SayPro 14069 Solve realistic and abstract problems involving changing quantities by addition, subtraction, multiplication, and division

PURPOSE OF THE UNIT STANDARD

People credited with this unit standard are able to: Estimate the answers to applied problems and computations. Express the problem situation using words, mathematical expressions, equations, and /or drawings. Devise and /or implement strategies to solve mathematical problems. Interpret, verify and justify solutions in terms of practical considerations. Calculate solutions to mix operation calculations.

UNIT STANDARD RANGE

Any one of the qualities involved in the situation may be unknown and the numbers may be whole numbers or fractions expressed as fractions, decimals, or percentages. Fractions can be expressed as simple fractions, percentages, or decimals. Whole numbers at least up to 1 000 000. Addition and subtraction: Whole numbers of up to six digits. Decimals up to three decimal places. Fractions of denominators 2 to 9 where one denominator is a multiple of the other. Multiplication and division: Whole numbers up to three digits. Fractions of denominators 2 to 9.

SPECIFIC OUTCOME

Estimate the answers to applied problems and computations.

ASSESSMENT CRITERIA

Estimates are reasonably close to the exact figures as can be justified within the context.

ASSESSMENT CRITERION

Estimates chosen facilitate easy calculations. The accuracy of estimates is justified by the context, need for speed, and purposes of estimating.

SPECIFIC OUTCOME

Express the problem situation using words, mathematical expressions, equations, and/or drawings. Mathematical symbols are correct and used in the proper context.

ASSESSMENT CRITERION

The description is consistent with the original statement of the problem. The layout is clear and structured so that it can be easily read.

SPECIFIC OUTCOME

Devise and/or implement strategies to solve mathematical problems.

OUTCOME RANGE

Algorithms used can be standard or self-generated. Calculations with and without the use of a calculator. Appropriate operations are used. Algorithms are logical, internally consistent, and justified by the context. Procedures used to lead to correct solutions Interpret, verify, and justify solutions in terms of practical considerations. The solution makes sense in terms of the problem context. Calculator answers are interpreted realistically in context. Rounding up or down is appropriate to the context and follows established conventions in terms of the number of decimal places. Explanations of solutions take into account practical considerations. Calculate solutions to mixed operation calculations. Only situations involving the priority of brackets as well as the use of the left-to-right rule will be applied. The priority of operations as a rule is excluded at this level. Operations within brackets are given priority. The left-to-right rule is applied correctly. Solutions are consistent with the problem.