+>L@>HH(FG(HH(d'@xxxx*C6Z~2Vz`$APPLIED MATH ESSENTIALS*C6Z~2Vz`UNITS 9 THROUGH 22*C6Z~2Vz *L6Z~2Vz *L6Z~2Vz`  UNIT: 9 *L6Z~2Vz  *L6Z~2Vz` ) TITLE: RATIOS AND PROPORTIONS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz` - 1. Test key #12 and #17 are wrong *L6Z~2Vz` B 2. Patterns of setting up direct/indirect proportions. *L6Z~2Vz` # 3. Solving proportions. *L6Z~2Vz` B 4. Ability to determine direct/indirect relationships. *L6Z~2Vz` & 5. Process of conversions. *L6Z~2Vz` = 6. Direct proportions: cross multiply then divide *L6Z~2Vz` I 7. Indirect proportions: multiply mph times hrs for distance. *L6Z~2Vz` X 8. Angular speed of a gear is inversely proportional to the number of teeth. *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` " 1. Indirect lab needed *L6Z~2Vz` J 2. 1-3 from book: ratios and proportions in similar triangles *L6Z~2Vz` 4 Using ratios to make a scale drawing *L6Z~2Vz` 7 Lever arm and force ratio (whole class) *L6Z~2Vz` 0 Similar triangle to find heights *L6Z~2Vz` ! Hot wheel car lab *L6Z~2Vz`  Counting fish *L6Z~2Vz` . Change proportions in a recipe  *L6Z~2Vz`  UNIT: 10 *L6Z~2Vz  *L6Z~2Vz` ! TITLE: SCALE DRAWINGS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz` . 1. Essentially the same as 9 plus: *L6Z~2Vz` # 2. Measuring accurately *L6Z~2Vz` % 3. Ratios and proportions *L6Z~2Vz` ) 4. Problem solving techniques *L6Z~2Vz`  5. Estimation *L6Z~2Vz` 5 6. Write keys or scale-up as: Ratio=1:10  *L6Z~2Vz` 4 Sentence=1 inch represents 10 feet *L6Z~2Vz` ' Fraction=Scale = 1/10 *L6Z~2Vz` ( Graphic= |_____|_____| *L6Z~2Vz` + 0 5 10 *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` 2 1. 1-3 from book: Drawing a simple map *L6Z~2Vz` $ Making a 1:1 drawing *L6Z~2Vz` 7 Making a scaled-up, scaled-down drawing *L6Z~2Vz` % Super-sized candy bar *L6Z~2Vz` D Determine actual distance from a scale drawing (map) *L6Z~2Vz@ G Have students stake out actual dimensions of building using `  a blueprint  *L6Z~2Vz`  UNIT: 11 *L6Z~2Vz  *L6Z~2Vz` 3 TITLE: USING SIGNED NUMBERS AND VECTORS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz` D 1. Define integers, absolute value, number line, vectors *L6Z~2Vz` E 2. Skills: add, subtract, multiply, divide signed numbers *L6Z~2Vz` - 3. Add vectors: in same direction *L6Z~2Vz` % in opposite directions *L6Z~2Vz` ( at an angle to each other *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz`  1. Treasure hunt lab *L6Z~2Vz` 5 2. ACTIVITY 1: COMPARING PULSE RATES (I) *L6Z~2Vz  *L6Z~2Vz` - Review how to determine averages. *L6Z~2Vz@ U Work in pairs, each pair with red and blue pencils. Do lab with the following ` modifications: *L6Z~2Vz  *L6Z~2Vz@ X Each group needs 1 piece of graph paper. After step D record data on board, girls  Sinformation in blue, boys information in red. Plot both sets of data.. Each person  Tshould plot their individual rates on the graph. Also determine the boys and girls  Xaverages for each condition, plot and label appropriately..Plot as pulse rate vs. total ` Ctime. Write a paragraph drawing a conclusion from the graph. *L6Z~2Vz  *L6Z~2Vz  *L6Z~2Vz` 8 ACTIVITY 2--DRAWING DISPLACEMENT VECTORS (I) *L6Z~2Vz  *L6Z~2Vz` I Introduction: Review how to use compass and meaning of scale. *L6Z~2Vz@ V Do lab as in book. When returning from field experience discuss the meaning of  Omagnitude and heading.. Graph data and draw in resultant (discuss term).. Then ` Wdetermine magnitude of resultant graphically. Compare actual to graphical value. *L6Z~2Vz  *L6Z~2Vz` 3 ACTIVITY 3--COMBINING VECTOR FORCES (I) *L6Z~2Vz  *L6Z~2Vz@ Z Mark string @ 1/2, 1/3, 1/4 length with 3 different colored markers. Record forces ` applied to each scale. *L6Z~2Vz@ W Change the pegboard from nearly vertical to horizontal and move the golf tees to  Tvarious pegs so as to have the mass again hang from the 3 marked places. Record the  Vresults in t-table format and compare results. Try to explain the results in a short ` paragraph. *L6Z~2Vz  *L6Z~2Vz` : ACTIVITY 4--SUPPLEMENTARY --TREASURE HUNT (I) *L6Z~2Vz  *L6Z~2Vz@ Y Add + or - value to x marks the spot to indicate depth of burial or height above ` 9ground. Decide on either English or metric units. *L6Z~2Vz   *L6Z~2Vz`  UNIT: 12 *L6Z~2Vz  *L6Z~2Vz` , TITLE: USING SCIENTIFIC NOTATION *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz` ) 1. Define scientific notation *L6Z~2Vz` 7 2. Positive, negative and zero powers of 10 *L6Z~2Vz@ Z 3. Convert decimal form to scientific notation and vice versa for large numbers and ` for small numbers *L6Z~2Vz` ] 4. Multiply and divide numbers in scientific notation by hand and with calculator *L6Z~2Vz` 9 5. Convert to larger and smaller metric units *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` < 1. LAB 1-- MEASURING AVERAGE PAPER THICKNESS (I) *L6Z~2Vz  *L6Z~2Vz@ Y Vary book thickness from 200 to over 500 pages. Also, vary books and page numbers ` in book.  *L6Z~2Vz@ b Plot both individual and group data. Do steps a-e as listed. Plot page thickness vs. total  Vpages. Plot both group and class data. Write a paragraph describing the results and ` (explain differences, if any occur. *L6Z~2Vz  *L6Z~2Vz` , LAB 2- -COUNTING SAND GRAINS (I) *L6Z~2Vz  *L6Z~2Vz@ ] Do as is, or extend using glass bead from ESCP materials or BB's. You could then plot ` Qdata for the sand and 3 different-sized beads and extrapolate if desired. *L6Z~2Vz  *L6Z~2Vz` 0 LAB 3--MEASURING WATER MOLECULES (I) *L6Z~2Vz  *L6Z~2Vz@ S Make sure graduated cylinders are plastic...Review how to read meniscus when ` taking measurements. *L6Z~2Vz  *L6Z~2Vz` < LAB 4--RUNNING INTERGALACTIC SHUTTLE SERVICE (I)  *L6Z~2Vz`  UNIT: 13 *L6Z~2Vz  *L6Z~2Vz` 3 TITLE: PRECISION ACCURACY AND TOLERANCE *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ M 1. Understand extremely small numbers and how to use dial calipers and ` micrometers *L6Z~2Vz` H 2. Understand the differences between counting and measuring *L6Z~2Vz` H 3. Understand the differences between precision and accuracy *L6Z~2Vz` 7 4. Understand how to analyze specifications *L6Z~2Vz` B 5. Use the calculator in determining + or - tolerances *L6Z~2Vz@ [ 6. Understand the importance of transferring the use of the above skills to everyday ` life  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` " 1. Chainsaw piston lab *L6Z~2Vz`  2. Resistor lab *L6Z~2Vz` E 3. ACTIVITY 1--PRECISION AND TOLERANCE IN MEASUREMENT (G) *L6Z~2Vz  *L6Z~2Vz@ \ Skip the portions using the vernier caliper (unless you like to use and abuse them).. ` MTends to be wordy, teacher-led may be best approach for many classes... *L6Z~2Vz  *L6Z~2Vz` = ACTIVITY 2--UNCERTAINTY IN AREA MEASUREMENTS (I) *L6Z~2Vz  *L6Z~2Vz@ [ Mistake in T. guide and student book on page 30 under calculations section. Sixth ` +line down-change 71 15/16 to 71 5/16. *L6Z~2Vz  *L6Z~2Vz` ? ACTIVITY 3--EXACT AND APPROXIMATE NUMBERS (G or I) *L6Z~2Vz  *L6Z~2Vz@ V Why not solve in pounds and ounces, rather than grams? How many times do you go ` Dto Eagle and check the weight of a nail--in grams, no less...   *L6Z~2Vz`  UNIT: 14 *L6Z~2Vz  *L6Z~2Vz` 9 TITLE: SOLVING PROBLEMS WITH POWERS AND ROOTS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ [ 1. Define (hitting lightly the * items): exponents/powers, roots/square roots, base; ` Flinear, *quadratic, and *inverse functions; *pythagorean theorem *L6Z~2Vz`B 2. Powers on a calculator - use the y x  key *L6Z~2Vz`F 3. Negative powers: 6 -2 =1/6 2 =1/36  *L6Z~2Vz` T 4. Powers of negative numbers: if its an even power then positive number *L6Z~2Vz` 6 if its an odd power then odd number *L6Z~2Vz`K 5. Product of powers: y 4. y b =y a+b *L6Z~2Vz`R 6. Quotient of powers:  y a /y b =y a-b *L6Z~2Vz`1 7. Power of 0:  y 0 =1 *L6Z~2Vz`+ 8. Power of 1: y 1 =1 *L6Z~2Vz` 1 9. Roots: show root key on calculator *L6Z~2Vz` A use square root on both sides of equation to solve *L6Z~2Vz` pythagorean theorem, c 2  =a 2 +b 2  or c= square root of  a 2 +b 2 *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` # 1. Pit and pendulum lab *L6Z~2Vz` - 2. Calculating investment returns *L6Z~2Vz` 9 3. ACTIVITY 1--PENDULUM LENGTH AND PERIOD (I) *L6Z~2Vz  *L6Z~2Vz@ Y Do as is. Depending on class achievement level maybe add PIT & PENDULUM lab. Set  Wup graph w/ period (sec) vs. length (inches). Pass out passage from E. A. Poes work  QPit and the Pendulum describing the descending pendulum. From this have a class  Rdiscussion of the time implied and the length of the pendulum. Determine through  Utrials at various lengths whether Poe was accurate in his description or just taking  Oadvantage of the math ignorance of the reading public..SEE IF THERE REALLY WAS ` 'TIME FOR THE PRISONER TO ESCAPE.. *L6Z~2Vz  *L6Z~2Vz` 9 ACTIVITY 2--VOLUMES AND DIAMETERS OF CANS (I) *L6Z~2Vz  *L6Z~2Vz@ T Review linear and non-linear relationships--do examples of each. When lab is ` Scompleted re-emphasize this relationship looking at results from parts C & D. *L6Z~2Vz  *L6Z~2Vz` + ACTIVITY 3--PYTHAGOREAN THEOREM *L6Z~2Vz  *L6Z~2Vz` 6 OK as is, if I can find enough squares... *L6Z~2Vz  *L6Z~2Vz` R ACTIVITY 4--SUPPLEMENTAL. ACTIVITY--CALCULATING INVESTMENT RETURNS (I) *L6Z~2Vz  *L6Z~2Vz` E Stress possible value in real life for this activity...  *L6Z~2Vz`  UNIT: 15 *L6Z~2Vz  *L6Z~2Vz` 3 TITLE: USING FORMULAS TO SOLVE PROBLEMS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ Z 1. Define: variables; constants; dependent and independent variables; coefficients, ` Kpythagorean theorem, right triangle, hypotenuse, exponents, and roots *L6Z~2Vz` W 2. Formula concepts/solving equations/rewrite formula to isolate a variable *L6Z~2Vz` V 3. Addition, subtraction, multiplication, and division of exponents; roots *L6Z~2Vz` ) 4. Review 10 common formulas  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` % 1. Car ad from newspaper  *L6Z~2Vz` 0 2. ACTIVITY 1--RATE AND DISTANCE (I) *L6Z~2Vz  *L6Z~2Vz@ Z OK is you have the materials. Variations: use person instead of car, run a certain  Sdistance. Review D=RT and derivations. Be sure and emphasize step E before racing  Sthe cars against each other. You might then switch batteries from the fastest and ` 3slowest and compare as a fun after-thought... *L6Z~2Vz  *L6Z~2Vz` > ACTIVITY 2--RADIUS AND VOLUME OF A SPHERE (G or I) *L6Z~2Vz  *L6Z~2Vz@ ] If you have access to glass beads they will work in place of the ball bearing. If you  Suse 3 or more different-sized beads then graph both radius and diameter vs. volume ` +on the same graph and compare results *L6Z~2Vz  *L6Z~2Vz` @ ACTIVITY 3--INDIRECT MEASUREMENT OF HEIGHT (LARGE I) *L6Z~2Vz  *L6Z~2Vz` # Looks like fun to me... *L6Z~2Vz  *L6Z~2Vz` ? ACTIVITY 