th 6th Grade Math Teacher(s): 6 Grade Math Team Week of: Jan.2- Jan.6 I. Instructional Goal(s): Geometry 6.EE.2c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real- world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = and A = 6 to find the volume and surface area of a cube with sides of lengths = 1/2 6.G.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. 6.G.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. Common Core State Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. II. Performance Objectives I Can… • Evaluate expressions • Identify polygons based on mathematical meanings • Find the area of squares, rectangles, and triangles • Find the area of special quadrilaterals (ex. parallelograms & trapezoids) • Find the area of polygons by composing or decomposing into other shapes • Find missing side lengths by manipulating formulas • Find the volume of a right rectangular prism with fractional edge lengths • Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths • Solve real-world and mathematical problems by applying geometrical techniques (ex. calculating area, perimeter, missing side lengths, volume, etc.) REMEDIATION/RETEACHING NOTES: • Study Island Lesson Mode * One-To-One *Simpler Attack Problems * Video Remediation w/ Practice Problems (Virtual Nerd, Khan Academy, Tenmarks) Vocabulary Words and Word Analysis A. Word Analysis Instructional Strategy: • Interactive Notebook Foldable • Frayer Model B. Vocabulary Words for the Week: • area • perimeter • quadrilateral • polygon • regular polygon • units (squared/cubed) • two-dimensional (2D) • length • side • width • base • height • square • rectangle • right triangle • isosceles triangle • scalene triangle • acute triangle • obtuse triangle • equilateral triangle • parallelogram • trapezoid • compose • decompose • composite figure III. Teaching/Learning Procedures C. Motivational/Introduction: Geometry (Area/Perimeter) **Warm UP- Review/Rework Target Specific Case 21 Problems • Monday, Jan.2--Holiday • Tuesday, Jan.3--BrainPOP: Geometry/BrainPOP: Types of Triangles • Wednesday, Jan.4--BrainPOP: Polygons & Area of Polygons • Thursday, Jan.5- Tangram Story/ Area Activity • Friday, Jan.6- 6.G.1-6.G.2 Vocabulary Quiz D. Teaching/Learning Activities: Exploration Phase (The Teacher will…) • Define each polygons based on its mathematical meaning using IWB tools • Model finding area of polygons using each polygons formula and prior knowledge of evaluating and solving equations • Model decomposing composite figure to find area using manipulatives and teacher-made resources • Review finding perimeter of polygons (Prerequisite) • Demonstrate finding missing side lengths by using an equation • Use appropriate vocabulary to explain, discuss, and explore geometric techniques • Model composing Tangram figure using tangram block th Teacher(s): 6 Grade Math Team 6th Grade Math Week of: Jan.2- Jan.6 Demonstrate basic use of a ruler (How to use a lead-in ruler, measuring items, etc.) Concept Development Phase (The Student will…) • Determine the area of a polygon using a specific formula • Visually and physically decompose and compose polygons into rectangles and triangles to find area • Determine missing side lengths using prior knowledge of solving equations • Calculate the perimeter of a given polygon with missing side lengths • Investigate and solve real world scenarios involving area • Use appropriate vocabulary to explain, discuss, and explore geometric techniques • Find measurements of tangram blocks using a lead-in ruler • Construct a tangram figure with study buddy • Use tangram block measurements to calculate total area of figure • Concept Application Phase (The Student will…) • Solve real-world problems involving area of triangles, quadrilaterals and polygons by applying geometrical techniques and prior knowledge of evaluating and solving equations • Determine the area of a polygon using a specific formula • Visually and physically decompose and compose polygons into rectangles and triangles to find area • Determine missing side lengths using prior knowledge of solving equations • Calculate the perimeter of a given polygon with missing side lengths • Find measurements of tangram blocks using a lead-in ruler • Use tangram block measurements to calculate total area of figure • Construct a tangram figure individually D. Closure • Exit Tickets (Check for understanding) • Vocabulary Word Wall (Terms Review) • Check for clarity/understanding (Name one new thing you learned today) • Student Presentations/Demonstrations IV. Materials Needed • 21st Century Lessons (PPT/Notes/Homework) • iReady Common Core Lessons (Notes/Practice) • YouTube/TeacherTube • Khan Academy • Tenmarks/Buzzmath • Study Island • CCSS Toolbox • Commoncoresheets • Illustrative Math • NCTM Illuminations • LearnZillion • Internet • MobiView • Explorations in CORE Math Student/Teacher Edition • BIG IDEAS Curriculum • MDE Mathematics REMEDIATION/RETEACHING NOTES: • Projector • Study Island Lesson Mode * One-To-One *Simpler Attack Problems • Chromebook/ MacBook * Video Remediation w/ Practice Problems (Virtual Nerd, Khan Academy, Tenmarks) • Color Pencils/Highlighters/Markers V. Differentiating Instruction • Small Group Instruction and Modeling with manipulatives • Interactive Notebook Foldable(s) • Modeling with pictures, words and numbers • Centers (individual/peer coaching) • Use graphic organizers VI. Instructional Strategies • Strategy 1: Asking “Why?” • Strategy 2: Embed In Context, Present As A Problem • Strategy 3: Ongoing Cumulative Review • Strategy 4: Ensure A Language-Rich Classroom • Strategy 5: Use Every Number As A Chance To Build Number Sense • Strategy 6: Draw A Picture (Mental or Real) • Strategy 7: Omit What Is No Longer Important • Strategy 8: Error Analysis • Strategy 9: Peer Tutoring • Strategy 10: Apply strategies to Real World Situation VII. Homework- ALL WORK MUST BE SHOWN • • • • • Monday, Jan.2- Holiday Tuesday, Jan.3- Area of Polygons (6.G.1/6.EE.2c)/Write Formulas 3xs Wednesday, Jan.4- Area of Composite Figures/Write Formulas 2xs Thursday, Jan.5- Quiz Review Handout/Formula Quiz Friday, Jan.6- 6.G.1 Area of Polygons Quiz/Geometry Vocabulary Due/Review (Due Monday, Jan. 9…Daily Grade) VIII. Major Exams: Tentative (May Change) Week of January 6 Subject 6.G.1-6.G.2 (6.EE.2c integrated) January 13 6.G.2 & 6.G.4 (6.G.1, 6.EE.2c, 6.NS.3 integrated) January 17-20 Winter MAP Testing (ELA & Math) January 27 6.G.3, 6.NS.6c, & 6.NS.8 (6.NS.3 integrated) February 3 6.NS.6a-c (6.NS.8 integrated) February 10 6.NS.5 & 6.NS.7 February 17 6.NS.9 (Adding/Subtracting Integers) February 24 6.NS.9 (Multiplying/Dividing Integers) February 27 Review/CASE 21 #3 Test Window??? cc/17
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