Student Guide: Writing in Math by dan gibson

Teaching ExtendedResponse Writing Skills: Writing in Math Connection Student Guide DANIEL J. GIBSON Instructional Technology/Design Major 10/29/2011

ISTEP--Math Pre-Test 1. Four students have to share one box of 21 markers. Can they share 21 markers equally? Draw a picture to solve.

Explain your answer on the lines below. ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ 2. On Monday, 987 tickets were sold for the third grade play to be performed in the school theatre. The theatre has 1,000 seats. Do you need an estimate or an exact answer to tell how many more tickets to the play can be sold? Explain. ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ How many more tickets can be sold to the play? Answer __________ more tickets

Name: _______________________ 3. Eleanorâ&#x20AC;&#x2122;s class took a vote to choose what kind of ice cream to buy for their class party. They created the circle graph below to show their results.

Eleanorâ&#x20AC;&#x2122;s teacher will buy the 2 most popular kinds of ice cream for the party, and he put cookie dough and strawberry on his list. On the lines below use words, numbers or symbols to describe how Eleanor would explain that her teacher was incorrect. ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ How many more students in the class voted for strawberry than vanilla? Show All Work

Answer_________________ students

Name: ____________________________ Directions: Think about the ISTEP test that you took in third grade. Then, fill in the “K” and “W” columns below. Leave “L” alone.

What you Know

What you Want to know

What you have Learned

Name: ____________________________

Locate Keywords and Choose an Operation Directions: Circle keywords and write the operation you would use to solve the problem. 1. How could you share 16 marbles equally with 4 people?

2. The Eiffel Tower is 320m tall. The CN Tower is 555m tall. How much taller is the CN Tower?

3. Three oranges cost $1.29. How much would a dozen oranges cost?

4. Shawn has four marbles. Christopher has 7 times as many marbles. How many marbles does Christopher have?

5. In October, Leo ordered three books with 602 pages. Frederick ordered two books with 556 pages. How many pages did they order in all?

6. A page of stamps contains six rows of six stamps in each row. How many stamps are there on one page?

7. After giving the cashier $10 for your lunch, you receive$3.70 back in change. How much did your lunch cost?

8. There are 6 reporters on the newspaper. Each reporter wrote three stories. How many stories did they write in all?

9. A class paid $21 on three boxes of â&#x20AC;&#x153;smencils,â&#x20AC;? so that each student can have his or her own. How much did each box cost?

10. A school bus can hold 60 people. How many buses will be needed to take 240 students?

Keywords for Operations Directions: Think about keywords that help you decide on when to add, subtract, multiply, or divide. Use the ten questions to find keywords.

Addition

Subtraction

Multiplication

Division

NAME: _______________________

Problem Solving Planning Table

Directions: Use this chart with the six ISTEP practice problems you receive from you teacher.

Problem #

List any keywords you underlined

Highlighted question (circle one)

What operation(s) will you use? (circle)

Addition

Yes Subtraction No

Multiplication Division

Yes

Addition Subtraction

Multiplication Division

Addition

Yes No

Subtraction Multiplication Division

What is your plan for solving the problem? (Use complete sentences to describe your plan in 2-3 sentences.)

NAME: _______________________

Problem #

List any keywords you underlined

Problem Solving Planning Table

Highlighted question (circle one)

Yes

What operation(s) will you use? (circle)

Addition Subtraction

Multiplication Division

Addition

Yes No

Subtraction Multiplication Division

Addition

Yes Subtraction No

Multiplication Division

What is your plan for solving the problem?

EXIT SLIP

Directions: Write what you have learned about reading word problems.

__________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________

EXIT SLIP

Directions: Write what you have learned about reading word problems.

Directions: Answer the questions the following six questions and fill out the Planning Solving Table.

1. Katie is buying balloons for the guests at her party. She is having 27 guests.

Package Size Medium

BALLOONS Balloons per Package 6

Cost per Package $2

If Katie buys 4 medium packages of balloons, will she have enough so that each guest will have a balloon to take home? Answer_________________________________________________________________

2. Jason is doing his math homework. He finishes one math problem every ten minutes. Use the information to complete the chart below. Time (in minutes) 10 20 30 40 50

Number of Problems 1 2 3

How much time in MINUTES will Jason take to finish 10 math problems? Show All Work

Answer _________________minutes 3. Sara is making birthday cards. She takes 1 hour to make 5 cards. On Tuesday, Sara made 25 cards. How long did Sara spend working on the cards on Tuesday? Show All Work

Answer _______________________

4. The diagram below shows the three floors Elaine will mop for her summer job.

2 yards

3 yards

8 yards

4 yards

5 yards 7 yards What is the total area, in square yards, that Elaine will mop if she mops each floor once?

Area = length x width Show All Work

Answer _____________________ square yards

5. Mr. Nosbig has 24 students in his class. There are 4 reading groups. Each group has the same number of students. How many students are in each reading group?

Show All Work

Answer _____________________

6. Movie tickets cost $6.50 each. Corey and her younger sister Sadie go to the movies. They pay with a $20.00 bill. How much change would they get back? Show All Work

Answer _____________________

Directions: Now, write an explanation for each problem. Pay attention to what is asked.

