{ "created_at": "2025-11-13T14:57:44.170316+00:00", "name": "PEMDAS Power-Up!", "messages": [], "materials": [ { "id": "pemdas-power-up-lesson-plan", "data": { "why": "Understanding the order of operations is crucial for solving mathematical problems accurately, not just in school but also in real-life situations like budgeting or following recipes. It helps us speak the same mathematical language!", "prep": { "name": "Teacher Preparation", "time": "5 minutes", "markdown": "- Review the [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) content.
- Print copies of the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet (one per student) and have the [PEMDAS Quick Challenge Answer Key](#pemdas-quick-challenge-answer-key) ready.
- Ensure whiteboard or projector is set up." }, "time": "15 minutes", "approach": "Through a quick review and a fun, interactive challenge.", "audience": "6th Grade Students", "materials": [ "Whiteboard or Projector", "[PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck)", "[PEMDAS Quick Challenge](#pemdas-quick-challenge)", "[PEMDAS Quick Challenge Answer Key](#pemdas-quick-challenge-answer-key)" ], "objective": "Students will be able to identify and apply the correct order of operations (PEMDAS/GEMDAS) to solve simple numerical expressions.", "instructions": [ { "name": "Warm-Up: What's the Order?", "time": "3 minutes", "markdown": "- Display a simple expression like '2 + 3 * 4' on the board.
- Ask students how they would solve it. Listen for different approaches.
- Introduce the concept of needing a specific order to get a consistent answer. (Refer to [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) Slide 1-2)" }, { "name": "Introducing PEMDAS", "time": "5 minutes", "markdown": "- Use the [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) to explain PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
- Emphasize that Multiplication and Division are done from left to right, and the same for Addition and Subtraction.
- Go through a couple of examples together as a class. (Refer to [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) Slide 3-5)" }, { "name": "Quick Challenge Activity", "time": "5 minutes", "markdown": "- Distribute the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet.
- Instruct students to solve the expressions independently using PEMDAS.
- Circulate to provide support and answer questions." }, { "name": "Review & Cool Down", "time": "2 minutes", "markdown": "- Briefly review the answers to the [PEMDAS Quick Challenge](#pemdas-quick-challenge) using the [PEMDAS Quick Challenge Answer Key](#pemdas-quick-challenge-answer-key).
- Ask students: \"Why is PEMDAS important?\"
- Conclude by reinforcing the idea that PEMDAS helps everyone solve math problems the same way." } ] }, "name": "PEMDAS Power-Up!", "type": "lesson-plan" }, { "id": "pemdas-power-up-slide-deck", "data": { "slides": [ { "body": "How would you solve this problem? \n\nWhat answer do you get?", "title": "2 + 3 * 4 = ?", "video": "", "layout": "title_body", "teacher_notes": "Greet students and start with a quick engagement. Ask students how they would solve the problem on the slide. Listen for varied answers. This sets the stage for why an order is needed." }, { "body": "Imagine everyone solved problems differently!\n\nWe need a secret code to make sure we all get the *same* answer every time. This code is called the **Order of Operations**!", "title": "Math's Secret Code!", "video": "", "layout": "title_body", "teacher_notes": "Explain that different orders lead to different answers, and in math, we need one correct answer. Introduce the concept of a " }, { "body": "Our secret code is **PEMDAS**!\n\n**P**arentheses ( ) [ ]\n**E**xponents (like 2²)\n**M**ultiplication * and **D**ivision / (from left to right)\n**A**ddition + and **S**ubtraction - (from left to right)", "title": "Meet PEMDAS!", "video": "", "layout": "title_body", "teacher_notes": "Introduce PEMDAS. Go through each letter and what it stands for. Emphasize the grouping of M/D and A/S." }, { "body": "Let's solve: **7 - 3 + 5 * 2**\n\n1. No Parentheses or Exponents\n2. **M**ultiplication: 5 * 2 = 10\n3. **A**ddition/Subtraction (left to right): 7 - 3 = 4\n4. **A**ddition/Subtraction (left to right): 4 + 10 = 14\n\nSo, 7 - 3 + 5 * 2 = 14", "title": "PEMDAS in Action! (Example 1)", "video": "", "layout": "title_body", "teacher_notes": "Walk through the example step-by-step using PEMDAS. Highlight each step as you do it." }, { "body": "Let's solve: **(9 - 4) * 3 + 6**\n\n1. **P**arentheses: (9 - 4) = 5\n2. No Exponents\n3. **M**ultiplication: 5 * 3 = 15\n4. **A**ddition: 15 + 6 = 21\n\nSo, (9 - 4) * 3 + 6 = 21", "title": "PEMDAS in Action! (Example 2)", "video": "", "layout": "title_body", "teacher_notes": "Another example, perhaps one with parentheses, to reinforce the concept. Solve it with student input." }, { "body": "Now it's time to put your PEMDAS skills to the test!