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Standards-based assessment and Instruction

Instructional Task: Grade 2

 

 

 

 

 

 

 

A New Video Game

Task

Austin and Eli have been saving pennies to buy a video game. Austin and Eli know the video game will cost 1,000 pennies. Austin has five hundred fifteen pennies. Eli has 400 + 30 + 5 pennies. Austin and Eli have some bags. Austin and Eli begin putting ten pennies in each bag. Austin thinks they each need to save twenty-five more pennies to have enough pennies to buy the video game. Is Austin correct? Show all your mathematical thinking.

Alternative Versions of Task

More Accessible Version

Austin and Eli have been saving pennies to buy a video game. Austin and Eli know the video game will cost 700 pennies. Austin has three hundred fifteen pennies. Eli has 300 + 30 + 5 pennies. Austin and Eli have some bags. Austin and Eli begin putting ten pennies in each bag. Austin thinks they each need to save twenty-five more pennies to have enough pennies to buy the video game. Is Austin correct? Show all your mathematical thinking.

More Challenging Version

Austin and Eli have been saving pennies to buy a video game. Austin and Eli know the video game will cost 1,000 pennies. Austin has five hundred fifteen pennies. Eli has 400 + 30 + 5 pennies. Austin and Eli have some bags. Austin and Eli begin putting twenty-five pennies in each bag. Austin thinks they each need to save twenty-five more pennies to have enough pennies to buy the video game. Is Austin correct? Show all your mathematical thinking.

 

Place Value Unit

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

  • How could you use base-10 blocks to show what the numerals in this number mean?
  • How can you use the additive property of place value to decompose this number?
  • What other way(s) can you use thousands, hundreds, tens, and ones to show this number without changing its value?
Standards covered in this Unit include: 2.2B, 2.2C, 2.3A, 2.7B

Exemplars Task-Specific Evidence

Students are expected to use different representations of whole numbers to find sums and differences.

TEKS Mathematical Process Standards

  • 2.1A Apply mathematics to problems arising in everyday life, society, and the workplace.
  • 2.1B 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.  
  • 2.1E The student is expected to create and use representations to organize, record, and communicate mathematical ideas.
  • 2.1G Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication. 

Underlying Mathematical Concepts

  • Additive Property of the Base-10 Number System
  • Finding sums when the parts are known and differences when the whole and one
    part is known.
  • Number sense to 1,000
  • Addition/Subtraction
  • Comparison

Possible Problem-Solving Strategies

  • Model (manipulatives)
  • Table
  • Diagram/Key
  • Number line

Possible Mathematical Vocabulary/Symbolic Representation

  • Model
  • Table/Key
  • Number line
  • Total/Sum
  • Part/Whole
  • Odd/Even
  • Subtrahend
  • Minuend
  • Difference
  • Amount
  • Coin
  • Money: penny, nickel, dime, quarter, half-dollar, dollar
  • Money notation: $, ¢
  • Per
  • Tens, hundreds, thousands
  • Expanded notation/Standard notation
  • Equal share
  • Equivalent/Equal to

Possible Solutions

Yes, Austin is correct.

 

 

 

 

 

 

More Accessible Version Solution

Yes, Austin is correct.

More Challenging Version Solution

Yes, Austin is correct.

Possible Connections

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

  • Austin and Eli have a total of 950 pennies.
  • 25 pennies is a quarter.
  • 10 pennies is a dime.
  • Each bag holds a dime’s worth of pennies, 10¢, or 2 nickels.
  • 100 pennies is a dollar, $1.00.
  • 1,000 pennies is 10 dollars, $10.00.
  • It takes 100 bags to hold enough pennies to buy the video game.
  • 40 quarters is 10 dollars.
  • Solve more than one way to verify the answer.
  • Relate to a similar task and state a math link.
  • Austin starts with more pennies (80 more).
  • 25 pennies is a quarter.
  • 50 pennies is a half-dollar.

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Here's What People Are Saying

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.

S. Dement
Teacher

Converse, TX

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