Math+8+Second+Quarter

// **SWBAT means Students Will Be Able To //

October 18 & 19, 2012

 * //**Bell Ringer**//: Have Minute 7 out and completed to review in class. Copy down the following definitions in your vocabulary section of your binder.
 * __conjecture__: a guess about a pattern or relationship based on observations
 * __hypotenuse__: the side of a right triangle that is opposite the right right angle; the longest side of a right triangle
 * __irrational number__: a number that cannot be written as a fraction with a numerator and a denominator that are integers; the decimal representation of an irrational number never repeats and never terminates
 * __legs__: the sides of a right triangle that are adjacent to the right angle
 * __rational number__: a number that can be written as a fraction with a numerator and a denominator that are integers; the decimal representation of a rational number either repeats or terminates
 * __real numbers__: the set of all rational and irrational numbers
 * __positive square root__: the positive square root of a number is the side length of a square that has that number as its area
 * //**Materials**//: Math binder, *2.1 Conjecture of Pythagorean Theorem
 * //**Objective**//: SWBAT make a conjecture about the relationship between the area of the squares on the legs of a right triangle compared to the area of the square on the hypotenuse of a right triangle.
 * //**CCSSM**//: 8.G.6, 8.G.7, 8.G.8
 * //**Lesson**//: Discovering the conjecture of the Pythagorean Theorem.
 * //**Homework**//: Finish 2.1 if not completed in class.

October 22 & 23, 2012

 * //**Bell Ringer**//: Simplify the following exponential expression with only positive exponents.
 * 1) [[image:http://latex.codecogs.com/svg.latex?%5CLARGE%20%5Cinline%20a%5E%7B-2%7D%20a%5E%7B5%7D%20a%5E%7B-10%7D]]
 * 2) [[image:http://latex.codecogs.com/svg.latex?%5CLARGE%20%5Cinline%20%5Cfrac%7Bb%5E%7B7%7D%5Ccdot%20c%5E%7B-3%7D%7D%7Bc%5E%7B4%7D%5Ccdot%20b%5E%7B-9%7D%7D width="51" height="38"]]
 * 3) Explain how to find the side length of a square when given the area of the square.
 * //**Materials**//: Math binder, 2.1 Conjecture of Pythagorean Theorem, *2.2 Proof of Pythagorean Theorem
 * //**Homework Discussion**//: Discuss/answer parking lot questions. Turn in 2.1 before the end of class.
 * //**Objective**//: SWBAT explain a geometric proof of the Pythagorean Theorem.
 * //**CCSSM**//: 8.G.6, 8.G.7, 8.G.8
 * //**Lesson**//: Using pythagorean puzzle pieces to create and explain a proof for the Pythagorean Theorem.

October 24 & 25, 2012

 * //**Bell Ringer**//: Copy and answer each of the following.
 * 1) What are the sides of the triangle that form a right angle called?
 * 2) What is the hypotenuse of a right triangle?
 * 3) How do you find the side length of a square when given the area of the square?
 * 4) What does it mean to square a number?
 * 5) What is the square root of a number?
 * 6) List the first twelve perfect squares.
 * //**Materials**//: Math binder, Calculators, *2.3 Practice Using Pythagorean Theorem
 * //**Objective**//: SWBAT use the equation of pythagorean theorem to solve for missing side lengths of right triangles.
 * //**CCSSM**//: 8.G.6, 8.G.7, 8.G.8
 * //**Lesson**//: Practice using the pythagorean theorem to solve for missing side lengths.
 * //**Homework**//: Finish 2.3 if not completed in class. Due next class.

October 26 & 30, 2012

 * //**Bell Ringer**//: Post any questions over the material about pythagorean theorem. Copy and answer the following:
 * 1) What is the length of the missing side if a leg is 5 cm and the hypotenuse is 8 cm?
 * 2) What is the length of the missing side if the legs are 3 mm and 7 mm?
 * 3) What is the hypotenuse?
 * 4) What are the legs of a right triangle?
 * 5) Explain how area and side length relate to squared numbers and square roots.
 * //**Materials**//: Math binder, calculators, *2.4 Quiz, *2.5 Converse of Pythagorean Theorem
 * //**Objective**//: SWBAT verify if a triangle is a right triangle by using the converse of the Pythagorean Theorem.
 * //**CCSSM**//: 8.G.6, 8.G.7, 8.G.8
 * **2.4 QUIZ**
 * //**Lesson**//: Discover how the converse of the Pythagorean Theorem works and use it to verify if a triangle is a right triangle.
 * //**Homework**//: Finish 2.5 if not completed in class. Due next class.