\n\nWork on the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet independently.", "title": "Your Turn: Quick Challenge!", "video": "", "layout": "title_body", "teacher_notes": "Transition to the quick challenge activity. Encourage students to use their knowledge of PEMDAS." }, { "body": "Great job on the challenge!\n\nWhy do you think it's important to use PEMDAS?\n\nKeep practicing, and you'll be an Order of Operations master!", "title": "PEMDAS Power-Up: You Got This!", "video": "", "layout": "title_body", "teacher_notes": "Use this slide to wrap up the lesson, reviewing answers and reinforcing the importance of PEMDAS. Ask the concluding question." } ] }, "name": "PEMDAS Power-Up! Slide Deck", "type": "slide-deck" }, { "id": "pemdas-quick-challenge", "data": { "markdown": "# PEMDAS Quick Challenge\n\n**Name:** _____________________________\n\n**Date:** _____________________________\n\n---\n\nSolve each expression using the correct order of operations (PEMDAS). Show your work!\n\n1. `8 + 4 * 3`\n
\n
\n
\n2. `15 - 12 / 4`\n
\n
\n
\n3. `(7 - 2) * 5`\n
\n
\n
\n4. `20 / (2 + 3)`\n
\n
\n
\n5. `6 * 2 + 10 / 5`\n
\n
\n
\n6. `30 / 5 - 2 * 2`\n
\n
\n
" }, "name": "PEMDAS Quick Challenge", "type": "worksheet" }, { "id": "pemdas-quick-challenge-answer-key", "data": { "markdown": "# PEMDAS Quick Challenge Answer Key\n\nHere are the solutions to the PEMDAS Quick Challenge. Remember to follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).\n\n---\n\n1. `8 + 4 * 3`\n * **Step 1: Multiplication**\n `4 * 3 = 12`\n * **Step 2: Addition**\n `8 + 12 = 20`\n * **Answer:** `20`\n\n2. `15 - 12 / 4`\n * **Step 1: Division**\n `12 / 4 = 3`\n * **Step 2: Subtraction**\n `15 - 3 = 12`\n * **Answer:** `12`\n\n3. `(7 - 2) * 5`\n * **Step 1: Parentheses**\n `7 - 2 = 5`\n * **Step 2: Multiplication**\n `5 * 5 = 25`\n * **Answer:** `25`\n\n4. `20 / (2 + 3)`\n * **Step 1: Parentheses**\n `2 + 3 = 5`\n * **Step 2: Division**\n `20 / 5 = 4`\n * **Answer:** `4`\n\n5. `6 * 2 + 10 / 5`\n * **Step 1: Multiplication**\n `6 * 2 = 12`\n * **Step 2: Division**\n `10 / 5 = 2`\n * **Step 3: Addition**\n `12 + 2 = 14`\n * **Answer:** `14`\n\n6. `30 / 5 - 2 * 2`\n * **Step 1: Division**\n `30 / 5 = 6`\n * **Step 2: Multiplication**\n `2 * 2 = 4`\n * **Step 3: Subtraction**\n `6 - 4 = 2`\n * **Answer:** `2`" }, "name": "PEMDAS Quick Challenge Answer Key", "type": "answer-key" } ], "description": "This lesson introduces 6th-grade students to the order of operations (PEMDAS) through a fun, engaging activity. 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The lesson's name and description have been defined, and I've set the MTSS tier.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-setupCreation", "input": { "mtss": "1", "name": "PEMDAS Power-Up!", "colors": [ "#E0BBE4", "#957DAD", "#D291BC" ], "public": true, "description": "This lesson introduces 6th-grade students to the order of operations (PEMDAS) through a fun, engaging activity. 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My next move is to populate it with content. I'm starting with the lesson plan, which will guide the creation. Following that, I'll develop the slide deck and finalize the activity/worksheet with the answer key.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-addMaterial", "input": { "material": { "id": "pemdas-power-up-lesson-plan", "data": { "why": "Understanding the order of operations is crucial for solving mathematical problems accurately, not just in school but also in real-life situations like budgeting or following recipes. It helps us speak the same mathematical language!", "prep": { "name": "Teacher Preparation", "time": "5 minutes", "markdown": "- Review the [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) content.
