Comparing Fractions & Counting Money

Comparing Fractions

Lesson Objective

Demonstration of

Learning

3.3H

I am learning to compare two fractions having the
same denominator in problems by reasoning
about their sizes and justifying the conclusion
using symbols, words, and pictorial models.

Given 4 questions, I will compare two fractions
having the same denominator in problems by
reasoning about their sizes and justifying the
conclusion using symbols, words, objects, and
pictorial models with 100% mastery level.

Academic Vocabulary

Comparing Fractions

●

compare

●

denominator

●

eighths

●

equivalent

Object

Picture/Model

Number Lines

Symbols/Words

One-third is less than
two-thirds because one
is less than two when
the units are the same.

1
3

2
< 3

●

fourths

●

halves

●

intervals

●

number line

●

numerator

●

partition

●

sixths

●

thirds

Preview Challenge

How do the comparisons change if the unshaded sections are compared?

Compare the two fractions in two different ways using the symbols: < and >.

Label the shaded sections of each pair of models.

Draw

The number lines represent two different fractions.

Which comparison of the fractions is true?

Draw

WE DO

I Do

Kenneth, Kenan and Kai have not finished their book reports. The shaded parts of the models
show the fraction of each student’s book report completed.

Which statement is true?

A

Kai has more work to do than anyone because 3 of 4 parts is greater than the parts
Kenneth and Kenan have completed.

B

Kenan has the most work to do because 1 of 4 parts is less than the parts Kenneth and
Kai have completed.

C

Kenan has the least amount of work to do because 1 of 4 parts is less than the
parts Kenneth and Kai have completed.

D

Kenneth has the least amount of work to do because 2 of 4 parts is in the middle of
the parts Kenan and Kai have completed.

Kenneth Kenan Kai

A cookie recipe calls for different measures of ingredients. The shaded sections of the
models show the amount of one cup needed of each ingredient.

Which statement compares the ingredients correctly?

A

There is more coconut in the recipe because the cups are all the same size.

B

There are more pecans in the recipe because pecans are larger in size than coconut
and marshmallow.

C

The cup of pecans is the fullest because 4 parts of 8 total parts is one-half of the cup.

D

The cup of marshmallow is the fullest because 6 parts of one whole is more than 2 or 4
of the same whole.

We Do

pecans coconut marshmallow

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Closure

What is the same about the models shown? What is different?

What two comparisons can be written to describe the relationship

between the shaded parts of each model?

Counting Money

Preview Challenge

Ruby said she has $4.50. Do you agree with Ruby? Why or why not?

Ruby has the money shown in her purse.

Learning
Objective

Demonstration of

Learning

Date

(3.4C) I am learning how to determine the
value of a collection of coins and bills.

Given 3 problems, I will determine the
value of a collection of coins and bills with
100% accuracy.

Success Criteria

I Can sort the currency in order to assist in finding the total.

I can skip count and label the value of the sorted currency.

I can find the sum using a running total.

I will determine the value of a collection of coins and bills.

Academic Vocabulary

Money

●

coins
○penny

○nickel

○dime

○quarter

●

dollar bills
○one

○five

○ten

○twenty

○fifty

Mrs. Sims gave the money shown to her son for an allowance this week.

What amount of money did Ms. Sims give her son?

A

$ 8.04

C

$ 8.09

B

$ 7.34

D

$ 7.09

I Do

We Do

Rafael paid for a deluxe car wash and detail with the money shown.

What was the cost of the car wash and detail if Rafael paid the exact amount?

A $ 21.16

C $17.16

B $18.16 D $17.46

I Do

Rogelio purchases books at the book fair for $11.53. Which collection of bills and
coins shown does NOT represent the amount of money Rogelio paid for the books?

A

C

B

D

Cameron paid $2.67 for a sandwich in the cafeteria. Which collection of bills
and coins represents $2.67?

A

C

B

D

We Do

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Closure

What strategies can be used to determine the value of a collection of

money?