Group 1: shapes with line segments Group 2: shapes with curves D

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1 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal 3 1. Jamie sorts shapes into 2 groups. What rule does she use to sort the shapes? 3. Which rules could be used to divide these shapes into two groups? big shapes, small shapes straight edges, no straight edges symmetrical, not symmetrical Group 1: shapes with line segments Group 2: shapes with curves vertices, no vertices Group 1: square shapes Group 2: shapes with curves 2. Mrs. Ryan shows her class two groups of shapes. Group 1: open shapes Group 2: closed shapes Group 1: shapes with equal sides Group 2: shapes with curves Then she asks, Which rule was used to sort these shapes into groups? large things and small things triangles and squares circles and figures with 4 sides triangles and figures with four sides Page 1

2 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal 3 4. James organized groups of vegetables and fruits according to shape. In one group he had an apple, an orange, and a pumpkin. apple orange pumpkin What other fruit or vegetable could he add to this group? carrot ear of corn pear tomato Page 2

3 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal 3 5. The rule for sorting is has four or more corners. Which group has been sorted correctly? Page 3

4 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal 3 6. Michael s mom keeps track of how much he grows each year. If Michael continues to grow at the same rate, what will his height be when he is in the sixth grade? Michael s Growth hart Grade 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade Height 38 inches 41 inches 44 inches 47 inches?? 50 inches 53 inches 55 inches 56 inches 7. Josh s relatives take a family picture each time they meet at the beach. Pictures were taken in these years: 1977, 1981, 1985, 1989 If this pattern continued, when were the next three pictures taken? 1991, 1993, , 1997, , 1993, , 1999, Each week, the students in Mr. Smith s class keep track of the number of books they read. Mr. Smith s lass Week Number of ooks Read If the pattern stays the same, how many books will be read in week 8? Page 4

5 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal 3 9. Which design will be fifth in this pattern? Pattern 1 Pattern 2 Pattern 3 Page 5

6 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal arrius finds a pattern in this set of numbers. 3, 7, 11, 15, 19,,, What are the next three numbers in this pattern? 21, 27, 29 21, 23, 25 23, 25, 29 23, 27, X X X What shape will be in the fifth space? X Page 6

7 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal Joshua is weaving a pattern into a rug. What would most likely come next? 13. How are these figures arranged in this pattern? by alphabetical order by number of sides by the number of lines of symmetry by the number of faces? Page 7

8 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal If the pattern continues, how many circles would be used in the next figure? , 136, 139, 132, 135, 128, 131, Which number would come next if this pattern continues? Page 8

9 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal Kate made this pattern with balls: 18. ndy made a pattern out of pattern blocks. Which of the following uses a rule most different from Kate s pattern? His sister correctly copied the pattern but used pictures instead. Which picture shows what his sister made? 17. What is the rule to find the missing numbers in the pattern below? dd seven to number in top box Which set of letters has the same pattern as 1, 3, 5, 7, 9? a, c, d, f, h a, c, e, g, i a, d, f, h, j a, d, h, i, p dd eight to number in top box. Multiply number in top box by seven. Multiply number in top box by eight. Page 9

10 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal If this pattern unit were changed to a number pattern, which of the following could it be? Tonya is making a bracelet. If her pattern continues until it ends with 5 white beads, what is the total number of beads needed to make the bracelet? Page 10

11 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal If the pattern continues, how many toothpicks are needed to make the figure with six triangles? Number of Triangles Figure Number of Toothpicks Page 11

12 USU NUM USU NUM USU NUM USU NUM USU NUM USU NUM E PLU RI USU NUM E PLU RI USU NUM USU NUM USU NUM North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal Seth is arranging his coin collection into a triangular pattern. Row 1 E PLU RI 24. If Peter has baseball practice every fourth day in the month of March, starting with March 1, what date will be his last day of practice for the month? Row 2 E PLU RI E PLU RI MRH Row 3 Row 4 E PLU RI E PLU RI E PLU RI E PLU RI E PLU RI S M T W Th F S How many coins will Seth use to make 8 rows of his display? March 28 March 29 March 30 March 31 Page 12

13 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal The Venn diagram shows things related to dogs and birds. ogs irds fur feathers give birth to puppies teeth vertebrate warmblooded beaks lay eggs What do dogs and birds have in common? fur and beaks warm-blooded and give birth teeth and fur vertebrate and warm-blooded 26. The class was putting numbers into groups and then into a Venn diagram. Which number should be in the center of the Venn diagram? ? Page 13

14 North arolina Testing Program EOG Mathematics Grade 3 Sample Items Goal The third grade class was sorting numbers into groups. Then they set up a Venn diagram. Multiples of 5 Multiples of ? What number would be in the center of the Venn diagram? End of Goal 3 Sample Items In compliance with federal law, including the provisions of Title IX of the Education mendments of 1972, the epartment of Public Instruction does not discriminate on the basis of race, sex, religion, color, national or ethnic origin, age, disability, or military service in its policies, programs, activities, admissions or employment. Page 14