- Print copies of the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet (one per student) and have the [PEMDAS Quick Challenge Answer Key](#pemdas-quick-challenge-answer-key) ready.
- Ensure whiteboard or projector is set up." }, "time": "15 minutes", "approach": "Through a quick review and a fun, interactive challenge.", "audience": "6th Grade Students", "materials": [ "Whiteboard or Projector", "[PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck)", "[PEMDAS Quick Challenge](#pemdas-quick-challenge)", "[PEMDAS Quick Challenge Answer Key](#pemdas-quick-challenge-answer-key)" ], "objective": "Students will be able to identify and apply the correct order of operations (PEMDAS/GEMDAS) to solve simple numerical expressions.", "instructions": [ { "name": "Warm-Up: What's the Order?", "time": "3 minutes", "markdown": "- Display a simple expression like '2 + 3 * 4' on the board.
- Ask students how they would solve it. Listen for different approaches.
- Introduce the concept of needing a specific order to get a consistent answer. (Refer to [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) Slide 1-2)" }, { "name": "Introducing PEMDAS", "time": "5 minutes", "markdown": "- Use the [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) to explain PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
- Emphasize that Multiplication and Division are done from left to right, and the same for Addition and Subtraction.
- Go through a couple of examples together as a class. (Refer to [PEMDAS Power-Up! Slide Deck](#pemdas-power-up-slide-deck) Slide 3-5)" }, { "name": "Quick Challenge Activity", "time": "5 minutes", "markdown": "- Distribute the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet.
- Instruct students to solve the expressions independently using PEMDAS.
- Circulate to provide support and answer questions." }, { "name": "Review & Cool Down", "time": "2 minutes", "markdown": "- Briefly review the answers to the [PEMDAS Quick Challenge](#pemdas-quick-challenge) using the [PEMDAS Quick Challenge Answer Key](#pemdas-quick-challenge-answer-key).
- Ask students: \"Why is PEMDAS important?\"
- Conclude by reinforcing the idea that PEMDAS helps everyone solve math problems the same way." } ] }, "name": "PEMDAS Power-Up!", "type": "lesson-plan" }, "position": 0 }, "state": "output-available", "output": { "added": true, "message": "Added material \"PEMDAS Power-Up!\" of type \"lesson-plan\" with id \"pemdas-power-up-lesson-plan\" to position 0" }, "toolCallId": "peCz3sgn1d3WAYIa", "callProviderMetadata": { "google": { "thoughtSignature": "CiIB0e2Kb0AiYePskk1f7sT21yjjRphkVwQw+sRAjXNjKQmiCnYB0e2Kb8gQD9U8ltZI4VEu9ej5Q1/qphwXTLPA7SfHwIiyCnX7w3V/ZTLvk1jy1PXoRM+matP87+pdT8asbXf0BuaFqd2Ipoutt+ut035qbmtUSV0XH/FHy/OUyKy89Y8O5s1Az1LnPOudZOolDVTvW6DZ45sdCoQBAdHtim+LVjcHZ28W6RhjlAaj5EKziAUCWOxeOORMn+JSP6MlGfshuVTXZKJbDatTD6AZ2Kcfhi4/3YS++90NvqOhyvhbBHVuJJ1HRtjjcIJU/eiusXWI+BlbwSzAt9VP4c5W6lPQcNJwqkq+zwo9TEky8sLGUfRwnvYFznAXckDCfk0l" } } }, { "type": "step-start" }, { "text": "**Drafting Supporting Slides**\n\nI've incorporated the lesson plan and am now crafting the supporting slide deck. My focus is ensuring perfect alignment between the slides' content and the lesson plan's objectives and instructions. This stage requires meticulous attention to detail.