### Topic 17

17-1 Perimeter ** | 6.EE.2.c | M06-S4C4-05 |

17-2 Area of Rectangles and Irregular Figures** | 6.EE.2.c | M06-S4C4-04, M06-S4C4-05, M06-S5C1-02 |

17-3 Area of Parallelograms and Triangles** | 6.EE.2.c | M06-S4C4-04, M06-S4C4-05, M06-S5C1-02 |

17-4 Step-Up Lesson: Circumference |
7.G.4 | M06-S4C1-01 |

17-5 Step-Up Lesson: Area of a Circle |
7.G.4 | |

17-6 Problem Solving: Use Objects | 6.G.4 | |

18-5 Volume of Rectangular Prisms | 6.G.2 | M06-S4C4-06 |

CCSS.MATH.CONTENT.6.EE.A.2.C

Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used 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 = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.CCSS.MATH.CONTENT.6.G.A.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, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulasV = l w handV = b hto find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.CCSS.MATH.CONTENT.6.G.A.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.CCSS.MATH.CONTENT.7.G.B.4

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

### Tip of the Day

How often do you tap into the “Problem-Based Interactive Learning” to develop the concept? In my opinion, those pieces are key to helping students develop the conceptual understanding of the lesson. It’s what moves students beyond memorization of steps to understanding the why and the beauty of mathematics!

### Technology Integration Resources

**Khan Academy**

**Learn Zillion**

- Evaluate algebraic expressions with exponents
- Evaluate one-step algebraic expressions by substitution
- Write and evaluate algebraic expressions using formulas
- Evaluate multiple step algebraic expressions by substitution
- Find the area of a square and the surface area of a cube
- Find the volume of a cube
- Solve express by substituting variables w values

### Math Practices

Which two math practices should be in every lesson? The two that I would argue develop mathematical habits of mind: #1) Make sense of problems and persevere in solving them, and #2) Attend to precision.

**What does a student do when engaged in the above two math practices?**

**What does a teacher need to do to set up opportunities for students to engage in the above two math practices?**

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