# Iwitness News: Breaking Into Geometry

In this interactive geometry unit, students work in differentiated groups to master finding the area and volume of two-dimensional and three-dimensional shapes. Throughout the unit, students use technology – including iPads, video conferencing apps, and 3D printers – to identify shapes around the school and practice geometric calculations. The unit concludes with a final project where students diagram, label, and calculate the volume and surface area of their classroom.

## Iwitness News: Breaking Into Geometry

Iwitness News: Breaking Into Geometry

In this interactive geometry unit, students work in differentiated groups to master finding the area and volume of two-dimensional and three-dimensional shapes. Throughout the unit, students use technology – including iPads, video conferencing apps, and 3D printers – to identify shapes around the school and practice geometric calculations. The unit concludes with a final project where students diagram, label, and calculate the volume and surface area of their classroom.

### Mathematics

MGSE6.G.1

Find area of right triangles, other triangles, quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

MGSE6.G.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 (1/2 u), and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = (length) x (width) x (height) and V= (area of base) x (height) to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

MGSE6.G.4

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

MGSE6.EE.2c

Evaluate expressions at specific values for their variables. Include expressions that arise from formulas in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). *For example, use the formulas V = s³ and A = 6s² to find the volume and surface area of a cube with sides of length s = 1/2.*

MGSE6.NS.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, including reasoning strategies such as using visual fraction models and equations to represent the problem.
*For example:*
* *How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally?*
* *How many 3/4-cup servings are in 2/3 of a cup of yogurt?*
* *How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?*
* *Three pizzas are cut so each person at the table receives ¼ pizza. How many people are at the table?*
* *Create a story context for (2/3)÷(3/4) and use a visual fraction model to show the quotient;*
* *Use the relationship between multiplication and division to explain that (2/3)÷(3/4)=8/9 because 3/4 of 8/9 is 2/3. (In general, (𝑎/𝑏)÷(𝑐/𝑑)=𝑎d /𝑏c .)*

MGSE6.NS.2

Fluently divide multi-digit numbers using the standard algorithm.

MGSE6.NS.3

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard
algorithm for each operation.