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-addMaterial", "input": { "material": { "id": "pemdas-power-up-slide-deck", "data": { "slides": [ { "body": "How would you solve this problem? \n\nWhat answer do you get?", "title": "2 + 3 * 4 = ?", "video": "", "layout": "title_body", "teacher_notes": "Greet students and start with a quick engagement. Ask students how they would solve the problem on the slide. Listen for varied answers. This sets the stage for why an order is needed." }, { "body": "Imagine everyone solved problems differently!\n\nWe need a secret code to make sure we all get the *same* answer every time. This code is called the **Order of Operations**!", "title": "Math's Secret Code!", "video": "", "layout": "title_body", "teacher_notes": "Explain that different orders lead to different answers, and in math, we need one correct answer. Introduce the concept of a " }, { "body": "Our secret code is **PEMDAS**!\n\n**P**arentheses ( ) [ ]\n**E**xponents (like 2²)\n**M**ultiplication * and **D**ivision / (from left to right)\n**A**ddition + and **S**ubtraction - (from left to right)", "title": "Meet PEMDAS!", "video": "", "layout": "title_body", "teacher_notes": "Introduce PEMDAS. Go through each letter and what it stands for. Emphasize the grouping of M/D and A/S." }, { "body": "Let's solve: **2 + 3 * 4**\n\n1. No Parentheses or Exponents\n2. **M**ultiplication: 3 * 4 = 12\n3. **A**ddition: 2 + 12 = 14\n\nSo, 2 + 3 * 4 = 14", "title": "PEMDAS in Action! (Example 1)", "video": "", "layout": "title_body", "teacher_notes": "Walk through the example step-by-step using PEMDAS. Highlight each step as you do it." }, { "body": "Let's solve: **(5 + 3) * 2 - 1**\n\n1. **P**arentheses: (5 + 3) = 8\n2. No Exponents\n3. **M**ultiplication: 8 * 2 = 16\n4. **S**ubtraction: 16 - 1 = 15\n\nSo, (5 + 3) * 2 - 1 = 15", "title": "PEMDAS in Action! (Example 2)", "video": "", "layout": "title_body", "teacher_notes": "Another example, perhaps one with parentheses, to reinforce the concept. Solve it with student input." }, { "body": "Now it's time to put your PEMDAS skills to the test!\n\nWork on the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet independently.", "title": "Your Turn: Quick Challenge!", "video": "", "layout": "title_body", "teacher_notes": "Transition to the quick challenge activity. Encourage students to use their knowledge of PEMDAS." }, { "body": "Great job on the challenge!\n\nWhy do you think it's important to use PEMDAS?\n\nKeep practicing, and you'll be an Order of Operations master!", "title": "PEMDAS Power-Up: You Got This!", "video": "", "layout": "title_body", "teacher_notes": "Use this slide to wrap up the lesson, reviewing answers and reinforcing the importance of PEMDAS. Ask the concluding question." } ] }, "name": "PEMDAS Power-Up! Slide Deck", "type": "slide-deck" }, "position": 1 }, "state": "output-available", "output": { "added": true, "message": "Added material \"PEMDAS Power-Up! 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It's a key part of the lesson, and I'm aiming to design it to be both engaging and effective in reinforcing the order of operations.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-addMaterial", "input": { "material": { "id": "pemdas-quick-challenge", "data": { "markdown": "# PEMDAS Quick Challenge\n\n**Name:** _____________________________\n\n**Date:** _____________________________\n\n--- \n\nSolve each expression using the correct order of operations (PEMDAS). Show your work!\n\n1. `6 + 2 * 5`\n

\n\n2. `10 - 8 / 2`\n

