Estimator Four

What is Estimator Four?

This activity allows two users to play a game of estimation where each player tries to connect four game pieces in a row before his or her opponent does. The players earn game pieces by accurately estimating the answers to various problems. Users can choose to estimate addition, multiplication, and percentage problems.

The activity is similar to Connect Four, and is designed for two players. The goal is to have four pieces of the same color connected either horizontally, vertically, or diagonally. One player uses red pieces, while the other player uses black pieces. To earn a piece, you need to answer a estimation-related question.

One method of estimation is to round the numbers first, then complete the operations. To round, think about making "easy" numbers. With larger numbers, this probably means rounding to hundreds, or even thousands depending on the size of the numbers. With smaller numbers, rounding to hundreds or tens could give you answers that are not close to the correct answers. If the numbers are less than one hundred apart, rounding to the nearest hundred will probably not be the best method. Instead, consider rounding to the nearest ten or even five.

Estimation skills are crucial in day to day life. Being able to estimate well can help in reading maps, making economical purchases, determining how much tip to leave for a meal, telling a friend an accurate time where you can meet them someplace after finishing your chores, and many other daily tasks.

How Do I Use This Activity?

This activity allows the user to practice estimating the results of addition, multiplication, and percentage problems.

In this applet, questions are categorized by a combination of level (which determines the difficulty) and by types of problems listed. For more information on how questions are generated and what each level and problem type means, see Question Types for Estimator Quiz and Estimator Four.

Controls and Output

  • This activity is similar to Connect Four, and is designed for two players. The goal is to have four pieces of the same color connected either horizontally, vertically, or diagonally. One player uses red pieces, while the other player uses black pieces.
  • Before you start the game, you can set several options. You can choose how much time each player will have to answer the questions. You can set the tolerance, which determines how close your answer must be to the actual answer to be counted correct. You can choose the problem difficulty (Level 1, Level 2, Level 3). You can also select the types of estimation problems you want to see. Once you have all the settings as you want them, click the Start Game button.
  • After clicking the Start Game button, a new screen appears. Towards the left of the screen is a table that lists the types of questions selected along with the difficulty level.
  • To earn a piece, you need to answer an estimation-related question. Enter your answer into the answer text box:
  • After you have entered your answer, you need to click on the button to find out if you are correct. Since this is an estimation activity, your answer doesn't have to be exactly right. It can be either above or below the actual answer, as long as it is within the tolerance selected from the Answer must be menu in the starting screen.
  • The timer on the right-hand side of the board shows how much time you have left to answer. Once the timer turns all gray, the time is up. If you chose "No Time Limit," the timer will simply be gray, and it will not count down.
  • If a player answers a question correctly, that player will be able to place a piece on the board. To place a piece, simply click on the column that you want to drop the piece into. The piece will fall into the lowest available slot in the column.
  • If a player answers incorrectly, the correct answer will be displayed in a pop-up window and then the other player will be asked a new question. No one will place a piece on the board if a question is answered incorrectly.
  • If you want to restart the game or change options selected on the beginning screen, you can do so by clicking on the New Game button:
  • To change the font size of the question displayed you can, at any time during game play, select one of the three radio buttons on the left side of the screen:
  • This activity will automatically record how successful you are at answering the questions. To view the score, press the Show Score button at the bottom of the activity and a pop-up window will appear with the scoreboard. To close this pop-up window press the Close button or click back on the main window.
  • To pause the scoring, press the Active button at the bottom of the screen and it will change to a Paused button. To resume scoring, press the Paused button.
  • To reset the scoreboard, open the scoreboard using the Show Score button and then press the Reset button.

Description

This activity allows two users to play a game of estimation where each player tries to connect four game pieces in a row before his or her opponent does. The players earn game pieces by accurately estimating the answers to various problems. Users can choose to estimate addition, multiplication, and percentage problems. This activity would work well in groups of 2 for about 25-30 minutes if you use the exploration questions and 15-20 minutes otherwise.

Place in Mathematics Curriculum

This activity can be used to:

  • Introduce students to the uses and limits of estimation
  • Reinforce understanding of addition, multiplication, and percentage problems involving largenumbers

Standards Addressed

Grade 3

  • Estimation and Computation

    • The student determines reasonable answers to real-life situations, paper/pencil computations, or calculator results.
    • The student accurately solves problems (including real-world situations).
  • Numeration

    • The student demonstrates conceptual understanding of whole numbers up to one thousand.

Grade 4

  • Estimation and Computation

    • The student determines reasonable answers to real-life situations, paper/pencil computations, or calculator results.
    • The student accurately solves problems (including real-world situations).
  • Numeration

    • The student demonstrates conceptual understanding of whole numbers to ten thousands.

Grade 5

  • Estimation and Computation

    • The student determines reasonable answers to real-life situations, paper/pencil computations, or calculator results.
    • The student accurately solves problems (including real-world situations).
  • Numeration

    • The student demonstrates conceptual understanding of whole numbers to millions.

Grade 6

  • Estimation and Computation

    • The student determines reasonable answers to real-life situations, paper/pencil computations, or calculator results.
  • Measurement

    • The student demonstrates understanding of measurable attributes.

Grade 7

  • Estimation and Computation

    • The student solves problems (including real-world situations) using estimation.

Grade 8

  • Estimation and Computation

    • The student solves problems (including real-world situations) using estimation.

Grade 9

  • Estimation and Computation

    • The student solves problems (including real-world situations) using estimation.
  • Numeration

    • The student demonstrates conceptual understanding of real numbers.

Grade 10

  • Estimation and Computation

    • The student solves problems (including real-world situations) using estimation.
  • Numeration

    • The student demonstrates conceptual understanding of real numbers.

Number and Quantity

  • Quantities

    • Reason quantitatively and use units to solve problems.

Grades 3-5

  • Numbers and Operations

    • Compute fluently and make reasonable estimates

Grades 6-8

  • Numbers and Operations

    • Compute fluently and make reasonable estimates

Grades 9-12

  • Numbers and Operations

    • Compute fluently and make reasonable estimates

Technical Mathematics I

  • Number and Operations

    • Competency Goal 1: The learner will apply various strategies to solve problems.

5th Grade

  • Number and Operation

    • The student will develop number and operation sense needed to represent numbers and number relationships verbally, symbolically, and graphically and to compute fluently and make reasonable estimates in problem solving.

Grade 3

  • Number, Operation, and Quantitative Reasoning

    • 5. The student estimates to determine reasonable results.

Grade 4

  • Number, Operation, and Quantitative Reasoning

    • 5. The student estimates to determine reasonable results.

Grade 5

  • Number, Operation, and Quantitative Reasoning

    • 4. The student estimates to determine reasonable results. The student is expected to use strategies, including rounding and compatible numbers to estimate solutions to addition, subtraction, multiplication, and division problems.

Textbooks Aligned

Book 3

  • Module 2 - At the Mall

    • Section 5: Working with Negative Fractions

6th

  • Module 1 - Patterns and Problem Solving

    • Section 1: Operations, Estimation, and Mental Math

7th

  • Module 5 - Recreation

    • Section 4: Percent

Be Prepared to

  • Encourage the students to estimate rather than trying to compute the values exactly
  • Discuss how estimation is not as accurate as calculation
  • Explain the difference between close, really close, and almost perfect (almost perfect is the mostaccurate)
  • Suggest that the students eventually increase the difficulty level