Lesson: Multiply Fractions

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Lesson Objective

SWBAT multiply fractions (mixed numbers and whole numbers)

Lesson Plan

 

Standard 

6NSO.E18 – Estimate results of computation with whole numbers and with positive fractions, mixed numbers, decimals and percentages.  Determine reasonableness of estimates.

 

Aim/Objective:

Key Points

·         Multiply fractions

·         Procedural: S.O.S

·          when we multiply fractions –

·          shape the fractions,

·         operate by multiplying straight across the top and straight across the bottom and

·         simplify

Assessment:

 x  =

 

A trail at Chinquapin Mountain is 3 miles long.  If Ronnie hikes the trail 8 times a month, how many miles will he hike? 

 

A.      6 miles

B.      11 miles

C.      24 miles

D.      25 miles

 

 x  =

 

 

Lesson

Opening:

·         When we think of multiplying we generally think of groups of – today we are going start by seeing what multiplying fractions looks like and then moving into multiplying fractions (mixed numbers, improper numbers) without a model

Intro:

·         Show an area model for the problem:3 x 4 as being the same thing as having three rows of 4

·         Discuss that we can use the same model for fractions. 

·         First we draw the second fraction (model with example ¾ x 2/3). In this example we start by drawing 2/3. Next we will draw a picture of ¾ on top of the 2/3 – for this draw four rows and color in three of them. Last we will see where the fractions overlap and write a fraction based on our new picture.

·         Model through several more examples of drawing out the model for different multiplication of fraction problems

·         For each model have the second fraction already presented and students draw the first fraction on top of it.

·         Allow students to make predictions of the algorithm for multiplying fractions based on the models.

·         Explain to students the algorithm for multiplying fractions – S.O.S – Shape, Operate, Simplify

·         Shape – make the fraction look like a fraction in shape – with a single numerator and single denominator (change mixed numbers to improper fractions, change whole numbers to improper fractions)

·         Operate – multiply straight across the top and straight across the bottom

·         Simplify – simplify the fraction – change any improper fraction to a mixed number – write the number in its most simplest form.

 

Practice: 

·         Students practice multiplying fractions using algorithm on worksheet

·         Students practice applying fraction computation to word problems

 

Closing:

·         Review the steps for the algorithm

·         Discuss ways/situations/contexts for word problems that want us to multiply

·         Exit Ticket

 

Lesson Resources

CW Multiply Fractions and Mixed Numbers   Classwork
1,669
HW Unit 5 Multiply Fractions  
1,208
U6 L5 Smooth Operator multiply fractions  
1,369
U6.L5.Smooth.Operator.multiply.fractions.docx  
603

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