Day 1:
Objective: The student will convert fractions, decimals and percents using
concrete models.
TEK: 8.1A
Warmup: Write and solve problem below in journal.
A group of 5 students earned 12 points. How many points did each student earn?
Write your answer four different ways.
Mental math:
1) Start with 67
Add 30
Decrease by twice 40
Triple this number
Multiply this number by 100
Team Huddle:
Complete percent benchmarks activity. Use percent bars for halves, thirds,
fourths, fifths, sixths, eighths, ninths, and tenths. Label the fraction, decimal and
percent. Make a bar to show 120%.
Team Mastery:
Complete does one and one make two activity.
Reflect: Write in journal how to convert percents to decimals and fractions using a
model.
Day 2:
Objective: The student will convert fractions, decimals, and percents without
concrete models.
TEK: 8.1A
Warmup:
1) Give the percent and decimal for
5
8
2) Give the decimal and fraction for 60%.
3) Give the percent and fraction for 0.73.
4) Suppose you have a grid of 20 squares and 3 of the squares are shaded. What
decimal, percent, and fraction of the squares are shaded?
Mental Math:
1) Start with 9
Square this number
Take the difference of this number and 21
Quadruple this number
Multiply this number by
1
10
Teach/model:
Define rational number: Use number line to illustrate. Ask students what kind of
numbers are rational numbers.
Go over how to convert (without models) Record notes in journal.
5
Fraction to decimal: Convert to a decimal.
9
̅̅̅̅
Divide 9 into 5. 9 is the divisor and 5 is the dividend. The answer is 0.5
3
Fraction to percent: Convert to a percent.
5
Since percent means per 100, set up the proportion
3
5
=
𝑛
100
Since 5 x 20 = 100, 3 x 20 = 60. Thus, 60% is the answer.
Decimal to fraction: Convert 0.875 to a fraction.
Since 5 is in the thousandths place, the number said correctly using correct place
value is
875
1000
This fraction can be simplified (reduced) to
7
8
Decimal to percent: Convert 0.45 to a percent.
Multiply by 100 or move the decimal point two places to the right. Thus, the
answer is 45%
Percent to fraction: Convert 77% to a fraction.
Since percent means per 100, simply place the percent over 100. Thus, the
answer is
77
100
Percent to decimal: Convert 12.6% to a decimal.
Divide by 100 or move the decimal two places to the right. Thus, the answer is
0.126
Team Huddle
Complete relating rational numbers handout problems 1 - 5
Team Mastery
Pick your own rational number. It must be greater than 1. Express it as a fraction
with and without a model. Also express it as a decimal and percent. Record in
journal.
Reflection
Relating rational numbers problems 6 - 11
Homework: Additional practice for rational numbers handout
Day 3:
Objective: The student will compare and order rational numbers in various forms
by completing problems.
TEK: 8.1A
Warmup:
1) Suppose you have a grid of 15 squares and 4 of the squares are shaded. What
fraction, decimal, and percent of the squares are shaded?
1
2) Draw a circle with of it shaded. Find the decimal and percent that is shaded.
8
3) Draw a rectangular model showing 125%. Find the decimal and percent.
4) Give the percent and fraction for 0.416̅
Mental Math:
1) Start with 4
Cube this number
Take the square root of this number
Increase this number by 32
Multiply this number by 0.25 (Say 25 hundredths)
Team Huddle
Play rational number timer on the graphing calculator. Play the bronze, silver,
and gold version and keep track of total score.
Quick check
1) Write
7
11
as a decimal and percent.
2) Write 170% as a fraction and decimal.
Teach/model
Go over vocabulary: ascending and descending
Go over less than < and greater than >
5
Example, compare and 65% using appropriate symbols.
8
5
8
< 65%
Team Huddle
See Team Huddle on comparing
Team Mastery
See In Between Team Mastery
Reflect
Describe in your own words the process involved in finding the larger of two
rational numbers.
Homework: Holt worksheet Practice B
Day 4
Objective: Given 3 or more rational numbers, the student will list the numbers in
ascending or descending order.
TEK: 8.1A
Warmup:
Compare each. Write <, > or =.