\n\n3. `(4 + 3) * 2`\n

\n\n4. `12 / (6 - 3)`\n

\n\n5. `5 * 3 - 2 + 7`\n

\n\n6. `24 / 4 - 2 * 3`\n

" }, "name": "PEMDAS Quick Challenge", "type": "worksheet" }, "position": 2 }, "state": "output-available", "output": { "added": true, "message": "Added material \"PEMDAS Quick Challenge\" of type \"worksheet\" with id \"pemdas-quick-challenge\" to position 2" }, "toolCallId": "G6Le6BmtvDDS7fob", "callProviderMetadata": { "google": { "thoughtSignature": "CiQB0e2KbzGS/2WrqGDdxcLSN0ehLIRtbxlCso41z7ugwzm3kBgKYQHR7YpvnCIosCfw4TfQimp1G3n4XvaUrJiIT0ojSuvF2w8qns63BLtJ1Jc5tbjhTguFT+8uVSmjMQWfs5kAu8j0f704dHTZkqLoU6Nue2J+2IKoLBhygEXZ6EurDsi/+xQKYwHR7Ypvc91cYNmIjNQHlliESHTbPnnZwgM0AQHl+A/TQub+dYZKMOeqZqaebpJvYtSL8WWl4ibLAoMJ7fTXqLsl9tnGWMtMQEoC7F1PyNqj/MLD2hURr/uKH4AMe6YbCnbHtA==" } } }, { "type": "step-start" }, { "text": "**Creating the Answer Key**\n\nI've successfully added the worksheet. My next task is generating the \"PEMDAS Quick Challenge Answer Key\" to complement the existing worksheet, just as outlined in the lesson plan.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-addMaterial", "input": { "material": { "id": "pemdas-quick-challenge-answer-key", "data": { "markdown": "# PEMDAS Quick Challenge Answer Key\n\nHere are the solutions to the PEMDAS Quick Challenge. Remember to follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).\n\n---\n\n1. `6 + 2 * 5`\n * **Step 1: Multiplication**\n `2 * 5 = 10`\n * **Step 2: Addition**\n `6 + 10 = 16`\n * **Answer:** `16`\n\n2. `10 - 8 / 2`\n * **Step 1: Division**\n `8 / 2 = 4`\n * **Step 2: Subtraction**\n `10 - 4 = 6`\n * **Answer:** `6`\n\n3. `(4 + 3) * 2`\n * **Step 1: Parentheses**\n `4 + 3 = 7`\n * **Step 2: Multiplication**\n `7 * 2 = 14`\n * **Answer:** `14`\n\n4. `12 / (6 - 3)`\n * **Step 1: Parentheses**\n `6 - 3 = 3`\n * **Step 2: Division**\n `12 / 3 = 4`\n * **Answer:** `4`\n\n5. `5 * 3 - 2 + 7`\n * **Step 1: Multiplication**\n `5 * 3 = 15`\n * **Step 2: Subtraction**\n `15 - 2 = 13`\n * **Step 3: Addition**\n `13 + 7 = 20`\n * **Answer:** `20`\n\n6. `24 / 4 - 2 * 3`\n * **Step 1: Division**\n `24 / 4 = 6`\n * **Step 2: Multiplication**\n `2 * 3 = 6`\n * **Step 3: Subtraction**\n `6 - 6 = 0`\n * **Answer:** `0`\n" }, "name": "PEMDAS Quick Challenge Answer Key", "type": "answer-key" }, "position": 3 }, "state": "output-available", "output": { "added": true, "message": "Added material \"PEMDAS Quick Challenge Answer Key\" of type \"answer-key\" with id \"pemdas-quick-challenge-answer-key\" to position 3" }, "toolCallId": "57Z1GOW38Zi4X6lN", "callProviderMetadata": { "google": { "thoughtSignature": "CiQB0e2KbwEMN+ZEhnZo564opU4PrBOPgPw3pblPMtPdtfLmIfoKbQHR7Ypv9xM8OXK803qS0Uowjif7RyWeQkxWyGC21I0GJuDaZ0wR6U9+qcoien4YabIEXffpuJD8qbtpz/SFUgnkAviytShkWWxzVlUAlWTHtN27BcQU4kI1JexZC7J2vIusynT1nNTvpGm+REgKagHR7Ypvdbu4zNh31F9iWCR34/+Cw734obs3qqpYffCxhtY7rwInkb3NIU/u9cSfeqwv1aYPKbYoBDPyn5o/vr8lAwKCAH8MHinsCxaSVjNIw5Wg38e+fzs/6A/RUH2yFItaaxIR3GUN154=" } } }, { "type": "step-start" }, { "text": "**Assessing Lesson Completeness**\n\nI've assembled a lesson plan, slide deck, worksheet, and answer key. These elements comprehensively address a 15-minute order of operations lesson designed for sixth-graders, fulfilling all established criteria. I'm now seeking feedback on the package.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-sendMessage", "input": { "message": "I've created a complete lesson for PEMDAS Power-Up! It includes a lesson plan, slide deck, a quick challenge worksheet, and an answer key, all designed for a 15-minute 6th-grade class. **What do you think?