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Day two of lesson:
Students will continue to solve systems of linear equations by the elimination method by adding or subtracting the equations and learn to multiply one equation by a constant to manipulate the coefficients of the variables in order to eliminate a variable. Students will play a game with randomly generated equations to determine if they able to eliminate a variable by adding or subtracting two equations, or determine if they need to manipulate an equation by multiplication.
Lesson guidelines: http://auhsdmath.pbworks.com/w/file/fetch/60768921/4_0Teach_Dir_SystemsB%281%29.pdf
Stinky feet handout: http://auhsdmath.pbworks.com/w/file/fetch/60768923/4_1_Stinky_FeetII%281%29.pdf
The Eliminator II handout: http://auhsdmath.pbworks.com/w/file/fetch/60768925/4_2The_EliminatorII%281%29.pdf
The elimination slider II handout: http://auhsdmath.pbworks.com/w/file/fetch/60768926/4_3Elmination_SliderII%281%29.pdf
Equation charades lesson: http://auhsdmath.pbworks.com/w/file/fetch/60111982/TD_day%209_solv_equ%283%29.pdf
Equation charades rules: http://auhsdmath.pbworks.com/w/file/fetch/60111980/9.2_Equation%20Charades%20Rules%283%29.pdf
Equation charades practice: http://auhsdmath.pbworks.com/w/file/fetch/60111981/9.3_Solv_Equ%20Charades%20Practice%283%29.pdf
Lesson extension: http://auhsdmath.pbworks.com/w/file/fetch/60111610/TD_Day%205_solv_lin_equ_N%284%29.pdf
Lesson extension #2: http://auhsdmath.pbworks.com/w/file/fetch/60111893/TD_Day6_solv_lin_equ_N%283%29.pdf
Lesson extension #3: http://auhsdmath.pbworks.com/w/file/60111969/TD_Day_7_solv_lin_equ_N%283%29.pdf
Another lesson for adding integers. In this lesson, students derive the rules for adding and subtracting, and involves some deeper level thinking questions in the handout. Tiles are recommended for the lesson.
Lesson Guideline: http://auhsdmath.pbworks.com/w/file/fetch/60111518/4_0%20Derive%20Rules%20Add%5Bk%5D%283%29.pdf
Handout: http://auhsdmath.pbworks.com/w/file/fetch/60111519/4_1%20DerivingRulesAdd%283%29.pdf
Another lesson (see link below), this one resembling a game of charades, and requiring numerous whiteboards for the students. If the materials are available, this is a great second-day lesson to piggy back off the lesson linked in the main topic.
Lesson Guideline: http://auhsdmath.pbworks.com/w/file/fetch/60111510/3_0%20Add%20integers-charades%5Bk%5D%283%29.pdf
Handout: http://auhsdmath.pbworks.com/w/file/fetch/60111512/3_1%20Adding%20integers%20with%20tiles%283%29.pdf
I explain this concept using the attached powerpoint lesson (isosceles and equilateral triangles) in slide 4.
Powerpoint lesson involving slides of NYC (overhead views) and a map of the streets in which I got lost by assuming the freeway was perpendicular to the exit streets.
Powerpoint Lesson w/ rainbow slides. It’s a little tricky tying in the Alternate Interior Angles and parallel line connection, but still worth pointing out due the learning opportunity for students to see the relationship between angles, refraction/reflection, and rainbows.
Slides 3 and 4 refer to the Lawyer reasoning (deductive reasoning)- a pic from “My Cousin Vinny” (if time permits show a YouTube clip of Joe Pesci questioning a witness). Pic 4 is an interrogation scene from “Breaking Bad” when Hank interrogates Mike. Mike is too smart, however, and doesn’t give into any of Hank’s questioning tactics.
Powerpoint for lesson on inductive reasoning. In slide 5 I explain the cop example. In slide 6 I explain that if the cafeteria served Macaroni and Cheese every Friday for the past month, you could inductively reason that they’ll serve it the following Friday
Few more…
1. Electronic communication
Most radio communication is based on the use of combinations of sines and cosine waves.2. Thermal analysis
The heat equation is used to model how things get hot (electronics, spacecraft, ovens, etc). This equation is usually solved using sums of sines and cosines.3. Signal Processing
The whole area of digital signal processing, which is used for HDTV and digital audio, is based on using sums of sines and cosines.
4. Geology
Earthquakes are modeled using the wave equation, which is frequently solved using sums of sines and cosines.
5. Building design
Buildings need to be designed to resist wind and earthquakes. The effect of waves on buildings is often modeled using sines and cosines to simulate wind and earth motion. These simulations determine how the buildings oscillate, which is also modeled by sines and cosines.
