Completed draft 5/18/10 Math Summative Assessment # 3 for Grade 4 Cumulative Assessment end of the Year Grade 4 Part 1. Number Sense and Operation: 4.N.4 Understand the place value structure of the base ten number system: 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand 10 thousands = 1 ten thousand 1. What is the value of the 2 in the number 82,675 Answer___________________________ 4.N.5 Recognize equivalent representations for numbers up to four digits and generate them by decomposing and composing numbers 2. What numbers do 7 ones, 3 tens, 9 hundreds and 4 thousands represent? Answer __________________________________ 4.N.7 Develop an understanding of fractions as locations on number lines and as divisions of whole numbers 3. What fraction does K stand for on the number line?
Transcript
Completed draft 5/18/10
Math Summative Assessment # 3 for Grade 4 Cumulative Assessment end of the Year Grade 4
Part 1.Number Sense and Operation:4.N.4 Understand the place value structure of the base ten number system:
1. What is the value of the 2 in the number 82,675
Answer___________________________
4.N.5 Recognize equivalent representations for numbers up to four digits and generate them by decomposing and composing numbers
2. What numbers do 7 ones, 3 tens, 9 hundreds and 4 thousands represent?
Answer __________________________________
4.N.7 Develop an understanding of fractions as locations on number lines and as divisions of whole numbers
3. What fraction does K stand for on the number line?
Answer ________________________
Completed draft 5/18/10
4.N.8 Recognize and generate equivalent fractions (halves, fourths, thirds, fifths, sixths, and tenths) using manipulatives, visual models, and illustrations
4. Shade 2/3 of this drawing
4.N.9 Use concrete materials and visual models to compare and order unit fractions or fractions with the same denominator (with and without the use of a number line)
5. Using the manipulatives below, order the following fractions from least to greatest.
Answer __________________________
4.N.10 and 11 Develop an understanding of decimals as part of a whole
6. Show in correct dollar value notation, what 5 quarters, 3 dimes , 4 nickels, and 2 pennies would look like.
Answer $___.____
Completed draft 5/18/10
4.N.12 Use concrete materials and visual models to compare and order decimals (less than 1) to the hundredths place in the context of money
7. Enzo found $0.56 under the cushions of the couch in the family room. His sister found $0.87 under the cushion of her dad’s chair. Who found the greater amount?
Answer _____________________
Students will understand meanings of operations and procedures, and how they relate to one another.
Operations4.N.14 and 15Use a variety of strategies to add and subtract numbers up to 10,000
8. Find the sum of the following numbers: 2,345 and 57, 457 and 12,432.
9. Find the difference between 9856 and 473.
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4.N.16 Understand various meanings of multiplication and division
10. Given 15 seeds Jamal must divide them among five flower pots. Explain how he should divide them so each pot has an equal number of seeds.
11. Jasmine drew circles in the following pattern. Which expression could be used to find the total number of circles? OOOO OOOO OOOO
Answer ____________________________
4.N.17 Use multiplication and division as inverse operations to solve problems
12. Write a fact family for the following sets of numbers:
a) 32, 4, 8
Answers _____________________
_____________________
_____________________
_____________________
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4.N.18 Use a variety of strategies to multiply two-digit numbers by one-digit numbers (with and without regrouping)
13. A factory can make 96 soccer balls in 1 hour. What is the total number of soccer balls the factory can make in 8 hours?
Answer _____________________________
4.N.19 Use a variety of strategies to multiply two-digit numbers by two-digit numbers (with and without regrouping)
14. Find the product of 73 and 32.
Answer ________________________
4.N.21 Use a variety of strategies to divide two-digit dividends by one-digit divisors (with and without remainders)4.N.22 Interpret the meaning of remainders
15. Find the quotient if the dividend is 437 and the divisor is 4.
Answer ____________________________
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16. Mr. Crandall buys 44 roses. He can fit no more than 6 roses in each vase. How many vases does Mr. Crandall need to hold all of the roses?
Answer ______________________________
4.N.23 Add and subtract proper fractions with common denominators
17. Add the following fractions: 2/3 + 1/3 **Reduce or rename if needed.
Answer _________________
18. Subtract the following fractions: 4/6 - 1/6 **Reduce or rename if needed.
Answer _______________________
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4.N.24 Express decimals as an equivalent form of fractions to tenths and hundredths
19. What fraction does 0.76 represent?
Answer _____________________
4.N.25 Add and subtract decimals to tenths and hundredths using a hundreds chart
20. What is the sum of 0.8 and 0.56?
Answer ___________________
21. How much larger is 0.9 than 0.47?
Answer ___________________
4.N.26 Round numbers less than 1,000 to the nearest tens and hundreds
22. Round 25, 382 to the nearest hundred.
Answer _____________________
4.N.27 Check reasonableness of an answer by using estimation
23. Each bus at Dan's school can carry 37 students. Dan estimates that 400 students would need 12 buses to carry them. Write an expression that can be used to check whether Dan's estimation is reasonable?
Completed draft 5/18/10
Answer ____________________________
Part 2Algebra:
4.A.1 Evaluate and express relationships using open sentences with one operation
24. Mr. Perez is going to buy food for a school party. He needs to buy 64 juice boxes. The juice is sold in packages of 4 juice boxes each. Write a number sentence that would help you figure out how many packages of juice boxes Mr. Perez should buy.
