Third Grade Math


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MAT-03.G

BPSS-MAT-logoDomain (G)

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

MAT-03 Targeted Standards
(G) Domain: Geometry
Cluster: Reason with shapes and their attributes.

MAT-03.G.01 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.

Student Learning Targets:

Knowledge Targets

  • I can identify shapes that are quadrilaterals.

Reasoning Targets

  • I can sort and classify shapes by their attributes.

Skills (Performance) Targets

  • I can draw shapes that do not belong to a group according to their attributes and explain why.

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Advanced Criteria is Under Development

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content.

-
  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  identify quadrilaterals, classify shapes, and draw examples of quadrilaterals that are not in the same categories as square, rectangle, and rhombus without error.

I can draw quadrilaterals that do not belong to the same category as squares, rectangles, and rhombuses and explain why.

I can sort and classify shapes according to their attributes.

I can identify shapes that are quadrilaterals.

-
  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 identify shapes that are quadrilaterals and sort and classify shapes based on their attributes without error.

I can sort and classify shapes according to their attributes.

I can identify shapes that are quadrilaterals.

-
  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 beginning understanding that shapes belong in different categories and can  identify shapes that are quadrilaterals, but may exhibit errors.

I can identify shapes that are quadrilaterals, but I may have some mistakes.

-
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • attributes / features
  • category
  • polygons
  • quadrilateral
  • open figure
  • closed figure
  • rhombus
  • rectangle
  • square
  • properties
  • trapezoid
  • classify
  • label
  • characteristics

MAT-03.G.02

Under Development

MAT-03 Targeted Standards
(G) Domain: Geometry
Cluster: 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.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

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

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 


MAT-03.MD

BPSS-MAT-logoDomain (MD)

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

MAT-03 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

MAT-03.MD.01 Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.

Student Learning Targets:

Skills (Performance) Targets

  • I can solve word problem about things that happen over time.
  • I can read and write time to the minute using analog and digital clocks.
  • I can draw hands on a clock to show the time.

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Advanced Criteria is Under Development.

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content.

-
  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 tell time to the nearest minute and measure time intervals in minutes and solve word problems involving addition and subtraction of time intervals in minutes with only minor error.

I can solve word problems about things that happen over time.

I can read and write time to the minute using analog and digital clocks.

I can draw hands on a clock to show the time.

-
  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 tell time to the nearest minute without error, but demonstrates partial understanding of measuring time intervals in minutes and solving word problems about elapsed time.

I can read and write time to the minute using analog and digital clocks with no errors.

I can draw hands on a clock to show the time with no errors.

I can sometimes solve word problems about things that happen over time.

-
  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 beginning understanding of telling time to the minute and the concept of elapsed time.

I can sometimes read and write time to the minute using analog and digital clocks.

I can sometimes draw hands on a clock to show the time.

I can sometimes solve word problems about things that happen over time.

-
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • time
  • clock
  • analog clock
  • digital clock
  • time intervals
  • elapsed time
  • hour
  • minute
  • nearest minute

 


MAT-03.MD.02

Under Development

MAT-03 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: 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.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

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

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 


MAT-03.MD.03

Under Development

MAT-03 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Represent and interpret data.

MAT-03.MD.03 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step how many more and how many less problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

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

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 


MAT-03.MD.04

Under Development

MAT-03 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: 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

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

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

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 


MAT-03.MD.05

Under Development

MAT-03 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: 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.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

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

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 


MAT-03.MD.05.a

Under Development

MAT-03 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: 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.

Student Learning Targets:

Knowledge Targets

  • I can

Reasoning Targets

  • I can

Skills (Performance) Targets

  • I can

Product Targets

  • I can

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

Websites

  • Add resources with links, youtube or PDF

Vocabulary

  • List

 



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