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SUBJECT: DAY: 8th PRE-ALGEBRA MONDAY, MAY 1 OBJECTIVES: UNIT 4 TEST ASSIGNMENT: Read and Complete Module 12 lead-in pages 372-374 SUBJECT: DAY: 7th MATH MONDAY, MAY 1 OBJECTIVES: Staying with Mr. Sebern SUBJECT: DAY: ALGEBRA I MONDAY, MAY 1 OBJECTIVE(S): Lesson 10-3 - Solve quadratic equations by finding the square root - Solve quadratic equations by completing the square ALIGNED TO STATE STANDARD: 9-12.A.SSE.3, 9-12.F.BF.3, 9-12.F.IF.8 BELL RINGER: Chapter 9 Test results TEACHING: Lesson 10-3 “Solving Quadratic Equations by Completing the Square” pp. 539-544 GUIDED PRACTICE: Demonstrate the idea of taking the square root of both sides of an equation to solve for a variable. Show students how to set up the process and flow the values into the squared binomial. Remember to keep the equation balanced. x2 will have two solutions. DO: Practice with 4-14 ASSIGNMENT: 29-40, and 54-55 HW Check and Quiz. SUBJECT: DAY: ALGEBRA II MONDAY, MAY 1 OBJECTIVE(S): Lesson 13-2 (Day 1) - Change radian measures to degree measures & vice versa - Identify coterminal angles ALIGNED TO STATE STANDARD: 9-12.G.SRT.6, 9-12.F.TF.1, and 9-12.F.TF.2 BELL RINGER: HW Quiz Lesson 13-1 TEACHING: Lesson 13-2 “Angles and Angle Measure” pp. 709-713 GUIDED PRACTICE: In geometry and especially TRIG, two methods of measuring angles is evident, degrees and radians. Our calculators are equipped to use both, but we must be careful not to mix the two in our calculations. Explain the meaning of a “radian” which is the measure of an angle whose intercepted arc on a unit circle is exactly 1 unit. Show this on Promethean. Discuss how to read angles and proper rotation in a counter-clockwise motion, starting at the 3 O’Clock position as “0”. ASSIGNMENT: 2-18 (Even) (HW Check) SUBJECT: DAY: PRE-CALCULUS MONDAY, MAY 1 OBJECTIVE(S): Lesson 15-1 -Calculate limits if polynomial and rational functions algebraically -Evaluate limits of functions using a calculatior ALIGNED TO STATE STANDARD: 9-12.A.4.5A BELL RINGER: Test Results (Fran) TEACHING: Lesson 15-1 “Limits” pp. 941-950 GUIDED DISCUSSION: This is Calculus. Here we explore the values of functions as they approach, but may not hit a certain value. We need to assess the values of the function as we incrementally approach that value from both directions to determine that “approximate value” at a given point. We need to “factor” polynomials and cancel whenever possible to eliminate zeros in the denominator. DO: 5-10 in class ASSIGNMENT: 12-32 even (HW Check) SUBJECT: DAY: GEOMETRY MONDAY, MAY 1 OBJECTIVE(S): Lesson 12-1 - Use orthogonal drawing of three-dimensional figures to make models - Identify and use three-dimensional figures ALIGNED TO STATE STANDARD: 9-12.G.MG.1 BELL RINGER: Test 11 Results TEACHING: Lesson 12-1 “Three-Dimensional Figures” pp.636-642 GUIDED PRACTICE: Page through Lesson 12-1 to discuss the highlights and interesting facts needed for Lesson 12-2. Provide the Isometric Dot Paper for use on drawing nets and determining the surface area of prisms and pyramids and cones. Demonstrate the problem-solving steps and solutions derivation required for this lesson. Allow students to work in small groups to complete the assignment. ASSIGNMENT: 9-15, 16-21and 25-30 HW Check SUBJECT: DAY: 8th PRE-ALGEBRA TUESDAY, MAY 2 OBJECTIVE(S): Lesson 12-1 (Day 1) Prove the Pythagorean Theorem and use it to solve problems ALIGNED TO STATE STANDARD: 8.G.7 BELL RINGER: Test results and pages 372-374 TEACHING: Lesson 12-1 “The Pythagorean Theorem” pages 375-380 GUIDED PRACTICE: We are now dealing with a topic that is a MUST understand for your future in math! The purpose of the Pythagorean Theorem is to determine missing components of right