-digit into 2-digits with remainder
Find the remainder for each formal short division dividing 2-digit numbers by 1-digit numbers
1-digit into 3-digits with remainder
Find the remainder for each formal short division dividing 3-digit numbers by 1-digit numbers
1-digit into 4-digits with remainder
Find the remainder for each formal short division dividing 4-digit numbers by 1-digit numbers
2-digits into 2-digits with remainder
Find the remainder for each formal short division dividing 2-digit numbers by 2-digit numbers
2-digits into 3-digits with remainder
Find the remainder for each formal short division dividing 3-digit numbers by 2-digit numbers
2-digits into 4-digits with remainder
Find the remainder for each formal short division dividing 4-digit numbers by 2-digit numbers
Divide 2-digits by 1: fraction remainder
Find the remainder as fraction for each long division dividing 2-digit numbers by 1-digit numbers
Divide 3-digits by 1: fraction remainder
Find the remainder as fraction for each long division dividing 3-digit numbers by 1-digit numbers
Divide 4-digits by 1: fraction remainder
Find the remainder as fraction for each long division dividing 4-digit numbers by 1-digit numbers
2-digits into 3-digits, remainder as fraction
Find the remainder as fraction for each long division dividing 3-digit numbers by 2-digit numbers
2-digits into 4-digits, remainder as fraction
Find the remainder as fraction for each long division dividing 4-digit numbers by 2-digit numbers
Add then divide
Use mental calculations to answer questions where you add first and then divide
Subtract then divide
Use mental calculations to answer questions where you subtract first and then divide
Divide then add
Use mental calculations to answer questions where you divide first and then add
Divide then subtract
Use mental calculations to answer questions where you divide and then subtract
BIDMAS - 4 operations
Use order of operations (BIDMAS) to find the correct answers
Counting * Comparing numbers * Pattern * Place value * Addition * Subtraction * Add + Subtract * Multiplication * Division * Multiply + Divide * Fractions * Decimals * Ratio + proportion * Measurements * Shapes * Position + Direction * Statistics * Algebra *
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