Relating Area and Volume: Area 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 Topic 5 Analyzing Relating Area and Relating Area and Multi-Digit Statistical Surface Area Data Volume: Volume Computation Questions Volume: Area Distributions

Topic Learning Goals by Common Core State Standard 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

Area decomposing them into triangles and other shapes.

:

Area and Area and  Apply strategies for finding area of triangles and other polygons to solving real-world

problems.

Volume Instructional videos in the hyperlinks above are meant to support C2.0 content, Relating 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 Relating Area and Deep Volume: Area Conceptual Applications Understanding and Modeling Procedural Skill

Students will Students will apply reason about real- formulas for area of a triangle and world situations to solve problems Students will build rectangle to solve involving area. accuracy when problems in a real composing and world context. decomposing figures to find area. 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… At home, your child can…

 Develop the understanding that the area formula for a  Find the area of different objects around the house, e.g. the area of a parallelogram is A=bh by decomposing them to make coffee table or a picture. rectangles.  Design the layout for a room. o Use an online room planner and find the area of different pieces of furniture. ç ç 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 bh pieces of it.  Develop the formula for the area of a triangle as A = by o Sample Bat house Plan - 2 http://www.npwrc.usgs.gov/resource/wildlife/ndblinds/smallbat. exploring triangles as half of a rectangle or parallelogram. htm

Area and Area Volume:Area and

 Map a playground given specific shapes and areas.

Relating Additional Practice  Area Explorer – Rectangles (practice)  Find the area of a trapezoid by decomposing it into other  Area Fact Monster – Triangles (game) shapes.  Area – Mixed (practice)  Area (practice)  Area of Composite Figures (practice)

Topic 1, Section 1:Topic Section 1,  MP4 Topic 1 Understanding Area (Flexbook)

Note: In Grade 6, students are not expected to be proficient Additional Practice links support C2.0 content, with the area formula for a trapezoid. They are expected to but may use vocabulary or strategies not emphasized by MCPS. find it by composing or decomposing them into rectangles triangles and other shapes.

Relating Area and Volume: Volume 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 Topic 1, Section 2 Topic 2 Topic 3 Topic 4 Topic 5 Relating Area Analyzing Relating Area and Multi-Digit Statistical and Volume: Surface Area Data Volume: Area Computation Questions Volume Distributions

Topic Learning Goals by Common Core State Standard 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

Area and Area and 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.

Volume: Volume

Relating 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 Relating Area and Volume: Deep Volume Conceptual Applications Understanding and Modeling Procedural Skill

Students will Students will apply reason about real- formula for finding world situations to the volume of a Students will build solve problems right rectangular accuracy when using involving volume. prism to solve the formula for problems in a real finding the volume of world context. a right rectangular prism. 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… At home, your child can…

 Look at the relationship between the area of the base and  Find the volume of different rectangular prisms around the house, e.g. the height of a prism to develop the formula for finding the the volume of a cardboard box or a baking dish. area of a right rectangular prism. o The base of the prism is a rectangle. Area of the  Compare the estimated volume of a carton or bottle of liquid (such as 1/2

base (B) = length (l)  width (w). gallon of milk or a two liter bottle of lemonade) in cubic inches or o The volume of the prism (V) = B  the height (h) centimeters to its stated volume in ounces or milliliters. o V B h or V l  w  h  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.

Area and Volume:Area and Volume Additional Practice  Determine the volume of cubes with fractional edge lengths  Minecraft Volume (game) by using unit cubes with fractional edge lengths.  Volume of Cubes and Prisms (game)

Relating  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)

Topic 1, Section 2:Topic Section 1, 1 o What is the volume of one unit cube? 2 Additional Practice links support C2.0 content, but may use vocabulary or strategies not emphasized by MCPS. o How many unit cubes are need to fill the prism above? o What is the volume of the prism above?