SOL # 5.4, Whole Number Operations, Computation and Estimation

Blueprint Categories


The student will create and solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers.

Number and Number Sense


Computation and Estimation


Measurement and Geometry


Probability, Statistics, Patterns, Functions, and Algebra



Prior Knowledge

Previous/Related SOL


Words and Definitions


Related SOL

K-1st grade: SWBAT add and subtract up to 10

2nd grade: SWBAT +/- up to 18; estimate the sum and difference of numbers up to 99; solve one step +/- problems; describe the inverse relationship of +/-

3rd grade: SWBAT +/- up to 9,999; multiply and divide through the 9s table; +/- fractions with like denominators; +/- decimals up through the tenths place value

4th grade: SWBAT estimate; find the product and quotient of two numbers; +/- fractions with like and unlike denominators up to 12; +/- decimals up through the thousandths place value.




Estimation -  finding a value that is close enough to the correct answer


Reasonableness – The answer makes sense.


Sum –  The answer in an addition problem


Difference – The answer in a subtraction problem


Product – The answer in a multiplication problem


Quotient – The answer in a division problem


Dividend –  the number being divided


Divisor – the number that divides into another number


Multistep problem – a problem that requires more than one step to solve






Trade Books


Multiplying Menace: The Revenge of Rumplestiltskin (by Pam Calvert)


A Remainder of One (by Elinor J. Pinczes)


Corkscrew Counts(by Donna Jo Napoli)


Amanda Bean’s Amazing Dream (Cyndi Neuschwander)


Spaghetti and Meatballs for All (Marilyn Burns)


Text Books


Teaching Student-Centered Mathematics (by John Van de Walle)


Dinah Zike’s Notebook Foldables (by Dinah Zike)


Dinah Zike’s Big Book of Math (by Dinah Zike)



Brain Pop (division, multiplication, estimating, word problems, using a calculator)



SMARTBoard Activities

Closest Estimates 1

Closest Estimates 2

Closest Estimates 3

Closest Estimates 4

Closest Estimates 5

Closest Estimates 6

Closest Estimates 7

Closest Estimates 8

Closest Estimates 9

Closest Estimates 10

Closest Estimates 11

Closest Estimates 12

Closest Estimates 13

Closest Estimates 14

Closest Estimates 15

Closest Estimates 16

Closest Estimates 17

Closest Estimates 18

Power Point Activity

Word Problems


Multi-Step Word Problem Review


Study Guides

VA DOE Resources

 5.4 study guide (Corker, TJES)





ESS Lesson 5.4















Box Method


· An example of an approach to solving problems is Polya’s four-step plan:

· Understand: Retell the problem; read it twice; take notes; study the charts or diagrams; look up words and symbols that are new.

· Plan: Decide what operation(s) to use and what sequence of steps to use to solve the problem.

· Solve: Follow the plan and work accurately. If the first attempt doesn’t work, try another plan.

· Look back: Does the answer make sense?

· Estimation gives a rough idea of an amount. Strategies such as front-end, rounding, and mental computation may be used to estimate addition, subtraction, multiplication, and division of whole numbers.

· Examples of problems to be solved by using estimation strategies are encountered in shopping for groceries, buying school supplies, budgeting allowance, and sharing the cost of a pizza or the prize money from a contest.

· Estimation can be used to check the reasonableness of the results.


All students should

· Understand the meaning of mathematical operations and how these operations relate to one another when creating and solving single-step and multistep word problems. 


The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

· Select appropriate methods and tools from among paper and pencil, estimation, mental computation, and calculators according to the context and nature of the computation in order to compute with whole numbers.

· Create single-step and multistep problems involving the operations of addition, subtraction, multiplication, and division with and without remainders of whole numbers, using practical situations.

· Estimate the sum, difference, product, and quotient of whole number computations.

· Solve single-step and multistep problems involving addition, subtraction, multiplication, and division with and without remainders of whole numbers, using paper and pencil, mental computation, and calculators in which

· sums, differences, and products will not exceed five digits;

· multipliers will not exceed two digits;

· divisors will not exceed two digits; or

· dividends will not exceed four digits.

Use two or more operational steps to solve a multistep problem.  Operations can be the same or different.