Appendix: Implementing District Standards
California Common Core State Standards for Math (CA CCSS)43
Ratios and Proportional Relationships
Understand ratio concepts and use ratio reasoning to solve problems.
6RP1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6RP2. Understand the concept of a unit rate.
6RP3. 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.
- Make tables of equivalent ratios relating quantities with whole number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
- Solve unit rate problems including those involving unit pricing and constant speed.
- Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
- Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Mathematical Practices44
1. Make sense of problems and persevere in solving them.
Students solve real world equivalent ratio problems involving recipes.
2. Construct viable arguments and critique the reasoning of others.
Students analyze the given ratios and are able to explain the proportions in a given recipe.
3. Model with mathematics.
Students use tape diagrams, ratio tables, and double number lines to model the equivalent ratios needed to scale up or scale down a recipe.
4. Use appropriate tools strategically.
Students use measuring tools such as a digital scale, measuring cups, and measuring spoons.
5. Attend to precision.
Students calculate ratios and measure ingredients with precision in order to get a “just right” pancake.
6. Look for and make use of structure.
Students analyze ratios from given recipes to look for patterns.
Next Generation Science Standards (NGSS)45
Disciplinary Core Ideas
Structure, Function, and Information Processing
MS-LS1-8. Gather and synthesize information that sensory receptors respond to stimuli by sending messages to the brain for immediate behavior or storage as memories.
Science and Engineering Practices
MS-LS1-2 Develop and use a model to describe phenomena.
MS-LS1-1 Conduct an investigation to produce data to serve as the basis for evidence that meet the goals of an investigation.
MS-PS3-3 A solution needs to be tested, and then modified on the basis of the test results in order to improve it. There are systematic processes for evaluating solutions with respect to how well they meet criteria and constraints of a problem.
Crosscutting Concepts
MS-LS1-8 Cause and effect relationships may be used to predict phenomena in natural systems.
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