Smarter Balanced Math Grade 5. Robot Maker Task 1

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1 Smarter Balanced Math Grade 4 Robot Maker Task 1 You work for a company that makes robots. Your boss has asked you to design a new robot. The robot will contain a head, a body, 2 arms, and 2 legs. The first step is to draw what the front of your robot will look like. Use the practice grid paper provided to draw the front of your robot. Make sure to follow all of the guidelines below. Guidelines: 1. The front of the body must be a rectangle with an area that is greater than 64 square centimeters but less than 140 square centimeters. 2. The front of the head must be a rectangle with a perimeter of 18 centimeters. 3. The front of each leg must be a quadrilateral that is not a rectangle. 4. The front of each arm must be a rectangle divided into equal parts with 3/4 of the parts shaded. 5. Each eye must be shaped like a hexagon divided into equal parts with 1/3 of the parts shaded. The drawing must contain labels with any numbers and words that help your boss understand how you met each of the five guidelines. When you are sure your drawing is complete, copy your drawing to the answer sheet provided. Smarter Balanced Math Grade 5 School Festival You serve on a committee that is in charge of planning a school festival. The following tasks need to be completed by committee members as part of the planning for the school festival. Determine the budget for the festival. Choose the food and drinks for the festival. Determine amounts of supplies for making a dessert. Make a schedule of the different activities. Make some decisions on the games and prizes used during the festival. Your first task is to determine how much money to spend on food and drinks, prizes, and activities.

2 This graph shows how last year s budget of $800 was spent. This year s budget has been increased to $1600. The fraction of the money used for each spending category should be the same as the fraction of the money used for each category last year. Write a summary of the changes to the budget. The summary must include a bar graph showing the dollar amounts that will be spent in each category (be sure to include a title and labels) a description of the steps used to find each dollar amount shown in the bar graph Food and Drinks Your next task is to make decisions about the food and drinks that will be available at the festival. You need to determine the amount of food, drinks, plates, cups, and utensils that will be available for the people who attend the festival. You must also decide which types of food and drinks you will provide. There are 75 students who will attend the festival. Each student will bring 1 guest to the festival. A total of 50 teacher and community members will also attend the festival. The table that follows shows the amounts charged for different foods and drinks by two different restaurants.

3 Guidelines: You must choose 1 restaurant to provide the food and drinks for the festival. You must also choose 1 meal type. You may choose 1 or 2 drinks. You must make sure you have enough money in your budget for the choices you make. The principal of the school needs to approve all committee decisions. Write a note to the principal that identifies the restaurant you have chosen and clearly explains why the restaurant is the better value. Your note should include the total number of people attending the festival the calculated price for using that restaurant and how that price was calculated how you determined that the restaurant you chose was the better value Smarter Balanced Math Grade 7 Carl and Beneta are playing a game using this spinner.

4 Carl will win the game on his next spin if the arrow lands on a section labeled 6, 7, or 8. Carl claims it is likely, but not certain, that he will win the game on his next spin. Explain why Carl s claim is not correct. Beneta will win the game on her next spin if the result of the spin satisfies event X. Beneta claims it is likely, but not certain, that she will win the game on her next spin. Describe an event X for which Beneta s claim is correct. Smarter Balanced Math High School Mr. Miller starts working for a technology company this year. His salary the first year is $40,000. According to the company s employee handbook, each following year Mr. Miller works at the company, he is eligible for a raise equal to 2 5% of his previous year s salary. Mr. Miller calculates the range of his raise on his first year s salary. He adds that amount as his raise for each following year. Mr. Miller thinks that: in his second year working at the company, he would be earning a salary between $40,800 and $42,000, and in his third year, he would be earning a salary between $41,600 and $44,000. Part A Based on this reasoning, what salary range would Mr. Miller expect to earn in his tenth year at the company? Mr. Miller s reasoning is incorrect. Show with diagrams, equations, expressions, or words why his reasoning is incorrect.

5 Create a table of values to compare the expected salary increases for an employee with a starting salary of $100,000 based on Mr. Miller s incorrect reasoning and the more reasonable expected salary increases. List these ranges in separate columns of the table up to the employee s sixth year at this company.