This lesson is designed to show students how to make estimations.

Objectives

Upon completion of this lesson, students will:

have worked with estimations of quantity, length and area.

have practiced making comparison estimations of two different items and estimating whether an amount is greater or less than a specified amount.

Standards Addressed:

Grade 10

Estimation and Computation

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

Grade 6

Estimation and Computation

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

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.

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

Advanced Functions and Modeling

Data Analysis and Probability

Competency Goal 1: The learner will analyze data and apply probability concepts to solve problems.

3rd Grade

Numbers and Operations

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.

4th 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.

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.

6th Grade

Number and Operation

Content Standard 1.0 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.

7th 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.

8th 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.

3rd Grade

Number and Number Sense

3.03 The student will compare two whole numbers between 0 and 9,999, using symbols (>, <, or =) and words (greater than, less than, or equal to)

3.3 The student will compare two whole numbers between 0 and 9,999, using symbols (>, <, or = ) and words (greater than, less than, or equal to).

4th Grade

Computation and Estimation

4.5 The student will estimate whole-number sums and differences and describe the method of
estimation. Students will refine estimates, using terms such as closer to, between, and a
little more than.

4.7 The student will find the product of two whole numbers when one factor has two digits or
fewer and the other factor has three digits or fewer, using estimation and paper and
pencil. For larger products (a two-digit numeral times a three-digit numeral), estimation
and calculators will be used.

4.8 The student will estimate and find the quotient of two whole numbers, given a one-digit
divisor.

4.5

4.7

4.8

6th Grade

Computation and Estimation

6.7 The student will use estimation strategies to solve multistep practical problems involving whole numbers, decimals, and fractions (rational numbers).

Measurement

6.10 The student will estimate and then determine length, weight/mass, area, and liquid volume/capacity, using standard and nonstandard units of measure.

The best guess arrived at after considering all the information given in a problem

tolerance

Tolerance is the amount of error accepted in a given situation. See Estimator

Lesson Outline

Focus and Review

Remind students what has been learned in previous lessons that will be pertinent to this lesson
and/or have them begin to think about the words and ideas of this lesson:

Ask the students what an
estimate is and to think of an example. Have a student share an example with the class. A starter
example might be, "How many inches long is this chalkboard?"

Review the comparison terms,
greater than,
less than, and
almost the same as, when giving examples of estimates. For example, "Is the size of the window greater than the
size of the chalkboard?"

Objectives

Let the students know what it is they will be doing and learning today. Say something like this:

Today we are going to study
estimates.

We are going to use the computers to learn about making estimations, but please do not turn
your computers on or go to this page until I ask you to.

Teacher Input

In this part of the lesson you will explain to the students how to do the assignment. You should
model or demonstrate it for the students, especially if they are not familiar with how to use our
computer applets.

When you are satisfied your students are familiar with estimates, open your browser (but don't
let the students open theirs yet) to the
Estimator activity in order to demonstrate it to the students.

Show students the first estimation question and ask them to give you the answer. Enter their
number, and show them that if they are not close enough, they will be prompted to refine their
answer, either higher or lower. Demonstrate the "hint" button if students are struggling.

Pass out the
Estimator Worksheet. Complete the worksheet with the students. As you demonstrate and discuss the problems, ask
some students to explain orally how they arrive at their estimates.

Pass out the
Comparison Estimator Worksheet. Circulate through the room, giving help as needed, while students complete the worksheet.

Closure

Just before the end of class, bring the students together and ask if any of them still have
questions about estimation.

Asking students which problems gave them the most trouble might be a way to spark
conversation.

You might want to ask students to share their strategies for making estimates.

To evaluate students' comprehension of the class, collect their worksheets.

Alternate Outline

This lesson can be rearranged in several ways.

If the students pick up the concept of estimation right away, you may want to work together
with them on the first worksheet, but then give them the other two to do independently.

If students need more time to absorb the material, you might decide to give them only one or
two of the estimation activities, or take two or more days to cover all the activities.

Suggested Follow-Up

As an extension, and if the students are proficient with addition and multiplication using
decimals, you may want to have the students work in pairs with the
Estimator Four activity. In it they take turns estimating addition and multiplication problems.