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 TITLE : Unit 14: Linear Measurement SUGGESTED DURATION : 12 days

#### Unit Overview

Introduction
This unit bundles student expectations that address using non-standard measuring tools laid end-to-end with no gaps or overlaps, describing length to the nearest whole unit, and explaining the relationship between the size of a unit and the number of units needed. According to the Texas Education Agency, mathematical process standards including application, a problem-solving model, tools and techniques, communication, representations, relationships, and justifications should be integrated (when applicable) with content knowledge and skills so that students are prepared to use mathematics in everyday life, society, and the workplace.

Prior to this Unit
In Kindergarten, students identified measurable attributes of objects, including length, capacity, and weight. Students focused on direct comparisons of measureable attributes using descriptive language rather than quantity.

During this Unit
Students explore the continuous nature of linear measure by using concrete, non-standard measuring tools to measure the length of objects. Students determine the length of an object as the number of same-size units of length that, when laid end-to-end with no gaps or overlaps, reach from one end of the object to the other. Students use this illustration of linear measurement to determine the length of objects to the nearest whole unit and describe the length using numbers and unit labels. Students also measure the length of an object using two different units of measure. They begin to recognize the inverse relationship between the size of a unit and the number of units needed as they explain how and why the measurements differed. Repeated practice and opportunities measuring length using non-standard units is a critical foundation for students’ future success with all measurement concepts.

Other considerations: Reference the Mathematics COVID-19 Gap Implementation Tool Grade 1

After this Unit
In Grade 2, students will use concrete objects that represent standard customary and metric units of measure and standard measurement tools (rulers, yardsticks, meter sticks, tape measures) to determine the length of objects. Students will also apply their understanding of length, including estimating lengths, to problem-solving situations, including finding the perimeter of objects.

In Grade 1, using measuring tools laid end-to-end with no gaps or overlaps, describing length to the nearest whole unit, and explaining the relationship between the size of a unit and the number of units needed are included in the Grade 1 Texas Response to Curriculum Focal Points (TxRCFP): Developing the understanding of length. This unit is supporting the development of the Texas College and Career Readiness Standards (TxCCRS): I. Numeric Reasoning B1, C1; II. Algebraic Reasoning D1, D2; V. Statistical Reasoning A1, C2; VII. Problem Solving and Reasoning A1, A2, A3, A4, A5, B1, C1, D1, D2; VIII. Communication and Representation A1, A2, A3, B1, B2, C1, C2, C3; IX. Connections A1, A2, B1, B2, B3.

Research
According to Clements and Sarama (2009), measurement should be taught as more than a simple skill. “In order to interpret children’s understandings, it is important to provide experiences that allow students to connect number to length (e.g., when children count as they measure, focus their conversations on that to what they are counting – not objects or points, but equal-sized units of length. That is, if a child iterates a unit five times, the ‘five’ represents five units of length). As they explore with a variety of different units, such as the edge of a color tile, specifically label the unit ‘lengths unit’ to highlight the attribute being measured” (p. 167).

Clements, D., & Sarama, J. (2009). Learning and teaching early math the learning trajectories approach. New York, NY: Routledge.
Texas Education Agency & Texas Higher Education Coordinating Board. (2009). Texas college and career readiness standards. Retrieved from http://www.thecb.state.tx.us/index.cfm?objectid=E21AB9B0-2633-11E8-BC500050560100A9
Texas Education Agency. (2013). Texas response to curriculum focal points for kindergarten through grade 8 mathematics. Retrieved from https://www.texasgateway.org/resource/txrcfp-texas-response-curriculum-focal-points-k-8-mathematics-revised-2013

