# BPSS (MAT) Mathematics Standards

## Fifth Grade Math

# MAT-05 "I can ... statements"

**ALL**

## M |
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## MAT-05.G
## Narrative for the (G) GeometryBy the end of Grade 5, competencies in shape composition and decomposition, and especially the special case of spatial structuring of rectangular arrays should be highly developed. Students need to develop these competencies because they form a foundation for understanding multiplication, area, volume, and the coordinate plane. Students extend their spatial structuring in two ways. They learn to spatially structure in three dimensions; for example, they can decompose a right rectangular prism built from cubes into layers, seeing each layer as an array of cubes. They use this understanding to find the volumes of right rectangular prisms with edges whose lengths are whole numbers as the number of unit cubes that pack the prisms. Second, students extend their knowledge of the coordinate plane, understanding the continuous nature of two-dimensional space and the role of fractions in specifying locations in that space. Students in Grade 5 learn to analyze and relate categories of two-dimensional and three-dimensional shapes explicitly based on their properties. Based on analysis of properties, they classify two-dimensional figures in hierarchies. Students also solve mathematical and real-world problems using coordinates. They graph connect ordered pairs of (whole number) coordinates to points on a grid, so that these coordinate pairs constitute numerical objects. Students then interpret the results within the context of situation. ## Calculation Method for Domains
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## MAT-05.G.01
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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## MAT-05.G.02
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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## MAT-05.G.03
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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## MAT-05.G.04
## Student Learning Targets:## Knowledge Targets- I can identify attributes of two-dimensional shapes (square, rectangle, rhombus).
## Reasoning Targets- I can classify shapes in a hierarchy based on their properties and attributes.
## Skills (Performance) Targets
## Product Targets
## Rubric / Proficiency Scale
## Resources## Websites## Vocabulary- classify
- category
- attribute - features
- subcategory
- hierarchy
- two dimensional
- properties
- polygon
- quadrilateral
- rectangle
- square
- rhombus
- parallelogram
- parallel sides
- right angles
- congruent
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## MAT-05.MD
## Narrative for the (MD) Measurement and DataIn Grade 5, students extend their measurement abilities from Grade 4 to express measurements in larger or smaller units within a measurement system. The major emphasis for measurement in Grade 5 is volume. Volume not only introduces a third dimension and thus a significant challenge to students’ spatial structuring, but also complexity in the nature of the materials measured. As students work with data in Grades K–5, they build foundations for their study of statistics and probability in Grades 6 and beyond, and they strengthen and apply what they are learning in arithmetic. Kindergarten work with data uses counting and order relations. In Grades 3–5, work with data is closely related to the number line, fraction concepts, fraction arithmetic, and solving problems that involve the four operations. By the end of Grade 5, students should be comfortable making line plots for measurement data and analyzing data shown in the form of a line plot. As in earlier grades, students should work with data in science and other subjects. Grade 5 students working in these contexts should be able to give deeper interpretations of data than in earlier grades. ## Calculation Method for Domains
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## MAT-05.MD.01
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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## MAT-05.MD.02
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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## MAT-05.MD.03
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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## MAT-05.MD.03.a
## Student Learning Targets:## Knowledge Targets- I can
## Reasoning Targets- I can
## Skills (Performance) Targets
- I can
## Product Targets- I can
## Proficiency (Rubric) Scale
## Resources## Websites- Add resources with links, youtube or PDF
## Vocabulary- List
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