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Learn how to apply the Pythagorean Theorem to solve 3D object problems and find volumes of cones, cylinders, and spheres. Includes exercises, discussions, and assessments.
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Standards Essential Question Agenda • How do I use the Pythagorean Theorem and its converse to solve real world problems? • Core bites #8 • Collect AUP forms • Handout bathroom / locker passes • Discuss discipline procedures • #1: Pair Share with a Twist – Pythagorean Theorem problems (85%) – due tomorrow Tuesday, January 6th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I use the Pythagorean theorem to solve problems involving 3D objects • Core bites #9 • Discuss discipline procedures • Hand graded papers back #1: Pair Share with a Twist – Pythagorean Theorem problems (85%) - turn in. I will grade and return to you to make corrections– Due Friday, January 9th • Notes – use of Pythagorean theorem in 3D objects • #2 – CW/HW – 3D Pythagorean Theorem Standards Wednesday, January 7th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cylinders and cones? 1st period (power outage so all other classes did not do this lesson) • Core bites #10 • HW Review: #2 – CW/HW – 3D Pythagorean Theorem • IN notes – volume of cones, cylinders and spheres packet • #3: volume of cylinders and cones handout Standards Thursday, January 8th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cylinders and cones? 1st period • Volume of cylinders and cones word problems 2nd – 6th • Core bites #10 • HW Review: #2 – CW/HW – 3D Pythagorean Theorem • IN notes – volume of cones, cylinders and spheres packet • #3: volume of cylinders and cones handout • Turn in pair shair (Pythagorean theorem) Standards Friday, January 10th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of spheres? • Core bites #11 • HW Review: #3: volume of cylinders and cones handout • Spheres notes • #4 CW/HW Spheres practice (handout) • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Monday, January 12th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cones, cylinders, and spheres in real world situations? • Core bites #12 • HW Review: #4 CW/HW Spheres practice (handout) • #5 word problems for cones, cylinders, and spheres • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Tuesday, January 13th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cones, cylinders, and spheres in real world situations? • Core bites #13 • HW Review: #5 word problems for cones, cylinders, and spheres • #6 solving for radius or height given volume of cylinder, cone, sphere • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Tuesday, January 13th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cones, cylinders, and spheres in real world situations? • Core bites #14 • HW review: #6 solving for radius or height given volume of cylinder, cone, sphere • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Wednesday, January 14th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cones, cylinders, and spheres in real world situations? • Core bites #14 • Unit 3 Review Game • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Thursday, January 15th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • How do I find the volume of cones, cylinders, and spheres in real world situations? • Unit 3 Test • Unit 4 Pre Test • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Friday, January 16th
Essential Question • Upcoming Assessments: • Friday, January 16th • Unit 3 Test • Core Bites Quiz • Turn in warm ups (smart starts) for easy 85% quiz grade) Agenda • Core bites #15 • Core bites quiz #1 • Turn in core bites #8 – 15 • Handed out progress reports • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Tuesday, January 20th
Essential Question Upcoming Assessments: Agenda Standards • What are the qualities of a function and how do I interpret functions in a real world situation? • Core bites #16 • Notes – introduction to functions • #7 assignment from notes packet – determining of a relation is a function • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Wednesday, January 21st
Essential Question Upcoming Assessments: Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • Core bites #17 • HW Review: #7 assignment from notes packet – determining of a relation is a function • Notes – graphing from a table and parts of a graph • #8 domain / range / function / not a function / graphing from a table • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Thursday, January 22nd
Essential Question Upcoming Assessments: Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • Core bites #18 & #19 • HW Review: #8 domain / range / function / not a function / graphing from a table (3rd, 4th, 6th – finish from Thursday) 1st and 2nd period • Graph equations from a table and label parts of a function. • Turn in pair share – (each day late is -10 points) (Pythagorean theorem) Standards Monday, January 26th
Essential Question Upcoming Assessments: Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • Core bites #20 & #21 • HW Review: #8 domain / range / function / not a function / graphing from a table (3rd, 4th, 6th – finish from Thursday) 1st and 2nd and 4th period • Graph equations from a table and label parts of a function. • #9 functions practice / functions review 3rd & 6th • Graph one equation using a table Standards Tuesday, January 27th
