The following discussions and activities are designed to introduce students to fractions,
including operations with fractions, converting fractions to decimals and percents. The activities
provide ample practice opportunities to reinforce the information from the discussions.
Objectives
Upon completion of this lesson, students will:
have learned about fractions and operations with fractions, namely addition, subtraction, multiplication and division
have learned to convert fractions to decimals and to percents
Standards Addressed:
Grades 3-5
Numbers and Operations
Compute fluently and make reasonable estimates
Grades 6-8
Numbers and Operations
Compute fluently and make reasonable estimates
Understand meanings of operations and how they relate to one another
Grade 6
Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
COMPETENCY GOAL 1: The learner will understand and compute with rational numbers.
Grade 7
Number and Operations, Measurement, Geometry, Data Analysis and Probability, Algebra
COMPETENCY GOAL 1: The learner will understand and compute with rational numbers.
3rd Grade
Computation and Estimation
3.11 The student will add and subtract with proper fractions having like denominators of 10 or less, using concrete materials and pictorial models representing areas/regions, lengths/measurements, and sets.
Number and Number Sense
3.05a The student will divide regions and sets to represent a fraction;
3.05b The student will name and write the fractions represented by a given model (area/region, length/measurement, and set). Fractions (including mixed numbers) will include halves, thirds, fourths, eighths, and tenths.
3.06 The student will compare the numerical value of two fractions having like and unlike denominators, using concrete or pictorial models involving areas/regions, lengths/measurements, and sets.
4th Grade
Computation and Estimation
4.8 The student will estimate and find the quotient of two whole numbers, given a one-digit
divisor.
4.9.a add and subtract with fractions having like and unlike denominators of 12 or less,
using concrete materials, pictorial representations, and paper and pencil;
4.9.c solve problems involving addition and subtraction with fractions having like and
unlike denominators of 12 or less and with decimals expressed through
thousandths, using various computational methods, including calculators, paper
and pencil, mental computation, and estimation.
4.8
4.9.a
4.9.c
Number and Number Sense
4.2.b The student will represent equivalent fractions;
4.2.c The student will relate fractions to decimals, using concrete objects.
4.3 The student will compare the numerical value of fractions (with like and unlike denominators) having denominators of 12 or less, using concrete materials.
5th Grade
Computation and Estimation
5.4 The student will find the sum, difference, and product of two numbers expressed as decimals through thousandths, using an appropriate method of calculation, including paper and pencil, estimation, mental computation, and calculators.
5.5 The student, given a dividend of four digits or fewer and a divisor of two digits or fewer, will find the quotient and remainder.
5.6 The student, given a dividend expressed as a decimal through thousandths and a single-digit divisor, will find the quotient.
5.7 The student will add and subtract with fractions and mixed numbers, with and without regrouping, and express answers in simplest form. Problems will include like and unlike denominators limited to 12 or less.
6th Grade
Computation and Estimation
6.6a The student will solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in simplest form; and
6.6b The student will find the quotient, given a dividend expressed as a decimal through thousandths and a divisor expressed as a decimal to thousandths with exactly one non-zero digit.
6.6a The student will solve problems that involve addition, subtraction, multiplication, and/or division with fractions and mixed numbers, with and without regrouping, that include like and unlike denominators of 12 or less, and express their answers in s
Number and Number Sense
6.1 The student will identify representations of a given percent and describe orally and in writing the equivalence relationships among fractions, decimals, and percents.
6.4 The student will compare and order whole numbers, fractions, and decimals, using concrete materials, drawings or pictures, and mathematical symbols.
7th Grade
Computation and Estimation
7.4a The student will solve practical problems using rational numbers (whole numbers, fractions,
decimals) and percents; and
7.4 The student will
Number and Number Sense
7.1 The student will compare, order, and determine equivalent relationships between fractions, decimals, and percents, including use of scientific notation for numbers greater than 10.
8th Grade
Computation and Estimation
8.3 The student will solve practical problems involving rational numbers, percents, ratios, and proportions. Problems will be of varying complexities and will involve real-life data, such as finding a discount and discount prices and balancing a checkbook.
8.3 The student will solve practical problems involving rational numbers, percents, ratios, and proportions. Problems will be of varying complexities and will involve real-life data,
Reason for Alignment: This lesson takes students through several operations and conversions with fractions, decimals and per cents. It goes with Fraction Four, Conversions and a couple of other activities. This is a good, basic practice lesson.
Student Prerequisites
Arithmetic: Student must be able to:
add and subtract whole numbers
work with simple fractions in lowest terms
Technological: Students must be able to:
perform basic mouse manipulations such as point, click and drag.
use a browser for experimenting with the activities.
Teacher Preparation
Access to a browser
pencil and paper
Key Terms
decimal
Short for the term "decimal fraction", a decimal is another way to represent fractional numbers. The decimal uses place value to express the value of a number as opposed to a fraction that uses a numerator and denominator.
denominator
In a rational number, the number below the fraction bar that indicates how many parts the whole is divided into. See also numerator
fraction
A rational number of the form a/b where a is called the numerator and b is called the denominator
numerator
The number above the fraction bar that indicates the number of parts of the whole there are in a rational number
percent
A ratio that compares a number to one hundred. The symbol for percent is %
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 students if they remember how to reduce a fraction, such as 8/12 or 6/60.
Lead a discussion about
fractions to review basic terminology and understanding.
Objectives
Let the students know what it is they will be doing and learning today. Say something like this:
Today, class, we will be talking more about fractions, and how to do basic math operations
with them such as addition, subtraction, multiplication and division.
We are going to use the computers to learn about fractions, but please do not turn your
computers on or go to this page until I ask you to. I want to show you a little about this
activity first.
Be sure students are familiar with how to convert fractions into
decimals, and how to round numbers.
When students have mastered working with fractions and decimals, demonstrate changing decimal
numbers into
percents.
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.
Open your browser to
Fraction Four in order to demonstrate this activity to the students.
Guided Practice
You may want to have students take turns giving answers to the problems and work through one or
two games as a class until students are ready to try it on their own.
If you choose to, you may also show students the
Conversions tool, which converts fractions to decimals, and decimals to fractions.
Independent Practice
Allow the students to work in groups of two. Monitor the room for questions and to be sure that
the students are on the correct web site.
Closure
You may wish to bring the class back together to discuss any problems that were especially hard
for students to solve. Once the students have been allowed to share what they found, summarize
once more the main points of the lesson.
Alternate Outline
This lesson can be rearranged in several ways if there is only one available computer:
Have students complete paper worksheets of problems with fractions, decimals and percents, and
use
Fraction Four as a reward for two students at a time who have showed proficiency in solving the problems on
paper.
Alternatively, select students who need additional practice to use the game. Teams of one
strong student and one who needs help work well with this activity.
Suggested Follow-Up
After completing this lesson, several lessons could be tackled. For example: