factor **and** best corrosion resistance of all three **classes** Reasonably high /**Volume** of welding gas passing over heating element determines welding temperature To increase temperature, reduce gas **volume** To decrease temperature, increase gas **volume**/**and** preheat starting **area** **and** rod until appears shiny **and** becomes tacky; rod held at angle of 90º to each side of base material. Too much heat in rod softens it so pressure bends rod rather than forcing it into base material; too little heat causes it to lay on **surface**/

the two prisms compare? c)Find the **volume** **and** **surface** **area** of Prism A **and** Prism B. 18 inches h 2h Prism A Prism B 18 inches 2013 - SUGGESTED PRACTICE FOR SOL 8.7A Common Errors ? Misconceptions? Students need additional practice determining **surface** **area** of a square- based pyramid. Timothy built a wooden square-based pyramid for a history **class** project on Egypt. He needs to buy enough/

to contract in **area** **and** thus to behave like a stretched elastic membrane. [insect image from http://austincoppock.com/2012/04/astrology-42-48-**surface**-tension/ ] Examples: Insects can stand on the **surface** of water, even if they are more dense than water. In a small droplet of water, the **surface** will contract until it forms the shape with the smallest **surface** **area** for its **volume**: a sphere/

involving cross-sectional **area**, **volume**, **and** related rates PASS Process Standard 1: Problem Solving NCTM Problem Solving Standard for Grades **9**-12 Determine pipe size **and** water flow rates for a water pump Determine amount of paint needed to paint a given **surface** (calculate **surface** **area**, etc) Problem solving involving **surface** **area**, ratio **and** proportions Determine the concrete reinforcements **and** spacing needed when building a concrete platform or structure **Math**-in-CTE Sample/

32 Pathway **9**: Movement……………………………………………………………………………………34 Pathway 10: Forms of Entertainment…………………………………………………………………….36 Conclusions………………………………………………………………………………………………..38 3 Introduction I Believe **Math** **Classes** Should… Train/**and** eco friendly. 1.3 Measurement **and** Geometry Know **and** use the formulas for **volume** **and** **surface** **area** 2.1 Number Sense solve problems involving addition, subtraction, multiplication, **and** division 1.1 Algebra **and** Functions write **and** solve one-step linear equations in one variable 3.1 **Math**/

**9**% African American 563.7% White 48832.2% Multiple/ No Response 1278.4% My **Class** The **Class** I observed was a high school geometry **class** made up of mostly sophomores **and** freshmen. The following lesson plans are designed for that **class**. Lesson Plan 1 Standard 8.0 Students know, derive, **and** solve problems involving the perimeter, circumference, **area**, **volume**, lateral **area**, **and** **surface** **area**/ http://www.cde.ca.gov/ci/ma/cf/documents/**math**-ch2-8-12.pdf School Information from Ed-data http://www.ed-/

/08 Online presentations for today’s **class**: –Vector Algebra **and** Calculus 2 **and** 3 Vector Algebra **and** Calculus Crib Homework 1 Homework 2 due **9**/11 Study group assignments have been made **and** are online. Recitations will be –Mondays @ 5:30pm (with /dS=ds h **Area** radius a v avg. tangential velocity = twice the avg. angular velocity about e Elemental **volume** with **surface** S Review Divergence For velocity: proportionate rate of change of **volume** of a fluid particle Gradient Magnitude **and** direction of the /

Signals are arriving by sub-**surface** ducting B. Signals are arriving by sub-**surface** ducting C. Signals are being reflected by lightning storms in your **area** C. Signals are being reflected by lightning storms in your **area** D. Signals are being refracted/Push-to-Talk (PTT) Voice-Operated Transmission (VOX) Voice-Operated Transmission (VOX) 315 Receiver Controls **and** Functions AF Gain or **Volume** AF Gain or **Volume** Controls the audio level to the speaker or headphones. Controls the audio level to the speaker or /

radius***Math**.PI; } { return radius*radius***Math**.PI; }} 42 public **class** TestCircle/**area**=" + c2.computeArea() + " base **area**=" + c2.computeArea() + " **volume**=" + c2.computeVolume()); + " **volume**=" + c2.computeVolume()); }} 53 super **and** this Keywords this can be used to refer to a variable/method in this **class**, or to call another constructor of the same **class**. “ this ” is useful in resolving naming conflict between local variables **and**/**class** Cylinder to compute the **surface** **area** of the Cylinder instead of the base **area**/

” thick pancake of same **volume**? Draw a graph of Peter’s progress. TIMSS Video Study 1 Teacher instructs students in a concept or skill. Teacher solves example problems with **class**. Students practice on their own while the teacher assists. In other words…… 133 134 Putting it all together one way Good morning **class**. Today’s objective: Find the **surface** **area** of right circular cylinders. Open/

**surface** **area** of match –Call friend function BoxSurface –Send match as argument Output **volume** of box2 Output **surface** **area** of box2 –Call friend function BoxSurface –Send box2 as argument End program EX8_07.CPP Note that in function BoxSurface –Data members accessed using instance **and** member name BoxSurface not a member of **class** CBox –Not affected by public **and**/neater, too There is actually a better way (Ch. **9**) const Objects of a **Class** Sometimes const object of a **class** is needed –A box of a standard size, for /

point rounding errors, z-values end up in different equivalence **class** “Z-fighting” occurs when two primitives have similar values in/**volumes** –What humans, etc., have –Expensive **math** (simultaneous quadratics) when clipping objects against cones **surface** Rectangular cone –Can approximate conical with rectangular “cone” (called a frustum) –Works well with a rectangular viewing window –Simultaneous linear equations for easy clipping Front **and** Back Clipping Planes, 1 **Volume** of space between front (near) **and**/

**9**-12 Determine pipe size **and** water flow rates for a water pump Problem solving involving cross-sectional **area**, **volume**, **and** related rates Determine amount of paint needed to paint a given **surface** (calculate **surface** **area**, etc) Problem solving involving **surface** **area**, ratio **and** proportions Determine the concrete reinforcements **and**/ devoted to **math** enhanced lessons (not just **math** but **math** in the context of CTE) Assume a 180 days in a school year; one hour per **class** per day Average CTE **class** time investment /

**and** even those for majors in many **areas**) use almost no mathematics in **class**. Mathematics arises almost exclusively in the lab when students have to analyze experimental data **and** then their weak **math**/students enrolled increases by 78 each year. Responses in Reform **Class** **9**. This means that for every year, the amount of/ to a boil as a function of the **volume** of water. The size of the human cranium/two variables graphically. In comparison, mathematics usually use **surface** plots. The contours (or level curves) for a/

the large piston? **Surface** Tension The tendency of the **surface** of a liquid to contract in **area** **and** thus to behave like a stretched elastic membrane. Examples: Insects can stand on the **surface** of water, even if they are more dense than water. In a small droplet of water, the **surface** will contract until it forms the shape with the smallest **surface** **area** for its **volume**: a sphere [insect/

through this problem: APPLIED CONCEPTS: **Surface** **Area** (A = L * W) **Volume** (V = L * W * H) Unit Conversion (in = ft) Critical Thinking regarding money **and** expenses POSSIBLE ADAPTATION: If the student demographic includes mostly apartment dwelling students, hide slides with landscaping materials **and**/or change them to a painting project, which would utilize **surface** **area**, **and** use flower pots to compute **volume**. PROBLEM: YOU **AND** YOUR FRIENDS ARE FIXING UP A/

dS n Curl e n Perimeter C e dsds hh dS=ds h **Area** radius a v avg. tangential velocity = twice the avg. angular velocity about e Elemental **volume** with **surface** S Review Divergence For velocity: proportionate rate of change of **volume** of a fluid particle Gradient Magnitude **and** direction of the slope in the scalar field at a point Curl For velocity: twice/

expected to (C) estimate measurements **and** use formulas to solve application problems involving lateral **and** total **surface** **area** **and** **volume**. Mrs. Lee bought a small/ ft Correct Answer - H Spring 2003 #38 (8.**9**) Measurement. The student uses indirect measurement to solve problems./**and** leaf plots,] circle graphs, bar graphs, box **and** whisker plots, histograms, **and** Venn diagrams, with **and** without the use of technology. The table below shows the number of student absences for the school year in Mr. Cruz’s **math** **classes**/

TO SHOW YOUR WORK Groups 1 **and** 7: #7 Groups 2 **and** 6: #8 Groups 3 **and** 5: #**9** Groups 4 **and** 8: #10 debrief how did/**and** laid it flat. Label the dimensions. 2. Calculate the **area** of each face: Formula Substitute the #’s Do the **math** Units 3. Find the total **area**.Basically…. **surface** **area** = **area** of base(s) + **area**/ 2 + 7x + 6 = 0 Objective Students will find **surface** **area** **and** **volume** of various geometric solids. Students will take notes, participate in **class** discussion **and** use think-pair-share. NEED TO TAKE TEST TODAY- P1/

14April 2011 Warm UP– silently please 1 ) HOMEWORK DUE NEXT **CLASS**: pg. 568: 7 – **9** pg. 548: 5, 7 2) WARM UP- Find the **surface** **area** **and** **volume** for each: Objective Students will be able to find dimensions of a solid when given the **volume** **and** find **volume** in real world applications. Homework Due TODAY Finish **Volume** **and** **Surface** **area** of Geometric Solids Problems- EVENS Include Sketch, formula substitute #’s units √ or X or/

, or evaporate. Integrated **Math** **and** Science Lesson Clear Target: I can determine factors that influence the rate of ice melting. Clear Target: I can measure liquid **volume** of ice after time for melting.. What can affect the rate of evaporation? 6.G.4 Represent three-dimensional figures using nets made up of rectangles **and** triangles, **and** use the nets to find the **surface** **area** of these figures/

normalize(look.cross(Du)); float fl = (float)(width / (2***Math**.tan((0.5*fov)***Math**.PI/180))); Vp = Vector3D.normalize(look); Vp.x = Vp./All the public variables here are ugly, but I // wanted Lights **and** **Surfaces** to be "friends" **class** Light { public static final int AMBIENT = 0; public static /**9** light 1 1 1 ambient light 1 1 1 directional -1 -2 -1 light 0.5 0.5 0.5 point -1 2 -1 **surface**/practical. Among the important results in this **area** are: Bounding **Volumes** Spatial Subdivision Light (Shadow) Buffers Lecture /

Calculates cylinder’s **Area** **and** **Volume** Returns the string CCylinder3 2002 Prentice Hall. All rights reserved. Outline 58 Test3.vb 1 Fig. 10.23: Test3.vb 2 Demonstrate polymorphism in Point-Circle-Cylinder hierarchy. 3 4 Imports System.Windows.Forms 5 6 **Class** CTest3 7 8 Shared Sub Main() **9** 10 instantiate CPoint3, CCircle3 **and** CCylinder3 objects 11 Dim point As New CPoint3(7, 11) 12/

Chapter 1: Properties of Gases Homework: Exercises (a only) : 1.4,6, **9**, 11, 14, 16, 17, 18, 21 Problems: 1.1, 3, 12/ vapor pressure of the substance, p* p = p*e Vm P/RT [1] **Math** Moment: e x = 1+ x + 1/2x 2 +…. If x<<1,.e ≈ 1/**surface** **area** » Droplet - small **volume** of liquid surrounded by vapor (+air) Pressure inside a concave **surface** (p in ) is always greater than pressure outside (p out ) » Difference depends on **surface** **area** **and** **surface** tension p in = p out + 2 /r Laplace eqn As r ∞ (flat **surface**/

membership will increase by 15% each year. What is the expected membership after three years? 3.In 1995, **9**% of adults used a computer to access the internet. In 2005, this percentage had jumped to 74%. This/in **Math** Janie’s EOG Review Packet Special Calculator Keys Cheat Sheet for Test Prep Formulas for Perimeter, **Area**, **Volume**, & **Surface** **Area** Statistics Pythagorean Theorem Number Comparisons Probability Geometry Goodies Other “**class**” **and** “student-specific” needs. Janie MacIntyres Fear Factors in **Math** Special /

03.10.2002 1 Mathematics problems from TIMSS **and** PISA: PISA (**9**) Sparen: Karina hat 1000 DM in / More time for mathematics teaching, more teacher, smaller **classes**, ... Better pre- **and** in-service-training of teachers Blum, W.; Neubrand,/want? Modellversuch Mathematik (5) **Surfaces** **and** **volumes** a) Das größte Organ /than 15 % burning. How large is a corresponding **area**? Profke, Academica VI , 28.09. - / of Rechnen und Raumlehre (arithmetic **and** theory of space) New **Math** Mapping methods in geometry teaching instead/

are meant to be a blueprint for **math** instruction that is more focused **and** coherent The focus **and** coherence in this blueprint is largely in the way the/**and** cases requiring algebraic manipulation using properties of operations. Coefficients **and** constants in these equations may be any rational numbers. Fluency Expectations 8.G.**9** When students learn to solve problems involving **volumes** of cones, cylinders, **and** spheres — together with their previous grade 7 work in angle measure, **area**, **surface** **area**, **and** **volume**/

, **Volume** = a3cubic units **Surface** **area**= 6a2 sq.units. Diagonal = √3 a units. **Area** **and** **Volume** Cylinder: Let each of base = r **and** height ( or length) = h. **Volume** = πr2h **Surface** **area** = 2 πr h sq. units Total **Surface** **Area** = 2 πr ( h+ r) units. **Area** **and** **Volume** Cone: Let radius of base = r **and** height=h, then Slant height, l = √h2 +r2 units **Volume** = 1/3 πr2h cubic units Curved **surface** **area** = πr l sq.units Total **surface** **area** = πr (l +r) **Area** **and** **Volume**/

, **Volume** = a3cubic units **Surface** **area**= 6a2 sq.units. Diagonal = √3 a units. **Area** **and** **Volume** Cylinder: Let each of base = r **and** height ( or length) = h. **Volume** = πr2h **Surface** **area** = 2 πr h sq. units Total **Surface** **Area** = 2 πr ( h+ r) units. **Area** **and** **Volume** Cone: Let radius of base = r **and** height=h, then Slant height, l = √h2 +r2 units **Volume** = 1/3 πr2h cubic units Curved **surface** **area** = πrl sq.units Total **surface** **area** = πr (l +r) **Area** **and** **Volume** Sphere/

formulae: circumference of a circle = 2πr = πd , **area** of a circle = πr 2 ; calculate: perimeters of 2D shapes, including circles; **areas** of circles **and** composite shapes; **surface** **area** **and** **volume** of spheres, pyramids, cones **and** composite solids G18 calculate arc lengths, angles **and** **areas** of sectors of circles G19 apply the concepts of congruence **and** similarity, including the relationships between lengths, **areas** **and** **volumes** in similar figures G20 know the formulae for: Pythagoras/

formulae: circumference of a circle = 2πr = πd , **area** of a circle = πr 2 ; calculate: perimeters of 2D shapes, including circles; **areas** of circles **and** composite shapes; **surface** **area** **and** **volume** of spheres, pyramids, cones **and** composite solids G18 calculate arc lengths, angles **and** **areas** of sectors of circles G19 apply the concepts of congruence **and** similarity, including the relationships between lengths, **areas** **and** **volumes** in similar figures G20 know the formulae for: Pythagoras/

**Surface** **area** of a sphere = 4πr 2 nutrients wastes Mini Lecture on Respiratory System of Insects Exoskeleton with waxy cuticle prohibits simple diffusion through epidermis No blood vessels, so no lungs Tube system that carries O 2 from **surface** to cells **and** takes up CO 2 flatworm Tracheal tube system Tracheal **volume** data Length of BeetlesTracheal **volume** (as % of body **volume**) 17mm1.**9**/ limits the body **volume** that an insect can devote to the tracheal system? Entrance Ticket for Next **Class** During the Carboniferous/

**areas** (FC.**9**) Herd animals’ diseases often infect humans Eurasian civ’s adapt Advantage vs. cultures not previously exposed (FC.**9**/**class** Classical Maya civ. (c.250 C.E.) characterized by: City-states ruled by priest-kings Major advances in astronomy, **math**, & calendars New peoples, some migrating from the north Rules tribes from N. Yucatan through Guatemala, Belize, & seeping into Honduras **and**/ different ideas **surface** when Christianity /business techniques to handle larger trade **volume**: Ger. mining boom More/

output += " **Area** is " + twoDigits.format( cylinder.getArea() ); 41 42 // get Cylinders **volume** 43 output += " **Volume** is " + twoDigits.format( cylinder.getVolume() ); 44 45 JOptionPane.showMessageDialog( null, output ); // display output 46 47 System.exit( 0 ); 48 49 } // end main 50 51 } // end **class** CylinderTest Invoke overridden getArea method. 43 **9**.6 Constructors **and** Finalizers in Subclasses Instantiating subclass object –Chain of constructor calls subclass constructor invokes superclass constructor/

output += " **Area** is " + twoDigits.format( cylinder.getArea() ); 41 42 // get Cylinders **volume** 43 output += " **Volume** is " + twoDigits.format( cylinder.getVolume() ); 44 45 JOptionPane.showMessageDialog( null, output ); // display output 46 47 System.exit( 0 ); 48 49 } // end main 50 51 } // end **class** CylinderTest Invoke overridden getArea method. 2003 Prentice Hall, Inc. All rights reserved. 41 **9**.6 Constructors **and** Finalizers in Subclasses Instantiating subclass object –Chain of/

to return the total **surface** **area** of the cylinder l The **area** method of Circle, the parent **class** of Cylinder, is no more able to do the job for Cylinder **and** needs to be overriden For use of IST410 students only Inheritance-17 Overriding l **Area** method of the Circle **class** public double **area**() { return radius*radius***Math**.PI; } l The Cylinder **class** extends Circle public **class** Cylinder extends Circle {...... } l/

. Please see me privately after **class**, or at my office. /**9**.81 ms- 2 we can express: Day Three Where: gravity is everywhere normal to **surfaces** of constant geopotential **and** is proportional in size to the vectoral gradient of geopotential! Day Three we have many ways of expressing apparent gravity in the equation of motion: Day Three The Pressure Gradient Force Consider a unit **volume**/out the “j” **and** “k” equations?) Now in spherical coords, meteorology defines: Day Five **Math** meaning meteorology /

to know **and** do for each grade level in **math** **and** English language /**Area** Find **area** of quadrilaterals Find **area** of plane figures **and** **surface** **area** of solid figures (quadrilaterals) Describe the changes in **surface** **area**, **area**, **and** **volume** when the figure is changed in some way (e.g., scale drawings) Ratio & Proportion Solve problems that use proportional reasoning with ratios of length **and** **area** Solve Linear Equations Solve a linear equation to find a missing attribute given the **area**, **surface** **area**, or **volume** **and**/

) Measurement. The student uses procedures to determine measures of solids. The student is expected to (C) estimate answers **and** use formulas to solve application problems involving **surface** **area** **and** **volume**. Deb has a rectangular storage box with a height of 18 inches, as shown below. If Deb cuts off /the CD? F$4.00 G$6.40 H$**9**.60 J$10.40 Correct Answer - F April 2006 #34 Mrs. Díaz told her **math** **class** that a particular rectangle has a perimeter of 36 units **and** an **area** of 65 square units. Which of the following /

solids. The student is expected to (C) estimate answers **and** use formulas to solve application problems involving **surface** **area** **and** **volume**. Mrs. Lee bought a small rectangular box that contains /ft H85 ft J110 ft Correct Answer - H Spring 2003 #38 (8.**9**) Measurement. The student uses indirect measurement to solve problems. The student is expected/ bar graphs, **and** histograms, with **and** without technology. The table below shows the number of student absences for the school year in Mr. Cruz’s **math** **classes**. Which of /

**and** (3,**9**), which are not on a straight line. (8.F.A.3) (DOK 1,2) Geometry Solve real-world **and** mathematical problems involving **area**, **surface** **area**, **and** **volume**. (6.G.A) 1.Find the **area** of right triangles, other triangles, special quadrilaterals, **and** polygons by composing into rectangles or decomposing into triangles **and**/the two variables. For example, collect data from students in your **class** on whether or not they have a curfew on school nights **and** whether or not they have assigned chores at home. Is there /

Solving equations: |x - 5| = 3 Solving inequalities: See **math** strategySee **math** strategy Graphs of functions: See **math** strategySee **math** strategy Arc Definition: An unbroken part of the circumference of a circle/ quadratic formula, combinations, permutations, equation of a line or circle, **surface** **area** **and** **volume** of a cone, pyramid, or sphere. If one of these equations/student choices of school **classes** or sport activities, **and** overlapping properties of various real numbers 3 7 45 68 **9** Football Soccer Baseball /

(6 th -Algebra) HEADS UP daily **math** workouts (1 st – 4 th ) HEADS UP daily **math** workouts (1 st – 4 th /**Surface** **Area** 27) **Volume** 28) Pythagorean Theorem DATA&PROBABILITY 29) Statistics 30) Probability REASONING & PROOF 31) Problem-solving 1 32) Problem-solving 2 **9** th **and** 10 th Grade concepts One sheet goes home each week with other assigned homework. One sheet goes home each week with other assigned homework. Students bring their completed worksheets to **class**. Students bring their completed worksheets to **class**/

.6 BENCHMARK 3 rd Quarter **Math** 6 Measurement 6.**9** Coordinate Plane 6.11 Geometry 6.13, 6.12, **and** 6.10 4 th Quarter **Math** 6 **Volume** **and** **Surface** **Area** 6.10d Probability **and** Statistics 6.16, 6.15, **and** 6.14 SOLs for **Math** 6 Number **and** Number Sense Focus: Relationships among Fractions, Decimals, **and** Percents 6.1The student will describe **and** compare data, using ratios, **and** will use appropriate notations, such as/

**and** width of the door to the nearest inch **and** compute the **area** of the door. Use translations, reflections, **and** rotations to establish congruency **and** understand symmetries. Geometry **and** Measurement 5 th Grade Describe, classify, **and** draw representations of three-dimensional figures. Determine the **area** of triangles **and** quadrilaterals; determine the **surface** **area** **and** **volume**/**and** the number that is 100 more than 382. For example: If there are 17 students in the **class** **and**/**9**=**9**/using mental **math** or paper **and** pencil. /

**Math**/ in our **class** How old are most students in your **class**? How do you know? 7 th Grade KAAP (M-7.4) Solve real-world **and** mathematical problems/involving **volume** **and** **surface** **area** of three dimensional objects composed of cubes **and** right prisms. 1.Define **volume** **and** **surface** **area**. 2.Use multiple representations of cubes **and** right prisms. Activities 7 th Grade Define **volume**. “**Volume** /party with candy. If the hat is **9** inches tall **and** has a radius of 3 inches, calculate the **volume** in square inches. To Get Resources 1/

. Based on the latest census, there are **9**,860 students in a population of 62,400/the customers final cost? Explain how you can use mental **math** to calculate the refund. Solution for Day 146 After you /**and** 1 on its side What is the **volume** of wasted space? 870 cu in of wasted space By how much could you adjust the distance of the shelf from the ceiling to reduce the amount of unused space? Put the shelf 11 inches from the ceiling so there is only ½ inch of clearance. School Day 171 The **surface** **area**/

**Volume**, Density **and** **Surface** **Area** of a Sphere Everyone should have their own piece of paper to write down each question. Show all work on your paper, they will be collected at the end of **class** **and** counted as a participation grade for today. Participation: If at any time you need to return to the game board click the “I <3 **Math**/return Return to board **Volume** for 40pts Find the **volume** of the regular octagonal pyramid. a = **9** cm s = 15cm 1:40 32 cm V= BH 1:40 ans **Volume** for 40ptsAnswer 32 cm n = 8 a = **9** cm s = /

uses procedures to determine measures of three-dimensional figures. The student is expected to (C) estimate measurements **and** use formulas to solve application problems involving lateral **and** total **surface** **area** **and** **volume**. Deb has a rectangular storage box with a height of 18 inches, as shown below. If Deb/CD? F$4.00 G$6.40 H$**9**.60 J$10.40 Correct Answer - F April 2006 #34 Mrs. Díaz told her **math** **class** that a particular rectangle has a perimeter of 36 units **and** an **area** of 65 square units. Which of the following/

quiz 4) complete the variation retake * must be done at the end of **class** 5) Complete **math** workbook page 83 *do for homework if needed 6) If done with everything / on Monday 3/2 Quiz over **Area** **and** Dimensions 3/6 Benchmark on Friday 3/13 3- Objective 4- lesson *Changing Dimensions HW p. 623 #1-**9** **for #s 4 & 8-/**Surface** **area** ) 3 x 4 x 5 = 60 60 x 25 3 = 937,500 ft 3 ( **volume** ) EXIT TICKET Discuss with your partner Why do we use an exponent of 3 for **volume**? THURSDAY: BELL WORK *SHOW WORK Use notebook paper **and**/

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