**", "suggestions": [ "Add an extension activity", "Adjust the time", "Change the examples" ] }, "state": "output-error", "errorText": "Cannot read properties of null (reading 'slug')", "toolCallId": "k5FLnpr8kNAQDdi8", "callProviderMetadata": { "google": { "thoughtSignature": "CiIB0e2Kb/U8L7dFdh2ImCalyb7GsDJ0QfLTjSjikWvtfT8mCmoB0e2Kb67nUrd4fb1EPgS/XJWgZHEshaUz4zZWlsy4QNa8TFbxIO0RlQJI1vifryuGfYJZPex1+sAwYWU3I7dAXk81l8dqnjXZWkKUV2x9UJGMav6daTAAIfuMRHELpDA4g9KMIHKKw5nCCt4BAdHtim/3RRwwduK5cLvFBTS+4e4NaZxTbCnNXa6AIhgMxwY3IH1DyMLJrGJ/JxXSW9cmXTC188FbYZ5XaeL9km+Q0xNOgz2BG2XuVG3Tp3o8u/0cOUeRyrthmzQP4HQ90zj65ABuTxlRseQgAIa1nqtRC6+DjB3DoyS2C2CTOROn5Amt6ehnWwP0RssArXbyRYa4CuqcSc38GA86QZX2SwxtiLpUWi7lcc65kxnh6ZxDhlEpxQO2Lxm7YVPIW6ozVOteT5qLjwVaj/1y5/2RX5EENEAD7a7Yu5nJAEnX" } } } ] }, { "id": "747eFmi2Y4Wrijqm", "role": "assistant", "parts": [ { "type": "step-start" }, { "text": "**Identify & Update Examples**\n\nI've pinpointed the slide deck and worksheet as the key areas with examples. Currently, I'm focusing on revising the slide deck examples to align with the new goals.\n\n\n**Revising Example Content**\n\nI've revised the slide deck examples, specifically on slides 4 and 5, aligning them with the new learning objectives. Following that, I've updated all six problems in the \"PEMDAS Quick Challenge\" worksheet. I'm now focusing on revising the answer key to reflect these changes, ensuring complete consistency between the problems and their solutions.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-editMaterial", "input": { "material": { "id": "pemdas-power-up-slide-deck", "data": { "slides": [ { "body": "How would you solve this problem? \n\nWhat answer do you get?", "title": "2 + 3 * 4 = ?", "video": "", "layout": "title_body", "teacher_notes": "Greet students and start with a quick engagement. Ask students how they would solve the problem on the slide. Listen for varied answers. This sets the stage for why an order is needed." }, { "body": "Imagine everyone solved problems differently!\n\nWe need a secret code to make sure we all get the *same* answer every time. This code is called the **Order of Operations**!", "title": "Math's Secret Code!", "video": "", "layout": "title_body", "teacher_notes": "Explain that different orders lead to different answers, and in math, we need one correct answer. Introduce the concept of a " }, { "body": "Our secret code is **PEMDAS**!\n\n**P**arentheses ( ) [ ]\n**E**xponents (like 2²)\n**M**ultiplication * and **D**ivision / (from left to right)\n**A**ddition + and **S**ubtraction - (from left to right)", "title": "Meet PEMDAS!", "video": "", "layout": "title_body", "teacher_notes": "Introduce PEMDAS. Go through each letter and what it stands for. Emphasize the grouping of M/D and A/S." }, { "body": "Let's solve: **7 - 3 + 5 * 2**\n\n1. No Parentheses or Exponents\n2. **M**ultiplication: 5 * 2 = 10\n3. **A**ddition/Subtraction (left to right): 7 - 3 = 4\n4. **A**ddition/Subtraction (left to right): 4 + 10 = 14\n\nSo, 7 - 3 + 5 * 2 = 14", "title": "PEMDAS in Action! (Example 1)", "video": "", "layout": "title_body", "teacher_notes": "Walk through the example step-by-step using PEMDAS. Highlight each step as you do it." }, { "body": "Let's solve: **(9 - 4) * 3 + 6**\n\n1. **P**arentheses: (9 - 4) = 5\n2. No Exponents\n3. **M**ultiplication: 5 * 3 = 15\n4. **A**ddition: 15 + 6 = 21\n\nSo, (9 - 4) * 3 + 6 = 21", "title": "PEMDAS in Action! (Example 2)", "video": "", "layout": "title_body", "teacher_notes": "Another example, perhaps one with parentheses, to reinforce the concept. Solve it with student input." }, { "body": "Now it's time to put your PEMDAS skills to the test!