Essential Question Upcoming Assessments: Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? • Core bites #22 & 23 1st, 2nd, 4th • HW Review: #9 functions practice / functions review • Calculate slope using a graph • Introduction to slope – 4th did not get to the 4 types of slope 3rd & 6th • HW review: Graph one equation using a table • Functions Review / Functions Practice Standards Wednesday, January 28th
Essential Question Upcoming Assessments: Core Bites # 2 quiz – Wednesday, February 4th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? • Core bites #24 & 25 1st, 2nd, 4th • #10 HW Review: Calculate slope using a graph • Calculate slope using slope formula for two points 3rd & 6th • HW Review: Functions – review and practice • Notes / assignment – calculate slope from a graph Standards Thursday, January 29th
Essential Question Upcoming Assessments: Core Bites # 2 quiz – Wednesday, February 4th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? • Core bites #26 & 27 1st, 2nd, 4th • HW Review: Calculate slope using slope formula for two points • #11 – calculate slope from a table – determine linear and non linear from a table 3rd & 6th • HW review – determine slope from a graph • Notes / assignment – determine slope from a set of two points Standards Friday, January 30th
Essential Question Upcoming Assessments: Core Bites # 2 quiz – Tuesday, February 3rd Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #28 & 29 1st, 2nd, 4th • HW Review: #12 – calculate slope from a table – determine linear and non linear from a table • Back of tables worksheet – review of slope (taken up for a grade) 3rd & 6th • HW Review: Notes / assignment – determine slope from a set of two points (slope formula) • Notes / assignment – slope and linear and non linear from tables Monday, February 2nd
Essential Question Upcoming Assessments: Core Bites # 2 quiz – Tuesday, February 3rd Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #30 1st, 2nd, 4th • Take up: #12 – calculate slope from a table – determine linear and non linear from a table/ Back of tables worksheet – review of slope (taken up for a grade) • Core bites quiz #2 (take up warm ups) • Graphic organizer notes – different representations – graph, equation, table 3rd & 6th • HW Review: Notes / assignment – slope and linear and non linear from tables • Back – slope review • Core Bites quiz #2 (turn in warm ups with quiz) Tuesday, February 3rd
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #31, #32 1st, 2nd, 4th • Go over - Graphic organizer notes – different representations – graph, equation, table • Function patterns with toothpicks task 3rd & 6th • Take up tables / slope handout • Graphic organizer notes – different representations • Functions patterns task (begin) Wednesday, February 4th
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #33, 34 1st, 2nd, 4th • HW Review: Function patterns with toothpicks task • 4.4: y=mx + b in context 3rd & 6th • HW Review: Functions patterns task (begin) • Continue functions pattern task Thursday, February 5th
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #35, 36 1st, 2nd, 4th • HW review: 4.4: y=mx + b in context • Compare functions notes and assignment 3rd & 6th • HW Review – patterns functions with toothpicks • 4.4 y = mx + b in context Friday, February 6th
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #37, 38 1st, 2nd, 4th • HW Review: Compare functions notes and assignment • 8 – 3 – comparing functions with multiple representations 3rd & 6th • 8 – 3 comparing functions with multiple representations Monday, February 9th
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core bites #39 & 40 1st, 2nd, 4th • HW Review: 8 – 3 – comparing functions with multiple representations • Review for test 3rd & 6th • HW Review: 8 – 3 comparing functions with multiple representations • Review for test Tuesday, February 10th
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Unit 4 CUA Wednesday, February 11th
Essential Question Upcoming Assessments: Unit 4 test: February 11th Agenda • What are the qualities of a function and how do I interpret functions in a real world situation? • How do I graph a function from a table? • How do I calculate slope and how does it relate to the real world? Standards • Core Bites #41 & 42 • Board Game – review of common core math concepts • Any student who is disruptive and/or not fully participating in the fun activity will be sent to another class to work out of the text book. • TB page 136 (1 – 24) Thursday, February 12th
Upcoming Assessments: • Core Bites Quiz #3 Wednesday, February 18th Agenda Standards • Core Bites #43 & 44 • Linear vs Non linear notes and classwork Essential Question • How can I determine if a function is linear or non linear by looking at a table, equation, graph? Tuesday, February 17th
Upcoming Assessments: • Core Bites Quiz #3 Wednesday, February 18th Agenda Standards • Core Bites #45 • Core Bites #3 Quiz • HW Review: Linear vs Non linear notes and classwork • Graphing in Slope intercept form Essential Question • How do I graph in slope intercept form with out using a table of values Wednesday, February 18th