triangles, determine distances between two points, and solve real-world problems. The Theorem states a2 + b2 = c2 as its foundation with “a” and “b” representing the two LEGS of a right triangle and “c” being the Hypotenuse (longest side) of the triangle across from the 90 degree right angle DO: 375-378 in class ASSIGNMENT: Read and Complete pages 378-380 SUBJECT: DAY: 7TH MATH TUESDAY, MAY 2 OBJECTIVES: PROBABILITY LAB Assignment: Write a short paper (2 paragraphs) on the results of the lab and the lessons learned within your group comparing theoretical and experimental probability. SUBJECT: DAY: ALGEBRA II (2) TUESDAY, MAY 2 OBJECTIVE(S): Lesson 13-2 - Change radian measures to degree measures & vice versa - Identify coterminal angles ALIGNED TO STATE STANDARD: 9-12.G.SRT.6, 9-12.F.TF.1, and 9-12.F.TF.2 BELL RINGER: (HW Quiz Lesson 13-1) TEACHING: Lesson 13-2 “Angles and Angle Measure” pp. 709-713 GUIDED PRACTICE: In geometry and especially TRIG, two methods of measuring angles is evident, degrees and radians. Our calculators are equipped to use both, but we must be careful not to mix the two in our calculations. Explain the meaning of a “radian” which is the measure of an angle whose intercepted arc on a unit circle is exactly 1 unit. Show this on Promethean. Discuss how to read angles and proper rotation in a counter-clockwise motion, starting at the 3 O’Clock position as “0”. DO: 2-18 (Even) (HW Check) ASSIGNMENT: 19-51 (odd) and 58 (HW Quiz) SUBJECT: DAY: ALGEBRA II TUESDAY, MAY 2 OBJECTIVE(S): Lesson 13-2 (Day 1) - Change radian measures to degree measures & vice versa - Identify coterminal angles ALIGNED TO STATE STANDARD: 9-12.G.SRT.6, 9-12.F.TF.1, and 9-12.F.TF.2 BELL RINGER: HW Check 13-2 (Day 1) TEACHING: Lesson 13-2 “Angles and Angle Measure” pp. 709-713 GUIDED PRACTICE: In geometry and especially TRIG, two methods of measuring angles is evident, degrees and radians. Our calculators are equipped to use both, but we must be careful not to mix the two in our calculations. Explain the meaning of a “radian” which is the measure of an angle whose intercepted arc on a unit circle is exactly 1 unit. Show this on Promethean. Discuss how to read angles and proper rotation in a counter-clockwise motion, starting at the 3 O’Clock position as “0”. ASSIGNMENT: 19-51 (odd) and 58 (HW Quiz) SUBJECT: DAY: PRE-CALCULUS TUESDAY, MAY 2 OBJECTIVE(S): Lesson 15-2 - Determine derivatives and antiderivatives of polynomial functions - Use derivatives and antiderivatives in application ALIGNED TO STATE STANDARD: 9-12. BELL RINGER: HW Check Lesson 15-1 (11-32 E) TEACHING: Lesson 15-2 “Derivatives and Antiderivatives” pp. 951-960 GUIDED DISCUSSION: Derivatives of a function provide another function that has the slope of the tangent line at a given point. This is very big for Calculus and Physics calculations. Derivative notation looks like f’(x) or dy/dx..once you get the hang of it, it is quite simple to calculate. It is similar to the logarithmic functions we performed earlier. ANTIDERIVATIVES simply perform the operation BACKWORDS. DO: 4-12 ASSIGNMENT: 14-40 (Even) (HW Check) SUBJECT: DAY: GEOMETRY TUESDAY, MAY 2 OBJECTIVE(S): Lesson 12-2 (Day 1) - Draw two-dimensional models for three-dimensional figures -Find the surface area of three-dimensional figures ALIGNED TO STATE STANDARD: 9-12.G.MG.1 BELL RINGER: HW Check Lesson 12-1 TEACHING: Lesson 12-2 “Nets and Surface Area” pp. 643-648 GUIDED PRACTICE: Page through Lesson 12-2 to discuss the highlights and interesting facts needed for the lesson. Provide the Isometric Dot Paper for use on drawing nets and determining the surface area of prisms and pyramids and cones. Handout the students notes. Discuss that “nets” and surface area calculation require thinking outside