October 31 & November 1, 2012

 * //**Bell Ringer**//: Convert the following numbers to scientific notation. Use 4 significant digits.
 * 1) 175932400000000000
 * 2) 0.0000000000000000123456
 * 3) 1023405687000000000000
 * //**Materials**//: Math binder, calculator, clicker, *2.6 Volumes of Cones, Cylinders, and Spheres
 * //**Objective**//: SWBAT calculate the volume of spheres, cylinders, and cones.
 * //**CCSSM**//: 8.G.9
 * //**Lesson**//: Use formulas to find volumes of cones, cylinders, and spheres with and without a context.
 * //**Homework**//: Finish 2.6 if not completed in class. Due next class.

November 2 & 5, 2012

 * //**Bell Ringer**//: Verify if the following are right triangle given these side lengths.
 * 3, 5, 7
 * 9, 12, 15
 * 7, 25, 24
 * 1) 10, 5, 6
 * //**Materials**//: Math binder, calculators, *2.7 Test Review: Pythagorean Theorem and Volumes
 * //**Objective**//: SWBAT
 * //**CCSSM**//: 8.G.9
 * //**Lesson**//: Review for test.
 * //**Homework**//: Finish 2.7 if not completed in class. Due next class. Study for test!!

November 6 & 7, 2012

 * //**Bell Ringer**//: Post any final questions. Clear desk of everything but pencil and calculator.
 * //**Materials**//: Math binder, *2.8 Test: Pythagorean Theorem and Volumes
 * //**CCSSM**//: 8.G.6, 8.G.7, 8.G.8, 8.G.9
 * **2.8 TEST**

November 8 & 9, 2012

 * //**Bell Ringer**//: Get materials and have out on your desk. Be ready to begin class.
 * //**Materials**//: Math binder, clicker, *2.9 Intro to Transformations, *IHWH Coordinates
 * //**Objective**//: SWBAT recognize and verify transformations of 2D figures.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Introduction to Transformations

November 12 & 13, 2012

 * //**Bell Ringer**//: Have materials on desk and pencils ready.
 * //**Materials**//: Math binder, *2.10 Patterns of Transformations
 * //**Objective**//: SWBAT explore effects of sequences of transformations.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Play Shape Mods online game to experiments and explore sequences of transformations.

November 14 & 15, 2012

 * //**Bell Ringer**//: Pick up Minute 8 from the back podium and begin working.
 * //**Materials**//: Math binder, *2.11 Quiz, *2.12 Practice Transformations
 * **2.11 QUIZ**
 * //**Objective**//: SWBAT transform 2D figures on a coordinate grid.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Practice transforming figures on paper.
 * //**Homework**//: Complete the reflection on the back of 2.12. Due next class.

November 16 & 19, 2012

 * //**Bell Ringer**//: Copy the problems and solutions. Box your answer.
 * 1) Is square root of 8 closer to 2 or 3?
 * 2) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%208%5E%7B-2%7D]]
 * 3) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%20%5Cfrac%7B7%5E%7B8%7D%7D%7B7%5E%7B6%7D%7D]]
 * 4) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%204.068%5Ctimes%2010%5E%7B2%7D]]
 * 5) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%2046.8%5Ctimes%2010%5E%7B-2%7D]]
 * 6) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%202(2%5Ccdot%202)%5E%7B2%7D]]
 * 7) If a = 2 and b = 3, then does ab = ba?
 * 8) Correctly write [[image:http://latex.codecogs.com/svg.latex?%5Cinline%2036.2%5Ctimes%2010%5E%7B3%7D]] in scientific notation.
 * 9) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%20%5Cfrac%7B12%7D%7B25%7D=]]_%
 * 10) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%207(%5Cfrac%7B1%7D%7B2%7D+%5Cfrac%7B1%7D%7B2%7D%20)]]
 * 11) What is the sum of the first 5 prime numbers?
 * //**Materials**//: Math binder, *2.13 Reflection Coordinate Rules
 * //**Objective**//: SWBAT use coordinates to reflect a figure across either the x- or y-axis.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Explore how to reflect a figure based on the coordinates alone to discover the rules for reflecting over the x- and y-axis.
 * //**Homework**//: Finish 2.13 if not completed in class. Due next class.