 Geometric, spatial, and measurement reasoning are foundational to visualizing, analyzing, and applying relationships within and between scale, shapes, quantities, and spatial relations in everyday life. Why is developing geometric, spatial, and measurement reasoning essential? How does geometric, spatial, and measurement reasoning affect how one sees and works in the world?
Unit Understandings
and Questions
Overarching Concepts
and Unit Concepts
Performance Assessment(s)
• Objects have unique measurable attributes that can be defined and described in order to make sense of their relationship to other objects in the world.
• Why is it important to be able to measure length?
• In what situations might someone need to measure length?
• Attributes of objects can be measured using tools, and their measures can be described using units, in order to quantify a measurable attribute of the object.
• What tools can be used to measure length?
• How are tools used to measure length?
• Why is it important to …
• use the same-sized units to measure length?
• determine the starting and ending points of the length being measured?
• not allow gaps between units when measuring length?
• not allow overlaps of units when measuring length?
• How can composition or decomposition be used to simplify the measurement process?
• How can the length of an object be determined when the end point does not align with the last unit?
• How can a length that is not straight be measured?
• How can the length of an object be described?
• Why can a distance be described differently when the same object is measured using two different units?
• What relationships exist between …
• length and distance?
• length and height?
• length and width?
• Measurement
• Measureable Attributes
• Distance and length
• Measure
• Measurement tools
• Units of measure
• Associated Mathematical Processes
• Application
• Problem Solving Model
• Tools and Techniques
• Communication
• Representations
• Relationships
• Justification
 Assessment information provided within the TEKS Resource System are examples that may, or may not, be used by your child’s teacher. In accordance with section 26.006 (2) of the Texas Education Code, "A parent is entitled to review each test administered to the parent’s child after the test is administered." For more information regarding assessments administered to your child, please visit with your child’s teacher.

#### MISCONCEPTIONS / UNDERDEVELOPED CONCEPTS

Misconceptions:

• Some students may think the longer the unit, the larger the count and vice versa rather than understanding the longer the unit, the fewer units needed and vice versa.
• Some students may think length, height, and distance are different types of measurement rather than realizing all three terms are referring to linear measurement.
• Some students may think they can use different sized concrete units to measure length rather than realizing all units must be of equal size.
• Some students may think they can leave gaps between units or overlap units when measuring with concrete objects rather than recognizing length as a continuous linear measurement.
• Some students may think when measuring the length of an object with one measuring tool and then measuring the same object with a different sized measuring tool, the length of the object itself changes in length rather than realizing that the length of the measuring tools results in different recorded measures but represents the same length.
• Some students may think, when measuring length to the closest whole unit, the last unit is either always counted or never counted rather than recognizing the need to determine if the last unit is greater than or less than one-half.

Underdeveloped Concepts:

• Some students may struggle with the concept of conservation of length, thinking that an object/distance changes based on the orientation or direction of the object (e.g., the height of a student standing up is the same as the height of the same student lying down).

#### Unit Vocabulary

• Length – the measurement attribute that describes a continuous distance from end to end
• Linear measurement – the measurement of length along a continuous line or curve
• Unit of length – the object or unit used to measure length

Related Vocabulary:

 Continuous Distance Efficiency Height Increment Measurement attribute Precision Width
System Resources Other Resources

System Resources may be accessed through Search All Components in the District Resources Tab.

Texas Higher Education Coordinating Board – Texas College and Career Readiness Standards

Texas Education Agency – Texas Response to Curriculum Focal Points for K-8 Mathematics Revised 2013

Texas Education Agency – Mathematics Curriculum

Texas Education Agency – STAAR Mathematics Resources

Texas Education Agency Texas Gateway – Revised Mathematics TEKS: Vertical Alignment Charts

Texas Education Agency Texas Gateway – Mathematics TEKS: Supporting Information

Texas Education Agency Texas Gateway – Interactive Mathematics Glossary

Texas Education Agency Texas Gateway – Resources Aligned to Grade 1 Mathematics TEKS

TAUGHT DIRECTLY TEKS

TEKS intended to be explicitly taught in this unit.

TEKS/SE Legend:

• Knowledge and Skills Statements (TEKS) identified by TEA are in italicized, bolded, black text.
• Student Expectations (TEKS) identified by TEA are in bolded, black text.
• Portions of the Student Expectations (TEKS) that are not included in this unit but are taught in previous or future units are indicated by a strike-through.