Answer __________________________
4.A.2 Use the symbols <, >, =, and ≠ (with and without the use of a number line) to compare whole numbers and unit fractions and decimals (up to hundredths)
25. Write <, >, =, or ¹ to make these open sentences true.
4.A.3 Find the value or values that will make an open sentence true, if it contains < or >
26. Which number belongs on the line below to make the number sentence correct?
4 + ? < 2 + 7
Answer ____________
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4.A.4 Describe, extend, and make generalizations about numeric () and geometric patterns
27. What are the missing numbers in this pattern? Explain how the pattern is created.
3, 6, 9, __, __, __
Answer ____, _____, _____
4.A.5 Analyze a pattern or a whole-number function and state the rule, given a table or an input/output box
28. Determine the rule for this table and find the missing input number.
Rule _________________________
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Part 3
Geometry Strand
Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.4.G.1 Identify and name polygons, recognizing that their names are related to the number of sides and angles (triangle, quadrilateral, pentagon, hexagon, and octagon) 4.G.2 Identify points and line segments when drawing a plane figure
29. Brian wrote the riddle below.
I have 5 sides. I have 5 angles. What am I?
Draw and name this polygon below.
Name _____________________
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4.G.3 Find perimeter of polygons by adding sides4.G.4 Find the area of a rectangle by counting the number of squares needed to cover the rectangle
30. Jenny makes the bookmark shown below.
4.G.5 Define and identify vertices, faces, and edges of three-dimensional shapes
31. Using the shape above, name the number of edges, vertices, and faces.
______ faces
______ vertices
______ edges
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Students will identify and justify geometric relationships, formally and informally.
Geometric Relationships4.G.6 Draw and identify intersecting, perpendicular, and parallel lines
33. Draw and example of the following using a straightedge/ruler:
Intersecting lines:
Perpendicular lines:
Parallel lines:
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4.G.7 Identify points and rays when drawing angles
34. Draw and label right angle ABC:
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4.G.8 Classify angles as acute, obtuse, right, and straight
35. Identify the following angles as obtuse, acute, right or straight. (Write the name of the angle on the line next to the angle.)
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Part IV
Measurement Strand
Students will determine what can be measured and how, using appropriate methods and formulas.
Units of Measurement4.M.1 Select tools and units (customary and metric) appropriate for the length being measured
36. Which unit of measure is best to use for measuring the thickness of a dictionary?
centimeter kilometer foot yard
Answer ______________
4.M.2 Use a ruler to measure to the nearest standard unit (whole, ½ and ¼ inches, whol feet, whole yards, whole centimeters, and whole meters)
37. What is the length of the crayon shown below?
A 2¼ B 2½ C 2¾ D 3¼
Answer __________________4.M.3 Know and understand equivalent standard units of length: 12 inches = 1 foot / 3 feet = 1 yard
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38. Mr. Scofield has a workbench in his shop. The length and width of the workbench are shown in the diagram below.
Part A
The length of the workbench is 12 feet. What is the length, in yards , of the workbench?
Answer ______________ yards
Part B
The width of the workbench is 2 feet. What is the width, in inches , of the workbench?
Answer _______________inches
4.M.4 Select tools and units appropriate to the mass of the object being measured (grams and kilograms)
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39. Ms. Spencer puts two packets of sugar in her cup of coffee. Which unit ofmeasure is best for measuring how much each packet of sugar weighs?
A gram B kilogram C liter D milliliter
Answer _____________
4.M.5 Measure mass, using grams
40. What tool would you use to measure the mass of an apple?
Answer_________________________________
4.M.6 Select tools and units appropriate to the capacity being measured (milliliters and liters) 4.M.7 Measure capacity, using milliliters and liters
41. Which unit of measure is best for measuring the amount of water in a bathtub?
Answer ____________________
Students will use units to give meaning to measurements.
Completed draft 5/18/10
Units4.M.8 Make change, using combined coins and dollar amounts
42. Brett spends $3.89 on cheese and $2.96 on apples at the grocery store. He gives the cashier $20.00. How much money does Brett receive in change?
Show your work.
Answer $ __________
4.M.9 Calculate elapsed time in hours and half hours, not crossing A.M./P.M.
43. Mr. Starr began working in his garden at 8:00 A.M. He finished working at 11 :30 A.M. How long did Mr. Starr work in his garden?
Answer _______________
4.M.10 Calculate elapsed time in days and weeks, using a calendar
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44. Liam uses the calendar below.
Liam’s birthday is June 7. Exactly 3 weeks later, Liam will go camping. On what date will Liam go camping?
Answer _________________________
Completed draft 5/18/10
Part V
Statistics and Probability StrandStudents will collect, organize, display, and analyze data.
Collection of Data4.S.1 Design investigations to address a question from given data4.S.2 Collect data using observations, surveys, and experiments and record appropriately4.S.3 Represent data using tables, bar graphs, and pictographs
46. Damon, Ruth, and Carrie sold tickets to their school concert. The table below shows the number of tickets each student sold over three days.