November 20 & 26, 2012

 * //**Bell Ringer**//: COPY and answer the following.
 * 1) Order the integers {-10, -25, 25, 10, -50} from least to greatest.
 * 2) [[image:http://latex.codecogs.com/gif.latex?%5Cfrac%7B9%5E%7B5%7D%7D%7B9%5E%7B3%7D%7D]]
 * 3) What is the area and perimeter of a rectangle with dimensions 10 inches by 15 inches?
 * 4) [[image:http://latex.codecogs.com/gif.latex?-2%5Ccdot%20-3]]
 * 5) [[image:http://latex.codecogs.com/gif.latex?-9(4+2+3)]]
 * 6) [[image:http://latex.codecogs.com/gif.latex?-2+-3]]
 * 7) [[image:http://latex.codecogs.com/gif.latex?%5Cfrac%7B48%7D%7B200%7D=]] ? %
 * 8) Compare each of the following sets of numbers using <, >, or =.
 * 3 and -6,
 * -5 and -3,
 * 0 and -8
 * 1) Replace the variables with the numbers 1, 2, 3, and 4 to make the equation true.
 * [[image:http://latex.codecogs.com/gif.latex?a%5Ccdot%20b+c-d=10]]
 * //**Materials**//: Math binder, *2.14 Translation Coordinate Rules
 * //**Objective**//: SWBAT use coordinates to translate a figure with or without a coordinate grid.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Explore how to translate a figure using just the coordinates.
 * //**Homework**//: Finish 2.14 if not completed in class. Due next class.

November 27 & 28, 2012

 * //**Bell Ringer**//: COPY and answer the following:
 * 1) When using coordinates only, explain how to determine the points of a reflected image.
 * 2) When using coordinates only, explain how to determine the points of a translated image.
 * 3) When reflecting and translating a figure, what is true about the size of the original and image?
 * //**Materials**//: Math binder, *2.15 Quiz: Reflections and Translations, *2.16 Rotation Coordinate Rules
 * //**Objective**//: SWBAT use the coordinates of a figure to rotate it about the origin.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Explore how to rotate a figure about the origin and its effect on the coordinates.
 * //**Homework**//: Finish 2.16 if not completed in class. Due next class.

November 29 & 30, 2012

 * //**Bell Ringer**//: Park any questions in the parking lot over yesterday's lesson. Have 2.16 on your desk and ready to discuss.
 * //**Materials**//: Math binder, *2.17 Dilation Coordinate Rules
 * //**Objective**//: SWBAT dilate a figure on a coordinate grid given a scale factor and determine the coordinates of a dilated figure with and without a coordinate grid.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Explore how to dilate a figure with a given scale factor and evaluate its effects on the coordinates.
 * //**Homework**//: Finish 2.17 if not completed in class. Due next class.

December 3 & 4, 2012

 * //**Bell Ringer**//: Copy and answer the following.
 * 1) Explain how to reflect a figure over the x- and y-axis using only coordinates.
 * 2) Explain how to translate a figure left, right, up, and down using only coordinates.
 * 3) Explain how to rotate a figure 90 degrees, 180 degrees, and 270 degrees clockwise using only coordinates.
 * //**Materials**//: Math binder, *2.18 Transformation Sequences
 * //**Objective**//: SWBAT perform a sequence of transformations on a figure and determine a sequence of transformations used to transform one figure to another on a coordinate grid.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Sequences of transformations
 * //**Homework**//: Finish 2.18 if not completed in class. Due next class.

December 5 & 6, 2012

 * //**Bell Ringer**//: FREEBIE!
 * //**Materials**//: Math binder, *2.19 Test Review/Practice
 * //**Objective**//: SWBAT review and practice performing transformations on a grid and by coordinates only.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Test Review/Practice
 * //**Homework**//: Finish 2.19 and STUDY for test!

December 7 & 10, 2012

 * //**Materials**//: Math binder, *2.20 Test: Transformations
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * **2.20 TEST: Transformations**

December 11 - 14, 2012

 * //**Materials**//: Math binder, calculator, clicker, Fall 2012 Semester Test Review
 * //**[[file:Fall 2012 ST Review.pdf|SEMESTER TEST REVIEW]]**//