Second Grade Math


(MD) Measurement and Data

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MAT-02.MD

BPSS-MAT logoDomain (MD)

Measurement and Data

Narrative for the (MD) Measurement and Data

Second graders learn to measure length with a variety of tools, such as rulers, meter sticks, and measuring tapes. To learn measurement concepts and skills, students might use both simple rulers (e.g., having only whole units such as centimeters or inches) and physical units (e.g., manipulatives that are centimeter or inch lengths). Second graders also learn the concept of the inverse relationship between the size of the unit of length and the number of units required to cover a specific length or distance. For example, it will take more centimeter lengths to cover a certain distance than inch lengths because inches are the larger unit.

In Grade 2, students learn to combine and compare lengths using arithmetic operations to solve word problems. That is, they can add two lengths to obtain the length of the whole and subtract one length from another to find out the difference in lengths.

After experience with measuring, second graders learn to estimate lengths. Real-world applications of length often involve estimation. Skilled estimators move fluently back and forth between written or verbal length measurements and representations of their corresponding magnitudes on a mental ruler (also called the “mental number line”).

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. First- and second-graders solve addition and subtraction problems in a data context.  Students in Grade 2 draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. They solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

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-02.MD.01

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Measure and estimate lengths in standard units.

MAT-02.MD.01 Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes.

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-02.MD.02

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Measure and estimate lengths in standard units.

MAT-02.MD.02 Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen.

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-02.MD.03

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Measure and estimate lengths in standard units.

MAT-02.MD.03 Estimate lengths using units of inches, feet, centimeters, and meters.

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-02.MD.04

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Measure and estimate lengths in standard units.

MAT-02.MD.04 Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit.

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-02.MD.05

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Relate addition and subtraction to length.

MAT-02.MD.05 Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number 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-02.MD.06

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Relate addition and subtraction to length.

MAT-02.MD.06 Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, ..., and represent whole-number sums and differences within 100 on a number line diagram.

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-02.MD.07

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Work with time and money.

MAT-02.MD.07 Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m.

Student Learning Targets:

Knowledge Targets

Reasoning Targets

  • I can decide if the time of an activity would happen during the a.m. or p.m. based on words such as morning, afternoon, evening, breakfast, supper, etc.

Skills (Performance) Targets

  • I can read/tell the time up to 5 minute intervals using analog and digital clocks.
  • I can write the time shown on an analog clock up to 5 minute intervals.
  • I can draw the hands on an analog clock to match the time on a digital clock.

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Student is able to tell and write time to the nearest minute; measure time intervals in minutes; and solves word problems involving elapsed time situations for intervals in minutes without error.

I can tell and write time to the minute.

I can solve word problems about elapsed time.

-
  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 demonstrate understanding of all time concepts without error/one minor error (identify am/pm situations, write time shown on analog clocks, draw hands to match a digital time).

I can answer questions about a.m. and p.m. without mistakes.

I can write the time shown on an analog clock without mistakes.

I can draw hands on a clock to match a digital time without mistakes.

-
  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 demonstrate understanding of at least 2 out of 3 time concepts without error (identify am/pm situations, write time shown on analog clocks, draw hands to match a digital time).

I can answer questions about a.m. and p.m. without mistakes.

I can write the time shown on an analog clock without mistakes.

I can draw hands on a clock to match a digital time without mistakes.

-
  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 time concepts but has multiple errors.

I can answer some questions about a.m. and p.m.

I can sometimes tell the time shown on an analog clock.

I can sometimes write the time shown on an analog clock.

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

Resources

Websites

Vocabulary

  • clocks
  • minute hand
  • hour hand
  • hour
  • minute
  • count by fives
  • a.m.
  • p.m.
  • o'clock
  • analog clock
  • digital clock
  • half hour
  • thirty minutes before/after/past/until
  • fifteen minutes before/after/past/until
  • quarter past / 'til
  • half past / 'til

 


MAT-02.MD.08

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Work with time and money.

MAT-02.MD.08 Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

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-02.MD.09

Under Development

MAT-02 Targeted Standards
(MD) Domain: Measurement and Data
Cluster: Represent and interpret data.

MAT-02.MD.09 Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units.

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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