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Diagnostic Assessment – Elements of Rational Numbers 1) This assessment is paper and pencil, and may be given whole group. 2) Student responses are written. Directions to student: Today you are going to show some of what you know about rational numbers. These could be in the form of fractions, decimals, or percents. Start at number 1, and do as many problems as you can. If you don’t know something, skip it and go on. You may NOT use a calculator for this assessment. Scoring: Mark the item correct or incorrect Use the chart below to determine the student’s area of need, and approximate level. Question Number (s) 1, 2, 3 Skill Focus Pictorial representation of fractions Fractions as equal parts Fractional parts of groups Fraction and decimal representation and equivalence 4 5, 6, 8 9, 10 1 Elements of Rational Numbers Approx Level B‐D B up C‐D D‐E Diagnostic Assessment – Elements of Rational Numbers 1) Show HALVES in the shapes below: 2) Show THIRDS in the shapes below: 3) Show SIXTHS in the shape below: 2 Elements of Rational Numbers 4) Is this shape cut into FIFTHS? Explain your answer. _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ 5) Ring 1/3 of this group: 6) Mark five‐sixths of this group: 7) Write the following fractions on the number line below: ½ ¼ ¾ 7/8 1/8 5/4 0 8) What is two thirds of 12? Show your work. 3 Elements of Rational Numbers 1 9) If each grid is equal to ONE, write the fraction and the decimal that is represented: a) b) ________ = _________ __________ = __________ Fraction fraction decimal decimal 10) What fraction, decimal, and percent represent the following picture: fraction _______________ decimal ______________ percent _____________ 4 Elements of Rational Numbers