#### MAT-05.MD.05

 MAT-05 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. MAT-05.MD.05 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. a.) Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. b.) Apply the formulas V=l x h x w and V=b x h for rectangular prisms to find volumes of right rectangular prisms with whole number edge lengths in the context of solving real world and mathematical problems. c.) Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the parts, applying this technique to solve real world problems.

## Student Learning Targets:

### Reasoning Targets

• I can recognize volume as additive when finding the volume of solid figures made of two rectangular prisms.

### Skills (Performance) Targets

• I can find the volume of a right rectangular prism using unit cubes.
• I can show volume by multiplying the edge lengths of a rectangular prism.
• I can show volume by multiplying the height by the area of the base of a rectangular prism.
• I can use the formulas ( V= l x w x h) and ( V=b x h ) to find the volume of right rectangular prisms in real world problems.
• I can find the volume of solid figures made of two rectangular prisms.

## Rubric / Proficiency Scale

 Score Description Sample Activity 4.0 Advanced Criteria is Under Development - 3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success. 3.0 Student is able to find the volume of rectangular prisms by applying the formulas V=l x w x h and V=b x h to multiply the edge lengths and  find volumes of solid figures made of two rectangular prisms.  I can use the formulas ( V= l x w x h) and ( V=b x h ) to find the volume of right rectangular prisms in real world problems. I can find the volume of solid figures made of two rectangular prisms. I can recognize volume as additive when finding the volume of solid figures made of two rectangular prisms. - 2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content. 2.0 Student is able to find the volume of a rectangular prism using multiplication or unit cube drwings and has partial understanding of finding the volume of solid figures made of two rectangular prisms. I can find the volume of rectangular prisms using formulas and multiplication, but I may have errors. I can show volume by multiplying the edge lengths of a rectangular prism. I can show volume by multiplying the height by the area of the base of a rectangular prism. - 1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content. 1.0 Student is able to demonstrate understanding of volume using unit cubes and counting. I can find the volume of rectangular prisms using cubes and counting to find the total. - 0.5 Limited or no understanding of the skill is demonstrated.

## Resources

### Vocabulary

• volume
• length
• width
• height
• edge
• right rectangular prisms
• formula
• equation
• unit cubes
• multiply
• solid figure
• 3 dimensional