Summer Math Reinforcement Packet Students Entering into 4th Grade THIRD GRADE GRADE LEVEL EXPECTATIONS IN MATHMATICS When entering fourth grade this is what is expected that your child should already know. 1. Read, write and order numbers to 10,000 in both numerals and words. 2. Identify the place value of a digit in a number. 3. Example: 3,241, the 2 is in the hundreds place. 4. Recognize and use expanded notation for numbers to 9,999. 5. Example: 2,517 is 2,000 + 500 + 10 + 7; and 4 hundreds and 2 ones is 402. 6. Can count orally by 6 s to 72, 7 s to 84, 8 s to 96 and 9 s to 108. From previous years they should already know how to count by 2 s, 3 s, 4 s, 5 s and 10 s. 7. Know even numbers end in 0, 2, 4, 6, or 8 and odd numbers end in 1, 3, 5, 7, or 9. 8. Add and subtract fluently two numbers with regrouping through 999. 9. Can estimate the sum or difference of two numbers with 3 digits (rounding the numbers then adding or subtracting them). 10. Know multiplication facts through 10 x 10 fluently. 11. Understand multiplication and division fact families and the inverse relationship of these two operations (just like addition and subtraction). 12. Example: 3 x 8 = 24, the 24 8 = 3 and 24 3 = 8. 13. Can solve 7 x = 42 or 12 = 4 using the above inverse relationship between multiplication and division as stated in #9. 14. Example: 7 x = 42 think 42 7 = 6 so 7 x 6 = 42. 15. Mentally calculate a product up to a three-digit number (even hundreds) by a one digit number. 16. Example: 500 x 3 (5 x 3 = 15 then add 2 zeros at the end for 1500) or 17. 70 x 4 (7 x 4 = 28 then add a zero for 280). 18. Understand basic fractions and the terms numerator and denominator. 19. Recognize, name and use equivalent fractions with denominators 2, 4 and 8. Can use fraction strips. 20. Use common units of measurements in length (centimeter, decimeter, Meter, Kilometer), capacity (Milliliter, Litter), mass (gram and kilogram) and tell time rules, AM and PM. 21. Can calculate the perimeter of a different figures like square, triangle and rectangle Perimeter is the outer edge; you add the lengths of all sides. 22. Understand that area of a square or rectangle is the space in the middle (using square unit, count all squares) 1 P a g e
23. Identify perpendicular and parallel lines. Perpendicular- two lines that form a right angle. 24. Parallel- two lines that will never cross they go along side one another. 25. Identify two-dimensional shapes: parallelogram, trapezoid, circle, rectangle, square, and rhombus. 26. Identify three-dimensional solids: cube, rectangular prism, sphere, pyramid, and cone. Faces are the flat 27. surface, edges are the straight folds where 2 faces come together, vertices is the point where 3 or more 28. Edges come together. 29. Read and interpret bar graphs 30. Knows maximum, minimum and range of a set of values. Range is the largest subtract the smallest. TERMS Sum: the answer to an addition problem. Difference: the answer to a subtraction problem. Product: answer to a multiplication problem. Quotient: answer to a division problem. Edges: This is all the straight lines of a figure. Like the edge of a desk, where 2 faces come together. Faces: This is the flat surface of a figure. Vertex: This is all the corners of a figure. The point where 3 or more edges come together. Perimeter: You add up all the sides. (You are adding all lengths of the outer edges together.) Area: Area of a square or rectangle is the space in the middle (using square unit, count all squares) Median: Arrange numbers from smallest to largest. What number is in the middle? That is the Median number. Maximum: Largest number in the set of numbers. Minimum: Smallest number in the set of numbers. 2 P a g e
Entering 4 th grade summer Math Packet Name: 4 th grade teacher: I have checked the work completed: Parent Signature DO NOT use a calculator when completing this packet 1. Write the factors: (Tables 2-10 only) Write all of the possible multiplication sentences (tables 2-10 only) for the following numbers; (write answers other than x1) ( Ex: 9 = 3x3, 18 = 6x3 or 9x2 ) Number Multiplication sentence 1 Multiplication sentence 2 9 3x3 12 3x4 6x2 14 2x7 15 3x5 16 4x4 8x2 18 9x2 6x3 20 10x2 5x4 21 7x3 24 6x4 8x3 25 5x5 27 9x3 28 7x4 30 5x6 32 8x4 35 5x7 36 6x6 40 5x8 42 7x6 45 9x5 48 6x8 49 7x7 56 7x8 63 9x7 64 8x8 72 9x8 81 9x9 3 P a g e
561 31 9 60 Kareem went to the beach at 9:00 to get some tan : A. Am B. Pm 4 8 4 P a g e
Rangers 45 + 65 =110 Gophers 36 + 76 = 112 The winner team is Gophers 5 P a g e
2400 9345 8715 = 630 points 15 minutes to 1 Or 15 minutes before 1 6 P a g e
6 out of 8 2 4 4 classes 7 P a g e
300+1000=1300 4443 1016 4+15-6 = 19-6 = 3 3 1 5 4 2 BC & DE 8 P a g e
5+7 = 12 8x7 = 56 49/7 = 7 4 + 4 + 4 +4 = 16 inches 14 28 9 P a g e
One line of symmetry 22500 < 36 + 22 + 36 + 22 = 116 yards 6176932237900 10 P a g e
The midpoint is B 11 P a g e
3000 400 2 5000 300 20 5 12 P a g e
` 3532 5203 13 P a g e
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The liquid in a tea cup; A. 5 liters B. 2 Milliliters C. 250 Milliliters D. 2 Liters The car weight is ; A. 1500 grams B. 1500 kilograms C. 30 kilograms D. 2000 grams Write how long is the pencil? A can of beans; A.120 centimeters B. 2 meters C. 2 kilometers D. 10 centimeters 10 centimeters 15 P a g e
24 64 14 18 25 54 40 4 12 8 49 8 8 9 24 5 16 56 8 9 24 24 36 9 16 P a g e
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