the box and “seeing” the folds and required bends needed to reconstruct the object. Use the visual aids hanging around the room to help visualize this concept. Demonstrate the problem-solving steps and solutions derivation required for this lesson. Allow students to work in small groups to complete the assignment. DO: Practice 3-7 in class ASSIGNMENT: 9-23 HW Check SUBJECT: DAY: 8TH PRE-ALGEBRA WEDNESDAY, MAY 3 OBJECTIVE(S): FIELD TRIP with Mr. Sebern SUBJECT: DAY: 7TH MATH Full Period WEDNESDAY, MAY 3 OBJECTIVE(S): LESSON 12-1 - Describe the likelihood of an event happening ALIGNED TO STATE STANDARD: 7.SP.5, (7.SP.7a) BELL RINGER: Lab results in discussion TEACHING: Lesson 12-1 “Probability” pp 367-374 GUIDED PRACTICE: Discuss in depth the meaning and value of probability when it comes to determining the likelihood of an event happening at random given a certain set of circumstances. Cover the terms: experiment, trial, outcome, event, complement and probability. DO: Pages 367-374 in class to prep for the assignment ASSIGN: Finish pages 373-374; Expect a quiz SUBJECT: DAY: ALGEBRA I WEDNESDAY, MAY 3 OBJECTIVE(S): Lesson 10-4 - Solve quadratic equations using the Quadratic Formula - Use the discriminant to determine the number and type of solutions for a quadratic equation ALIGNED TO STATE STANDARD: 9-12.A.SSE.3, 9-12.F.BF.1 BELL RINGER: HW Check 10-3 and HW QUIZ TEACHING: Lesson 10-4 “Solving Quadratic Equations by Using the Quadratic Formula” pp. 546-551 GUIDED PRACTICE: Discuss the small portion of the quadratic formula referred to as the “discriminant” and illustrate its value to determine number and types of roots. Practice this proper use and value of the Quadratic Formula DO: Practice with 4-12 ASSIGNMENT: 14-40 (Even) HW Check SUBJECT: DAY: ALGEBRA II WEDNESDAY, MAY 3 OBJECTIVE(S): Lesson 13-3 (Day 1) - Find values of trig functions for general angles - Use reference angles to find values of trig functions in all quadrants of the unit circle ALIGNED TO STATE STANDARD: BELL RINGER: HW Quiz Lesson 13-2 TEACHING: Lesson 13-3 “Trigonometric Functions on General Angles” pp 717-724 GUIDED PRACTICE: Reinforce basic operating procedures and then demonstrate how the graphing calculators can also perform trig much easier than manual calculations. Emphasize the importance of the possibilities of using trig in indirect measure. This is a great life-long skill to learn and understand. ASSIGNMENT: 4-14 HW Check SUBJECT: DAY: PRE-CALCULUS WEDNESDAY, MAY 3 OBJECTIVE(S): Lesson 15-4 (Day 1) -Use the Fundamental Theorem of Calculus to evaluate definite integrals of polynomial functions -Determine areas under graphs of a polynomial function ALIGNED TO STATE STANDARD: 9-12. BELL RINGER: HW Check Lesson 15-2 (14-40 E) TEACHING: Lesson 15-4 “The Fundamental Theorem of Calculus” pp. 970-976 GUIDED DISCUSSION: A new topic of Calculus is “integrals” which are neat to provide the area beneath a curve line of a polynomial function. Integrals are the reverse operations of finding derivatives, so if you understand how derivatives are calculated, perform that operation in reverse to define the integral. ASSIGN: 5-14 SUBJECT: DAY: GEOMETRY WEDNESDAY, MAY 3 OBJECTIVE(S): Lesson 12-3 (Day 1) -Find the lateral and surface area of prisms ALIGNED TO STATE STANDARD: 9-12.G.MG.1 BELL RINGER: HW Check Lesson 12-2 TEACHING: Lesson 12-3 “Surface Area of Prisms” pp. 649-659 GUIDED PRACTICE: We are continuing in the surface area calculations for prisms. Distribute the lesson notes handout, then discuss the nets from Lesson 12-2 that show the dimensions and basic shape of this threedimensional object. Review the formula sheet to negate possible errors in the problem-solving. ASSIGNMENT: 3-8, 16-20 (HW Check) SUBJECT: DAY: 8TH