Specificity Legend:

• Supporting information / clarifications (specificity) written by TEKS Resource System are in blue text.
• Unit-specific clarifications are in italicized, blue text.
• Information from Texas Education Agency (TEA), Texas College and Career Readiness Standards (TxCCRS), Texas Response to Curriculum Focal Points (TxRCFP) is labeled.
TEKS# SE# TEKS SPECIFICITY
1.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:
1.1A Apply mathematics to problems arising in everyday life, society, and the workplace.

Apply

MATHEMATICS TO PROBLEMS ARISING IN EVERYDAY LIFE, SOCIETY, AND THE WORKPLACE

Including, but not limited to:

• Mathematical problem situations within and between disciplines
• Everyday life
• Society
• Workplace

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• VII.D. Problem Solving and Reasoning – Real-world problem solving
• VII.D.1. Interpret results of the mathematical problem in terms of the original real-world situation.
• IX.A. Connections – Connections among the strands of mathematics
• IX.A.1. Connect and use multiple key concepts of mathematics in situations and problems.
• IX.A.2. Connect mathematics to the study of other disciplines.
• IX.B. Connections – Connections of mathematics to nature, real-world situations, and everyday life
• IX.B.1. Use multiple representations to demonstrate links between mathematical and real-world situations.
• IX.B.2. Understand and use appropriate mathematical models in the natural, physical, and social sciences.
• IX.B.3. Know and understand the use of mathematics in a variety of careers and professions.
1.1B Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

Use

A PROBLEM-SOLVING MODEL THAT INCORPORATES ANALYZING GIVEN INFORMATION, FORMULATING A PLAN OR STRATEGY, DETERMINING A SOLUTION, JUSTIFYING THE SOLUTION, AND EVALUATING THE PROBLEM-SOLVING PROCESS AND THE REASONABLENESS OF THE SOLUTION

Including, but not limited to:

• Problem-solving model
• Analyze given information
• Formulate a plan or strategy
• Determine a solution
• Justify the solution
• Evaluate the problem-solving process and the reasonableness of the solution

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• I.B. Numeric Reasoning – Number sense and number concepts
• I.B.1. Use estimation to check for errors and reasonableness of solutions.
• V.A. Statistical Reasoning – Design a study
• V.A.1. Formulate a statistical question, plan an investigation, and collect data.
• VII.A. Problem Solving and Reasoning – Mathematical problem solving
• VII.A.1. Analyze given information.
• VII.A.2. Formulate a plan or strategy.
• VII.A.3. Determine a solution.
• VII.A.4. Justify the solution.
• VII.A.5. Evaluate the problem-solving process.
• VII.D. Problem Solving and Reasoning – Real-world problem solving
• VII.D.2. Evaluate the problem-solving process.
1.1C Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.

Select

TOOLS, INCLUDING REAL OBJECTS, MANIPULATIVES, PAPER AND PENCIL, AND TECHNOLOGY AS APPROPRIATE, AND TECHNIQUES, INCLUDING MENTAL MATH, ESTIMATION, AND NUMBER SENSE AS APPROPRIATE, TO SOLVE PROBLEMS

Including, but not limited to:

• Appropriate selection of tool(s) and techniques to apply in order to solve problems
• Tools
• Real objects
• Manipulatives
• Paper and pencil
• Technology
• Techniques
• Mental math
• Estimation
• Number sense

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• I.B. Numeric Reasoning – Number sense and number concepts
• I.B.1. Use estimation to check for errors and reasonableness of solutions.
• V.C. Statistical Reasoning – Analyze, interpret, and draw conclusions from data
• V.C.2. Analyze relationships between paired data using spreadsheets, graphing calculators, or statistical software.
1.1D Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

Communicate

MATHEMATICAL IDEAS, REASONING, AND THEIR IMPLICATIONS USING MULTIPLE REPRESENTATIONS, INCLUDING SYMBOLS, DIAGRAMS, GRAPHS, AND LANGUAGE AS APPROPRIATE

Including, but not limited to:

• Mathematical ideas, reasoning, and their implications
• Multiple representations, as appropriate
• Symbols
• Diagrams
• Graphs
• Language

