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# Geometry

## Narrative for the (G) Geometry Domain

Grade 3 students analyze, compare, and classify two-dimensional shapes by their properties. They explicitly relate and combine these classifications. Because they have built a firm foundation of several shape categories, these categories can be the foundation for thinking about the relationships between classes.

Students investigate, describe, and reason about decomposing and composing polygons to make other polygons. Problems such as finding all the possible different compositions of a set of shapes involve geometric problem solving and understanding of congruence and symmetry

Students in Grade 3 also develop more competence in the composition and decomposition of rectangular regions, spatially structuring rectangular arrays.  They count by the number of columns or rows, or use multiplication to determine the number of squares in the array.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-03.G.01

3rd Grade (MAT) Targeted Standard
(G) Geometry
Cluster: Reason with shapes and their attributes.

#### MAT-03.G.02

Under Development

 MAT-03 Targeted Standards(G) Domain: GeometryCluster: Reason with shapes and their attributes. MAT-03.G.02 Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

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# Measurement and Data

## Narrative for (MD) Measurement and Data

Students in Grade 3 learn to solve a variety of problems involving measurement and such attributes as length and area, liquid volume, mass, and time.They focus on solving real-world and mathematical problems involving perimeters of polygons. Third graders also focus on learning area. Students learn formulas to compute area, with those formulas based on, and summarizing, a firm conceptual foundation about what area is.

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. 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.

In Grade 3, the most important development in data representation for categorical data is that students now draw picture graphs in which each picture represents more than one object, and they draw bar graphs in which the height of a given bar in tick marks must be multiplied by the scale factor in order to yield the number of objects in the given category. These developments connect with the emphasis on multiplication in this grade. At the end of Grade 3, students can draw a scaled picture graph or a scaled bar graph to represent a data set with several categories (six or fewer categories).

## Calculation Method for Domains

Domains are larger groups of related standards. So the DomainGrade is a calculation of all the related standards. So click on the standard name below each Domain to access the learning targets and proficiency scales for each Domain's related standards.

#### MAT-03.MD.01

3rd Grade (MAT) Targeted Standard
(MD) Measurement and Data
Cluster: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

#### MAT-03.MD.02

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. MAT-03.MD.02 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). Add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as a beaker with a measurement scale) to represent the problem.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

### Vocabulary

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#### MAT-03.MD.03

3rd Grade (MAT) Targeted Standard
(MD) Measurement and Data
Cluster: Represent and interpret data.

#### MAT-03.MD.04

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Represent and interpret data. MAT-03.MD.04 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

### Vocabulary

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#### MAT-03.MD.05

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.05 Recognize area as an attribute of plane figures and understand concepts of area measurement.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

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#### MAT-03.MD.05.a

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.05.a Recognize area as an attribute of plane figures and understand concepts of area measurement. -A square with side length 1 unit, called a unit square, is said to have one square unit of area, and can be used to measure area.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

### Vocabulary

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#### MAT-03.MD.05.b

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.05.b Recognize area as an attribute of plane figures and understand concepts of area measurement. -A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

### Vocabulary

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#### MAT-03.MD.06

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.06 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

### Vocabulary

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#### MAT-03.MD.07

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.07 Relate area to the operations of multiplication and addition:

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

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#### MAT-03.MD.07.a

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.07.a Relate area to the operations of multiplication and addition: Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.

## Resources

### Vocabulary

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#### MAT-03.MD.07.b

Under Development

 MAT-03 Targeted Standards(MD) Domain: Measurement and DataCluster: Geometric measurement: understand concepts of area and relate area to multiplication and to addition. MAT-03.MD.07.b Relate area to the operations of multiplication and addition: Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real-world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

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## Proficiency (Rubric) Scale

 Score Description Sample Activity 4.0 Student is able to - 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 “The Standard.” Student is able to - 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 - 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 - 0.5 Limited or no understanding of the skill id demonstrated.