Q3W8 Honors Math

Geometry DIA 5 H Study Guide

TeacherKimberlie Hymes
Subject AreaMath
Grade Level6th
Week #27
Unit of InstructionGeometry
Standard(s) Taught

MAFS.6.G.1.2
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 = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

MAFS.8.G.3.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

MAFS.7.G.2.4
Know the formulas for the area and circumference of a circle and solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

Learning Targets and Learning Criteria

• model volume by filling a rectangular prism with unit cubes of fractional length and use the model to determine volume of the prism.
• discover that filling a solid with cubes and counting them gives the same result as using the volume formula.
• reason that finding volume is the same process and uses the same formulas whether the edge lengths are whole units or fractional units.
• solve real-world volume problems where the edge lengths is a fractional unit.

• describe the similarity between finding the volume of a cylinder and the volume of a right prism. (volume is A*h)
• derive the formula to find the volume of a cylinder, a cone, and a sphere
• Informally prove the relationship between the volume of a cylinder and the volume of a cone with the same base; and the volume of a sphere and the volume or a circumscribed cylinder.
• use the formulas to find the volume of cylinders, cones, and spheres.
• solve real-world problems involving the volume of cylinders, cones, and spheres.

• explain the relationship between circumference and diameter of a circle using correct mathematical vocabulary.
• solve mathematical and real-world problems by applying the area of a circle and circumference formulas.
• discover through hands-on experience, and explain the relationship between the circumference and area of a circle.

Classroom Activities

In class, we complete the MATH workshop each period. This is a blended, rotation model of teaching where your student is receiving the standards in multiple different settings while completing many different activities. This allows me to have time with your students in a very small group setting to help when necessary further develop the understanding of the standards.

Wednesdays we do not complete our rotation. We work lessons customized to each students level on I-Ready. These lessons are customized to each learning level and scaffolds the current unit for each student

 

DIA 5 Thursday March 7 Study Guides will be coming home. See attached for extra copies.

Assignments Due

The week students will be assigned the following to practice class concepts:

IXL: (Monday/Tuesday/Wednesday)   6th Grade FF14, 8th Grade T7, T9, T10,  and 7th Grade AA5, AA6

students are expected to reach at least an 80% on these assignments. 

Mathspace: (Thursday/Friday) None

DIA 5 Thursday March 7 Study Guides will be coming home. See attached for extra copies.

Additional Resources

If additional help is needed, students are encouraged to view a lesson regarding a given topic on Khan Academy. This website is free and provides both video instruction as well as practice problems. 

Students are able to complete additional practice on both Mathspace and IXL

www.mathspace.co

www.ixl.com

**** Accommodations provided as needed

 

Please contact me as needed: Remind @ih6honors   or   email: hymesk@ivyhawnschool.org