4--SUPPLEMENTARY LAB--BUYING DREAM CAR (I)  *L6Z~2Vz`  UNIT: 16 *L6Z~2Vz  *L6Z~2Vz` : TITLE: SOLVING PROBLEMS USING LINEAR EQUATIONS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ [ 1. AMST 15BG does not cover needed material - go to an algebra text to cover solving ` 1,2, and 3 step equations *L6Z~2Vz` 1 2. Formula concepts/solving equations *L6Z~2Vz` " 3. Variables/constants *L6Z~2Vz` V 4. Addition, subtraction, multiplication, and division of exponents; roots *L6Z~2Vz@ U 5. Definition: linear and nonlinear equations; variable, independent variable, ` @dependent variable, constant, unknown, coefficient, slope  *L6Z~2Vz` & 6. Concept of substitution *L6Z~2Vz` O 7. Slope intercept form of equation: y=mx+b, m=slope, b=y intercept *L6Z~2Vz` , 8. How to make a table of values *L6Z~2Vz` E 9. How to translate word problems to equations and solve. *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` O 1. ACTIVITY 1--RELATIONSHIP BETWEEN HEIGHT & VOLUME OF CYLINDER (I) *L6Z~2Vz  *L6Z~2Vz` B Review the concept of linear relationships before lab. *L6Z~2Vz@ Z NOTE **--Graph paper can be expensive.. Creative Publications sells a book of graph  Rpaper masters, many -sized and patterned.. Well worth the price of 9-11 dollars.  LAddison-Wesley publishes a book on linear and non-linear equations titled  RExperiments in Linear and Non-linear Equations. There are 17 linear experiments  Wavailable in this book.. Several are applicable for your groups... Units 16 and 17 are ` 5both good locations to utilize these materials. *L6Z~2Vz  *L6Z~2Vz` ? ACTIVITY 2--MEASURING IN INCHES AND CENTIMETERS (I) *L6Z~2Vz  *L6Z~2Vz@ Y After completing the activity have groups measure (in feet and inches) the length  Uof a larger object and use their graph to determine the length in centimeters. Then ` Pre-measure the object metrically to check the accuracy of their graphing. *L6Z~2Vz  *L6Z~2Vz` ; ACTIVITY 3--WEIGHT AND VOLUME OF WATER (G or I) *L6Z~2Vz  *L6Z~2Vz@ ] Use plastic graduated cylinders. In addition to tying the string around the cylinder,  Palso tape the string on to create a more secure atmosphere--and drier classroom  Pfloor. The explanation of slope and weight---and where they fit into the slop-` Zintercept form is helpful, but should be reviewed well at the completion of the lab. *L6Z~2Vz  *L6Z~2Vz` S ACTIVITY 4--SUPPLEMENTAL LAB-USING BONE LENGTH TO DETERMINE HEIGHT. (I) *L6Z~2Vz  *L6Z~2Vz` C Looks like a little introduction to forensic medicine!!  *L6Z~2Vz`  UNIT: 17 *L6Z~2Vz  *L6Z~2Vz`  TITLE: GRAPHING DATA *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ ] 1. Definitions: linear equation, table of values, Cartesian Coordinate System, ordered  Qpairs, points, quadrants, axes, origin, slope, 1st coordinate, 2nd coordinate, x-` Pintercept, y-intercept, domain, range, dependent and independent variables *L6Z~2Vz` T 2. Know signs in f quadrants: 1st (+,+), 2nd (-,+), 3rd (-,-), 4th (+,-) *L6Z~2Vz` . 3. Choosing proper range and scale *L6Z~2Vz` 4 4. Meaning of slope (large, small, +, -) *L6Z~2Vz` . 