Math+8+AB+Second+Quarter

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

October 18, 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 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.

October 19, 2012

 * //**Bell Ringer**//: Work the following on a separate piece of paper:
 * 1) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20a%5E%7B2%7D%5Ccdot%20a%5E%7B-3%7D]]
 * 2) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20%5Cfrac%7Bb%5E%7B4%7D%5Ccdot%20c%5E%7B-2%7D%7D%7Bc%5E%7B3%7D%5Ccdot%20b%5E%7B5%7D%7D]]
 * //**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.

October 22, 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]]
 * 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
 * //**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 23, 2012

 * //**Bell Ringer**//: Simplify each of the following.
 * 1) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%205-(7%5Ccdot%203+2%5E%7B3%7D)]]
 * 2) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%2013+2(7%5E%7B2%7D+1)]]
 * 3) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%208%5Ccdot%205+(7-3)%5E%7B2%7D-9]]
 * //**Materials**//: Math binder, 2.2 Proof of Pythagorean Theorem
 * //**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, 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.

October 25, 2012

 * //**Bell Ringer**//: Copy and answer each of the following.
 * 1) What do you call the longest side of a right triangle?
 * 2) How do you know which sides of a right triangle are the legs?
 * 3) What are the order of operations?
 * 4) What does it mean to square a number?
 * 5) What does it mean to find the square root of a number?
 * 6) List the first twelve perfect squares and their roots.
 * //**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.

October 26, 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.

October 30, 2012

 * //**Bell Ringer**//: Write me a letter, at least a half page, about how your year has been going so far. Include how you feel about your progress in this class, your goal for this class, and what makes learning new things easier for you. Also include one interesting story/fact about yourself and halloween. :)
 * //**Materials**//: Math binder, calculator, ruler, 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
 * //**Lesson**//: Discover how the converse of the Pythagorean Theorem works and use it to verify if a triangle is a right triangle.

October 31, 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.

November 1, 2012

 * //**Bell Ringer**//: Convert the following numbers to scientific notation. Use 4 significant digits.
 * 1) 105600000000000000000
 * 2) 0.000000000000004759
 * 3) 2007000000000000
 * //**Materials**//: Math binder, calculator, 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, 2012

 * //**Bell Ringer**//: List the first twelve perfect squares and their square roots.
 * //**Materials**//: Math binder, calculators, *2.7 Test Review: Pythagorean Theorem and Volumes
 * //**Objective**//: SWBAT review calculating distances with Pythagorean Theorem and calculating volumes of cones, cylinders, and spheres.
 * //**CCSSM**//: 8.G.9
 * //**Lesson**//: Test Review
 * //**Homework**//: Be studying for test!!

November 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 review calculating distances with Pythagorean Theorem and calculating volumes of cones, cylinders, and spheres.
 * //**CCSSM**//: 8.G.9
 * //**Lesson**//: Test Review
 * //**Homework**//: Be studying for test!!

November 6 & 7, 2012

 * //**Bell Ringer**//: Post any final questions. Clear desk of everything but pencil and calculator.
 * //**Materials**//: Math binder, calculator, *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, 2012

 * //**Bell Ringer**//: Get materials. Have desk clear of all but those three things.
 * //**Materials**//: Math binder, sleeve, marker, cloth
 * //**Objective**//: SWBAT plot points on a coordinate grid and begin transforming them.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Review the coordinate grid and plotting points. Begin discussion of transformations.

November 9, 2012

 * //**Bell Ringer**//: Simplify the following exponetial expressions with only positive exponents.
 * 1) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20a%5E%7B2%7D%5Ccdot%20a%5E%7B-3%7D width="56" height="18"]]
 * 2) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20%5Cfrac%7Bb%5E%7B4%7D%5Ccdot%20c%5E%7B-2%7D%7D%7Bc%5E%7B3%7D%5Ccdot%20b%5E%7B5%7D%7D width="43" height="32"]]
 * 3) [[image:http://latex.codecogs.com/svg.latex?%5CLARGE%20%5Cinline%20a%5E%7B-2%7D%20a%5E%7B5%7D%20a%5E%7B-10%7D]]
 * 4) [[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]]
 * //**Materials**//: Math binder, clicker, *2.9 Intro to Transformations
 * //**Objective**//: SWBAT identify and verify reflections, rotations, and translations 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, 2012

 * //**Bell Ringer**//: Pick up Minute 8 from the back podium and begin working.
 * //**Materials**//: Math binder, *2.12 Practice Transformations
 * //**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.

November 15, 2012

 * //**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.

November 16, 2012

 * //**Bell Ringer**//: Minute 9
 * //**Materials**//: Math binder, *2.13 Reflection Coordinate Rules
 * //**Objective**//: SWBAT determine the points of a reflected figure with or without a coordinate grid.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Exploring patterns when reflecting objects over the x- and y-axis.

