Number and Operation Objectives:  Students will be able to

• convert between fractions, decimals, and percents
• know fraction, decimal, and percent equivalencies for halves, thirds, fourths, fifths, eighths and tenths
• understand relationships between ratios, rates, and fractions
• understand the effects of multiplying or dividing by a number between zero and one
• understand the effects of multiplying or dividing by a number greater than one
• compare and order fractions, decimals, and percents
• read and write decimals up to the billionth place
• read and write numbers with positive exponents
• understand that taking the square root is the inverse of squaring a positive number
• write any number as a product of prime numbers
• round decimals to an appropriate place value
• demonstrate an understanding of the appropriateness of rounding up or rounding down
• demonstrate an understanding of the commutative and associative properties
• demonstrate an understanding of the property of reciprocals
• estimate a reasonable answer prior to calculation
• find the percent of a number by using the appropriate fraction or decimal
• represent a rate or ratio as a fraction to solve problems
• use prime factorization to find the greatest common factor and least common multiple
• use commutative and associative properties to solve problems
• use property of reciprocals to solve problems
• us e proportions to find the percent of a number
• use rates, ratios, and proportion to solve problems
• determine when an estimate rather than an exact answer is appropriate
• choose an appropriate method for the situation
• demonstrate a mastery of multiplication and division of fractions and mixed numbers
• demonstrate a mastery of multiplication and division of decimals
• compute accurately and efficiently using the order of operations

Measurement Objectives: Students will be able to

• use an appropriate unit when measuring a desired attribute
• use the appropriate labels for perimeter and area of squares, rectangles, triangles, and circles
• express time as minutes or as fractional or decimal parts of an hour
• use a protractor to measure and draw angles to the nearest degree
• use a ruler to measure and draw segments to the nearest sixteenth of an inch or tenth of a centimeter (millimeter)
• convert units within the metric system
• convert units within the customary system
• compare relationships between the metric and the customary systems
• understand the relationships between linear, square, and cubic units
• select and use the appropriate unit to estimate perimeter and area of squares, rectangles, triangles, and circles
• calculate distance using map scales
• calculate dimensions using scale drawings
• determine and appropriate scale to represent measurements of an actual figure
• create scale drawings and models
• understand the relationship between units of different measures to calculate rates

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