Unit 5 Math Schedule
Monday, 12/3: Finish 5.1 - Fraction Review
Tuesday, 12/4: 5.2 - Mixed Numbers (you will need the
geometric shapes)
Wednesday, 12/5: 5.3 - Ordering Fractions
Thursday, 12/6: 5.4 - Two (Three) Rules for Finding a Common
Denominator (add "quick method")
Friday, 12/7: Differentiation Stations/Catch-Up
Monday, 12/10: 5.5 – Fractions and Decimals: Part 1
Tuesday, 12/11: 5.6 – Fractions and Decimals: Part 2
Wednesday, 12/12: 5.7 – Fractions and Decimals: Part 3
Thursday, 12/13: 5.8 - Using a Calculator to Convert Fractions to
Percents
Friday, 12/14: Differentiation Stations/Catch-Up
Monday, 12/17: 5.9 - Bar Graphs (No circle graphs yet!)
Tuesday, 12/18: Review, slate assessment, etc.
Wednesday, 12/19: Review, games, etc.
Thursday, 12/20: Unit 5 Test
Friday, 12/21: 5th Grade Skating Party
Unit 5
Fractions, Decimals, and Percents
The objectives are to:
Review the meanings of fraction, decimal, and percent.
Convert between fractions, decimals, and percents.
The secure goals are:
Convert between fractions and mixed numbers.
Find equivalent fractions.
Vocabulary
whole
denominator
improper fraction
mixed number
equivalent fractions
percent
numerator
simplest form
repeating decimal
bar graph
5.1 Fraction Review
The objectives are to:
review fractions;
and to find fractional parts of large whole numbers.
Vocabulary
whole
denominator
numerator
unit fraction
Math Message
Write any five fractions in your Math spiral. Circle the
greatest fraction and the least fraction in your set of
fractions.
Fractions
Fractions were invented to express numbers that are
between whole numbers.
Fractions can show measures between whole numbers on
rulers and scales.
Fractions can name part of a whole object (for example,
part of a cake or pizza).
Fractions can name part of a collection of objects (for
example, part of the eggs in a carton).
Fractions can compare two quantities as ratios or rates (for
example, ½ of the class are boys, the car’s gas mileage was
100 miles/4 gallons, or 25 mi/gal).
Fractions can express chance or probability (for example, a
probability of 1/6 that a die will land with 6 up).
Fractions can represent division (for example, ¾ is
equivalent to 3 divided by 4 ).
The top number in a fraction is called the
numerator.
N = North
The numerator tells how many parts you are
looking at and considering.
The bottom or right number in a fraction is called
the denominator.
D = Down
The denominator names the number of equal
parts into which the whole is divided.
If you have 5/6 of a pizza, then the numerator
tells you that five pieces are still left out of six
pieces that your pizza is cut into.
Solving Parts-and-Whole Problems with Fractions
Math Journal page 122
Problems 1 and 2
The whole and the part are given; the fraction needs to be
named.
Problems 3, 4, and 7
The whole is given and the fraction is named; the part
needs to be found.
A unit fraction is a fraction with one as the numerator.
Problems 5, 6, and 8
A part is given and the fraction is named; the whole needs
to be found.
5.2 Mixed Numbers
The Objectives are to:
 review the whole, or ONE;
 to explore mixed-number concepts;
 and to convert between mixed numbers and “improper”
fractions.
Vocabulary
improper fraction
mixed number
Math Message
Take the following pattern blocks:
2 yellow hexagons, 2 red trapezoids, 3 blue
rhombuses, and 6 green triangles.
If a trapezoid is worth ½, what is a rhombus worth?
More Pattern Block Problems
If the triangle is 1/3, what is the ONE?
If the triangle is 1/3, what is the rhombus?
If the rhombus is 1/3, what is the ONE?
If the rhombus is 1/3, what is the triangle?
If the triangle is ½, what is the ONE?
