Unit 5: Lesson 1

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Unit 5 Lesson 1
Reasoning Is the following statement true or
false? If false, explain why. Then reword the
statement to make it true. The circumference of
a circle is a similar measure to the area of a
square.

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Unit 5 Lesson 1 Build Unit Fractions
Targets I can build other fractions from unit
fractions. I can add like fractions. I can
express information from pictures, stories, and
data formats as fractions.
Vocabulary unit fraction non-unit fraction
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Unit 5 Lesson 2
Mental Math Find the number that is 0.1 greater
and the number that is 0.01 less than each of the
given numbers. 1) 470.26 _______ , _______ 2)
3,189.5 _______ , _______ 3) 25,317 _______ ,
_______ 4) 153.906 _______ , _______
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Unit 5 Lesson 2 Compare Fractions
Targets I can compare unit fractions and
fractions with like denominators. I can express
and refine comparative concepts. I can apply
greater than (gt) and less than (lt) notation.
Vocabulary numerator denominator
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Unit 5 Lesson 3
A bar graph shows 9 red paints, 12 green paints,
some blue paints, for a total of 30 paints. Brad
displayed the same data on a circle graph.
Explain how he made the circle graph and how to
check if it is correct.

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Unit 5 Lesson 3 Subtract Fractions
Targets I can subtract like fractions and mixed
numbers. I understand simple algebraic notation
for fractions. I can solve problems with
algebraic notation.
Vocabulary numerator denominator
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Unit 5 Lesson 4

Multistep Problem Apples cost 0.25 for
one-fifth pound. Bananas cost 0.45 for a half
pound. Kim bought three-fifths pound of apples
and 1 pound of bananas. State an amount of money
used to pay, and find the amount of change Kim
received.
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Unit 5 Lesson 4 Fractional Addends of One
Targets I practice adding and subtracting
fractions, with like denominators. I can build
fractions from unit fractions, and identify how
many more it will take to make one whole.
Vocabulary addend sum
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Unit 5 Lesson 4

Reasoning 6.2-3.372.83 Write another
subtraction problem that has a decimal difference
that is less than the given difference and one
with a decimal difference that is greater. (Make
sure you label your answers)
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Unit 5 Lesson 5 Relate Fractions and Wholes
Targets I understand that the size of a
fraction depends on the size of the whole. I
can solve and explain open-ended word problems
that relate fractions and wholes.
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Unit 5 Lesson 6

Strategy Problem Valerie made 1 lb of pizza
dough. She cut the whole into 12 pieces and then
placed it into packages. She sold one package and
had 5/6 of the whole left. She sold another
package and had 2/3 of the whole left. How much
does the dough in each package weigh? How many
packages were made? Explain.
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Unit 5 Lesson 6 Fractions Greater Than One
Targets I can represent improper fractions and
mixed numbers. I can convert between improper
fractions and mixed numbers. I can apply the
terms improper fraction and mixed number
Vocabulary improper fraction mixed number
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Unit 5 Lesson 7
This circle graph shows how Gary planted
geraniums, impatiens, and roses in his garden. He
planted a total of 30 flowers. Find the amount of
each type of flower

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Unit 5 Lesson 7 Add Fractions Greater Than One
Targets I can add mixed numbers, applying
quick methods when appropriate. I can read and
represent mixed numbers on calibrated lines and
rulers.
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Unit 5 Lesson 8

What Went Wrong Carmen had 19.50 to buy
cheese. The cheese costs 3.25 per pound. He
picked out two packages of cheese that weighed 2
5/8 lb and 3 7/8 lb. He did not have enough
money to pay! Explain the error Carmen made. Find
the correct total weight.
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Unit 5 Lesson 8 Subtract Mixed Numbers
Targets I can subtract mixed numbers with like
denominators. I can ungroup the first mixed
number in a subtraction problem when
necessary. I can explain student-generated
methods of subtraction to the class.
Vocabulary mixed number ungroup add on
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Unit 5 Lesson 9

Sung Hoon made two decimal numbers using the
digits 5, 6, and 7. He found 7.425 to be their
sum. What is the difference of the two decimal
numbers?
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Unit 5 Lesson 9 Comparison Situations
Targets I can compare the sizes of two like
fractions or mixed numbers, and use subtraction
to determine the exact difference. I can
construct a chart of comparative measurements.
Vocabulary mixed number subtract add on
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Unit 5 Lesson 10
Geometry The dimensions of Ms. Fus living room
are 9 ft 5 in by 10 ft 8 in. Ms. Fu received a
price quote for installing new carpet that said
the area of her living room is 102 square feet.
Is the quoted area reasonable? How can she use
estimation to check?