1)
7
11
62%
2) -127%
-1
1
5
3
3) Give a percent in between -1 and -1.75
5
Mental math:
1) Start with 9
Multiply this number by 20
Double this number
Increase this number by 40
Take the square root of this number
Team Huddle:
Play war card game. Student draws three cards to obtain a mixed number. If - is
rolled, lower value wins. If + is rolled, higher value wins. Student must record
correct number sentence with appropriate symbol, decimal, and percent in
journal to obtain a point.
Quick Check
Compare each. Write <, > or =.
1)
2
11
19%
2) -112%
-1
1
10
Teach/Model
Go over how to put rational numbers in ascending and descending order.
1
2
5
11
For example, arrange 22%, 0.21, , and
in descending order.
First, one must put all numbers in the same form. That is, all percents, decimals,
or fractions. In this case, it might be easiest to change all of the numbers to
percents. We already have 22%. 0.21 can easily be changed to a percent by
moving the decimal point two places to the right making it 21%.
1
𝑛
5
100
As illustrated earlier, =
Similarly,
2
11
=
𝑛
100
1
. Multiply both 1 and 5 by 20 so = 20%.
5
. Using cross products, 11n = 200 and n = 200 ÷ 11 ≈ 18% (The
symbol ≈ means is approximately equal to)
1
Thus, the correct ascending order is 22%, 0.21, ,
2
5 11
If negative numbers exist, remember that the larger a negative number is, the
smaller it is. In other words, the closer a negative number is to zero, the larger it
is.
Team Huddle
Complete rational number application worksheet problems 1 - 4
Team Mastery
Complete rational number application worksheet problems 5 - 8
Homework
Complete rational number application worksheet problems 9 - 11
Day 5
Objective: The student will write numbers in scientific notation with and without
the calculator by completing problems.
TEK: 8.1D
Warmup:
1) Write a fraction decimal, and percent greater than
2) Write a fraction decimal, and percent less than -
7
8
2
3
Mental Math:
1) Start with the number of inches in a foot
Find 25% of this number
Cube this number
Decrease this number by 12
Find the product of this number and 1000
Quick check
Give two problems. One on putting 4 rational numbers in ascending order and another on putting 4
rational numbers in descending order.
Team Huddle
Play decimal defender on calculator to practice multiplying by powers of 10.
Teach/model
Put numbers in calculator using sci mode. Have students discover on own how to
write numbers in scientific notation.
Scientific notation is a shorthand method of writing very large or very small
numbers. For example the distance from the sun to the earth is 93,000,000 miles.
To write in scientific notation, place the decimal point between the first and
second significant digit and count how many decimal places it takes to reach the
end of the number. Since it takes seven decimal places to reach the end of the
number, 93,000,000 can be written in scientific notation as 9.3 x 107.
For numbers less than one, such as 0.000058, the decimal point is still placed
between the first and second significant digit. Notice that to get to the original
decimal point, one moves to the left. Thus, the exponent will be negative. Since
it takes five decimal places left to reach the original decimal, 0.000058 can be
written in scientific notation as 5.8 x 10-5.
To go from scientific notation to standard form, reverse the process.
See investigating scientific notation notes handout.
Team Huddle
Complete problems 1 and 2 of handout reflecting scientifically
Team Mastery
Problems 3 - 7 of handout reflecting scientifically
Quick check
1 problem from standard notation to scientific notation
1 problem from scientific notation to standard notation
Reflect
Write two sentences describing what kinds of numbers are best expressed in
scientific notation. Give an example.
Day 6
Objective: The student will demonstrate mastery of unit concepts by playing a
review game in class.
Mental Math:
1) Start with the number of feet in a yard
Cube this number
Increase this number by 28
Divide this number by 11
Multiply this number by 10,000
Day 7:
Objective: The student will demonstrate mastery of unit concepts on an
assessment.
Warmup:
1) Write 9,560,000 in scientific notation.
2) Write 2.63 x 10-5 in standard form.
3
2
5
3
3) Give a fraction between and
1
2
4
5
4) Arrange the rational numbers -3 , 22, 27%, -3 , and -3.20 in ascending order.
Take assessment on unit 1.