If the triangle is ½, what is the trapezoid?
Math Journal Page 126
Do you know what these are and how they
are different from each other?
Proper Fraction – a fraction where the numerator
is smaller than the denominator. It is worth less
than one.
Improper Fraction – a fraction where the
numerator is bigger than the denominator. It is
worth more than one.
Mixed Number – there is a whole number and a
fraction. It is worth than one.
5.3 Ordering Fractions
The objectives are to:
compare and order fractions;
review equivalent fractions;
explore fraction addition.
Vocabulary
equivalent fractions
fraction stick
Math Message
Complete problems 1 – 5 on journal page 131.
Comparing and Ordering Fractions
1. The Denominators are the Same
If the denominators are the same, then all of the
pieces are the same size.
Only the number of pieces (numerators) need to
be compared.
2/10
6/10
1/10
8/10
5/10
2. The Numerators are the Same
Since the numerators are the same, there are the
same number of pieces for each fraction.
Only the size of the pieces (the denominators)
needs to be compared.
Larger Denominator = Smaller Pieces
Smaller Denominator = Larger Pieces
4/10
4/6
4/5
4/12
4/24
3. Compare to Benchmarks
If numerators and denominators are different, you
can compare each fraction to benchmarks.
Is the fraction closer to 0, 1/2, or one?
2/4
5/6
1/10
1/5
4/6
4. Find Equivalent Fractions with
the Same Denominators
One way to compare fractions is to find a common
multiple for the denominator.
You can change the fractions to the same
denominator by multiplying both the numerators
and denominators of the fractions by the same
number.
5/12 and 9/24
5/14 and 3/7
5. Fraction Stick
Use the Fraction-Sticks Chart in the back of your
Math Journal (and your SRB) to compare
fractions.
5.4
Two Rules for Finding Equivalent Fractions
The objectives are to:
use fraction sticks to find equivalent fractions;
formulate multiplication and division rules for
finding equivalent fractions.
Vocabulary
simplest form (lowest terms)
Math Message
Lisa has a 50-cent piece. Jamal has two quarters.
Sam has five dimes. Hunter has ten nickels. Elliot
has 50 pennies. Write a fraction to show what part
of a dollar each person has. Who has the most
money?
Name fractions that are equivalent to –
1/2
1/4
1/5
1/10
Multiplication Rule
To find an equivalent fraction, multiply both the
numerator and the denominator of the fraction by
the same number.
5.5 Fractions and Decimals:
Part One
The objectives are to:
 rename simple fractions as decimals;
 review rounding decimals;
 to find decimals between pairs of numbers.
Vocabulary
round down
round up
round to the nearest
Math Message
Write three decimals between each of the following
pairs:
45 seconds and 46 seconds
7 dimes and 8 dimes
9.32 seconds and 9.33 seconds
Math Lesson
Write each number as a fraction or a mixed number
and then as a decimal.
Word Form
three-fourths
four-fifths
six-fiftieths
five and one-half
two and nine twenty-fifths
seven and six-twentieths
Fraction
Decimal
Renaming Fractions as Decimals
MJ 139
How do you turn fractions into decimals?
1. Benchmark Fractions
Benchmark Fraction
1/2, 2/4, 3/6, 50/100
1/3, 2/6, 3/9, 33/99
1/4, 2/8, 3/12, 4/16, 25/100
2/3, 4/6, 6/9, 66/99
3/4, 6/8, 9/12, 75/100
1/5, 2/10, 3/15, 10/50, 20/100
2/5, 4/10, 20/50, 40/100
3/5, 6/10, 30/50, 60/100
4/5, 8/10, 40/50, 80/100
1/1, 2/2, 5/5, 10/10, 50/50, 100/100
Equivalent Decimal
0.5, 0.50, 0.500
0.33, 0.330
0.25, 0.250
0.67, 0.670
0.75, 0.750
0.2, 0.20, 0.200
0.4, 0.40, 400
0.6, 0.60, 0.600
o.8, 0.80, 0.800
1.0
2. Fractions with Denominators of 10, 100, 1000
3. Divide Numerator by Denominator
Playing Estimation Squeeze
Student Reference Book Page 268
5.6 Fractions and Decimals: Part 2
The objectives are to:
 use a fraction-stick chart;
 rename “easy” fractions;
 to begin a table of decimal equivalents for
fractions.
