The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course.
I. Concepts and skills associated with whole numbers.
- write the standard form of a whole number
- round whole numbers
- perform the four basic arithmetic operations (addition, subtraction, multiplication and division) on whole numbers
- solve application problems involving the four basic operations on whole numbers
- identify the order relation between two whole numbers
- simplify expressions involving whole numbers
- prime factor whole numbers
- find the greatest common factor and least common multiple of two or more whole numbers
II. Concepts and skills associated with fractions.
- perform the four basic arithmetic operations (addition, subtraction, multiplication and division) on fractions
- solve application problems involving the four basic operations on fractions
- convert between mixed numbers and improper fractions
- simplify expressions involving fractions
- identify the order relation between two fractions
III. Concepts and skills associated with decimals.
- write the standard form of a decimal
- round decimals
- perform the four basic arithmetic operations (addition, subtraction, multiplication and division) on decimals.
- solve application problems involving the four basic operations on decimals
- convert between fractions and decimals
- identify the order relation between two decimals or between a decimal and a fraction
IV. Concepts and skills associated with ratios, proportions and percents.
- convert between fractions and percents and decimals and percents
- solve percent equations
- solve ratio and proportion application problems
- solve application problems involving percents
V. (optional) The use of statistics to collect and interpret data
- determine the mean, median, and mode
- interpret graphs (pictographs, circle graphs, bar graphs and broken-line graphs) and analyze data
VI. (optional) Recognition and investigation of two and three-dimensional geometric figures and shapes, their properties and relationships.
- recognize two and three-dimensional figures by name
- find areas and perimeters of triangles, rectangles and squares