Building on their knowledge of volume from earlier grades (5.MD.5), students learn how to find volume of rectangular prisms with fractional side lengths. Students also model 3D figures with nets and use the nets to find surface area. Students apply their ability to evaluate expressions as they calculate area, surface area, and volume using appropriate formulas.
PACING = 2 weeks
⊡ Students will draw polygons using coordinates to find the lengths of sides. (6.G.3) (MP.7)
I can draw polygons on a coordinate plane and use the coordinates to find the lengths of the side(s). (6.G.3)
I can use graphed polygons on the coordinate plane to help me solve real world problems. (6.G.3)
⊡ Students will apply concepts and reasoning of area, volume, and surface area to solve real-world and mathematical problems looking for regularity in repeated reasoning. (6.G.1, 6.G.2, 6.G.4) (MP.1, MP.4, MP.6)
I can find the area of triangles, quadrilaterals, and polygons by decomposing shapes to help me find the area in a real-world problem. (6.G.1)
I can find the volume of right rectangular prisms expressed as a proper or improper fraction in various real-world and mathematical situations. (6.G.2)
I can represent 3D shapes using nets and use the net to help find the surface area of the figure. (6.G.4)
∎ Major Content ⊡ Supporting Content 🌕 Additional Content
New Vocab: base (of a parallelogram), height (of a parallelogram), base (of a triangle), height (of a triangle), net, prism, pyramid, right prism, right rectangular prism, surface area
Review Vocab: area, compose, decompose, dimension, parallelogram,rectangle, quadrilateral, right triangle, perpendicular, difference, expression, polygon, product, trapezoid (exclusive), trapezoid (inclusive), cube, edge, face, vertex/vertices, point, base (of a three-dimensional figure), volume, formula, coordinates, coordinate plane
Academic Vocab: corresponds to, represent, identical, vertical, approach, diagram, maximum
*The computational strategies that you practice during number talks does NOT have to align with the core math content. Number talks are meant to practice fluency strategies, not teach new content.
I can find the area of triangles, quadrilaterals, and polygons by decomposing shapes to help me find the area in a real-world problem. (6.G.1)
Ready Teacher Toolbox Lesson 1: Find the Area of a Parallelogram -Sessions 1-3
Lesson 2: Find the Area of Triangles and Other Polygons -Sessions 1-4
Assessment Tasks UPDATED 6th grade bank 6.G.1 Proficiency Rubrics 6.G.1, IAR sample questions 6.G.1
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 1 Shape the Shift & Lesson 2 Building Shapes
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
I can represent 3D shapes using nets and use the net to help find the surface area of the figure. (6.G.4)
Ready Teacher Toolbox Lesson 3: Use Nets to Find Surface Area -Sessions 1-4
Assessment Tasks UPDATED 6th grade bank 6.G.4 Proficiency Rubrics G.4 IAR sample questions 6.G.4
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 3 Box Stretch
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
I can find the volume of right rectangular prisms expressed as a proper or improper fraction in various real-world and mathematical situations. (6.G.2)
Ready Teacher Toolbox Lesson 11: Solve Volume Problems with Fractions -Sessions 1-4
Assessment Tasks 6th grade bank 6.G.2 Proficiency Rubrics G.2, IAR sample questions 6.G.2
Prior knowledge/Just in Time support & Enrichment RTTB Lesson 11 Turn Down the Volume
Nearpod Math lessons Open Middle tasks
Interactive manipulatives
“Closure in a lesson does not mean to pack up and move on. Rather, it is a cognitive activity that helps students focus on what was learned and whether it made sense and had meaning.” How the Brain Learns Mathematics (2007) P. 104
There are many ways to wrap up and reflect the day's activities but this step is often overlooked or rushed. Purposely plan and allow time for students to have closure each day (even if it means setting a timer or daily alarm so you don't run out of time).
Ideas for closure activities