Unit 1Area
4 lessons1 Week
Area
 Week 1
Lesson 1
Readiness Assessment
We will begin with a readiness assessment that covers basic skills and gives a preview of course material to allow for individualization including review materials, tutoring suggestions, and enrichment based on the results of each individual learner. 
Lesson 2
What is Area?
We will explore tiling the plane as a way to formalize our conceptions about area and interrogate any misconceptions by the end of the lesson students will be able to construct and explain a formal mathematical definition of area as well as find the area of squares and rectangles. 
Lesson 3
What Does Decomposing a Shape Mean?
In this lesson we will expand our understanding of area by decomposing and rearranging shapes to reason about their area beginning with an understanding of the relationships of right triangles and squares using virtual tangrams. By the end of the lesson, students will be able to explain how to find the area of a composite shape by decomposing it and rearranging their parts, explain the process, and explain what it means for two figures to have the same area. 
Lesson 4
How Can We Find the Area?
In this lesson, we will solidify our strategies for finding area including decomposing, rearranging, drawing a larger shape and subtracting negative space, considering it as a shape with a missing piece, and compare which strategies are most efficient depending on the problem we are trying to solve. By the end of the lesson, students will be able to confidently find the area of rectilinear shapes. 
Unit 2Parallelograms
3 lessons2 Weeks
Parallelograms
 Week 1
Lesson 5
What is a Parallelogram?
In this lesson, students will explore shapes to solidify a formal definition and criteria for a parallelogram and then adapt our existing strategies for rectilinear shapes to find the area of parallelograms on a grid. 
 Week 2
Lesson 6
What's the Fastest Way to Find the Area of a Parallelogram?
In this lesson, we will work together to investigate the area of parallelograms and discover through digital interactives and exploration that all parallelograms have pairs of bases and heights which can be multiplied to efficiently find the area. 
Lesson 7
How do Triangles Relate to Parallelograms?
While working on rectilinear shapes, students observe a connection which allowed them to reason about the area of right triangles, in this lesson students will be introduced to the unique relationship between parallelograms and pairs of identical triangles to prepare them for working with the area of triangles. 
Unit 3Triangles
3 lessons1 Week
Triangles
 Week 2
Lesson 8
How can we Find the Area of Triangles?
In this lesson, we will build on our previous work and apply it to triangles using a variety of strategies including decomposing, recomposing, and indirect reasoning. By the end of the lesson, students will be able to use this reasoning to find the area of triangles on and off the grid. 
Lesson 9
What's the Fastest Way to Find the Area of a Triangle? 
In this lesson, we will formalize and generalize the understandings we have built about triangles and apply our knowledge of base and height to organically derive the formula for an area of a triangle. By the end of the lesson, students will be able to identify base and height pairs for any triangle and explain the formula for finding the area of a triangle. 
Lesson 10
What is a Polygon?
In this lesson, students will formalize their definition of a polygon and identify the defining characteristics. They will learn that all polygons can be decomposed into triangles and use this fact to find the area of any polygon. 
Unit 4Surface Area 
3 lessons1 Week
Surface Area 
 Week 3
Lesson 11
What is Surface Area?
In this lesson, we will expand our understanding of area to three dimensions by finding the surface area of rectangular prisms with concrete terms and through constructing their own rectangular prisms using digital interactive snap cubes. 
Lesson 12
What is a Net? How Can we use Nets to Find Surface Area?
In this lesson, students will explore polyhedra including prisms and pyramids and construct their own formal definition, then they will practice constructing prisms from nets and using the nets to find the surface area in efficient ways. 
Lesson 13
How Can we Create Nets for Polyhedra?
In this lesson, students will further develop visual reasoning skills by creating nets for given polyhedra and using those nets to reason about surface area. We will also contrast this understanding with our established understanding of volume from elementary mathematics. 
Unit 5Putting It To Work
2 lessons1 Week
Putting It To Work
 Week 3
Lesson 14
Where do we use this Math in the Real World?
In this lesson, students will apply their math within art projects as they build nets and construct three dimensional models of tents based on the math concepts we have learned. 
Lesson 15
End of Unit Assessment
We will close the unit with a formal assessment to confirm mastery of all the concepts covered in the unit.