Math

Week of May 4

Academic learning at home resources have been created to provide opportunities for students to engage in meaningful learning experience during the school closure. Below you will find a list of activities that your child can complete both independently and with your support.

Learning Logs are to be completed each day when work is done. These logs will be turned in at the end of the week to your teacher. Your teacher will be in contact with you this week. If you have any questions, please contact your teacher.

Algebra I

Growth and Decay

Sports radio stations numbered 220 in 1996. The number of sports radio stations has since increased by approximately 14.3% per year.
- Write an equation for the number of sports radio stations for t years after 1996.
- If the trend continues, predict the number of sports radio stations in 2015.

Determine the amount of an investment if $500 is invested at an interest rate of 4.25% compounded quarterly for 12 years.

The Greens bought a condominium for $110,000 in 2010. If its value appreciates at an average rate of 6% per year, what will the value be in 2015?

A new car costs $18,000. It is expected to depreciate at an average rate of 12% per year. Find the value of the car in 8 years.

Algebra II

Identify the asymptotes, domain, and range of the function.
Graph the function. State the domain and range.
Kate enters a 120-mile bicycle race. Her usual rate is 10 miles per hour, but Kate plans to average x miles per hour faster than that. Write and graph an equation to represent the time it would take Kate to complete the race as a function of x (Kate’s speed beyond 10 miles per hour). If she intends to finish the race in 5 hours instead of 12 hours at her usual rate, how much faster should she travel?

Question 1

Question 2

Algebraic Reasoning

You may use Desmos to graph. You are solving for the ordered pair that is a solution to both equations.

Geometry

Perimeter and Area of Two-Dimensional Figures

Given the parallelogram to the right, find the perimeter, and area,
Given the Rhombus, calculate the perimeter and area.
Find the area of the regular polygon. Round to the nearest tenth.
Find the area of the composite figure. Round to the nearest tenth if necessary.

Question 1

Question 2

Question 3

Question 4

Math Models

Trigonometric Ratios

In a certain right triangle, sin A=2425.
- Determine possible lengths of the three sides of a right triangle. Hint: Use the Pythagorean theorem, c2=a2+b2, to determine the length of any unknown side.
- Determine cos A.
- Determine tan A.

Solve the following equations. Round your answer to the nearest tenth.
- sin 49° =x12
- tan 84° =x9

sin 22° =23x

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