Assessment Examples

Module 1-1

4-2.1 Recognize the period in the place-value structure of whole numbers: units, thousands, millions, and billions.

Sample 1

Which of these is the number 5,005,014? A five million, five hundred, fourteen B five million, five thousand, fourteen C five thousand, five hundred, fourteen D five billion, five million, fourteen

Sample 2

The estimated cost to build a new baseball stadium is ninety-four million dollars. What is this number in standard form? A $90,400 B $94,000 C $90,400,000 D $94,000,000

Module 1-2

4-2.8 Apply strategies and procedures to find equivalent forms of fractions. 1 4-2.9 Compare the relative size of fractions to the benchmarks 0, , and 1. 2 Sample 1 4 2 Students in Mrs. Johnson’s class were asked to tell why is greater than . Whose 5 3 reason is best? Explain your answer. A Kelly said, “Because 4 is greater than 2.” B Keri said, “Because 5 is larger than 3.” 4 2 C Kim said, “Because is closer to 1 than .” 5 3 D Kevin said, “Because 4 + 5 is more than 2 + 3.”

Sample 2.

These three fractions are equivalent. Give two more fractions that are equivalent to these. Module 1-3

4.2.6 Compare decimals through hundredths by using the terms is less than, is greater than, and is equal to and the symbols <, >, and =.

Sample 1

Dana is weighing rocks in science class. The first rock weighs 0.62 pounds. The second weighs 0.8 pounds. Write a number sentence that compares the two numbers using <, >, or =.

Sample 2

Compare the numbers using the symbols <, >, and =. 0.8 ____ 0.59

Sample 3

Lois finally got her Karaoke Master 5000 in the mail. It's a machine that automatically scores people's Karaoke performances between 1 and 10, with 10 being the best. To test the machine out, Lois challenged her friend, Pete, to a singing contest. Lois sang the opening of Don Giovanni and got a score of 8.41. Pete sang the theme song for Rescue Pirates, and got a score of 8.14. Compare Lois and Pete’s scores using the words greater than, less than, or equals.

Sample 4

In the number 123.45, what is the value of the 5? What significance does a number’s place value have on its value?

1 1 3 1 4-2.10 Identify the common fraction/decimal equivalents , =.5, =.25, =.75, 2 4 4 3 2 1 1 ≈.33, ≈ .67, multiples of , and multiples of . (A1) 3 10 100

4-2.11 Represent improper fractions, mixed numbers, and decimals. (B2)

Sample 1

What is the decimal 0.7 written as a fraction? 1 A 7 3 B 4 3 C 7 7 D 10

Sample 2 1 Maria ate of her sandwich at lunch. What decimal shows the part of the sandwich she 4 ate? A 0.2 B 0.25 C 0.4 D 0.5

Sample 3 1 Miss Kim asked each student to bring in 0.25 of a dollar for a field trip. Dana brought 4 1 1 of a dollar. Margaret brought of a dollar. Justin brought in of a dollar. Who 10 2 brought exactly the right amount?

Sample 4 3 2 Andrew had of a candy bar left over. Susie had of a candy bar left. Draw how 4 4 many whole candy bars and how many parts could be made from the parts left over?

Sample 5

Mary’s class had a pizza party. There were 5 pizzas and each pizza was cut into 6 equal pieces. After the party, there were 13 slices left. Draw how many whole pizzas and how many parts could be made from the left over pizza.

Module 2-1

4-2.5 Generate strategies to divide whole numbers by single-digit divisors. 4-2.2 Apply divisibility rules for 2, 5, and 10. Sample 1

Shawn has 42 pictures to put in his photo album. He wants to put 3 pictures on each page. Draw a picture that shows your thinking. How many pages does Shawn need for his album? A. 6 B. 7 C. 14 D. 45

Sample 2

2,345 is divisible by A 2 B 5 C 10 D 2, 5 and 10

Sample 3

The students in a class made a total of 112 cookies. They divided the cookies equally into 8 bags. How many cookies were in each bag? Draw a picture to show your thinking.

Moduel 2-2

4-3.1 Analyze numeric, nonnumeric, and repeating patterns involving all operations and decimal patterns through hundredths. 4-3.2 Generalize a rule for numeric, nonnumeric, and repeating patterns involving all operations.

Sample 1

Draw the next 5 figures in the pattern. Describe the rule used to make the pattern. Draw the 100th figure in the pattern. Explain how you know what the figure should look like.