1. Katie is buying balloons for the guests at her party. She is having 27 guests.

Package Size Medium

BALLOONS Balloons per Package 6

Cost per Package $2

If Katie buys 4 medium packages of balloons, will she have enough so that each guest will have a balloon to take home? On the lines below, tell which operation is needed to solve the problem and explain why. Then solve. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________

Answer_________________________________________________________________

2. Jason is doing his math homework. He finishes one math problem every ten minutes. Use the information to complete the chart below. Time (in minutes) 10 20 30 40 50

Number of Problems 1 2 3

How much time in MINUTES will Jason take to finish 10 math problems? Show All Work

Answer _________________minutes Use words, numbers or pictures to explain how you know how much time it will take Jason to finish all 10 math problems. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________

3. Sara is making birthday cards. She takes 1 hour to make 5 cards. On Tuesday, Sara made 25 cards. How long did Sara spend working on the cards on Tuesday? Show All Work

Answer _______________________

Use words, numbers or pictures to explain how you found your answer. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________

4. The diagram below shows the three floors Elaine will mop for her summer job.

2 yards

3 yards

8 yards

4 yards

5 yards 7 yards What is the total area, in square yards, that Elaine will mop if she mops each floor once?

Area = length x width Show All Work

Answer _____________________ square yards This week, Elaine has to mop floor B twice. At the end of the week, she thinks that she mopped a larger area by mopping floor B twice than mopping floors A and C once.

Use words, numbers, or symbols to explain why Elaine is NOT correct. Be sure to indicate the areas to support your answer. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________

5. Mr. Nosbig has 24 students in his class. There are 4 reading groups. Each group has the same number of students. How many students are in each reading group?

Show All Work

Answer _____________________ Use words or numbers to explain how you found your answer. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ 6. Movie tickets cost $6.50 each. Corey and her younger sister Sadie go to the movies. They pay with a $20.00 bill. How much change would they get back? Show All Work

Answer _____________________ Use words or numbers to explain how you found the amount of change they will get back. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________

EXIT SLIP

Directions: Write what you have learned about writing an explanation for a math problem you solve.

EXIT SLIP

Directions: Write what you have learned about writing an explanation for a math problem you solve.

Now you try it! (Use the checklist below and include all 4 parts.)    

Use complete sentences. Restate the question in your answer. Write down all the steps for solving the problem. End with the final answer.

Use words, numbers or pictures to explain how you found your answer. _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________

Now you try it! (Use the checklist below and include all 4 parts.)    

Use complete sentences. Restate the question in your answer. Write down all the steps for solving the problem. End with the final answer.

Replacing Pronouns Checklist _____ All pronouns (except for “I”) are replaced? _____ Did not use “it, they, or them” _____ Does your writing make sense?

Math Explanation Checklist _____ Did you write in complete sentences? _____ Did you restate the question? _____ Did you include all the steps you took to solve the problem? _____ Did you include the final answer? _____ Does your writing make sense?

Explanation

Explanation is clear and Explanation is clear but detailed. It is easy to could use more details. understand. You can still understand it, but it might be a little difficult.

Explanation is unclear and with no details. I canâ&#x20AC;&#x2122;t read the authors mind.

Complete Sentences

Each sentence is a complete thought with a capital letter and an end mark.

Some sentences are complete thoughts or some are missing a capital letter or end mark

Not many complete sentences and missing capital letters or end marks.

Questions Steps Answer

The question is restated, the steps taken to solve the problem are written, and the answer is given at the end.

The Q, S, or A is missing.

Two or more parts of the Q, S, A are missing.

Completion

All parts of the problem are completed and all the directions were followed.

One or two parts of the problem are missing or some of the directions were not followed.

Several parts of the problem are missing and directions were not followed.

Checking

Two classmates have read your writing and all corrections have been made.

One classmate has read your writing and all corrections have been made.

No one has read your writing and no new corrections were made.

ISTEP--Math Test Directions: Answer the following questions completely.

1. The lines below represent 3 streets in Javier’s neighborhood. C A

Main Street is perpendicular to First Avenue. Pike Street is parallel to Main Street. Use the information above to label each street in Javier’s neighborhood.

A _____________________ B _____________________ C _____________________ Use words, numbers, or symbols to justify the labels for each of the streets in Javier’s neighborhood. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________

2. Mr. Walsh is planning a rectangular garden with a fence. He is considering the two plans shown in the diagram below.

8 feet 4 feet 5 feet Plan A

10 feet Plan B

Complete the table below with the perimeter and area of each garden plan. Area of rectangle = Length x Width Perimeter of rectangle = Side + Side + Side + Side Perimeter (feet)

Area (square feet)

Plan A Plan B The fence Mr. Walsh will use costs $6 for 1 foot. Use words, numbers, or symbols to explain which garden planâ&#x20AC;&#x2122;s fence will cost less money to build. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________

3. There were 18 silly bands on the table. Three friends just bought them from the school store. If they share them equally, how many silly bands will each friend get? Show Work

Answer _____________ Use words or numbers to explain how you found your answer. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ 4. Joey, Tim, and Carlos have 300 cards in all. Joey has 70 cards. Tim has 100 cards. How many cards does Carlos have? Show Work

Answer _____________ Explain who has the most cards. How do you know? __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________