5. Using tables to graph equations *L6Z~2Vz` E 6. Using slope-intercept form of equations to draw graphs *L6Z~2Vz` ; 7. Find slope using rise/run or delta-y/delta-x *L6Z~2Vz` ) 8. Finding x and y intercepts *L6Z~2Vz` [ 9. Understanding differences between a formula, table, and graph of 2 variables *L6Z~2Vz` E 10. Using a table to graph a non-linear function (curve)  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz@ ] 1. Linear relationships , ordered pairs: balloon lab, strobe light lab, truss building ` lab *L6Z~2Vz` R 2. ACTIVITY 1--LOCATING ORDERED PAIRS (CARTESIAN COORDINATE PLANE) (I) *L6Z~2Vz  *L6Z~2Vz@ ^ Short timer. The pegboards with golf tees, along with string, could be used to explore  Sthe slope-intercept equation, y=mx+b, by varying the M from large numbers to small  Yfractions, and using negative values as well. You could also change the x-intercept... ` GThis could be a good tool if each student had their own pegboard. *L6Z~2Vz  *L6Z~2Vz` @ ACTIVITY 2--COORDINATE SYSTEM FOR CLASSROOM (I or G) *L6Z~2Vz  *L6Z~2Vz@ Y Provides an opportunity to determine slope from various points in the classroom..X- Xintercept is easy to determine, and slope? First--is it + or -, then just determine how ` :far over and up or down--BINGO-the equation is done. *L6Z~2Vz  *L6Z~2Vz` > ACTIVITY 3--VOLUME AND HEIGHT OF CYLINDER (G or I) *L6Z~2Vz  *L6Z~2Vz` ; Im skipping step g---dont know about you... *L6Z~2Vz  *L6Z~2Vz` 3 ACTIVITY 4--POLAR COORDINATE SYSTEM (I) *L6Z~2Vz  *L6Z~2Vz@ V Review both cartesian and polar coordinate systems first, along with a compass ` refresher. *L6Z~2Vz  *L6Z~2Vz` 3 ACTIVITY 5-- LOCATING ENEMY VESSELS (I) *L6Z~2Vz` 3 A battleship wannabe game-lots of fun!!  *L6Z~2Vz`  UNIT: 18 *L6Z~2Vz  *L6Z~2Vz` > TITLE: SOLVING PROBLEMS USING NON-LINEAR EQUATIONS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ U 1. Definitions: quadratic equation, parabola, square root function, inverse or  Nreciprocal function, hyperbola, exponential function and curve, dependent and ` independent variables *L6Z~2Vz` . 2. Linear graph is a straight line *L6Z~2Vz@g 3. Linear equation has 1st degree variable on top (ex: y=x, y=1000(1=x/12) 2  [x is on ` top]) *L6Z~2Vz@ 4. Non-linear graph is curved line. Non-linear equation has x 2 , x 3 , etc. or 1/x, 1/x 2 , ` etc. *L6Z~2Vz`S 5. Finding slope: y @2 -y @1 /x @2 -x @1 *L6Z~2Vz`, @6. Percent to decimal to percent *L6Z~2Vz`P @7. Using tables of values and graphing; finding x and y from a graph *L6Z~2Vz`N @8. Understanding the x root of y equals y to the power of 1 over x *L6Z~2Vz`S @9. Describing graphs in words (ex. as x increases, y increases quickly) *L6Z~2Vz`0 @10. Isolate or solve for a variable  *L6Z~2Vz`F @11. Exercise 17 is "yucky" and level C, not level A  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` @ 1. From AM II TRB: calculating the age of artifacts  *L6Z~2Vz@ W 2. Unit 18 can also utilize Experiments in Linear and Non-linear Equations, by ` BAddison-Wesley, since were exploring non-linear equations. *L6Z~2Vz` 6 3. ACTIVITY 1--PRICE AND SIZE OF PIZZA (I) *L6Z~2Vz  *L6Z~2Vz` H Gee, would this concept apply to rectangular pizzas as well? *L6Z~2Vz  *L6Z~2Vz` . ACTIVITY 2--EXPONENTIAL GROWTH (I) *L6Z~2Vz  *L6Z~2Vz@ T No checkerboards available, so Ill just enlarge the drawing on page 29 to an ` )adequate size to hold the material. *L6Z~2Vz  *L6Z~2Vz` < ACTIVITY 3--HEIGHT AND TIME OF BOUNCING BALL (I) *L6Z~2Vz  *L6Z~2Vz@ ] OK. Also talk to physics teacher and see if they have acceleration timer w/tape. They  Yalmost always do an acceleration due to gravity lab using this stuff, and its an easy ` Blab to develop (They already should have it done for you)... *L6Z~2Vz  *L6Z~2Vz` G ACTIVITY 4--SUPPLEMENTARY--CALCULATING AGE OF ARTIFACTS (I) *L6Z~2Vz` = You get to eat the bones at the end of the lab!!  *L6Z~2Vz`  UNIT: 19 *L6Z~2Vz  *L6Z~2Vz` * TITLE: WORKING WITH STATISTICS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ R 1. Define: mode, median, mean, range, standard deviation, central tendency,  Svariability, histogram, statistics, sampling, inferential statistics, probability,  Rfrequency, distribution table, measures of variability, trends, inflection point, ` summation notation *L6Z~2Vz` V 2. Find 3 measures of central tendency: mode, median, mean. Find the range *L6Z~2Vz` ? 3. Make a frequency distribution chart, a histogram *L6Z~2Vz@ U 4. Study the characteristics of the normal bell shaped curve such as symmetry, ` Binflection point, standard deviation, mean, mode, and median *L6Z~2Vz@ [ 5. Find standard deviation using the formula and by using the statistics keys on the ` scientific calculator  *L6Z~2Vz  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` < 1. ACTIVITY 1--COMPARING REACTION TIMES (G or I) *L6Z~2Vz  *L6Z~2Vz@ V As a group review isolating variables. Do some with exponents but let students @battempt to derive T from S=1/2 gt 2  themselves. Make the challenge section a part of ` the lab. *L6Z~2Vz  *L6Z~2Vz` 4 ACTIVITY 2-- SAMPLING TIRE PRESSURES (I) *L6Z~2Vz  *L6Z~2Vz@ ^ OK if you can locate enough tire pressure gauges... Do this in the student parking lot, ` not the faculty lot!! *L6Z~2Vz  *L6Z~2Vz` + ACTIVITY 3-- WEIGHING NAILS (I) *L6Z~2Vz  *L6Z~2Vz@ \ First have the students convert 750 grams to ounces (we bought pounds of nails, dont ` Fwe want to stick with the same type of unit?? Well, maybe not... *L6Z~2Vz   *L6Z~2Vz`  UNIT: 20 *L6Z~2Vz  *L6Z~2Vz` - TITLE: WORKING WITH PROBABILITIES *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ X 1. Definitions: probability, combinations, extrapolations, interpolation, sample,  Jchance, tree diagram, multiplication rule, factorial, mutually exclusive, ` independent events *L6Z~2Vz@ U 2. Find the total possible outcomes by both a tree diagram and the fundamental ` counting principle *L6Z~2Vz` ^ 3. Find the total possible outcomes when order matters using the factorial formula *L6Z~2Vz` . 4. Use a chart to find probability *L6Z~2Vz` ; 5. Compare the odds and probability of an event *L6Z~2Vz` S 6. Find the sum of 2 probabilities, probability of 2 independent events *L6Z~2Vz` 0 7. Find probability using calculator *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` , 1. ACTIVITY 1--THROWING DICE (I) *L6Z~2Vz` - Straightforward, understandable.. *L6Z~2Vz  *L6Z~2Vz` 3 ACTIVITY 2-- PREDICTING PHYSICAL TRAITS *L6Z~2Vz  *L6Z~2Vz@ Z To check our predictions students in all math classes in our school will complete a ` Ysurvey prepared by our students to examine the results from a larger sample group.. *L6Z~2Vz  *L6Z~2Vz` & ACTIVITY 3--HEADS OR TAILS *L6Z~2Vz  *L6Z~2Vz` R Go over STATEMENT OF PROBLEM section ( page 32) carefully with class.  *L6Z~2Vz`  UNIT: 21 *L6Z~2Vz  *L6Z~2Vz` 5 TITLE: USING RIGHT TRIANGLE RELATIONSHIPS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ [ 1. Definitions: parts of a triangle, right triangle, sine, cosine, tangent, interior ` $angles of a triangle equal 180 *L6Z~2Vz`L 2. Pythagorean theorem is a 2 +b 2 =c 2 *L6Z~2Vz  *L6Z~2Vz  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` C 1. Indirect measurement with mirror or measuring device  *L6Z~2Vz`  UNIT: 22 *L6Z~2Vz  *L6Z~2Vz` 0 TITLE: USING TRIGONOMETRIC FUNCTIONS *L6Z~2Vz  *L6Z~2Vz`  ESSENTIAL SKILLS: *L6Z~2Vz@ [ 1. Definitions: sine, cosine, period of amplitude, wave length, frequency of a wave, ` hertz/cycles per second *L6Z~2Vz` / 2. Graphing skills: sine and cosine *L6Z~2Vz`  3. Reading a graph *L6Z~2Vz  *L6Z~2Vz  *L6Z~2Vz`  LAB OPTIONS: *L6Z~2Vz` ; 1. Lab 2: law of cosines (NO REFERENCE IN UNIT) *L6Z~2Vz`  2. Lab 3: excellent