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Unit 5 Lesson 10 Mixed Practice With Like
Fractions
Targets I can consolidate understanding of
addition and subtraction with like fractions. I
can express the main concept of adding and
subtracting like fractions.
Vocabulary numerator denominator
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Unit 5 Lesson 11
Mental Math Find the number that is 0.01
greater and the number that is 0.1 less than each
of the given numbers.
1) 65.997 _______ , _______ 2) 13,850.09
_______ , _______ 3) 4,201 _______ ,
_______ 4) 738.1 _______ , _______
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Unit 5 Lesson 11 Discover Equivalent Fractions
Targets I can generate and explain simple
equivalent fractions. I understand and apply
the terms equivalent fraction and simplify
Vocabulary equivalent fractions multiplier simpl
ify unsimplify
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Unit 5 Lesson 12
Strategy Problem Walter saw a display of towers
made from boxes. The first tower used 1 box the
second tower used 8 boxes, the third used 27
boxes the fourth used 64 boxes, and so on. If
this pattern continued, how many boxes were in
the one hundredth tower?

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Unit 5 Lesson 12 Equivalent Fractions and
Multipliers
Targets I understand the role of the multiplier
in equivalent fractions. I simplify and
unsimplify common fractions.
Vocabulary multiplication table multiplier simpl
ify unsimplify
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Unit 5 Lesson 13

Geometry A rectangle has a perimeter of 36 cm
and an area of 80 cm². A right, scalene triangle
has the same perimeter. Its base is 3 cm longer
than its height. The diagonal side is 3 cm longer
then the base. The base is 12 cm long. What is
the area of this triangle?
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Unit 5 Lesson 13 Solve Equivalence Problems
Targets I can generate and simplify fractions
in real-world contexts.
Vocabulary equivalent simplify unsimplify
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Unit 5 Lesson 14

Whos Right? Shayne read 15 out of 50 pages in
her book and Kenton read 27 out of 90 pages.
Shayne said she had read more of her book than
Kenton. Kenton said they actually read the same
fraction of their books. Who is correct?
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Unit 5 Lesson 14 Add and Subtract Unlike
Fractions
Targets I can add and subtract fractions with
unlike denominators. I can apply the terms
common denominator and least common denominator.

Vocabulary common denominator least common
denominator (LCD)
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Unit 5 Lesson 15

Is it possible to subtract two fractions and have
a difference greater than 1? Give an example and
counterexample to support your answer.
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Unit 5 Lesson 15 Solve With Unlike Mixed Numbers
Targets I can consolidate understanding of
equivalent fractions and operations with unlike
fractions. I can express the main concept of
equivalent fractions in writing, and refine it
through class discussion.
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Unit 5 Lesson 16

Strategy Problem Rodney cut a long piece of wood
into fourths. Then he cut each fourth in half. He
gave away 6 of the pieces. The length of the two
remaining pieces is 8 inches in all. How long was
the original board?
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Unit 5 Lesson 16 Practice With Unlike Mixed
Numbers
Targets I can consolidate understanding of
equivalent fractions and operations with unlike
fractions. I can express the main concept of
renaming and ungrouping fractions.
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Unit 5 Lesson 17

Strategy Problem For her party, Tia bought 20
sets of prizes. Each set had the same number of
prizes. She put ¼ of all the prizes in the
piñata, ½ of all the prizes in the gift bags, and
the remaining 10 prizes became door prizes. How
many prizes were in each set?
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Unit 5 Lesson 17 Probability and Equivalent
Fractions
Targets I apply the language of probability. I
can solve probability situations by finding
fractional equivalents.
Vocabulary probability likely unlikely certain i
mpossible frequency table line plot
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Unit 5 Lesson 18
Combinations Ms. Lorisols store sells 6 types
of paper and 4 types of envelopes. Mr. Demetris
store sells 5 types of paper and several types of
envelopes. Mr. Demetris store has more
combinations of paper and envelopes. How many
types of envelopes does his store sell? Explain.

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Unit 5 Lesson 18 Fraction and Decimal
Equivalencies
Targets I recognize equivalent fractions and
decimals. I identify patterns of fractions and
decimals.
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Unit 5 Lesson 19
Estimate or Exact Answer? Alma put wallpaper on a
wall with dimensions 6 ft 9 in by 8 ft 4 in. She
needed only one roll of pre-cut wallpaper to
cover it. How many square feet does the roll of
wallpaper need to cover? Explain if you found an
estimate or an exact answer and why?

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Unit 5 Lesson 19 Compare and Order Fractions and
Decimals
Target I use patterns and strategies to compare
and order fractions and decimals.
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Unit 5 Lesson 20

Write two fractions, using each of the numbers
2, 3, 4 and 7 only once. The sum of these
fractions should simplify to 1 1/28
teacher note this lesson marked optional
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Unit 5 Lesson 20 Different Ways to Estimate
Target I use a variety of methods to estimate
sums and differences of fractions, mixed numbers,
and decimals.
Vocabulary benchmark
teacher note this lesson marked optional
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Unit 5 Lesson 21 Use Mathematical Processes
Targets I can solve a variety of problems, using
mathematical concepts and skills. I use the
mathematical processes of problem solving,
connections, reasoning and proof, communication,
and representation