\n\nWork on the [PEMDAS Quick Challenge](#pemdas-quick-challenge) worksheet independently.", "title": "Your Turn: Quick Challenge!", "video": "", "layout": "title_body", "teacher_notes": "Transition to the quick challenge activity. Encourage students to use their knowledge of PEMDAS." }, { "body": "Great job on the challenge!\n\nWhy do you think it's important to use PEMDAS?\n\nKeep practicing, and you'll be an Order of Operations master!", "title": "PEMDAS Power-Up: You Got This!", "video": "", "layout": "title_body", "teacher_notes": "Use this slide to wrap up the lesson, reviewing answers and reinforcing the importance of PEMDAS. Ask the concluding question." } ] }, "name": "PEMDAS Power-Up! Slide Deck", "type": "slide-deck" } }, "state": "output-available", "output": { "edited": true, "message": "Edited material \"PEMDAS Power-Up! 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This involves meticulously adjusting problems, such as `6 + 2 * 5` and `10 - 8 / 2`, to ensure consistency and clarity.\n\n\n**Adjusting Problems Meticulously**\n\nI'm making the adjustments to the worksheet right now. I'm swapping out the old problems for the updated versions and recording their solutions for the answer key. So far, all problems have been updated and verified with correct solutions.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-editMaterial", "input": { "material": { "id": "pemdas-quick-challenge", "data": { "markdown": "# PEMDAS Quick Challenge\n\n**Name:** _____________________________\n\n**Date:** _____________________________\n\n---\n\nSolve each expression using the correct order of operations (PEMDAS). Show your work!\n\n1. `8 + 4 * 3`\n
\n
\n
\n2. `15 - 12 / 4`\n
\n
\n
\n3. `(7 - 2) * 5`\n
\n
\n
\n4. `20 / (2 + 3)`\n
\n
\n
\n5. `6 * 2 + 10 / 5`\n
\n
\n
\n6. `30 / 5 - 2 * 2`\n
\n
\n
" }, "name": "PEMDAS Quick Challenge", "type": "worksheet" } }, "state": "output-available", "output": { "edited": true, "message": "Edited material \"PEMDAS Quick Challenge\" of type \"worksheet\" with id \"pemdas-quick-challenge\"" }, "toolCallId": "nPX3b4Z1NrIuR1lK", "callProviderMetadata": { "google": { "thoughtSignature": "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" } } }, { "type": "step-start" }, { "text": "**Addressing the answer key**\n\nI'm currently updating the answer key for the revised worksheet. I've added new problems. Now, the answer key must reflect the solutions, especially the recent additions like solving for the result of `8 + 4 * 3`.\n\n\n**Completing the key**\n\nI've just added the new answers to the key, specifically solving those six new problems. They're now finalized and accurately reflect the solutions for problems like `8 + 4 * 3` and others. The key is now complete.\n\n\n", "type": "reasoning", "state": "done" }, { "type": "tool-editMaterial", "input": { "material": { "id": "pemdas-quick-challenge-answer-key", "data": { "markdown": "# PEMDAS Quick Challenge Answer Key\n\nHere are the solutions to the PEMDAS Quick Challenge. Remember to follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).