PRE-ALGEBRA THURSDAY, MAY 4 OBJECTIVE(S): Lesson 12-1 (Day 2) Prove the Pythagorean Theorem and use it to solve problems ALIGNED TO STATE STANDARD: 8.G.7 BELL RINGER: Review 378-380 and Quiz 12-1 TEACHING: Lesson 12-1 “The Pythagorean Theorem” pages 375-380 GUIDED PRACTICE: We are now dealing with a topic that is a MUST understand for your future in math! The purpose of the Pythagorean Theorem is to determine missing components of right triangles, determine distances between two points, and solve real-world problems. The Theorem states a2 + b2 = c2 as its foundation with “a” and “b” representing the two LEGS of a right triangle and “c” being the Hypotenuse (longest side) of the triangle across from the 90 degree right angle. ASSIGNMENT: Read and Complete pages 381-384 SUBJECT: DAY: 7TH MATH THURSDAY, MAY 4 OBJECTIVE(S): LESSON 12-2 (Day 1) - Determine how to find the experimental probability of a simple event ALIGNED TO STATE STANDARD: 7.SP.6 BELL RINGER: Quiz 12-1 TEACHING: Lesson 12-2 “Experimental Probability of Simple Events” pp 375-380 GUIDED PRACTICE: The terms: experiment probability and simple event, are used to explain that we can do trial and error experiments to determine approximately how often an event will occur when performing that set of experiments. We can also perform “simulation” of simple events on computers or calculators to determine the possible probability of the outcome. ASSIGN: Read and Complete pages 375-377 SUBJECT: DAY: ALGEBRA II (2) THURSDAY, MAY 4 OBJECTIVE(S): Lesson 13-3 - Find values of trig functions for general angles - Use reference angles to find values of trig functions in all quadrants of the unit circle BELL RINGER: HW Quiz Lesson 13-2 TEACHING: Lesson 13-3 “Trigonometric Functions on General Angles” pp 717-724 GUIDED PRACTICE: Reinforce basic operating procedures and then demonstrate how the graphing calculators can also perform trig much easier than manual calculations. Emphasize the importance of the possibilities of using trig in indirect measure. This is a great life-long skill to learn and understand. DO: Practice 4-14 (Even) HW Check ASSIGNMENT: 18-42 (Even) HW Check and Quiz SUBJECT: DAY: ALGEBRA II THURSDAY, MAY 4 OBJECTIVE(S): Lesson 13-3 (Day 2) - Find values of trig functions for general angles - Use reference angles to find values of trig functions in all quadrants of the unit circle BELL RINGER: HW Check Lesson 13-3 (4-14) TEACHING: Lesson 13-3 “Trigonometric Functions on General Angles” pp 717-724 GUIDED PRACTICE: Reinforce basic operating procedures and then demonstrate how the graphing calculators can also perform trig much easier than manual calculations. Emphasize the importance of the possibilities of using trig in indirect measure. This is a great life-long skill to learn and understand. CLOSURE: Start the conversion from Pythagorean Theorem to the advanced uses that will be performed in Trigonometry. ASSIGNMENT: 18-42 (Even) HW Check and Quiz SUBJECT: DAY: PRE-CALCULUS THURSDAY, MAY 4 OBJECTIVE(S): Lesson 15-4 (Day 2) -Use the Fundamental Theorem of Calculus to evaluate definite integrals of polynomial functions -Determine areas under graphs of a polynomial function ALIGNED TO STATE STANDARD: 9-12. BELL RINGER: Examine 5-14 HW Day 1 TEACHING: Lesson 15-4 “The Fundamental Theorem of Calculus” pp. 970-976 GUIDED DISCUSSION: Continue with this new topic of Calculus called “integrals” which are neat to provide the area beneath a curve line of a polynomial function. Integrals are the reverse operations of finding derivatives, so if you understand how derivatives are calculated, perform that operation in reverse to define the integral. ASSIGN: 16-40 HW Check SUBJECT: DAY: GEOMETRY THURSDAY, MAY 4 OBJECTIVE(S): Lesson 12-4 (Day 1) -Find the