chapter 4 fractions, decimals, and percent.. 1.comparing and ordering rational numberscomparing and...
TRANSCRIPT
1. Comparing and Ordering
Rational Numbers
2. Number lines
3. Number Lines Continued….
.
4. Percent of a Whole
5. Percent of a Whole Contin
ued….
Day…..
Bell Work
Order from least to greatest.
1. 0.43, 37%,
2. 0.82, 66%, 12.5%, 0.08
3. 0.19, 0.191, 911%, 9.1%,
4. 0.15, 1.7%, 0.152, 18%, 1.9%,
Vocabulary•
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an equation that’s shows two ratios are equivalent.
a number that represents part of a whole or part of a set.
Percent -
Proportion -
Rational Number -
Fraction -
Decimal-
Number Line -
a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.
a ratio that compares a number to 100.
a number that can be written as a fraction
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
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:
Vocabulary•
•
•
•
•
•
•
an equation that’s shows two ratios are equivalent.
a number that represents part of a whole or part of a set.
Percent -
Proportion -
Rational Number -
Fraction -
Decimal-
Number Line -
a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.
a ratio that compares a number to 100.
a number that can be written as a fraction
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
Number LinesEssential 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 calculator3. Await further instructions
You have 3 minutes….
Vocabulary•
•
•
•
•
•
•
an equation that’s shows two ratios are equivalent.
a number that represents part of a whole or part of a set.
Percent -
Proportion -
Rational Number -
Fraction -
Decimal-
Number Line -
a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.
a ratio that compares a number to 100.
a number that can be written as a fraction
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
Rational Numbers on a Number LineEssential 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:
Bell Work1. 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%, 0.6, 98%, 0.5,
Vocabulary•
•
•
•
•
•
•
an equation that’s shows two ratios are equivalent.
a number that represents part of a whole or part of a set.
Percent -
Proportion -
Rational Number -
Fraction -
Decimal-
Number Line -
a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.
a ratio that compares a number to 100.
a number that can be written as a fraction
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
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.
Vocabulary•
•
•
•
•
•
•
an equation that’s shows two ratios are equivalent.
a number that represents part of a whole or part of a set.
Percent -
Proportion -
Rational Number -
Fraction -
Decimal-
Number Line -
a representation of a real number using the base ten and decimal notation, such as 201.4, 3.89, or 0.0006.
a ratio that compares a number to 100.
a number that can be written as a fraction
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
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?
Station Rotations
1. Write your exit ticket.
2. Pack up everything but a pencil.
3. You will have 15 minutes to complete each rotation