Real World Performance Tasks Real World Real Life, Real Data, Real-Time - These activities put students into real life scenarios where they use real-time, real data to solve problems. In the Tech Tastic series, we use data from online sources and update our data regularly. Note - some data has been rounded or simplified in order to adjust the math to the appropriate level. Engaging Relevant – Students today love Minecraft, making these activities very relevant to their everyday lives. To pique their interest further, try asking the Your Challenge question to the class first. Authentic Tasks - Through these activity sheets students learn how the video game industry works and are prompted to form opinions and ideas about how they would solve real life problems. A glossary is included to help them with the unfamiliar terms used. Modular Principal Activity - The activity sheets always start with repeated practice of a core skill matched to a common core standard, as set out in the Teacher Guide. This principal activity (or Level 1 as it is labeled to students) can be used in isolation. This should generally take around 10-15 minutes. Step Up Activity - For the Level 2 questions, students are required to integrate a different skill or set of skills with increasing complexity. The additional skills used to answer these questions are set out in the Teacher Guide. This should generally take around 20-30 minutes. Challenge - This is designed to require critical thinking skills and stretch students to reason with math and data to come to conclusions. They are matched up with one of the Common Core Standards for Mathematical Practice. These activities work well with students in pairs or small groups where they can discuss the math. Cross-Curricular Activity - Every activity sheet also includes a finale that you can use to extend the math lesson into another subject (usually ELA). These could be assigned in a second lesson or for homework. Customizable All of the activity sheets are provided in Word so that they can be differentiated to add, remove, or edit questions or even add space for students to show their work. Suggested customizations for each activity sheet are given in the Teacher Guide. Community We would love for you and your students to tell us about your experience. Join the conversation on Twitter starting your tweet with @nextlesson and using #TechTastic. Updated November 2015 © NextLesson 2015 Equations & Inequalities Teacher Guide Sound Bite for Students: “In the real world, we use linear equations and inequalities to design and program video games.” Skills Practiced: Principal Activity (Level 1): - Write and solve linear equations in one variable - Write and solve linear inequalities in one variable Step Up Activity (Level 2): - Explain each step in solving a linear equation or inequality - Solve linear equations and inequalities with literal coefficients Common Core Math Standards Addressed: Principal Create equations and inequalities in one variable and use them to solve HSA.CED.A.1 Activity: problems. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that HSA.REI.A.1 Step Up the original equation has a solution. Construct a viable argument to justify a Activity: solution method. Solve linear equations and inequalities in one variable, including equations HSA.REI.B.3 with coefficients represented by letters. Differentiation Tips: You can edit any of the activity sheets to: - Alter the tasks given (e.g., add scenarios to include ingredients other than wood planks) - Cue for differentiation purposes (e.g., remove the given equation in L1 or add given equations/inequalities as necessary) - Allow students to use manipulates to represent the equations/inequalities and calculators to solve Due to school paper restriction, the spacing provided is only for answers. However, you could modify the spacing to add room for work if desired. Students should be encouraged to show their work where possible. Updates: At NextLesson we strive to engage students with data that is real and real-time. This lesson uses data as of December 2015. Please come back for the most recent updates. Updated November 2015 © NextLesson 2015 Name: ________________________________ You are a video game programmer. You are creating and testing codes for new mods that involve multiplayer game play for Minecraft. Your Challenge: How do you use linear equations and inequalities to program a video game? LEVEL 1 When creating and testing codes, you need to write and solve linear equations and inequalities that represent different gaming possibilities. To begin programming this new feature, you want to focus solely on the players’ use of wood planks and sticks. Below is a list of essential resources and the crafting recipe for each one. Essentials for First-Night Survival (Note: 2 wood planks = 4 sticks) Resource Recipe Bed 3 wood planks and 3 wool Chest 9 wood planks Crafting Table 4 wood planks Wooden Door 6 wood planks Fence 6 sticks Fence Gate 4 sticks and 2 wood planks Wooden Axe 3 wood planks and 2 sticks Shovel 2 sticks and 1 wood plank Sword 1 stick and 2 wood planks Torch 1 stick and 1 charcoal (yields 4 torches) You start with Creative Mode, during which multiple players can work together to build their world. They can share ingredients to create the essential resources for surviving the first night. They may also choose to craft multiples of certain resources on the list. 1 Updated November 2015 © NextLesson 2015 1. Write and solve an equation for each game play scenario. (The first equation has been created for you.) a. Player A and Player B have gathered the same amount of wood planks. Player A has chosen to build the bed and the chest and has placed the remaining planks in his chest. Player B has chosen to build a crafting table and has twice as many remaining planks as Player A. Solve the equation to find out how many remaining wood planks each player has. 3 + 9 + x = 4 + 2x b. Two players are in play. Together they have built a crafting table and a bed for each person. They have also built one door to share. Player A gathered 1.5 times as many wood planks as Player B. How many wood planks has each player contributed? c. Four players worked together to gather all 38 wood planks needed to create one of each resource. Player A gathered 10 wood planks. Player B and Player C gathered 3 the same amount of planks. Player D gathered /4 of the combined total of Player B and Player C. How many planks did each player gather? d. The status bar shows three players’ contributions to the total amount of wood planks gathered thus far. How many wood planks has Player A gathered? How many has Player C gathered? How many wood planks were gathered in total? Player A Player B Player C 15% 8 wood planks 45% 2. Create a multiplayer scenario that might happen in Minecraft during Creative Mode, write the linear equation that represents the scenario, and solve the equation. Look at the recipes and the scenarios given in Question 1 to help you. 2 Updated November 2015 © NextLesson 2015 Next, you focus on Survival Mode, during which multiple players race each other to craft essential resources for surviving the first night. The players have 11½ minutes until nighttime hits. 3. Write and solve an inequality for each gaming possibility. Make sure to show your work. a. Player A starts with 2 wood planks and gathers 4 wood planks each subsequent minute. Player B starts with 4 wood planks and gathers 2 wood planks each subsequent minute. After how many minutes will Player A have gathered at least the same amount as Player B? b. Player A has gathered half the amount of wood planks as Player B in the first minute of daylight. Player B has gathered exactly enough wood planks to build a crafting table and a door. In the subsequent minutes of daylight, Player B gathers 1 wood plank per minute. Player A gathers twice as many wood planks per minute as Player B does. After how many minutes will the amount of wood planks gathered by Player A exceed the amount gathered by Player B? c. In the first two minutes of the game, Player A has gathered enough wood planks to build a chest. Meanwhile, Player B has gathered enough wood planks to build a crafting table and a bed. Both players continue to gather at a rate of 5 wood planks per minute. Write and solve an inequality to represent how many minutes it will take Player B to possess a greater amount of wood planks. d. Players need at least 38 wood planks to craft all of the essential resources. Player A gathers 5 wood planks per minute and has already built a bed. Player B gathers 3 wood planks per minute and has already built a crafting table. Write and solve a compound inequality to determine whether both players will be able to survive the first night. 4. Create a multiplayer scenario that might happen in Minecraft during Survival Mode and write the linear inequality that represents the scenario. Look at the recipes and the scenarios given in Question 3 to help you. Then, solve your inequality. 3 Updated November 2015 © NextLesson 2015 LEVEL 2 You have also been given codes with literal coefficients that another programmer has created. It is your responsibility to test each code and to check for errors. 5. Explain each step in the given solution.