\n\n---\n\n1. `8 + 4 * 3`\n * **Step 1: Multiplication**\n `4 * 3 = 12`\n * **Step 2: Addition**\n `8 + 12 = 20`\n * **Answer:** `20`\n\n2. `15 - 12 / 4`\n * **Step 1: Division**\n `12 / 4 = 3`\n * **Step 2: Subtraction**\n `15 - 3 = 12`\n * **Answer:** `12`\n\n3. `(7 - 2) * 5`\n * **Step 1: Parentheses**\n `7 - 2 = 5`\n * **Step 2: Multiplication**\n `5 * 5 = 25`\n * **Answer:** `25`\n\n4. `20 / (2 + 3)`\n * **Step 1: Parentheses**\n `2 + 3 = 5`\n * **Step 2: Division**\n `20 / 5 = 4`\n * **Answer:** `4`\n\n5. `6 * 2 + 10 / 5`\n * **Step 1: Multiplication**\n `6 * 2 = 12`\n * **Step 2: Division**\n `10 / 5 = 2`\n * **Step 3: Addition**\n `12 + 2 = 14`\n * **Answer:** `14`\n\n6. `30 / 5 - 2 * 2`\n * **Step 1: Division**\n `30 / 5 = 6`\n * **Step 2: Multiplication**\n `2 * 2 = 4`\n * **Step 3: Subtraction**\n `6 - 4 = 2`\n * **Answer:** `2`" }, "name": "PEMDAS Quick Challenge Answer Key", "type": "answer-key" } }, "state": "output-available", "output": { "edited": true, "message": "Edited material \"PEMDAS Quick Challenge Answer Key\" of type \"answer-key\" with id \"pemdas-quick-challenge-answer-key\"" }, "toolCallId": "iMt21TB7fSbq2g0i", "callProviderMetadata": { "google": { "thoughtSignature": "CicB0e2Kb63My7uO3kSZyeCJQo201xS8US4YDNIzS5RPZXRyoaxb3RwKbwHR7Ypv8+/LglSsyE8KHnFPUDUGO+3JJoyZYs8roUKo+BppAE/qAYELas3JpImnSaFal4YI4UzKb95XsM9mZlygWj75uMK07eIrWIPq6xtCFEflCkIgg2x82qdvYHjyUsl4OyjH0sAIysp5ZBVfNgq6AQHR7YpvVNULM5EXyI8jjnYZk9t3mv7yLH9FDOMG4PXuu7k996PTmqCiyfQN3iUkPKAgND6kSnMkSaWLX+umPSAmRBMzZEVuykJZcqlrdLxG9ZJc5yO9apX/nCv9KFoxsvDV1r6+4VeEsERSZnGLGpG0VY/KS3Ooh+MtPryGADRN0kHZ0h0vjOjGalFJPMnVCN5nUTblDbj+ER39ApF6gz5QgdvVjxhliY2oDrH6s/OeAYLHQZbxo/DwJgpqAdHtim/eS2st2aRvO2ma6xCEsh1zZGp3MydK64lfVylx6y0TqVOiZ6APgS4rn0p1ev/O1qSM+MotJDCIUblP0ebuTdZzLuzSxBnE2S+873pkfjV2zbu31iubOxz5pB9sjtjQsHXK9A0hLwppAdHtim+OwMbbCWvdc8/5jbs3ByXPJ7uRaMFfD8OTpmTMLiJnAcz2HKFptGswZ5iJ2js6rJ/TcuVg2aVIRHQ9nm3ad4oaQaB57cbPV7U3Ccxb4150EiTtW13QflHI1KqUCVxnCdHaPf7TCm8B0e2KbwLh1wmIwha/I1UZSb3Y76wDAsY6MPg8JBrUZ11dgCaR9cyQR8o/GjzRueP8oP2hipCEQcF/s5RwuwCPRP8ZXsFOaurkWMbF4X4KQJQ/tMNl0bQGxVblQu/VkbDkx9vOX48W4+LTJ8PuZIMKbQHR7YpvQ8o+p86mX4RT9GGfXVNbS4a0b8hQbF4JOF5MoMIoUlVlsjWchx10T7HYxKe68i2iPDk9SlVWLsO3ZbboEb7BXMmZtV7t/J1Ib1g9hIJML2oGn1FkSDmu8CaDidSgLapEFaAKdUhNdJYKaAHR7Ypv5AlMfRxmIZmDIY86eMzhugET/J9YMQ5exgK9VQq5jjGO2Qe7sZdZr7DoQS0KGAlagk8FDt8XzWHNMHA4s1yRzoyjxJHiGAbkhf6W88Z1EnbdMcRWj+QNhM4Ett0lQSlmzEoxCmwB0e2Kb157WhLqs/SXtasEgEaZRpOQbiiuptudtM2/ag4S4EDx9SSRqtuKFr2Tgbex7+8d6mKRKPBmfH4TvalDL5ARQsb1r7ymC021Oio00ou6lYBMytI0dcySEt+FDHLy1FDJUZHwLWAVc6gKUwHR7YpvkBS1iyRNWo0XkiICO/mfpEjgOZ0RjIwbtWVqnF85tpVLKBL+gwHs9LGOYLHuNzEOBfSzWbRlkxJtYzaql6eh0nAR8E8b5Sg9z86bXh8wCiIB0e2Kb9l9HnXGapPvnzmg0jXTvmo0Ba+RN7aE+7DKfIuz" } } }, { "type": "step-start" }, { "type": "tool-sendMessage", "input": { "message": "I have updated the examples in the slide deck, the quick challenge worksheet, and the answer key. **Would you like any other changes?**", "suggestions": [ "Add an extension activity", "Adjust the time", "Change lesson objective" ] }, "state": "output-error", "errorText": "Cannot read properties of null (reading 'slug')", "toolCallId": "3hC2UzWT3Y8kd5co" } ] }, { "id": "bvu86KIzoc0StAgK", "role": "assistant", "parts": [ { "type": "step-start" }, { "type": "tool-sendMessage", "input": { "message": "I've created the initial materials for 'PEMDAS Power-Up!'. 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