Upcoming Assessments: • Core Bites Quiz #3 Wednesday, February 18th Agenda Standards • Core Bites #45 • Core Bites #3 Quiz • HW Review: Linear vs Non linear notes and classwork • Graphing in Slope intercept form Essential Question • How do I graph in slope intercept form with out using a table of values Wednesday, February 18th
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • Turn in: Graphing in Slope intercept form • Computer lab – classworks review of slope and linear equations Essential Question • How do I graph in slope intercept form with out using a table of values Thursday, February 19th
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • X and y intercepts – classwork / homework Essential Question • How do find x and y intercepts? What do the intercepts mean given a real world situation? Friday, February 20th
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • Core Bites - #46 & 47 • HW Review – x and y intercepts • TB page 140 – 141 (tables, equations, graphs) Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Monday, February 23rd
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • Core Bites - #48 & 49 • HW Review: TB page 140 – 141 (tables, equations, graphs) • 9 – 3 – tables, equations, graph exploration Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Tuesday, February 24th
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • Core Bites - #50 - 51 • HW Review: 9 – 3 – tables, equations, graph exploration • 9 – 3 practice, additional practice, and problem solving Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Wednesday, February 25th
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • HW Review: 9 – 3 practice, additional practice, and problem solving • Review for Unit 5 CUA Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Thursday, February 26th
Upcoming Assessments: • Friday, February 27th : Unit 5 CUA Agenda Standards • Unit 5 CUA • Unit 6 Pre Test Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Friday, February 27th
Upcoming Assessments: Agenda Standards • Crosswalk Summative Assessment (substitute was here) Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Monday, March 2nd
Upcoming Assessments: Agenda Standards • Core Bites #52 - 53 • Unit 5 CUA remediation Essential Question • How do I translate from tables, equations, and graphs? How do they relate to one another and how do I explain their meaning in a real-world context. Tuesday, March 3rd
Wednesday, March 4th Agenda Standards • Core Bites #54 • Lesson/classwork/homework: Summarizing Bivariate Categorical data in a two-way table (lesson 13) Essential Question How do I organize bivariate categorical data in a two-way table? How do I calculate row and column frequencies and interpret them in context?
Thursday, March 5 Agenda Standards • Core Bites #55 - 56 • HW Review: Lesson/classwork/homework: Summarizing Bivariate Categorical data in a two-way table (lesson 13) • Lesson – how to determine association in a two-way table (Lesson 14) Essential Question How do I organize bivariate categorical data in a two-way table? How do I calculate row and column frequencies and interpret them in context?
Friday, March 6th Agenda Standards • Core Bites #57 • HW Review:Lesson – how to determine association in a two-way table (Lesson 14) • Lesson – piecewise functions (qualitative graphs) • Ticket out – piecewise functions Essential Question How do I define appropriate quantities from a situation, choose and interpret scale and the origin of the graph, and graph the piecewise linear function described in the video? What is the relationship between physical measurements and their representation on a graph?
Monday, March 9 Agenda Standards • Core Bites #58 – 60 • Review for Core Bites Quiz • Core Bites Quiz # 4 Next Assessment Monday, March 16th : Unit 6 CUA
Tuesday, March 10 Agenda Standards • Return and go over Core Bites Quiz #4 • Rework of Core Bites Quiz #4 is due Wednesday, March 11 (tomorrow) • Lesson 10 – 1 Exploration of Core Math – practice: Qualitative graphs (piecewise functions) Essential Question How do I define appropriate quantities from a situation, choose and interpret scale and the origin of the graph, and graph the piecewise linear function described in the video? What is the relationship between physical measurements and their representation on a graph? Next Assessment Monday, March 16th : Unit 6 CUA
Wednesday, March 11 Agenda Standards • Turn in Rework for Core Bites Quiz #4 • HW review: Lesson 10 – 1 Exploration of Core Math – practice: Qualitative graphs (piecewise functions) • Scatter Plots (constructing and interpreting) – Lesson 11- 1 Essential Question: How do I construct and interpret scatter plots? Next Assessment Monday, March 16th : Unit 6 CUA
Thursday, March 12th Agenda Standards • HW Review: Scatter Plots (constructing and interpreting) – Lesson 11- 1 • Scatter Plots (trend line and predictions) Lesson 11 - 2 Essential Question: How can I use a trend line to make a prediction from a scatter plot? Next Assessment Monday, March 16th : Unit 6 CUA