lateral and surface area of cylinders ALIGNED TO STATE STANDARD: 9-12.G.MG.1 BELL RINGER: HW Quiz Lesson 12-3 (Day 2) TEACHING: Lesson 12-4 “Surface Area of Cylinders” pp. 649-659 GUIDED PRACTICE: We are continuing in the surface area calculations but now for cylinders. Distribute the lesson notes handout, then illustrate the dimensions and basic shape of the three-dimensional object. Review the formula sheet to negate possible errors in the problemsolving. ASSIGNMENT: 4-20 Even HW Check SUBJECT: DAY: 8TH PRE-ALGEBRA FRIDAY, MAY 5 OBJECTIVE(S): Lesson 12-2 (Day 1) Use the Pythagorean Theorem to test if a triangle is a Right Triangle ALIGNED TO STATE STANDARD: 8.G.6 BELL RINGER: Quiz results and pages 381-383 TEACHING: Lesson 12-2 “Converse of the Pythagorean Theorem” pages 381-386 GUIDED PRACTICE: This lesson is a continuation of Lesson 12-1, but in reverse. It states that IF the Pythagorean Theorem works, THEN the triangle MUST BE a right triangle. Again a2 + b2 = c2 is the foundation DO: 384 in class ASSIGNMENT: Read and Complete pages 385-386 SUBJECT: DAY: 7TH MATH FRIDAY, MAY 5 OBJECTIVE(S): LESSON 12-2 (Day 2) - Determine how to find the experimental probability of a simple event ALIGNED TO STATE STANDARD: 7.SP.6 BELL RINGER: HQ 12-1 results and review 375-377 TEACHING: Lesson 12-2 “Experimental Probability of Simple Events” pp 375-380 GUIDED PRACTICE: The terms: experiment probability and simple event, are used to explain that we can do trial and error experiments to determine approximately how often an event will occur when performing that set of experiments. We can also perform “simulation” of simple events on computers or calculators to determine the possible probability of the outcome. DO: Complete page 378 and start 379-380 ASSIGN: Read and Complete 379-380 SUBJECT: DAY: ALGEBRA I FRIDAY, MAY 5 OBJECTIVES: STANDARDIZED TEST PRACTICE BELL RINGER: HW Check Lesson 10-4 GUIDED PRACTICE: Complete Chapter 9 Pages 520-521 ASSIGNMENT: Start reviewing the past tests in prep for the Semester Exam SUBJECT: DAY: ALGEBRA II FRIDAY, MAY 5 OBJECTIVE(S): Lesson 13-4 (Day 1) - Solve problems using the Law of Sines ALIGNED TO STATE STANDARD: 9-12.G.SRT.9, 9-12.G.SRT.10, 9-12.G.SRT.11 BELL RINGER: HW Quiz Lesson 13-3 TEACHING: Lesson 13-4 “Law of Sines” pp 725-731 GUIDED PRACTICE: Discuss how the Law of Sines evolved from exploring the “area” of two triangles formed from dividing a common triangle (which has a common side). Demonstrate how just knowing one combination of a side and its associated angle PLUS any other part can be used to solve for all the remaining parts of the triangle. Additionally, the Law of Sine is great for determining the area of a triangle without knowing the “height” and only the SAS components. ASSIGNMENT: 4-8 (All) SUBJECT: DAY: PRE-CALCULUS FRIDAY, MAY 5 OBJECTIVE(S): Chapter 15 Quiz BELL RINGER: HW Check 15-4 (16-40 Even) TEACHING: Chapter 15 Wrap-up Quiz ASSIGNMENT: None SUBJECT: DAY: GEOMETRY FRIDAY, MAY 5 OBJECTIVE(S): Lesson 12-5 (Day 1) - Find the lateral area and surface area of regular pyramids ALIGNED TO STATE STANDARD: 9-12.G.MG.1 BELL RINGER: HW Check Lesson 12-4 TEACHING: Lesson 12-5 “Surface Area of Pyramids” pp. 660-664 GUIDED PRACTICE: We are continuing the surface area calculations, but with a new object, the pyramid. Have students “build” designated pyramids in table groups of two, with 81/2x11 paper and tape. Nothing elaborate, just focus on the different surfaces that need to included. Once completed with their pyramid, hand out lesson notes and demonstrate the use of the formula to solve for the total surface area of the object. Recall the “apothem” from Chapter 11 and how to calculate the value. ASSIGNMENT: 3-5, 7, 8, 10, 12 in full detail of each phase!