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Disciplinary Core Ideas PS1:A Example Problems: Each atom has a charged substructure consisting of a nucleus, which is made of protons & neutrons, surrounded by electrons Isotope Isotopic Mass # of # of # of Complete the Notation Protons neutrons electrons table: Ca-40 Fl-19 Li-7 PS1:7 Example Problems: Use the mole as the conversion from the atomic to the macroscopic scale through the use of mathematical thinking 1. How much will 3.58moles of carbon weigh? 2. How many atoms are in 2.95 moles of neon? 3. How much will 9.45x1023 atoms of potassium weigh? 4. If you have 18.95g of lithium, how many atoms are in the sample? 5. If you have 4.98g of sulfur, how many moles do you have? Developing & Using Models Use a model to predict the relationships between systems or between components of a system Example Activity: Pennium Lab –Mathematically determine the percent abundance of each isotope in a sample using Pennies with different composition as a model for atoms with a different number of neutrons. Using Mathematics & Computational Thinking Mathematical and computational thinking progresses to using algebraic thinking & analysis, a range of linear & non-linear functions including trigonometric functions, exponentials and logarithms, and computational tools for statistical analysis to analyze, represent and model data. Example Problems: 1. If you have weighed out 5 pennies with the following masses: 2.76g, 3.15g, 2.78g, 3.17g, Significant Figures 3.14g, what is the average mass of the pennies to the correct number of significant Conversions figures? Scientific Notation 2. 1300mL of IV saline is ordered over 8 hours. Using a drop factor of 15 drops/mL, how many drops per minute need to be delivered? 3. How would you represent the following numbers in scientific notation? a. 92,500,000 b. 0.000000723 Constructing Explanations and Designing Solutions Construct an explanation based on valid and reliable evidence obtained from a variety of sources and the assumption that theories and laws that describe the natural world operate today as they did in the past and will continue to do so in the future Apply scientific principles and evidence to provide an explanation of phenomena and solve design problems, taking into account possible unanticipated effects Example 1. Describe the evidence JJ Thompson used to determine the electron was charged Problems: 2. What was the data that caused Rutherford to rework his hypothesis? 3. Consider Dalton’s Atomic Theory. Cross out any statement, or parts of statements, that is no longer true considering the new evidence that has come to light since 1803? 1. All matter is made of extremely tiny particles called atoms 2. All atoms of a given element are identical in mass and properties, and they are different from any other element 3. Atoms cannot be created, divided into smaller particles or destroyed. 4. Atoms combine in simple whole number ratios to form compounds 5. In chemical reactions, atoms are separated, combined or rearranged. HS-PS1 Mathematical Thinking HS-PS1 Matter and its Interactions Science & Engineering Practices PS1-7 The Mole HS-PS1-7 Matter and its Interactions Use mathematical representations to support the claim that atoms, and therefore mass, are conserved during a chemical reaction. PS1-1 Atomic Structure NGSS Unit 1: The Atom HS-PS1-1 Matter and its Interactions Use the Periodic Table as a Model to predict the relative properties of elements based on the patterns of electrons in the outermost energy levels of atoms.