# What is this page?

On this page, you’ll find how this specific lesson plan, Building a Parthenon, is aligned to the Common Core Mathematics Standards organized by grade level, domain, and standard ID with in-depth explanations and examples.

# Standards Alignment

Grade Level |
3rd Grade |
4th Grade |
5th Grade |
6th Grade |
7th Grade |
---|---|---|---|---|---|

Domain |
|||||

Operations &Algebraic Thinking |
3.OA.A.3 3.OA.A.4 3.OA.B.5 3.OA.D.8 |
5.OA.A.1 5.OA.A.2 |
|||

Measurement & Data |
3.MD.C.5.A 3.MD.C.5.B 3.MD.C.6 3.MD.C.7.A 3.MD.C.7.B 3.MD.C.7.D 3.MD.D.8 |
4.MD.A.3 | |||

Expressions & Equations |
6.EE.A.2.A 6.EE.A.2.B 6.EE.B.6 6.EE.B.7 6.EE.C.9 |
7.EE.B.4.A |

# 3rd Grade

## Operations & Algebraic Thinking

**Represent and solve problems involving multiplication and division.**

- CCSS.MATH.CONTENT.3.OA.A.3: The Parthenon lesson plan involves multiplication using the formula for perimeter, area, and stairs. It also includes division when we figure out how many column blocks we need (
**C = H(P/2))** - CCSS.MATH.CONTENT.3.OA.A.4: After determining the length, width, and height of their structure, students will manipulate those numbers via multiplication and division to determine area, perimeter, blocks for stairs, and many other formulas.

The stairs and columns for the Parthenon have their own formulas, adding a layer of complexity to this lesson plan, as well as aesthetic value to the structure. |

**Understand properties of multiplication and the relationship between multiplication and division.**

- CCSS.MATH.CONTENT.3.OA.B.5: In the Basic House, Farm, and Parthenon lesson plans, students learn are given opportunities to learn about the commutative, associative, and distributive properties of multiplication through the equations for perimeter and area.

**Solve problems involving the four operations, and identify and explain patterns in arithmetic.**

- CCSS.MATH.CONTENT.3.OA.D.8: In the Algebra Architecture lesson plans, students are constantly using the four main operations with letters standing for unknown quantities. Students are using formulas to help them solve other formulas.

The formulas using in creating the Parthenon involve all four operations. |

## Measurement & Data

**Geometric measurement: understand concepts of area and relate area to multiplication and to addition.**

- CCSS.MATH.CONTENT.3.MD.C.5.A: In the Algebra Architecture lesson plans which include building a house, farm, road, and Parthenon, students are measuring side lengths by blocks, which are essentially unit squares.
- CCSS.MATH.CONTENT.3.MD.C.5.B: In the Algebra Architecture lesson plans, students are measuring length and width to calculate the area of their structure, which can be measured in units squared.
- CCSS.MATH.CONTENT.3.MD.C.6: Students are using improvised units (e.g. blocks) to measure the area in the Algebra Architecture lesson plans. After calculating their area, they can check their work by counting the number of blocks.

Being able to calculate the area of a structure is an essential skill in this lesson plan. |

- CCSS.MATH.CONTENT.3.MD.C.7.A: After measuring the length and width of their structure, students calculate the area by multiplying the dimensions.
**A = LxW** - CCSS.MATH.CONTENT.3.MD.C.7.B: Students are using whole-number side lengths to find the areas of rectangular structures that can easily be translated to real-life contexts (e.g. architecture).
- CCSS.MATH.CONTENT.3.MD.C.7.D: Since structures in
*Minecraft*are already decomposed into clearly visible units of measurement (blocks), it makes it very apparent that area is additive.

**Geometric measurement: recognize perimeter.**

- CCSS.MATH.CONTENT.3.MD.D.8: In three of the five lessons of Algebra Architecture — Building a House, Farm, and Parthenon — students are solving for perimeter given the measurements of the dimensions of their structures. When given the opportunity to build multiple structures, students can see that different dimensions may have the same area but different perimeters (e.g. 8×5 and 10×4) and vice versa.

# 4th Grade

## Measurement & Data

**Solve problems involving measurement and conversion of measurements.**

- CCSS.MATH.CONTENT.4.MD.A.3: Students are directly using the formulas for area and perimeter to build digital structures, which can be applied to real-life contexts, such as architecture.

By creating historical structures and other architecture seen in real-life, students will hopefully begin transferring their knowledge from pen and paper to the digital space to the real world. |

# 5th Grade

# Operations & Algebraic Thinking

**Write and interpret numerical expressions.**

- CCSS.MATH.CONTENT.5.OA.A.1: In the house, farm, and Parthenon lesson plans, students use various formulas, including area and perimeter, that contain parentheses; they must be able to evaluate these calculations correctly by applying the order of operations.
- CCSS.MATH.CONTENT.5.OA.A.2: When creating walls or columns, students will understand that finding the number of blocks involves manipulating the perimeter (multiplying and/or dividing the perimeter by a whole-number). By setting up the formula without solving it, students will be able to interpret the numeral expression before solving it.

# 6th Grade

# Expressions & Equations

**Apply and extend previous understandings of arithmetic to algebraic expressions.**

- CCSS.MATH.CONTENT.6.EE.A.2.A: In the Parthenon lesson plan, students are solving for the unknown variables of total number of materials (
**M**), stairs (**S**), total blocks (**B**), columns (**C**), area (**A**), and perimeter (**P**) when they determine what their values are for the length, width, and height. - CCSS.MATH.CONTENT.6.EE.A.2.B: When solving the equation for perimeter in
*Minecraft*,**P = 2(L+W) – 4**, students should be able to explain that perimeter is the “product of two times the sum of the length and width, minus four.” They will do this throughout as the lessons challenge students to use language to describe each of the formulas being used.

**Reason about and solve one-variable equations and inequalities.**

- CCSS.MATH.CONTENT.6.EE.B.6: The equations for the basic house, road, farm, and Parthenon lesson plans are comprised of perimeter, area, height, length, width – all mathematical terms that are used in real-life. Furthermore, students begin to build an understanding of how to read algebra as a language where variables stand for unknown numbers.
- CCSS.MATH.CONTENT.6.EE.B.7: In the house, farm, road, and Parthenon lesson plans, students must evaluate expressions in which letters stand for numbers on both sides of the equation (e.g. A = LxW), and build an understanding of the relationship between variables in a given expression.

**Represent and analyze quantitative relationships between dependent and independent variables.**

- CCSS.MATH.CONTENT.6.EE.C.9: Since many formulas used in the house, road, farm, and Parthenon lesson plans involve variables on both sides of the expression (A = LxW, P = 2(L+W) – 4, S = 3L/2), students will see that changing one variable will result in the change of the other variable.

The variables and formulas and in this lesson plan build on one another, challenging students to solve increasingly complex algebraic equations. |

# 7th Grade

## Expressions & Equations

**Solve real-life and mathematical problems using numerical and algebraic expressions and equations.**

- CCSS.MATH.CONTENT.7.EE.B.4.A: In using the formulas for perimeter and area in the house, farm, and Parthenon lesson plans, students are manipulating the variables to determine their given values. For example, if a student wants to make their Area = 35 and are given width = 5, they must set up the equation to determine what the length would be.