TN Physical Science Standards

Embedded Mathematics

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Physical Science: 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
Science Curriculum Standards 3202 - Physical Science	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 (e.g., mental mathematics, paper and pencil, or technology) 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	Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values Charts, Tables, and Graphs: Data Interpretation - some things to remember when doing problems based on data interpretation Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set) Collecting and Analyzing Data - multiple-choice quiz [5 questions] Data Interpretation Games - Numerous activities on using and interpreting data - Activities include bar, pie and line graphs, data collecting and much more Data Interpretation Practice Test - [25 questions] practice reading tables and a variety of charts; column, pie, and pictogram - answers at the end of the test Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem Graphing Skills - What's the point? find the point on Quadrant I of a coordinate plane Heads I Win - predict the likelihood of tossing heads or tails and graphs the results of coin tosses The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change. Interpreting Circle (Pie) Graphs - students practice by answering eight questions about the graph Interpreting Column Graphs - students practice by answering ten questions about the graph Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey - Interpreting Data Quiz - after you finish the lesson above, take this quiz Interpreting Data - multiple-choice quiz from Gencoe math [5 questions] Interpreting Line Graphs - explore line graphs. Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs. There is a worksheet associated with the data sets [these two expired pages are from the Internet Archive known as the Wayback Machine] Piece Of Pie - display data using a circle graph Push Ups - collect data to put on a line graph Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10 Stem and Leaf Plots Lesson designed to introduce students to stem-and-leaf plots Long Distance Airplanes - a stem-and-leaf plot lesson from Illuminations (rated 3rd-5th grade, but quite useful) Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine). Organizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page. Overview of Mean, Median, and Mode - presented as a discussion between student and mentor Overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution [this expired page is from the Internet Archive known as the Wayback Machine] Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments Stem and Leaf Plotter - an interactive applet that allow students to input data Stem-and-Leaf plots - from Purple Math Worksheet to accompany a "Stem-and-Leaf Plots" Lesson Using Graphs to Understand Data - quiz from Glencoe math [5 multiple-choice questions] What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
Articulate and apply algebraic properties in symbolic manipulation. Math.7
Apply geometric properties, formulas, and relationships to solve real-world problems. Math.8
Make decisions about units, scales, and measurement tools that are appropriate for problem situations involving measurement. Math.9	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
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
State Performance Indicators SPI Math.1 | SPI Math.2 | SPI Math.3 | SPI Math.4 | SPI Math.5 | SPI Math.6
Use real numbers to represent real-world applications (e.g., slope, rate of change, probability, and proportionality). SPI Math.1	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
Perform operations on algebraic expressions and informally justify the procedures chosen. SPI Math.2
Interpret graphs that depict real-world phenomena. SPI Math.3	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.
Apply right triangle relationships including the Pythagorean Theorem and the distance formula. SPI Math.4	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. SPI Math.5	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, cost per unit). SPI Math.6