Modeling Crater Lake
Develop students’ 3-D map reading skills by making a model showing the sculpted shape that lies under a large volcanic lake!
Standards
Idea Sheets are cross-referenced to subjects listed in the Common Core, Next Generation Science Standards, and California Content Standards.
Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 4||Mathematical Practices|||4.MD.1. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two- column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), …||Common Core Mathematics||Grade 4||Measurement And Data||Solve Problems Involving Measurement And Conversion Of Measurements From A Larger Unit To A Smaller Unit|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 5||Mathematical Practices|||5.MD.1. Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.||Common Core Mathematics||Grade 5||Measurement And Data||Convert Like Measurement Units Within A Given Measurement System|||Construct an explanation based on evidence for how geoscience processes have changed Earth’s surface at varying time and spatial scales. [Examples of geoscience processes include surface weathering and deposition by the movements of water, ice, and wind. ||Next Generation Science Standards||Middle School||Earth and Space Science||Earth’s Systems|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 6||Mathematical Practices|||6.RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “”The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak.”” “”For every vote candidate A received, candidate C received nearly three votes.””||Common Core Mathematics||Grade 6||Ratios And Proportional Relationships||Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems|||6.RP.2. Understand the concept of a unit rate a/b associated with a ratio a:b with b =? 0, and use rate language in the context of a ratio relationship. For example, “”This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.”” “”We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger.””1||Common Core Mathematics||Grade 6||Ratios And Proportional Relationships||Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems|||6.RP.3. Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.||Common Core Mathematics||Grade 6||Ratios And Proportional Relationships||Understand Ratio Concepts And Use Ratio Reasoning To Solve Problems|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 7||Mathematical Practices|||7.G.1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.||Common Core Mathematics||Grade 7||Geometry||Draw, Construct, And Describe Geometrical Figures And Describe The Relationships Between Them|||7.RP.2. Recognize and represent proportional relationships between quantities.||Common Core Mathematics||Grade 7||Ratios And Proportional Relationships||Analyze Proportional Relationships And Use Them To Solve Real-World And Mathematical Problems|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||Grade 8||Mathematical Practices|||Mathematical Practices: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. ||Common Core Mathematics||High School||Mathematical Practices|||HS.G.MG.1. Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).?||Common Core Mathematics||High School||Modeling With Geometry||Apply Geometric Concepts In Modeling Situations|||HS.N.Q.1. Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.||Common Core Mathematics||High School||Quantities||Reason Quantitatively And Use Units To Solve Problems|||HS.N.Q.2. Define appropriate quantities for the purpose of descriptive modeling.||Common Core Mathematics||High School||Quantities||Reason Quantitatively And Use Units To Solve Problems
7.d. Communicate the steps and results from an investigation in written reports and verbal presentations.||CA Science||Grade 6||07. Investigation and Experimentation||7. Scientific progress is made by asking meaningful questions and conducting careful investigations. As a basis for understanding this concept and addressing the content in the other three strands, students should develop their own questions and perform investigations. Students will: |||7.f. Read a topographic map and a geologic map for evidence provided on the maps, and construct and interpret a simple scale map.||CA Science||Grade 6||07. Investigation and Experimentation||7. Scientific progress is made by asking meaningful questions and conducting careful investigations. As a basis for understanding this concept and addressing the content in the other three strands, students should develop their own questions and perform investigations. Students will: |||1.2 Construct and read drawings and models made to scale.||CA Mathematics||Grade 7||03. Measurement and Geometry||1.0 Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems.|||1.h. Read and interpret topographic and geologic maps.||CA Science||Grade 9-12||05. Investigation and Experimentation||1. Scientific progress is made by asking meaningful questions & conducting careful investigations. As a basis for understanding this concept, & to address the content of the other strands, students should develop questions & perform investigations.|||9.d.* How to analyze published geologic hazard maps of California and use the map information to identify evidence of geological events of the past and predict geological changes in the future. (achievement is optional)||Grade 9-12||04. Earth Sciences||6. California Geology||9. The geology of California underlies the state’s wealth of natural resources as well as its natural hazards.
- Earth and Space Science
- Physical Science
- Grades 3-5
- Grades 6-8
- Science
- Math