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• II.D. Algebraic Reasoning – Representing relationships
• II.D.1. Interpret multiple representations of equations, inequalities, and relationships.
• II.D.2. Convert among multiple representations of equations, inequalities, and relationships.
• VIII.A. Communication and Representation – Language, terms, and symbols of mathematics
• VIII.A.1. Use mathematical symbols, terminology, and notation to represent given and unknown information in a problem.
• VIII.A.2. Use mathematical language to represent and communicate the mathematical concepts in a problem.
• VIII.A.3. Use mathematical language for reasoning, problem solving, making connections, and generalizing.
• VIII.B. Communication and Representation – Interpretation of mathematical work
• VIII.B.1. Model and interpret mathematical ideas and concepts using multiple representations.
• VIII.B.2. Summarize and interpret mathematical information provided orally, visually, or in written form within the given context.
• VIII.C. Communication and Representation – Presentation and representation of mathematical work
• VIII.C.1. Communicate mathematical ideas, reasoning, and their implications using symbols, diagrams, models, graphs, and words.
• VIII.C.2. Create and use representations to organize, record, and communicate mathematical ideas.
• VIII.C.3. Explain, display, or justify mathematical ideas and arguments using precise mathematical language in written or oral communications.
• IX.B. Connections – Connections of mathematics to nature, real-world situations, and everyday life
• IX.B.1. Use multiple representations to demonstrate links between mathematical and real-world situations.
1.1E Create and use representations to organize, record, and communicate mathematical ideas.

Create, Use

REPRESENTATIONS TO ORGANIZE, RECORD, AND COMMUNICATE MATHEMATICAL IDEAS

Including, but not limited to:

• Representations of mathematical ideas
• Organize
• Record
• Communicate
• Evaluation of the effectiveness of representations to ensure clarity of mathematical ideas being communicated
• Appropriate mathematical vocabulary and phrasing when communicating mathematical ideas

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• VIII.B. Communication and Representation – Interpretation of mathematical work
• VIII.B.1. Model and interpret mathematical ideas and concepts using multiple representations.
• VIII.B.2. Summarize and interpret mathematical information provided orally, visually, or in written form within the given context.
• VIII.C. Communication and Representation – Presentation and representation of mathematical work
• VIII.C.1. Communicate mathematical ideas, reasoning, and their implications using symbols, diagrams, models, graphs, and words.
• VIII.C.2. Create and use representations to organize, record, and communicate mathematical ideas.
1.1F Analyze mathematical relationships to connect and communicate mathematical ideas.

Analyze

MATHEMATICAL RELATIONSHIPS TO CONNECT AND COMMUNICATE MATHEMATICAL IDEAS

Including, but not limited to:

• Mathematical relationships
• Connect and communicate mathematical ideas
• Conjectures and generalizations from sets of examples and non-examples, patterns, etc.
• Current knowledge to new learning

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• VII.A. Problem Solving and Reasoning – Mathematical problem solving
• VII.A.1. Analyze given information.
• VIII.A. Communication and Representation – Language, terms, and symbols of mathematics
• VIII.A.1. Use mathematical symbols, terminology, and notation to represent given and unknown information in a problem.
• VIII.A.2. Use mathematical language to represent and communicate the mathematical concepts in a problem.
• VIII.A.3. Use mathematical language for reasoning, problem solving, making connections, and generalizing.
• VIII.B. Communication and Representation – Interpretation of mathematical work
• VIII.B.1. Model and interpret mathematical ideas and concepts using multiple representations.
• VIII.C. Communication and Representation – Presentation and representation of mathematical work
• VIII.C.1. Communicate mathematical ideas, reasoning, and their implications using symbols, diagrams, models, graphs, and words.
• VIII.C.2. Create and use representations to organize, record, and communicate mathematical ideas.
• VIII.C.3. Explain, display, or justify mathematical ideas and arguments using precise mathematical language in written or oral communications.
• IX.A. Connections – Connections among the strands of mathematics
• IX.A.1. Connect and use multiple key concepts of mathematics in situations and problems.
• IX.A.2. Connect mathematics to the study of other disciplines.
1.1G Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

Display, Explain, Justify

MATHEMATICAL IDEAS AND ARGUMENTS USING PRECISE MATHEMATICAL LANGUAGE IN WRITTEN OR ORAL COMMUNICATION

Including, but not limited to:

• Mathematical ideas and arguments
• Validation of conclusions
• Displays to make work visible to others
• Diagrams, visual aids, written work, etc.
• Explanations and justifications
• Precise mathematical language in written or oral communication

Note(s):

• The mathematical process standards may be applied to all content standards as appropriate.
• TxRCFP:
• Developing an understanding of place value
• Solving problems involving addition and subtraction
• Analyzing attributes of two-dimensional shapes and three-dimensional solids
• Developing the understanding of length
• TxCCRS:
• VII.A. Problem Solving and Reasoning – Mathematical problem solving
• VII.A.4. Justify the solution.
• VII.B. Problem Solving and Reasoning – Proportional reasoning
• VII.B.1. Use proportional reasoning to solve problems that require fractions, ratios, percentages, decimals, and proportions in a variety of contexts using multiple representations.
• VII.C. Problem Solving and Reasoning – Logical reasoning
• VII.C.1. Develop and evaluate convincing arguments.
• VIII.A. Communication and Representation – Language, terms, and symbols of mathematics
• VIII.A.3. Use mathematical language for reasoning, problem solving, making connections, and generalizing.
• VIII.B. Communication and Representation – Interpretation of mathematical work
• VIII.B.1. Model and interpret mathematical ideas and concepts using multiple representations.
• VIII.B.2. Summarize and interpret mathematical information provided orally, visually, or in written form within the given context.
• VIII.C. Communication and Representation – Presentation and representation of mathematical work
• VIII.C.3. Explain, display, or justify mathematical ideas and arguments using precise mathematical language in written or oral communications.
1.7 Geometry and measurement. The student applies mathematical process standards to select and use units to describe length and time. The student is expected to:
1.7A Use measuring tools to measure the length of objects to reinforce the continuous nature of linear measurement.

Use

MEASURING TOOLS TO MEASURE THE LENGTH OF OBJECTS TO REINFORCE THE CONTINUOUS NATURE OF LINEAR MEASUREMENT

Including, but not limited to:

• Length – the measurement attribute that describes a continuous distance from end to end
• Linear measurement – the measurement of length along a continuous line or curve
• Starting point and ending point defined
• Continuous line may bend or curve, but not break
• Non-standard measuring tools to reinforce the continuous nature of linear measurement
• Ribbon, yarn, string, adding machine tape, etc.

Note(s):

• Kindergarten gave an example of a measurable attribute of a given object, including length, capacity, and weight.
• Grade 2 will determine the length of an object to the nearest marked unit using rulers, yardsticks, meter sticks, or measuring tapes.
• Various mathematical process standards will be applied to this student expectation as appropriate.
• TxRCFP:
• Developing the understanding of length
• TxCCRS:
• I.C. Numeric Reasoning – Systems of measurement
• I.C.1. Select or use the appropriate type of method, unit, and tool for the attribute being measured.
1.7B Illustrate that the length of an object is the number of same-size units of length that, when laid end-to-end with no gaps or overlaps, reach from one end of the object to the other.

Illustrate

THAT THE LENGTH OF AN OBJECT IS THE NUMBER OF SAME-SIZE UNITS OF LENGTH THAT, WHEN LAID END-TO-END WITH NO GAPS OR OVERLAPS, REACH FROM ONE END OF THE OBJECT TO THE OTHER

Including, but not limited to:

• Length – the measurement attribute that describes a continuous distance from end to end
• Unit of length – the object or unit used to measure length
• Non-standard units of length
• Color tiles, linking cubes, paper clips, measuring rods, toothpicks, craft sticks, etc.
• Linear measurement – the measurement of length along a continuous line or curve
• Starting point and ending point defined
• Equal sized units of length placed end to end along the distance being measured
• Equal sized units of length iterated (repeated) with no gaps or overlaps
• Length measured using one-dimensional units of length (e.g., if measuring with a color tile, measure with the edge, not the area of the color tile; if measuring with a paper clip, measure with either the length or width of the paper clip, not a combination of lengths and widths; etc.)
• Equal sized units of length counted to the nearest whole unit
• Last unit is not counted if the end point falls less than half-way along the unit.
• Last unit is counted if the end point falls half-way, or more than half-way, along the unit.
• Unit of length selected for efficiency
• Smaller unit of length to measure shorter objects or distances
• Larger unit of length to measure longer objects or distances
• Unit of length selected for precision
• Smaller unit of length results in a more precise measurement when measuring to the whole unit.
• Larger unit of length results in a less precise measurement when measuring to the whole unit.

