Download Chapter 4 Converting Numbers

Chapter 4
Fractions,
Decimals, and
Percent.
Day…..
1.
Comparing and Ordering Rational
Numbers
2. Number lines
3.
Number Lines Continued…..
4. Percent of a Whole
5. Percent of a Whole Continued….
Day 1
Bell Work
Order from least to greatest.
1.
0.43, 37%,
2.
1
,
2
3.
4.
9
,
7
0.82, 66%,
73%,
3
,
8
4
,
5
0.723
12.5%, 0.08
0.19, 0.191, 911%, 9.1%,
1
9
,
9
1
0.15, 1.7%, 0.152, 18%, 1.9%,
1
5
Vocabulary
• Proportion -
an equation that’s shows two ratios are equivalent.
• Fraction - a number that represents part of a whole or part of a set.
• Decimal- a representation of a real number using the base ten and
decimal notation, such as 201.4, 3.89, or 0.0006.
• Percent - a ratio that compares a number to 100.
• Rational Number - a number that can be written as a fraction
• Number Line - a line on which numbers are marked at intervals,
used to illustrate simple numerical operations.
• Inequality - An algebraic relation showing that a quantity is greater than or
less than another quantity
I Can….
I can compare and order
rational numbers
Compare and Order
Rational Numbers
Essential Understanding:
It is easy to compare and order rational numbers
(i.e. fractions, decimals, and percent).
• Begin by expressing all the given numbers in the same
form. Decimal form is the quickest, but you can use
fraction or percent, as well.
Example:
• Next, use your knowledge of place value or common
denominators to compare or list the numbers in the order
they are asked (typically from least to greatest).
Example:
Practice
Please take out your maker boards
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 2
Bell Work
You will be given 10 minutes to
complete the provided Quick Quiz
Homework Check
Vocabulary
• Proportion -
an equation that’s shows two ratios are equivalent.
• Fraction - a number that represents part of a whole or part of a set.
• Decimal- a representation of a real number using the base ten and
decimal notation, such as 201.4, 3.89, or 0.0006.
• Percent - a ratio that compares a number to 100.
• Rational Number - a number that can be written as a fraction
• Number Line - a line on which numbers are marked at intervals,
used to illustrate simple numerical operations.
• Inequality - An algebraic relation showing that a quantity is greater than or
less than another quantity
I Can….
Create and identify
intervals on a number line.
Number Lines
Essential Understanding:
• Number lines can be drawn horizontally to display numbers in order from
least to greatest (left to right).
Ex.
• Number lines can also be drawn vertically to display numbers from greatest
to least (top to bottom).
Ex.
• Number lines can be drawn to represent any number set (beginning and
ending with any number).
Ex.
• Number lines drawn to illustrate both positive and negative numbers, are
created by placing a zero in the middle and continuing to number in each
direction from there.
Ex.
• Each tick mark represents a fraction of the number line. You can count these
marks to determine the interval.
Ex.
Group Work
1. Complete you exit ticket.
2. Pack up everything except a pencil
and calculator
3. Await further instructions
You have 3 minutes….
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 3
Bell Work
You will be given 10 minutes to
complete the provided Quick Quiz
Homework Check
Vocabulary
• Proportion -
an equation that’s shows two ratios are equivalent.
• Fraction - a number that represents part of a whole or part of a set.
• Decimal- a representation of a real number using the base ten and
decimal notation, such as 201.4, 3.89, or 0.0006.
• Percent - a ratio that compares a number to 100.
• Rational Number - a number that can be written as a fraction
• Number Line - a line on which numbers are marked at intervals,
used to illustrate simple numerical operations.
• Inequality - An algebraic relation showing that a quantity is greater than or
less than another quantity
I Can….
Locate and place
positive rational
numbers on a number
line.
Rational Numbers on a Number Line
Essential Understanding:
• To determine the value of a plotted point, you first identify the value of each
tick mark. This is done by counting the tick marks between two whole
numbers. Begin counting with the first tick mark after a whole number and
continue counting until you reach the next whole number (include the
second whole number in your counting).
• Example
• The number of tick marks counted represent the fraction the number line
has been divided into.
Example:
• You can use this knowledge to label each tick mark as a fraction, decimal, or
percent and locate or identify given points.
Example:
Day 4
Bell Work
1. Convert each number to all 3 forms (fractions, decimals,
and percent).
2. Then, create a number line to illustrate their positions
and relationships to one another.
3. Create 2 inequalities using the number line you have
created.
Numbers: 25%,
𝟏
,
𝟑
0.6, 98%, 0.5,
𝟑
𝟒
Homework Check
Vocabulary
• Proportion -
an equation that’s shows two ratios are equivalent.
• Fraction - a number that represents part of a whole or part of a set.
• Decimal- a representation of a real number using the base ten and
decimal notation, such as 201.4, 3.89, or 0.0006.
• Percent - a ratio that compares a number to 100.
• Rational Number - a number that can be written as a fraction
• Number Line - a line on which numbers are marked at intervals,
used to illustrate simple numerical operations.
• Inequality - An algebraic relation showing that a quantity is greater than or
less than another quantity
I Can….
I can find the percent
of a number.
Finding the Percent of a Number
Essential Understanding:
To find the percent of a number, write the percent
as a decimal, then multiply the decimal and given number.
Remember “of” is sometimes a clue word for multiplication.
Examples:
1.
What is 40% of 60?
2.
Find 25% of 120.
3.
Determine 33% of $690.
Your Turn….
• Clear your desk of everything but a pencil and
a calculator.
Wrap it Up
• Review
• Questions
• Exit Tickets
Day 5
Bell Work
Complete the provided page.
Homework Check
Vocabulary
• Proportion -
an equation that’s shows two ratios are equivalent.
• Fraction - a number that represents part of a whole or part of a set.
• Decimal- a representation of a real number using the base ten and
decimal notation, such as 201.4, 3.89, or 0.0006.
• Percent - a ratio that compares a number to 100.
• Rational Number - a number that can be written as a fraction
• Number Line - a line on which numbers are marked at intervals,
used to illustrate simple numerical operations.
• Inequality - An algebraic relation showing that a quantity is greater than or
less than another quantity
I Can….
solve problems involving
finding the whole given
a part and the percent
Finding the whole given the part
and percent.
Essential Understanding:
To find the whole, when given the part and percent, you
simply change the percent to a decimal and divide the
"part" by the percent.
Examples:
10 is 20% of what number?
300 is 75% of what number?
60 is 80% of what number?
Practice
Please take out your maker boards
Wrap it Up
• Review
• Questions
• Exit Tickets
Station Rotations
1. Write your exit ticket.
2. Pack up everything but a pencil.
3. You will have 15 minutes to complete each
rotation
1st Rotation
2nd Rotation
3rd Rotation
4th Rotation