TN Conceptual Physics Standards - 2008-2009 Implementation

Embedded Mathematics

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Conceptual Physics: Embedded Mathematics
Checks for Understanding Math.1 | Math.2 | Math.3 | Math.4 | Math.5 | Math.6 | Math.7 | Math.8 | Math.9 | Math.10 | Math.11 | Math.12 | Math.13 | Math.14 | Math.15 | Math.16 | Math.17
Science Curriculum Standards 3237 - Conceptual Physics	Internet Resources
Use a variety of notations appropriately (e.g., exponential, functional, square root). Math.1	Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems and Exponent Practice - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Exponents - Unit 3 from Ms. Glosser's Math Goodies How to Simplify a Number - part of being approximate is simplifying numbers Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. Simplifying Radical Expressions - Intermediate Algebra tutorial Simplifying Radicals - basic information about perfect square numbers [This expired page is brought to you by the Internet archive, the Wayback Machine.] Simplifying Radicals - explanation and practice problems Symbols of Inclusion - simplify each expression and choose the correct comparison symbol Use the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
Select and apply an appropriate method for computing with real numbers, and evaluate the reasonableness of results. Math.2
Apply and interpret rates of change from graphical and numerical data. Math.3	Find Slope and y-Intercept - [15 slides] designed as a bellwork assignment, this show gives practice at reading slope and intercept from graphs How to Use the Slope Intercept Form (in Algebra) - explanation from Wiki How-to Linear Equation in Two Variables - a 27 slide show with good examples and explanation Learning about Rate of Change in Linear Functions Using Interactive Graphs - lesson plan from NCTM Make a Scatter Plot with Excel - this step-by-step lesson makes a linear graph from a set of x- and y- values, inserts a trend line and labels the linear equation used The Meaning of Slope and y-Intercept in the Context of Word Problems - explanation and three examples from Purple Math Practice Converting Linear Equations into Slope-Intercept Form - [11 slides] this show provides several opportunities for student practice - Expanded version of this show [25 slides] Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key Save Our Dumb Planet - [a linear equation game] Deduce correct flight path equations and then plot co-ordinates accurately to ensure your missiles hit their targets and destroy the rogue meteors heading on a collision course with Earth! Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on rate of change deals with linear equations written in standard form rather than slope intercept form Finding the X Intercept and Y Intercept to Graph Standard Form Equations - five practice problems to practice using what was learned in the lesson above, followed by an answer key Slope Intercept Form - a way to express the equation of a line - interactive practice followed by practice problems Slope-Intercept Form - [12 slides] this show uses animation very effectively, provides examples and the chance for student response and invludes a great real-world application of slope-intercept Slope Intercept Jeopardy - this show is in Jeopardy format; with five categories each with five questions - good for a while class review Writing Equation of a Line - [short opening promo included] video lesson from YourTeacher.com Writing the Equation of a Line - a 15 slide show with practice problems
Analyze graphs to describe the behavior of functions. Math.4
Interpret results of algebraic procedures. Math.5
Model real-world phenomena using functions and graphs. Math.6	Density Demonstration: Coke vs Diet Coke - lab activity, with associated picture, that would make a good real-world activity for a math or science class Density Review - [14 slides] review of density, several problems to work, several slides showing pictures of layers of liquids of different densities Disaster Math - Six sets of math quizzes; Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math. Fly By Math - Distance-Rate-Time Problems in Air Traffic Control designed for grades 5-9 - five separate problems each with associated handouts and videos and Hot or Not Activity - Temperature Conversion Worksheet - delete question one (related to another activity) and you will have twelve temperature conversion peoblems for your students Half-Life Worksheet - ten sample problems for your students plus a digram explaining how to visualize the calculation of half-life Half-Life Worksheet - a table with sample half-life periods is given, another table is for students to fill in answers. The two tables are followed by seven word problems Line Up With Math - Math based decisions in Air Traffic Control designed for grades 5-9 - This site has an overview, an interactive air traffic simulator and six problems and Manifest Density - [the pun is bad but the unit plan packet is great] - a 41 page unit plan with many good activities for math or science classes Mass, Volume, and Density - links to six activities, each of which require student responses from the Math and Science Activity Center of EdInformatics Mass, Volume, and Density Assessment - Two assessment quizzes are available each containing 10 questions each based on the topics contained in the Mass, Volume Density Module above. Problem Sets - Problem sets are currently available for the following topics in Mechanics (Physical Science). Each problem set consists of 25-35 problems which vary in difficulty. A problem set includes the problems, a concealed answer which can be revealed by clicking a button, and an audio-guided solution. Rate - work through the lesson, experiment with the interactive figure and then answer ten questions [caution: do not submit until you have selected answers to all of the questions] and Temperature Conversion Worksheet - there's a table to fill out and several conversion problems; Fahrenheit to Celsius and Celsius to Fahrenheit Temperature Conversions - this explanation of how to convert from one temperature scale to another is followed by four printable worksheets and four online quizzes to practice the skill and
Articulate and apply algebraic properties in symbolic manipulation. Math.7
