unit 5: lesson 1 reasoning: is the following statement true or false? if false, explain why. then...

Unit 5: Lesson 1Reasoning:

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.

Unit 5: Lesson 1Build 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

Unit 5: Lesson 2Mental 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 _______ , _______

Unit 5: Lesson 2Compare Fractions

Targets:I can compare unit

fractions and fractions with like denominators.

I can express and refine comparative concepts.

I can apply greater than (>) and less than (<)

notation.

Vocabulary:

numerator

denominator

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.

Unit 5: Lesson 3Subtract 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

Unit 5: Lesson 4Multistep 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.

Unit 5: Lesson 4Fractional 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

Unit 5: Lesson 4

Reasoning:

6.2-3.37=2.83

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)

Unit 5: Lesson 5Relate 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.

Unit 5: Lesson 6Strategy 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.

Unit 5: Lesson 6Fractions 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

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

Geraniums

Roses

Impatiens

Unit 5: Lesson 7Add 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.

Unit 5: Lesson 8What 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.

Unit 5: Lesson 8Subtract 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

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?

Unit 5: Lesson 9Comparison 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

Unit 5: Lesson 10

Geometry:The dimensions of Ms.

Fu’s 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?

Unit 5: Lesson 10Mixed 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

Unit 5: Lesson 11Mental 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 _______ , _______

Unit 5: Lesson 11Discover Equivalent Fractions

Targets: I can generate and

explain simple equivalent fractions.

I understand and apply the terms

equivalent fraction and simplify

Vocabulary:

equivalent fractionsmultipliersimplify

unsimplify

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?

Unit 5: Lesson 12Equivalent Fractions and

Multipliers

Targets: I understand the role

of the multiplier in equivalent fractions.

I simplify and unsimplify common

fractions.

Vocabulary:

multiplication table

multipliersimplify

unsimplify

Unit 5: Lesson 13Geometry:

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?

Unit 5: Lesson 13Solve Equivalence Problems

Targets:

I can generate and simplify

fractions in real-world contexts.

Vocabulary:

equivalentsimplify

unsimplify

Unit 5: Lesson 14

Who’s 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?

Unit 5: Lesson 14Add 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)

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.

Unit 5: Lesson 15Solve 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.

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?

Unit 5: Lesson 16Practice 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.

Unit 5: Lesson 17Strategy 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?

Unit 5: Lesson 17Probability and Equivalent

FractionsTargets:

I apply the language of probability.

I can solve probability

situations by finding fractional equivalents.

Vocabulary:

probabilitylikely

unlikelycertain

impossiblefrequency table

line plot

Unit 5: Lesson 18Combinations:

Ms. Lorisol’s store sells 6 types of paper and 4

types of envelopes. Mr. Demetri’s store sells 5

types of paper and several types of

envelopes. Mr. Demetri’s store has more

combinations of paper and envelopes. How

many types of envelopes does his store sell?

Explain.

Unit 5: Lesson 18Fraction and Decimal

Equivalencies

Targets: I recognize

equivalent fractions and decimals.

I identify patterns of fractions and

decimals.

Unit 5: Lesson 19Estimate 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?

Unit 5: Lesson 19Compare and Order Fractions and

Decimals

Target: I use patterns and

strategies to compare and order

fractions and decimals.

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

Unit 5: Lesson 20Different Ways to Estimate

Target: I use a variety of

methods to estimate sums and

differences of fractions, mixed numbers, and

decimals.

*teacher note: this lesson marked optional

Vocabulary:

benchmark

Unit 5: Lesson 21Use 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