Chapter 1 Practice Exam Name: A bag of marbles contains only the colors blue, yellow and green. a. The probability of getting a yellow marble or P(yellow) is 2/3. What is P(blue or green)? b. P(green) is 1/4. What is P(blue)? c. There are 24 marbles in the bag. How many are blue? Big Idea: Ratios & Proportions Selena and Jacob bought a six-foot sandwich at the local deli and they plan on eating it all. They start eating at opposite ends of the sandwich, and after one hour, Selena has eaten of the sandwich, while Jacob has eaten. a) At this point, what fraction of the sandwich has been eaten? b) (extra challenge) At this point, how many feet of sandwich are left? How many inches? c) (extra challenge) If they continue to eat at the same rate, how much of the sandwich will they have eaten at the end of the next hour? d) If they continue to eat at the same rate, about when do you expect they would finish the sandwich? *Yes, you need to do the extra challenge. The note is there to let you know that this is a question that is expected to push your thinking and/or requires you to synthesize knowledge from several Big Ideas.
Big Idea: Simplifying Expressions (Expressions & Equations) & Rewriting Numbers (Number Sense) Calculate. a. b. c. d. = Big Idea: Simplify Expression (Expressions & Equations) A triangle has an area of 15 square inches. a. If the base is 5 inches, what is the height? b. Draw the triangle and label its base and height. Mack knows that for dinner tonight he will either have beef or chicken, and he also knows he will have either green beans or corn along with it. He calculates the probabilities of eating each, which are shown in the table below. Looking at this chart, Mack says to himself Looks like I ll be eating chicken with corn since the probability of both of those is 1.25! Is Mack correct in his reasoning? Explain your answer completely, justifying your statements.
Big Idea: Rewriting Numbers (Ratios & Proportions) At right is a sample of the portions web. Each part below represents one part of the web. For each one, give the other three parts to complete the web. a. 65% b.! " fraction words or pictures c. 0.06 decimal percent Representations of a Portion Mathematical Practice: Logic & Reasoning/ Understand & Persevere Challenge Task In a game of chance, Scott has a choice. He can either roll a normal die and win if the number is greater than four, or spin the spinner at right and get a 3, 4, or 5. He thinks he has a better chance with the spinner because he has three numbers that will win (3, 4, and 5) while he only has two numbers that will win with the die (5 and 6). Is Scott correct? What is the probability of winning with the die? 7 6 8 5 1 4 2 3 What is the probability of winning with the spinner?
CPM- Chapter 1- Practice Exam Reflection and Moving Forward plan (Student initials when complete): Go to Google Classroom (filter: Solutions) and check your work (different color). Big Idea Probability & Statistics Skill Level RED (don t get it) YELLOW (sort of get it and made mistakes) GREEN (get it, but made small mistakes) PURPLE (totally get it and no mistakes-- ready to take it to the next level) Plan for practice (prior to Day 4 and/or challenging myself) Rewriting Numbers (Ratios & Proportions) Simplifying Expressions (Expressions & Equations) & Rewriting Numbers (Number Sense) Challenge Task Mathematical Practice: Logic & Reasoning/ Understand & Persevere & Week 4 Day 4 (list of practice games for fractions) & Week 3 & Week 4 (Additional Challenge Tasks) Student Initials: Make an entry in your planer setting aside time to follow through on your plan for practice, prior to the exam on Day 4. Student Initials: Photo this entire document into Seesaw (folder Assessments) so that you can use it remember what you were thinking and study again if you want. Parent Initials: Bring this document home and show your parents. Once you have a parent signature, photo it into Google Classroom. (Google Classroom: Where you turn things in that require a signature.)
Chapter 1 Name: Date: 3 The probability of landing on red on a certain spinner is, and the probability of landing on either red or 8 13 green is. What is the probability of landing on just green? Why? 24 Big Idea: Ratios & Proportions Demonstrate two different ways to divide this rectangle into six equal parts. A study team was discussing equivalent fractions. Andrea said, You can create equivalent fractions by adding equal amounts to the numerator and denominator; Brett said, You can create equivalent fractions by subtracting equal amounts to the numerator and denominator; Carl said, You can create equivalent fractions by multiplying the numerator and denominator by the same number; and finally Davena said You can create equivalent fractions by multiplying the numerator and denominator by the same number. Are any of the team members correct for all equivalent fractions? List who is correct and give an example of two equivalent fractions created using the technique they suggest. Davis will be making cornbread and pumpkin pie. The recipe for cornbread calls for cups of flour while the recipe for the pumpkin pie calls for Show your thinking. cups of flour. How much flour will he need to make both recipes?
Big Idea: Simplifying Expressions (Expressions & Equations) & Rewriting Numbers (Number Sense) Calculate a. b. c. d. a. b. c. ******************************************************************************** Big Idea: Rewriting Numbers (Ratios & Proportions) At right is a sample of the portions web. Each part below represents one part of the web. For each one, give the other three parts to complete the web. a. 35% b. # $ c. 0.07 decimal fraction words or pictures percent Representations of a Portion Big Idea: Simplify Expression (Expressions & Equations) Find the perimeter and area of the figure.
Find the perimeter of the figure. Extra challenge, find the area. In the parallelogram at right, a. Identify the base and the height. A 3 B b. What is the area? 3 c. Draw a rectangle with the same area as the parallelogram. D C How do you know it has the same area? d. Draw a triangle with the same area as the parallelogram. How do you know it has the same area? Can you think of a different one? Come up with at least one other triangle with the same area. What is the area and perimeter of a rectangle with a width of 7 meters and a length of twice that amount?
Mathematical Practice: Logic & Reasoning/ Understand & Persevere Challenge Task If you sat and watched a traffic light for a day, you would see that many traffic lights are timed to switch from green to yellow to red at certain intervals, and the lights follow this cycle all day long. One particular light stays green for 55 seconds, is yellow for 5 seconds and then is red for 30 seconds. What is the probability of having to stop at this traffic light (you must stop on both red and yellow)? Explain your reasoning. Do you think it matters that some people speed up when they see a yellow light? Would that affect the probability? Explain. More Practice (Different Big Idea) Anna, Brenda, Chas, and Don are always arguing over who will paint the rectangular fence surrounding the yard. Last time they painted the fence, Don painted half the fence while Anna painted a quarter of it. That left 18 feet of fence for Brenda and Chas to fight over who would finish the painting. The time before that, Chas painted one-third of the fence while Brenda painted 12.5% of the fence and Anna painted 50% of the fence. That left just three feet for Don to paint. a. How long is the fence that Anna, Brenda, Chas and Don keep fighting about? Explain how you know. b. Explain an equitable solution for painting this fence. Be clear and complete. c. Come up with a Plan B just in case they don t like your suggestion in part (b).
[ a: 72 feet; b: They should just each paint a quarter of it, or just 18 feet; c: Answers will vary, just trying to push kids to think a little more. Reward and share nice and different solutions. Most common might be that they can rotate who paints the whole fence each time. ]