Apply and communicate measurement concepts and relationships in algebraic and geometric problem-solving situations. Math.8	British and Metric Conversions - a series of pages relating to converting to or from metric units Calculating the Density of a Liquid - tutorial on the math involved plus sample questions Calculating Density of a Solid - tutorial on the math involved plus sample questions Converting Fahrenheit to Celsius - interactive problem from Annenberg Converting Length Measurements - use your knowledge of meters, centimeters and millimeters to answer questions to build a shed Finding the Mass of an Object - tutorial on using a triple-beam balance which includes questions to answer Finding the Volume of an Object - tutorial on using a graduated cylinder which includes questions to answer Platform Scales Addition - weigh several items and find the sum in hundredths of a gram or Platform Scales Subtraction - weigh several items and find the difference in hundredths of a gram or Teaching Measures - links to length, mass, or capacity activities and printables - good for using on an interactive whiteboard for a whole class activity Transparency Master - use this high quality picture of a block of metal on a triple beam balance as a review for your students Using a Graduated Cylinder - [L and mL] a whole class activity for reading a scale, estimating and converting between units or Using a Platform Scale - practice using scales like the one in a doctor's office, five Gregs will drop on the scale, waiting to be weighed, see how quickly you can weigh them or Using a Ruler - a whole class activity for reading a ruler, estimating and converting between units or
Make decisions about units, scales, and measurement tools that are appropriate for problem situations involving measurement. Math.9	British and Metric Conversions - interactives for converting between metric and English units Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest thousands and thousandths and place value Converting Fahrenheit to Celsius - an Internet4Classrooms tutorial Hot or Not Activity - Temperature Conversion Worksheet - delete question one (related to another activity) and you will have twelve temperature conversion peoblems for your students Interactive Units Converter - Here you will find interactive calculators for many measurement systems both commonly used like metric and U.S. Avoirdupois and quite exotic like Ancient Greek and Roman. Matthew Metric's Gum Parlor - a game for converting metric units of length Measure converter - Full Conversion Table (sorted by Measure Unit Name) Temperature Conversion Worksheet - there's a table to fill out and several conversion problems; Fahrenheit to Celsius and Celsius to Fahrenheit Temperature Conversions - this explanation of how to convert from one temperature scale to another is followed by four printable worksheets and four online quizzes to practice the skill and
Collect, represent, and describe linear and nonlinear data sets developed from the real world. Math.10	Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math. Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David. Finding the X Intercept and Y Intercept to Graph Standard Form Equations - five practice problems to practice using what was learned in the lesson above, followed by an answer key Fly By Math - Distance-Rate-Time Problems in Air Traffic Control designed for grades 5-9 - five separate problems each with associated handouts and videos and Line Up With Math - Math based decisions in Air Traffic Control designed for grades 5-9 - This site has an overview, an interactive air traffic simulator and six problems and Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF. Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas Rate - work through the lesson, experiment with the interactive figure and then answer ten questions [caution: do not submit until you have selected answers to all of the questions] and Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on rate of change deals with linear equations written in standard form rather than slope intercept form Stressed Out - Slope as Rate of Change Taming Word Problems - a WebQuest Teacher Dodgeball - fill in numbers on an equation - Each blank of the equation stands for a number on a teacher. Hit the teacher with the number that goes next in the equation by clicking on them. Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource. Using Mathematical Sentences - how to create and solve mathematical sentences Practice exercises Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.
Make predictions from a linear data set using a line of best fit. Math.11	Find Slope and y-Intercept - [15 slides] designed as a bellwork assignment, this show gives practice at reading slope and intercept from graphs How to Use the Slope Intercept Form (in Algebra) - explanation from Wiki How-to Linear Equation in Two Variables - a 27 slide show with good examples and explanation Learning about Rate of Change in Linear Functions Using Interactive Graphs - lesson plan from NCTM Line of Best Fit Line of Best Fit - using graph paper and a strand of spaghetti (uncooked) Line of Best Fit - using a graphing calculator Line of Best Fit - This activity (from Illuminations) allows the user to enter a set of data, plot the data on a coordinate grid, and determine the equation for a line of best fit. Line of Best Fit Applet - you can enter up to 10 points in the given chart Line of Best Fit Explanation - [format: discussion between student and mentor] why the line of best fit does not always touch as many points as possible on a scatter plot Linear Regression and Excel - suggestions on making graphs displaying linear regression as well as making modifiations to the trend lines. Regression - Plot a bivariate data set, determine the line of best fit for their data, and then check the accuracy of your line of best fit Scatter Plot and Line of Best Fit - use interactive grid to create your own scatter plot(s) Using a Graphing Calculator to Display the Line of Best Fit - specific to the TI-83+/84+ graphing calculator Make a Scatter Plot with Excel - this step-by-step lesson makes a linear graph from a set of x- and y- values, inserts a trend line and labels the linear equation used The Meaning of Slope and y-Intercept in the Context of Word Problems - explanation and three examples from Purple Math Practice Converting Linear Equations into Slope-Intercept Form - [11 slides] this show provides several opportunities for student practice - Expanded version of this show [25 slides] Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key Save Our Dumb Planet - [a linear equation game] Deduce correct flight path equations and then plot co-ordinates accurately to ensure your missiles hit their targets and destroy the rogue meteors heading on a collision course with Earth! Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on rate of change deals with linear equations written in standard form rather than slope intercept form Finding the X Intercept and Y Intercept to Graph Standard Form Equations - five practice problems to practice using what was learned in the lesson above, followed by an answer key Slope Intercept Form - a way to express the equation of a line - interactive practice followed by practice problems Slope-Intercept Form - [12 slides] this show uses animation very effectively, provides examples and the chance for student response and invludes a great real-world application of slope-intercept Slope Intercept Jeopardy - this show is in Jeopardy format; with five categories each with five questions - good for a while class review Writing Equation of a Line - [short opening promo included] video lesson from YourTeacher.com Writing the Equation of a Line - a 15 slide show with practice problems
1nterpret a data set using appropriate measures of central tendency. Math.12
Choose, construct, and analyze appropriate graphical representations for a data set. Math.13
Use real numbers to represent real-world applications (e.g., slope, rate of change, probability, and proportionality). Math.14	Density Demonstration: Coke vs Diet Coke - lab activity, with associated picture, that would make a good real-world activity for a math or science class Density Review - [14 slides] review of density, several problems to work, several slides showing pictures of layers of liquids of different densities Disaster Math - Six sets of math quizzes; Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math. Fly By Math - Distance-Rate-Time Problems in Air Traffic Control designed for grades 5-9 - five separate problems each with associated handouts and videos and Hot or Not Activity - Temperature Conversion Worksheet - delete question one (related to another activity) and you will have twelve temperature conversion peoblems for your students Half-Life Worksheet - ten sample problems for your students plus a digram explaining how to visualize the calculation of half-life Half-Life Worksheet - a table with sample half-life periods is given, another table is for students to fill in answers. The two tables are followed by seven word problems Line Up With Math - Math based decisions in Air Traffic Control designed for grades 5-9 - This site has an overview, an interactive air traffic simulator and six problems and Manifest Density - [the pun is bad but the unit plan packet is great] - a 41 page unit plan with many good activities for math or science classes Mass, Volume, and Density - links to six activities, each of which require student responses from the Math and Science Activity Center of EdInformatics Mass, Volume, and Density Assessment - Two assessment quizzes are available each containing 10 questions each based on the topics contained in the Mass, Volume Density Module above. Problem Sets - Problem sets are currently available for the following topics in Mechanics (Physical Science). Each problem set consists of 25-35 problems which vary in difficulty. A problem set includes the problems, a concealed answer which can be revealed by clicking a button, and an audio-guided solution. Rate - work through the lesson, experiment with the interactive figure and then answer ten questions [caution: do not submit until you have selected answers to all of the questions] and Temperature Conversion Worksheet - there's a table to fill out and several conversion problems; Fahrenheit to Celsius and Celsius to Fahrenheit Temperature Conversions - this explanation of how to convert from one temperature scale to another is followed by four printable worksheets and four online quizzes to practice the skill and
Apply right triangle relationships including the Pythagorean Theorem and the distance formula. Math.15	Demonstrate the Pythagorean Theorem - from NOVA Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995. Nineteen Pythagorean Theorem applets Proof of the theorem is demonstrated through a Quicktime animation. Pyramid Panic - [a geometry game] Apply increasingly-complex rules of geometry to help an imprisoned Mummy build pathways out of its pyramid prison and escape from the jaws of a hungry Egyptian demon Pythagorean Explorer - Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers. Pythagorean Theorem - Discover how the Pythagorean Formula describes the relationships between the lengths of the legs and hypotenuse of a right triangle. Work through the lesson, experiment with the interactive figure and then answer five questions. [caution: do not submit until you have selected answers to all of the questions] and Pythagorean Theorem - five question multiple-choice quiz from Glencoe Math Pythagorean Theorem: 1 - a java applet that allows students to investigate this theorem. Pythagorean Theorem: 2 - another java applet that allows students to investigate this theorem, similar to the one above. Pythagorean Theorem - This lesson will allow you to figure out the Pythagorean Theorem all by yourself. Pythagorean Theorem and its many proofs (43 to be precise) Pythagorean theorem and right triangle facts - given the length of three sides, determine if a right triangle is being described [8 questions] The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle. Squaring the Triangle - Students learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle. Using the Pythagorean Theorem - Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page.
Use concepts of length, area, and volume to estimate and solve real-world problems. Math.16	Artie Ounces Soda Jerk - interactive game to practice converting ounces to pints and quarts or Learning about Length, Perimeter, Area, and Volume of Similar Objects Using Interactive Figures: Side Length and Area of Similar Figures - This two-part example illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures. This NCTM e-example includes an interactive applet Lesson on Non-Linear Functions - session 7 of Patterns, Functions, and Algebra from Annenberg Linear and Non Linear Functions - handout to print with explanation, example and practice problems
Demonstrate an understanding of rates and other derived and indirect measurements (e.g., velocity, miles per hour, revolutions per minute, and cost per unit). Math.17