Course Overview

Prerequisite Knowledge (may need review/remediation): CCSS assumes prerequisite knowledge taught in 4th grade, of parallel lines,
perpendicular lines, angles, and measuring angles taught in 4th grade as well as area, perimeter, and classifying polygons from 3rd and 4th
grade. Vocabulary: polygon, rhombus/rhombi, rectangle, square, triangle, quadrilateral, pentagon, hexagon, cube, trapezoid, half/quarter
circle. circle.

1. Geometry – Classify two-dimensional figures into categories based on their properties.

5.G.3 – Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.
5.G.4 — Classify two-dimensional figures in a hierarchy based on properties.
II. Measurement and Data -Geometric measurement: understand concepts of volume and relate volume to multiplication and
to addition

5.MD.3 — Recognize volume as an attribute Of solid figures and understand concept Of volume measurement.
a. A cube with side length I unit. called a “unit cube,” is said to have -one cubic unit” of volume, and can be used to measure volume.
b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

5.MD.4 — Measure volumes by counting unit cubes, using cubic cm. cubic in, cubic ft, and improvised units.

5.MD.5 – Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the
same as would be found by multiplying the edge lengths, equivalent by multiplying the height by the area of the base. Represent threefold
whole-number products as volumes, e.g., to represent the associative property of multiplication.
b. Apply the formulas V: I x w x h and V b x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge
lengths in the context of solving real world and mathematical problems.
c. Recognize volume as additive. Find volumes of solid figures composed of two non•overlapping right rectangular prisms by adding the
volumes Of the non•overlapping parts, applying this technique to solve real word problems.