# What is this page?

In this page, you’ll find how this specific lesson plan, Building a Road, 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 | 4th | 5th | 6th | 7th |
---|---|---|---|---|---|

Domain |
|||||

Operations &Algebraic Thinking |
3.OA.A.3 3.OA.A.4 3.OA.B.6 3.OA.D.8 |
4.OA.A.3 | 5.OA.A.1 | ||

Number & Operations—Fractions |
5.NF.B.3 | ||||

Measurement & Data |
3.MD.C.5.A | ||||

Ratios & Proportional Relationships |
6.RP.A.1 | 7.RP.A.2.C | |||

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: Students are using multiplication
*and*division to find the total number of materials needed to build a road in*Minecraft.* - CCSS.MATH.CONTENT.3.OA.A.4:Students are using multiplication and division to determine the products and quotients of materials they need to build the road.

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

- CCSS.MATH.CONTENT.3.OA.B.6: In the Building a Road lesson plan, students become aware that the slabs they need to build are half of the blocks they will mine. Thus, dividing by 2 will show them the number of blocks they need.

**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.

Calculating the blocks that make up the road involves multiplication and division. |

## 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 , students are measuring side lengths by blocks, which are essentially unit squares.

# 4th Grade

## Operations & Algebraic Thinking

**Use the four operations with whole numbers to solve problems.**

- CCSS.MATH.CONTENT.4.OA.A.3: In building their roads, students will have to divide whole numbers to calculate how many blocks they need to make their walkway. Depending on the length they choose, students may encounter remainders and round accordingly (
**S = 3L/2**).

Calculating the total number of blocks to make the road involves all four operations. |

# 5th Grade

## Operations & Algebraic Thinking

**Write and interpret numerical expressions.**

- CCSS.MATH.CONTENT.5.OA.A.1: In building the road, students will use formulas that have parenthesis and must be able to evaluate expressions with these symbols.

## Numbers & Operations – Fractions

**Apply and extend previous understandings of multiplication and division.**

- CCSS.MATH.CONTENT.5.NF.B.3: When using the formula for slabs (
**S = 3L/2)**, students develop an understanding what each of the symbols and letters stand for. The 3 indicates the width of the road, L stands for a yet to be determined length, and the 2 shows that slabs are a half of a block. Thus, the student comes to an understanding that to get the number of blocks we need for the walkway of the road, we must multiply the length by the width and divide by 2.

# 6th Grade

## Ratios & Proportional Relationships

**Understand ratio concepts and use ratio reasoning to solve problems.**

- CCSS.MATH.CONTENT.6.RP.A.1: Since slabs are half of blocks but players can only mine in blocks, students must understand the ratio of blocks to slabs (1:2) to calculate how many blocks they need to build a slab walkway.

The equation for slabs in Minecraft involves ratios. “How many blocks will it take to make X amount of slabs?” |

### Expressions & Equations

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

- CCSS.MATH.CONTENT.6.EE.A.2.A: In the Building the Road lesson plan, students must solve for the unknown variables of total number of blocks needed for the road (
**R)**, blocks for the border (**B)**, and blocks for the walkway (**C**). - 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.

# 7th Grade

## Ratios & Proportional Relationships

**Analyze proportional relationships and use them to solve real-world and mathematical problems.**

- CCSS.MATH.CONTENT.7.RP.A.2.C: After understanding the ratios of blocks to slabs (1:2), students are using the formula S =
**3L/2**to calculate how many blocks they need to craft the number of slabs required to make the walkway.

## 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.

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