Note(s):

• Grade 1 introduces illustrating that the length of an object is the number of same-size units of length that, when laid end-to-end with no gaps or overlaps, reach from one end of the object to the other.
• Grade 2 will find the length of objects using concrete models for standard units of length.
• Various mathematical process standards will be applied to this student expectation as appropriate.
• TxRCFP:
• Developing the understanding of length
• TxCCRS:
• I.C. Numeric Reasoning – Systems of measurement
• I.C.1. Select or use the appropriate type of method, unit, and tool for the attribute being measured.
1.7C Measure the same object/distance with units of two different lengths and describe how and why the measurements differ.

Measure

THE SAME OBJECT/DISTANCE WITH UNITS OF TWO DIFFERENT LENGTHS

Including, but not limited to:

• Length – the measurement attribute that describes a continuous distance from end to end
• Unit of length – the object or unit used to measure length
• Non-standard units of length
• Color tiles, linking cubes, paper clips, measuring rods, toothpicks, craft sticks, etc.
• Equal sized units of length counted to the nearest whole unit
• Last unit is not counted if the end point falls less than half-way along the unit.
• Last unit is counted if the end point falls half-way, or more than half-way, along the unit.
• Linear measurement – the measurement of length along a continuous line or curve
• Starting point and ending point defined
• Equal sized units of length placed end to end along the distance being measured
• Equal sized units of length iterated (repeated) with no gaps or overlaps
• Length measured using one-dimensional units of length (e.g., if measuring with a color tile, measure with the edge, not the area of the color tile; if measuring with a paper clip, measure with either the length or width of the paper clip, not a combination of lengths and widths; etc.)
• Equal sized units of length counted to the nearest whole unit
• Last unit is not counted if the end point falls less than half-way along the unit.
• Last unit is counted if the end point falls half-way, or more than half-way, along the unit.
• Measure the same object with different sized units of length.

Describe

HOW AND WHY THE MEASUREMENTS OF THE SAME OBJECT/DISTANCE MEASURED WITH UNITS OF TWO DIFFERENT LENGTHS DIFFER

Including, but not limited to:

• Length – the measurement attribute that describes a continuous distance from end to end
• Unit of length – the object or unit used to measure length
• Non-standard units of length
• Color tiles, linking cubes, paper clips, measuring rods, toothpicks, craft sticks, etc.
• Compare the measurements of the same object with different sized units of length.
• Description of how the measurements differ
• Measurements described using a number and unit label
• Description of why the measurements differ
• The shorter the unit of length, the more units counted
• The longer the unit of length, the fewer units counted

Note(s):

• Grade 1 introduces measuring the same object/distance with units of two different lengths and describing how and why the measurements differ.
• Grade 2 will describe the inverse relationship between the size of the unit and the number of units needed to equal the length of an object.
• Various mathematical process standards will be applied to this student expectation as appropriate.
• TxRCFP:
• Developing the understanding of length
• TxCCRS:
• I.C. Numeric Reasoning – Systems of measurement
• I.C.1. Select or use the appropriate type of method, unit, and tool for the attribute being measured.
1.7D Describe a length to the nearest whole unit using a number and a unit.

Describe

A LENGTH TO THE NEAREST WHOLE UNIT USING A NUMBER AND A UNIT

Including, but not limited to:

• Length – the measurement attribute that describes a continuous distance from end to end
• Unit of length – the object or unit used to measure length
• Non-standard units of length
• Color tiles, linking cubes, paper clips, measuring rods, toothpicks, craft sticks, etc.
• Measurement named using a number and a unit
• Equal sized units of length counted to the nearest whole unit
• Last unit is not counted if the end point falls less than half-way along the unit.
• Last unit is counted if the end point falls half-way, or more than half-way, along the unit.

Note(s): 