Unpacking an 8th Grade Science Standard Standard Grade 8th Science Strand 5: Physical Science Concept 2: Motion and Forces PO 1. Demonstrate velocity as the rate of change of position over time. Learning Sequence Do (Process Skills) END GOAL: demonstrate Know (Content) 𝑥 𝑣= 𝑡 Produce Describe Describe and represent Define Describe Recognize and represent Define Recognize Describe One dimensional integer coordinate systems Relativity of origin in coordinate systems Physical, measurable quantities as variables (xi, xf, v, t) Position, initial position, and final position Difference between vector and scalar quantities Position can be negative or positive and is a vector quantity Distance Distance has no direction and is a scalar quantity The change between two measurable quantities as being a difference Changes in variables by using Displacement as x and the change in position Examples of positive and negative displacement Two dimensional integer coordinate systems Instantaneous time and time interval Time, initial time, final time, change time Two dimensional coordinate systems with position as a vertical variable and time as a horizontal variable Two variable relationships on a 2 dimensional coordinate system Data collection techniques for position and time relationships 1 dimensional linear motion (by showing or creating an example) motion of an object by describing behavior using position, distance, displacement and instantaneous time, and time Represent Define Identify Produce Compare and contrast Define Draw Discuss Describe Observe and summarize Articulate Calculate and compare Discuss Determine Discuss Recognize Discuss Write discusses Discusses Identifies Measures Discuss and justify Conduct Records Discuss Discuss Graphs Interprets Discusses Draws Discus Articulates Identifies interval Distance and displacement of an object between various given time intervals Data collection methods Appropriate and inappropriate ways to collect data Observations and bias The need for various methods for controlling for experimental error Amount of data needed to formulate reliable conclusions Scientific plans and notes in a place that can be reviewed again (such as a lab notebook) Correct scientist units of measure (m, k, s units) Reasoning for using standardized measuring systems Units of measure on measuring tools Something and uses correct notation when recording measurement A plan for collecting position and time data for an object moving in 1 dimension (including a plan for error control, multiple trials, data collecting, data recording, etc.) A controlled experiment to collect data for position and time for an object engaged in 1 dimensional linear motion (teacher note: with constant velocity) Data with correct units, observational notes while using appropriate organizational structures (data tables, sentences, lists, etc.) Data points represent specific, isolated points in time using the terms instantaneous time, position, meters, centimeters, seconds Inferences between data points (one to another) using terms time intervals, distance, displacement, initial position, final position, initial time, final time, meters, centimeters, seconds Data points on graph using appropriate units of measures and labels (ex: 2 sec, 4 cm) Meaning of data points on graph (why it is not a line yet, why points may not be in an obvious pattern) while using appropriate units of measure How scientists can use graphs to mathematically model reality and why numbers always have units of measure Best fit line The meaning of a best fit line and acknowledges that the line is not an exact representation of the data How graph, data, explanation, observations all represent the motion of the object using terms and proper units of measure Position, displacement, distance, time (interval and instantaneous) using their graph (including positive or negative when appropriate) Define Discuss Identify Articulate Use Calculate Articulate Define Articulate Use Speed as a scalar quantity dependent on distance and time interval The units of measure of speed meters/sec / = per and discuss what that might mean (for every…, in a…, etc.) That speed is how far something goes every one unit of time (without using the word per) Mathematical notation to represent speed ∆𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑠𝑝𝑒𝑒𝑑 = ∆𝑡 Or 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒𝑓𝑖𝑛𝑎𝑙 − 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑠𝑝𝑒𝑒𝑑 = 𝑡𝑓 − 𝑡𝑖 Speed of object using graph using two points and appropriate units of measure Speed and the meaning including units of measure (ex: 2 m/s Velocity as a vector quantity dependent on displacement and time Velocity as how far something ended from where it started (in the time interval) for every one unit of time (without saying per) Mathematical notation to represent velocity (also see equivalency between both) 𝑥 −𝑥 ∆𝑥 𝑣= or 𝑣 = 𝑓 𝑖 ∆𝑡 Calculate Compare and contrast Discuss 𝑡𝑓 −𝑡𝑖 Velocity of object using two points and appropriate units of measure Speed and velocity calculations when speed and velocity may be the same and when it will be different Objective for First Lesson Students will describe position as a vector by representing 3 examples (two positive, one negative) on a student produced one dimensional coordinate system. Do (Process Skills) Produce Describe Describe and represent Define Know (Content) One dimensional integer coordinate systems Relativity of origin in coordinate systems Physical, measurable quantities as variables (xi, xf, v, t) Position, initial position, and final position