enVision Mathematics Topic 8
8th Grade; April – May (6 weeks); 4th Quarter
Embedded Files
Topic Title(s):
Solve Problems Involving Surface Area and Volume
Prepared Graduates:
MP3. Construct viable arguments and critique the reasoning of others.
MP6. Attend to precision.
Standard(s):
4. Geometry
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
8.G.C. Geometry: Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
State the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. (CCSS: 8.G.C.9)
Efficiently solve problems using established volume formulas. (Professional Skills: Task/Time Management)
Describe how the formulas for volumes of cones, cylinders, and spheres relate to one another and to the volume formulas for solids with rectangular bases. (MP3)
Use appropriate precision when solving problems involving measurements and volume formulas that describe real-world shapes. (MP6)
Inquiry Questions
How are the formulas of cones, cylinders, and spheres similar to each other?
How are the formulas of cones, cylinders, and spheres connected to the formulas for pyramids, prisms, and cubes?
Coherence Connections
This expectation is in addition to the major work of the grade.
In Grade 7, students solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
In Grade 8, this expectation connects with radicals and integer exponents.
In high school, students apply geometric concepts in mathematical modeling situations and to solve design problems.
Academic Vocabulary & Language Expectations:
Cone, cylinder, sphere, composite figure
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 8 (skip Lesson 8-1)
Let's Investigate! Tasks
Let's Investigate! Shrinkflation (TE) (relates to Lesson 8-2)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: None since this Unit Plan is in addition to the major work of the grade
enVision Mathematics 6-8 & Number Worlds Connections (for SVVSD Special Education teachers only)
Page updated
Report abuse