Math Message
How would you use the Probability Meter to show
someone what 1/6 dollar is worth?
5.7 Fractions and Decimals: Part 3
The objectives are to:
 use a calculator to find decimal equivalents for
fractions.
Vocabulary
repeating decimal
Math Message
Write 7/16 as a decimal.
Converting a Fraction into a Decimal
How do you do it?
1. Fraction-Stick
2. Denominators of 10, 100, 1000
3. Dividing the numerator by the denominator
 When you see a fraction, think “division.”
 Think of the bar between the numerator and
denominator as thought it was the slash, /, for
division, and divide.
 For mixed numbers, students only need to divide
the fraction part. You can simply copy the whole
number part when you write the decimal name.
 Some fractions when divided repeat
continuously. These decimals are called repeating
decimals. Place a bar over the number or numbers
that repeat.
2-4-5-10 Frac-Tac-Toe
SRB 274 – 276 and MM 62, 63, and 479
5.8 Using a Calculator to Convert
Fractions to Percents
The objectives are to:
 use a calculator to convert fractions to decimals
and decimals to percents;
 discuss meanings and uses of percents.
Vocabulary
percent
Math Message
Using your calculator, find a way to rename 4/7 as a
percent. Do not use a percent key.
Meaning of Percent
The word percent comes from the Latin per centum:
per means “for” and centum means “one hundred.”
Allison scored 80% on a test.
 If the test had exactly 100 questions, Allison answered 80
of them correctly.
 Allison answered 80/100 questions correctly.
 If the test had more than 100 questions, Allison correctly
answered 80 out of every 100 questions.
 For every 100 questions, Allison answered 80 correctly.
How many questions did Allison answer correctly if:
there were 100 questions on the test?
there were 50 questions?
there were 40 questions?
there were 10 questions?
there were 20 questions?
Emily spent 18% of the money she earned babysitting last summer on school clothes.
 For every 100 dollars earned, Emily spent 18 dollars on
school clothes.
 If 100 baby-sitting dollars were spent, 18 of those dollars
were spent on school clothes.
 Emily spent $18 out of every $100 earned on school
clothes.
 Emily spent 18/100 of her money on school clothes.
How much would Emily have spent if:
she earned $200?
she earned $400?
she earned $50?
The Purpose of Percents
Percents are useful for making comparisons
between numbers when the whole is not the
same.
For example, 8 correct on a test could be worse than
4 correct on a different test, depending on how
many question were on each test.
 8 out of 20 , or 40 %, is worse than 4 out of 5, or
80%.
Percent makes comparisons easier when the
whoe or ONE differs.
Kris earned $167 setting up new computers for her
neighbors. She spent $43 on software.
Clay earned $219 teaching piano to children. He
spent $51 on sheet music.
Who spent the larger portion of her or his earnings?
Changing Fractions to Percents
Step One
Divide the numerator by the
denominator by the numerator.
Step Two
Round the decimal to the
hundredths place.
Step Three
Multiply the decimal by 100 (move
the decimal two places to the left).
5.9 Bar Graphs
The objective is to:
 construct and label bar graphs.
Vocabulary
bar graph
Math Message
Answer problem 1 on journal page 152.
Parts of Bar Graphs
A bar graph should have the following parts:
1. A title that describes what is being graphed.
2. A list of the groups or categories for which bars
are drawn.
3. A number line with a scale. The scale is used to
draw bars of lengths that show the amount of data
in each group or category. The scale is usually
labeled.