· 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.