15 Goal 3 nswers to EOG Mathematics Grade 3 Sample Items 1. Objective 3.01 Organize objects or ideas into groups; describe attributes of groups and rules for sorting. Thinking Skill: nalyzing orrect nswer: 2. Objective 3.01 Organize objects or ideas into groups; describe attributes of groups and rules for sorting. Thinking Skill: nalyzing orrect nswer: 3. Objective 3.01 Organize objects or ideas into groups; describe attributes of groups and rules for sorting. Thinking Skill: nalyzing orrect nswer: 4. Objective 3.01 Organize objects or ideas into groups; describe attributes of groups and rules for sorting. Thinking Skill: nalyzing orrect nswer: 5. Objective 3.01 Organize objects or ideas into groups; describe attributes of groups and rules for sorting. Thinking Skill: nalyzing orrect nswer: 6. Objective 3.02 (a) escribe and demonstrate patterns in skip counting and multiplication; (b) continue sequences beyond memorized or modeled numbers. Thinking Skill: Generating orrect nswer: 7. Objective 3.02 Use a rectangular coordinate system to describe the path between given points on the plane. Thinking Skill: Generating orrect nswer: 8. Objective 3.02 escribe and demonstrate patterns in skip counting and multiplication; continue sequences beyond memorized or modeled numbers. Thinking Skill: Generating orrect nswer: North arolina Testing Program

16 Goal 3 nswers to EOG Mathematics Grade 3 Sample Items 9. Objective 3.02 escribe and demonstrate patterns in skip counting and multiplication; continue sequences beyond memorized or modeled numbers. Thinking Skill: Generating orrect nswer: 10. Objective 3.03 Extend and create geometric and numeric sequences; describe patterns in a variety of ways; use calculators and computers where appropriate. Thinking Skill: Generating orrect nswer: 11. Objective 3.03 Extend and create geometric and numeric sequences; describe patterns in a variety of ways; use calculators and computers where appropriate. Thinking Skill: Generating orrect nswer: 12. Objective 3.03 Extend and create geometric and numeric sequences; describe patterns in a variety of ways; use calculators and computers where appropriate. Thinking Skill: nalyzing orrect nswer: 13. Objective 3.03 Extend and create geometric and numeric sequences; describe patterns in a variety of ways; use calculators and computers where appropriate. Thinking Skill: nalyzing orrect nswer: 14. Objective 3.03 Extend and create geometric and numeric sequences; describe patterns in a variety of ways; use calculators and computers where appropriate. Thinking Skill: nalyzing orrect nswer: 15. Objective 3.03 Extend and create geometric and numeric sequences; describe patterns in a variety of ways; use calculators and computers where appropriate. Thinking Skill: nalyzing orrect nswer: 16. Objective 3.04 nalyze patterns; describe properties and translate into different forms. reate and record similar patterns. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program

17 Goal 3 nswers to EOG Mathematics Grade 3 Sample Items 17. Objective 3.04 nalyze patterns; describe properties and translate into different forms. reate and record similar patterns. Thinking Skill: nalyzing orrect nswer: 18. Objective 3.04 nalyze patterns; describe properties and translate into different forms. reate and record similar patterns. Thinking Skill: Generating orrect nswer: 19. Objective 3.04 nalyze patterns; describe properties and translate into different forms. reate and record similar patterns. Thinking Skill: nalyzing orrect nswer: 20. Objective 3.04 nalyze patterns; describe properties and translate into different forms. reate and record similar patterns. Thinking Skill: nalyzing orrect nswer: 21. Objective 3.05 Use patterns to make predictions and solve problems. Thinking Skill: Generating orrect nswer: 22. Objective 3.05 Use patterns to make predictions and solve problems. Thinking Skill: Generating orrect nswer: 23. Objective 3.05 Use patterns to make predictions and solve problems. Thinking Skill: Generating orrect nswer: 24. Objective 3.05 Use patterns to make predictions and solve problems. Thinking Skill: nalyzing orrect nswer: 25. Objective 3.06 Use Venn diagrams as a problem-solving strategy to illustrate similarities and differences in sets. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program

18 Goal 3 nswers to EOG Mathematics Grade 3 Sample Items 26. Objective 3.06 Use Venn diagrams as a problem-solving strategy to illustrate similarities and differences in sets. Thinking Skill: nalyzing orrect nswer: 27. Objective 3.06 Use Venn diagrams as a problem-solving strategy to illustrate similarities and differences in sets. Thinking Skill: nalyzing orrect nswer: North arolina Testing Program