standard_description: Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
problem_activity: Activity
In this practice activity, students prepare for the associated Algebra 1 lesson by practicing applying some of the properties they will need to use.
Student Facing
Evaluate:
\(\dfrac{3^5}{3^4}\)
\(\dfrac{3^1}{3^0}\)
\(\dfrac{3^{\text-1}}{3^{\text-2}}\)
\(\dfrac{3^{100}}{3^{99}}\)
\(\dfrac{3^{x+1}}{3^x}\)
Solve for
\(m\)
:
\(\dfrac{2^m}{2^7}=2\)
\(\dfrac{2^{100}}{2^m}=2\)
\(\dfrac{2^m}{2^x}=2\)
Write an equivalent expression using as few terms as possible:
\(3(x+1) + 4 - (3x + 4)\)
\(2(x+1) + 5 - (2x + 5)\)
\(2(x+2) + 5 - (2(x+1) + 5)\)
\(\text-5(x+1) + 3 - (\text-5x + 3)\)
\(\dfrac{5^{x+1}}{5^x}\)
\(\dfrac{7^{x+4}}{7^x}\)
Student Response
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Activity Synthesis
Either display the correct solutions or invite students check with another student to see if their answers are the same.  If there are any differences between solutions, invite students to ask questions or discuss whole group.


aligns: no