November 19, 2012

 * //**Bell Ringer**//: Copy and answer the following.
 * 1) The Gigantosaurus weighs [[image:http://latex.codecogs.com/gif.latex?%5Cinline%202.3%5Ctimes%2010%5E%7B4%7D]] pounds. How many pounds is that?
 * 2) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%204(0.6+0.6)]]
 * 3) Write 0.0059 in scientific notation.
 * 4) Rewrite [[image:http://latex.codecogs.com/svg.latex?%5Cinline%20a%5Ccdot%20a%5Ccdot%20b%5Ccdot%20c%5Ccdot%20a%5Ccdot%20b]] using exponents.
 * 5) [[image:http://latex.codecogs.com/svg.latex?%5Cinline%20%5Cfrac%7B7%7D%7B20%7D=]]? %
 * 6) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20%5Cfrac%7B8%5E%7B8%7D%7D%7B8%5E%7B3%7D%7D=]]
 * 7) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20(8-6)%5E%7B-2%7D=]]
 * 8) True or False: [[image:http://latex.codecogs.com/gif.latex?%5Cinline%2024=2%5E%7B3%7D%5Ccdot%203]]
 * 9) If a = 10 and b = 2, then [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20%5Cfrac%7Ba%7D%7Bb%7D%5Ccdot%20b=]]?
 * 10) All of the following mean to multiply except: (a) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%206x]], (b) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%206(x)]], (c) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20%5Cfrac%7Bx%7D%7B6%7D]], (d) [[image:http://latex.codecogs.com/gif.latex?%5Cinline%20(6)(x)]]
 * //**Materials**//: Math binder, 2.13 Reflection Coordinate Rules
 * //**Objective**//: SWBAT reflect figures on a grid based on the coordinates.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Practice reflecting figures with and without a coordinate grid.

November 20, 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.

November 26, 2012

 * //**Materials**//: Math binder, 2.14 Translation Coordinate Rules
 * //**Objective**//: SWBAT determine the points of a reflected figure with or without a coordinate grid.
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * //**Lesson**//: Exploring patterns when reflecting objects over the x- and y-axis.

November 27, 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
 * //**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * **QUIZ **

November 28, 2012

 * //**Bell Ringer**//: Copy and answer the following:
 * 1) 2 + 3(8 / 4 * 8)
 * 2) 6 - 9(4 + 7 + -6 + 3)5
 * 3) -1 + 2 + -3 + 4 + -5 + 6 + -7 + 8 + -9
 * //**Materials**//: Math binder, ruler, *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
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Lesson**//: Explore how to rotate a figure about the origin and its effect on the coordinates.'
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Homework**//: Finish 2.16 if not completed in class. Due next class.

<span style="font-family: Arial,Helvetica,sans-serif;">November 29, 2012
= =
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Bell Ringer**//: Post questions over the homework on the parking lot. Have 2.16 out on your desk.
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Materials**//: Math binder, *2.17 Dilation Coordinate Rules
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**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.
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Lesson**//: Explore how to dilate a figure with a given scale factor and evaluate its effects on the coordinates.

<span style="font-family: Arial,Helvetica,sans-serif;">November 30, 2012

 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Bell Ringer**//: FREEBIE!
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Materials**//: Math binder, 2.17 Dilation Coordinate Rules
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**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.
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Lesson**//: Explore how to dilate a figure with a given scale factor and evaluate its effects on the coordinates.

<span style="font-family: Arial,Helvetica,sans-serif;">December 3, 2012

 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Bell Ringer**//:
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Materials**//: Math binder, *2.18 Sequences
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Objective**//: SWBAT determine the sequences of transformations between two figures on a grid and apply a sequence of transformations to a figure to create a new figure.
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Lesson**//: Sequences of transformations

<span style="font-family: Arial,Helvetica,sans-serif;">December 4, 2012

 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Bell Ringer**//: Check the missing work wall for any missing work. Have pages 2.13 through 2.17 on your desk.
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Materials**//: Math binder, 2.18 Sequences
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Objective**//: SWBAT determine the sequences of transformations between two figures on a grid and apply a sequence of transformations to a figure to create a new figure.
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Lesson**//: Sequences of transformations

<span style="font-family: Arial,Helvetica,sans-serif;">December 5 & 6, 2012

 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Bell Ringer**//: FREEBIE!
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Materials**//: Math binder, *2.19 Test Review/Practice
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Objective**//: SWBAT
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Lesson**//: Test Review/Practice
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**Homework**//: Finish 2.19 and STUDY for test!

<span style="font-family: Arial,Helvetica,sans-serif;">December 7 & 10, 2012

 * //<span style="font-family: Arial,Helvetica,sans-serif;">**Materials** //<span style="font-family: Arial,Helvetica,sans-serif;">: Math binder, *2.20 Test: Transformations
 * <span style="font-family: Arial,Helvetica,sans-serif;">//**CCSSM**//: 8.G.1, 8.G.2, 8.G.3, 8.G.4
 * **<span style="font-family: Arial,Helvetica,sans-serif;">2.20 TEST: Transformations **

<span style="font-family: Arial,Helvetica,sans-serif;">December 11 - 14, 2012

 * //<span style="font-family: Arial,Helvetica,sans-serif;">**Materials** //<span style="font-family: Arial,Helvetica,sans-serif;">: Math binder, calculator, clicker, Fall 2012 Semester Test Review
 * //**<span style="font-family: Arial,Helvetica,sans-serif;">[[file:Fall 2012 ST Review.pdf|SEMESTER TEST REVIEW]] **//