00T2 Task 1
Technology in Mathematics
A. Analyzing the Model Function
Calculation
12250 ( 102 ) −2419 ( 10 ) +011045829+1000 12247639
= =53483.13974
5 ( 10 ) −37 ( 10 ) +99 229
2
Graphing Utility
The approximate decimal value for the maximum number of bacteria is 366,829.768 at the time
of 3.724 days.
Exact Value of Maximum Number of Bacteria
(Wolfram Alpha, 2024)
, 00T2 Task 1
Exact Solution for Real-World or Mathematical Scenario
An exact value is best used when an exact amount is needed for calculations or data
summary. In the field of medicine, researchers and or pharmacist need to know exact dosages of
medication to ensure that the patient is receiving the proper amount of ingredients; this prevents
overdosing and adverse reactions due to not enough or too much of each ingredient. In the field
of algebra and geometry, specifically with linear equations, exact values are always used when
giving the rate of change, slope. This makes graphing these functions easier for students since
they can use the “rise over run” method to graph several points along the equation.
An approximate value can be used when an exact amount is not necessary to accurately
use data to make decisions and draw conclusions about the mathematical situation. In
economics, approximate values are often used over the more complex exact values in order to
assess trends in the data and risk analysis. Approximate numbers are easier to understand and
make quick decisions and predictions on where the economic status is depending on the data one
is using, like the stock market trends. In mathematics, an approximate value is often used when
finding the distance between two points whether you use the Pythagorean Theorem or the
distance formula. Students understand the measurements better when doing approximate values
over the exact values when learning to navigate new geometry concepts.
Advantages of Graphing Calculators in the Classroom
Students using graphing calculators or other mathematical technologies can deepen their
understanding of new material being taught in the classroom from a hands-on approach. One
advantage is being able to graph a function rapidly to see how that function behaves, limits of the
function, the relationship between the variables, and how placing intervals on the function effects
the functions slope, for instance. Students are able to see a variety of x and y values and see how
Technology in Mathematics
A. Analyzing the Model Function
Calculation
12250 ( 102 ) −2419 ( 10 ) +011045829+1000 12247639
= =53483.13974
5 ( 10 ) −37 ( 10 ) +99 229
2
Graphing Utility
The approximate decimal value for the maximum number of bacteria is 366,829.768 at the time
of 3.724 days.
Exact Value of Maximum Number of Bacteria
(Wolfram Alpha, 2024)
, 00T2 Task 1
Exact Solution for Real-World or Mathematical Scenario
An exact value is best used when an exact amount is needed for calculations or data
summary. In the field of medicine, researchers and or pharmacist need to know exact dosages of
medication to ensure that the patient is receiving the proper amount of ingredients; this prevents
overdosing and adverse reactions due to not enough or too much of each ingredient. In the field
of algebra and geometry, specifically with linear equations, exact values are always used when
giving the rate of change, slope. This makes graphing these functions easier for students since
they can use the “rise over run” method to graph several points along the equation.
An approximate value can be used when an exact amount is not necessary to accurately
use data to make decisions and draw conclusions about the mathematical situation. In
economics, approximate values are often used over the more complex exact values in order to
assess trends in the data and risk analysis. Approximate numbers are easier to understand and
make quick decisions and predictions on where the economic status is depending on the data one
is using, like the stock market trends. In mathematics, an approximate value is often used when
finding the distance between two points whether you use the Pythagorean Theorem or the
distance formula. Students understand the measurements better when doing approximate values
over the exact values when learning to navigate new geometry concepts.
Advantages of Graphing Calculators in the Classroom
Students using graphing calculators or other mathematical technologies can deepen their
understanding of new material being taught in the classroom from a hands-on approach. One
advantage is being able to graph a function rapidly to see how that function behaves, limits of the
function, the relationship between the variables, and how placing intervals on the function effects
the functions slope, for instance. Students are able to see a variety of x and y values and see how
