C2.0 Mathematics 6 Parent Resource Marking Period 4: Geometric and Statistical Relationships Marking Period 4 includes 4 topics of study, listed below. This resource is for Section 1 of Topic 1. Topic 1 Topic 1 Topic 2 Topic 3 Topic 4 Relating Area and Volume: Area Relating Area and Volume: Volume Surface Area Multi-Digit Computation Statistical Questions Topic 5 Analyzing Data Distributions Learning Goals by Common Core State Standard Topic Relating Area and Volume: Area Students will be able to... Find the area of right and other triangles. Find the area of parallelograms, trapezoids and other polygons by composing rectangles or decomposing them into triangles and other shapes. Apply strategies for finding area of triangles and other polygons to solving real-world problems. Instructional videos in the hyperlinks above are meant to support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS. The Common Core State Standards require a balance of three fundamental components that result in rigorous mathematics acquisition: deep conceptual understanding, procedural skill, and mathematical applications and modeling. RIGOR Deep Conceptual Understanding Relating Area and Volume: Area Applications and Modeling Procedural Skill Students will reason about realworld situations to solve problems involving area. Students will build accuracy when composing and decomposing figures to find area. Students will apply formulas for area of a triangle and rectangle to solve problems in a real world context. C2.0 Mathematics 6 Parent Resource Page Marking Period 4: Geometric and Statistical Relationships Topic 1, Section 1: Relating Area and Volume: Area Learning Experiences by Common Core State Standard In school, your child will… Topic 1, Section 1: Relating Area and Volume: Area Develop the understanding that the area formula for a parallelogram is A=bh by decomposing them to make rectangles. ç At home, your child can… Develop the formula for the area of a triangle as A = Find the area of different objects around the house, e.g. the area of a coffee table or a picture. Design the layout for a room. o Use an online room planner and find the area of different pieces of furniture. o Sample Room Planner - http://www.mybobs.com/roomplanner Design a project such as a bat house and find the areas of each of the pieces of it. o Sample Bat house Plan http://www.npwrc.usgs.gov/resource/wildlife/ndblinds/smallbat. htm Map a playground given specific shapes and areas. ç bh by 2 exploring triangles as half of a rectangle or parallelogram. Find the area of a trapezoid by decomposing it into other shapes. Note: In Grade 6, students are not expected to be proficient with the area formula for a trapezoid. They are expected to find it by composing or decomposing them into rectangles triangles and other shapes. Additional Practice Area Explorer – Rectangles (practice) Area Fact Monster – Triangles (game) Area – Mixed (practice) Area (practice) Area of Composite Figures (practice) MP4 Topic 1 Understanding Area (Flexbook) Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS. C2.0 Mathematics 6 Parent Resource Marking Period 4: Geometric and Statistical Relationships Marking Period 4 includes 4 topics of study, listed below. This resource is for Section 2 of Topic 1. Topic 1, Section 1 Relating Area and Volume: Area Topic 1, Section 2 Relating Area and Volume: Volume Topic 2 Topic 3 Topic 4 Surface Area Multi-Digit Computation Statistical Questions Topic 5 Analyzing Data Distributions Learning Goals by Common Core State Standard Topic Relating Area and Volume: Volume Students will be able to... Find the volume of a right rectangular prism. Determine the volume of cubes with fractional edge lengths by using unit cubes with fractional edge lengths Apply strategies to measure volume by looking at the relationship between the area of the base and the height of a prism to derive a formula. Apply the formula for finding the volume of a right rectangular prism to solving real-world problems. Instructional videos in the hyperlinks above are meant to support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS. The Common Core State Standards require a balance of three fundamental components that result in rigorous mathematics acquisition: deep conceptual understanding, procedural skill, and mathematical applications and modeling. RIGOR Deep Conceptual Understanding Relating Area and Volume: Volume Applications and Modeling Procedural Skill Students will reason about realworld situations to solve problems involving volume. Students will build accuracy when using the formula for finding the volume of a right rectangular prism. Students will apply formula for finding the volume of a right rectangular prism to solve problems in a real world context. C2.0 Mathematics 6 Parent Resource Page Marking Period 4: Geometric and Statistical Relationships Topic 1, Section 2: Relating Area and Volume: Volume Learning Experiences by Common Core State Standard In school, your child will… Topic 1, Section 2: Relating Area and Volume: Volume Look at the relationship between the area of the base and the height of a prism to develop the formula for finding the area of a right rectangular prism. o The base of the prism is a rectangle. Area of the base (B) = length (l) width (w). o The volume of the prism (V) = B the height (h) o V B h or V l w h Determine the volume of cubes with fractional edge lengths by using unit cubes with fractional edge lengths. 1 unit cube? 2 o What is the volume of one o How many o above? What is the volume of the prism above? 1 unit cubes are need to fill the prism 2 At home, your child can… Find the volume of different rectangular prisms around the house, e.g. the volume of a cardboard box or a baking dish. Compare the estimated volume of a carton or bottle of liquid (such as 1/2 gallon of milk or a two liter bottle of lemonade) in cubic inches or centimeters to its stated volume in ounces or milliliters. Discuss applications of volume such as determining shipping costs with companies such as DHL or FedEx or with moving companies. Compare the capacity of different shaped suitcases to plan for a trip. Additional Practice Minecraft Volume (game) Volume of Cubes and Prisms (game) Volume of Cubes and Prisms (practice finding the volume or finding the missing dimension) Volume of Cubes and Prisms (practice) Cubes (Explore volume of a rectangular prisms by manipulating rows of cubes or a layer of cubes to fill the box) MP4 Topic 1 Relating Volume (Flexbook) Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS.
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