IM 8.8.3 Lesson: Rational and Irrational Numbers
Find a positive solution to each equation:
Draw 3 squares of different sizes with vertices aligned to the vertices of the grid. Label the area. Label the side length.
Write an equation that shows the relationship between the side length and the area.
Are any of these numbers a solution to the equation[math]x^2=2[/math]? Explain your reasoning.[br][br][list][*][math]1[/math][/*][*][math]\frac{1}{2}[/math][/*][*][math]\frac{3}{2}[/math][/*][*][math]\frac{7}{5}[/math][/*][/list]
A rational number is a fraction or its opposite (or any number equivalent to a fraction or its opposite).
Find some more rational numbers that are close to [math]\sqrt{2}[/math].
Can you find a rational number that is exactly [math]\sqrt{2}[/math]?[br][br]
[size=150]If you have an older calculator evaluate the expression [math](\frac{577}{408})^2[/math] and it will tell you that the answer is 2, which might lead you to think that [math]\sqrt{2}=\frac{577}{408}[/math].[/size][br][br]Explain why you might be suspicious of the calculator’s result.
Find an explanation for why [math]408^2\cdot2[/math] could not possibly equal [math]577^2[/math]. How does this show that [math](\frac{577}{408})^2[/math] could not equal 2?
Repeat these questions for [math](\frac{1414213562375}{10000000000000})^2\ne2[/math]an equation that even many modern calculators and computers will get wrong.
IM 8.8.3 Practice: Rational and Irrational Numbers
[size=150]Select each number in this list that is [i]rational.[/i][/size]
[size=150]Select each number in this list that is [i]irrational.[/i][/size]
[size=150]Which value is an exact solution of the equation [math]m^2=14[/math]?[/size]
[size=150]A square has vertices [math](0,0)[/math], [math](5,2)[/math], [math](3,7)[/math], an [math](\text{-}2,5)[/math] Which of these statements is true?[/size]
Rewrite each expression in an equivalent form that uses a single exponent.
The graph represents the area of arctic sea ice in square kilometers as a function of the day of the year in 2016.
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[/img][br][br]Give an approximate interval of days when the area of arctic sea ice was decreasing.
On which days was the area of arctic sea ice 12 million square kilometers?
The high school is hosting an event for seniors but will also allow some juniors to attend.
[size=150]The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. [br][/size][br]How many juniors will be allowed to attend? If you get stuck, try writing two equations that each represent the number of juniors and seniors at the event.