Students will identify and classify polygons, quadrilaterals, and triangles. Students will also find volume of various prisms and composite figures. Included in this unit, students will also find the perimeter and area of a variety of shapes including triangles and trapezoids and will calculate radii and diameters of circles.

Priority Standards

• 5.C.1: Multiply multi-digit whole numbers fluently using a standard algorithmic approach.
• 5.C.2: Find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Describe the strategy and explain the reasoning used.
• 5.G.1: Identify, describe, and draw triangles (right, acute, obtuse) and circles using appropriate tools (e.g., ruler or straightedge, compass and technology). Understand the relationship between radius and diameter.
• 5.G.2 : Identify and classify polygons including quadrilaterals, pentagons, hexagons, and triangles (equilateral, isosceles, scalene, right, acute and obtuse) based on angle measures and sides. Classify polygons in a hierarchy based on properties.
• 5.M.2: Find the area of a rectangle with fractional side lengths by modeling with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
• 5.M.3: Develop and use formulas for the area of triangles, parallelograms and trapezoids. Solve real-world and other mathematical problems that involve perimeter and area of triangles, parallelograms and trapezoids, using appropriate units for measures.
• 5.M.4: 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 or multiplying the height by the area of the base.
• 5.M.5: Apply the formulas V = l × w × h and V = B × h for right rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths to solve real-world problems and other mathematical problems.

Supporting Standards

• 5.M.4: 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 or multiplying the height by the area of the base.
• 5.M.6: 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-world problems and other mathematical problems.

Essential Questions

• How does geometry help me solve problems in everyday life?
• What are the different formulas to help me solve problems?
• What is the difference with using two-dimensional shapes and three-dimensional shapes?

21^st Century Skills

• Collaboration- Students will work in pairs to figure out how to find the volume of composite figures using centimeter cubes.
• Critical Thinking- Students will find objects around the classroom and find either the volume, area, perimeter, diameter, and radius.