Mrs. Gomez is having a party to celebrate the hard work of the students
in her class. Mrs. Gomez has thirty-four students in the class. The
tables in the classroom only have room for ten students to sit at each
table. How many tables does Mrs. Gomez need in order to have room for
all thirty-four of the students to sit? Show all of your mathematical
thinking.

Alternative Versions of Task

More Accessible Version

Mrs. Gomez is having a party to celebrate the hard work of the students
in her class. Mrs. Gomez has twenty-eight students in the class. The
tables in the classroom only have room for ten students to sit at each
table. How many tables does Mrs. Gomez need in order to have room for
all twenty-eight of the students to sit? Show all of your mathematical
thinking.

More Challenging Version

Mrs. Gomez is having a party to celebrate the hard work of the
students in her classes. Mrs. Gomez has fifty-two students in her
classes. The tables in the room only have room for ten students to sit
at each table. How many tables does Mrs. Gomez need in order to have
room for all fifty-two of the students to sit? Show all of your
mathematical thinking.

Place Value Unit

The Place Value Unit involves understanding
and representing the relative position, magnitude and relationships
within the numeration system in order to answer questions such as:

How can you use the additive property of place value to decompose this number?

How can you use the multiplicative property of place value to describe the meaning of each digit in the number 654,321?

How can you use the base ten property of place value to explain the
relationship between each of the digits in the number 555,555?

What other way(s) can you use hundred thousands, ten thousands,
thousands, hundreds, tens, and ones to show this number without changing
its value?

Exemplars Task-Specific Evidence

This task requires students to use place value to round whole numbers to
the nearest 10. The students are also expected to add rounded numbers
and compare the total to given numbers.

TEKS Mathematical Process Standards

3.1A Apply mathematics to problems arising in everyday life, society, and the workplace.

3.1B Use a problem-solving model that incorporates analyzing given
information, formulating a plan or strategy, determining a solution,
justifying the solution, and evaluating the problem-solving process and
the reasonableness of the solution.

3.1E The student is expected to create and use representations to organize, record, and communicate mathematical ideas.

3.1G Display, explain, and justify mathematical ideas and arguments using
precise mathematical language in written or oral communication.

Underlying Mathematical Concepts

Rounding numbers to base-10

Interpret remainders

Division/Subtraction/Addition

Number sense to 34

Possible Problem-Solving Strategies

Model (manipulatives)

Diagram/Key

Table

Number line

Possible Mathematical Vocabulary/Symbolic Representation

Model

Diagram/Key

Table

Number line

Remainder

Tens, ones

Odd/Even

Shape

Pattern

4/10

100%

Place value

Per

Estimation

Circle, trapezoid, rectangle, square

Equal/Unequal

Possible Solutions

Mrs. Gomez will need 4 tables.

More Accessible Version Solution

Mrs. Gomez will need 3 tables.

More Challenging Version Solution

Mrs. Gomez will need 6 tables.

Possible Connections

Below are some examples of mathematical connections. Your students may discover some that are not on this list.

Patterns: Table +1, Students +10.

There are 6 extra seats at the 4th table.

There are an even number of seats per table.

34 is 3 tens and 4 ones.

Only 4/10 or 40% of table 4 is used.

100% of 3 tables are used.

To solve the task you must round to 4 tables, even though 4 < 5.

Relate to a similar task and state a math link.

Solve more than one way to verify the answer.

Show 10 students per table with other table shapes (square, triangle, circle).

Show equal sets of students per sides of the tables.

Show unequal sets of students per sides of the tables.

Our teacher-friendly tasks are designed to support both the Common Core and Citywide instructional expectations. GO Math! alignments are also available. Set up your FREE 30-day Trial today!

Explore our latest K-5 math material and begin using it in your classroom. Set up your FREE 30-day Trial today!

The Exemplars program is designed to assess students' problem-solving and mathematical-communication skills. It also supports higher-level thinking and extension of mathematical reasoning.