Module 3-1

4-5.4 Analyze the perimeter of a polygon. 4-5.5 Generate strategies to determine the area of rectangles and triangles. Sample 1

Draw out 4 rectangles each with a perimeter of 16 square inches. Use grid paper to create your drawings. You may choose to use color tiles or other manipulative before you create your drawing. Answer: 1 x 7, 2 x 6, 3 x 5, and 4 x 4.

Sample 2

Consider the areas of each of the rectangles. What are the areas of each? Areas: 7 square inches, 12 square inches, 15 square inches and 16 square inches (respectively)

Sample 3

Which has the greatest area? What do you notice about the shape? Answer: Greatest area is the square

Sample 4

Pose the following triangle to the class…ask them to find the area. Sample 5

Prove the areas are congruent.

Module 4-2

4-5.7 Use Celsius and Fahrenheit thermometers to determine temperature changes during intervals.

Sample 1

1) Using the thermometer provided by your teacher, note the temperature right outside the classroom at the start of class. Record the results. ____°C

Wait one day before measuring the temperature again.

At the start of the next school day use the thermometer to measure the temperature right outside the classroom. Record the results. ____°C

How much has the temperature right outside the classroom changed from one day to the next? ____°C

2) How much does the temperature outside change every hour? A lot? A little? Let's find out! Use a Fahrenheit thermometer to determine the temperature outside. Write down the temperature in degrees Fahrenheit.

Wait an hour before taking a second reading of the temperature outside. Write this temperature in degrees Fahrenheit.

Now compare your findings. How much did the temperature outside change over the past hour? ____°F

Module 4-3

4-6.1 Compare how data-collection methods impact survey results. 4-6.3 Organize data in tables, line graphs, and bar graphs whose scale increments are greater than or equal to 1. 4-6.4 Distinguish between categorical and numerical data. 4-6.5 Match categorical and numerical data to appropriate graphs.

Sample 1

Padma's school only has enough money to buy footballs or basketballs, but not both; so Padma takes a survey to find out which is the preferred sport. Padma stands on the blacktop next to the basketball courts with a clipboard and starts asking students whether they prefer basketball or football. She finds that almost everyone walking by prefers basketball and concludes that the school should not spend any more money for footballs. Principal Milner, however, says her survey has not produced reliable results. Why do you think this is?

Sample 2

What is your classmates' favorite cookie? To find out, conduct a survey of 12 people in your class to serve as a sample. Now make a bar graph to show your results. Use an interval of 1 for the y-axis.

Sample 3

In Jenny's school, there are ninety 4th grade students and three 4th grade teachers. Jenny thinks the 4th grade students spend too much time doing homework, and she wants to prepare a report for the student council meeting. She needs to survey the 4th grade students to find out how much homework they are doing, but she doesn't want to spend the time to survey all 90 students. Help her decide how many students and from which classrooms she needs to survey to come up with reasonable results.

Sample 4

Will's brother, Sam, is running for school president on the platform that he will improve the athletic department. His opponent, Che, has promised more vending machines. Will wants to take a poll to see where Sam stands in the rankings, but he's not sure where he should gather his sample data. Which of the groups below should Will survey so that he doesn't get skewed results? a. Students on the football team. b. Students in the Crazy For Candy club. c. Students in the schoolyard at recess. Sample 5

Which table represents the graph most accurately?

Month Profit ($) Month Profit ($) January 5,000 January 5,000 February 10,000 February 10,000 March 7,500 March 7,000 April 15,000 April 15,000 May 18,000 May 20,000 June 20,000 June 20,000 July 16,000 July 15,000

Sample 6

Are the following types of data sets categorical or numerical?

 Ratings such as how much people value or like movies  Favorite color t-shirt  Kinds of pets people have Module 4-5

4-6.6 Predict on the basis of data whether events are likely, unlikely, certain, impossible, or equally likely to occur. 4-6.7 Analyze possible outcomes for a simple event.

Sample 1

Israel rolls 2 number cubes. Each cube has faces numbered 1 to 6.

Which event is most likely to happen? A. He rolls a sum of 21. B. He rolls a sum of 7. C. He rolls a sum of 2. D. He rolls a sum of 1.

Sample 2

Royce has a bag with 8 red marbles, 4 blue marbles, 5 green marbles, and 9 yellow marbles all the same size. If he pulls out 1 marble without looking, which color is he most likely to choose? A red B blue C green D yellow

Sample 3

On the swim team are 3 fourth grade students and 2 fifth grade students. Everyone’s name is put in a hat, and a captain is chosen by picking one name. What are the chances that the captain is a fifth grader? Is it likely? Explain your answer.