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Hydromania's Measurement Unit
and Washington's Essential Academic Learning Requirements

The following chart travels through the Measurement Unit, tying it to the Washington Essential Academic Learning Requirements 2000 (this will link you to the State of Washington's Education Reform website) that are addressed by that unit. Sometimes only parts of a particular benchmark will be applicable to a Hydromania unit, but we thought it best to cite the entire benchmark for easier reference to these state goals. Please note also that because a lesson can be taught and expanded on at many levels of thoroughness, benchmarks were included assuming the most thorough coverage of the topic. Therefore, each teacher will want to review the listed benchmarks in order to see for her/himself which ones are in agreement with their plans. Hopefully you will find this to be a helpful and timesaving tool as you help students rise to the challenge of meeting these goals.

Curriculum Topic Essential Academic Learning Requirement Subtopic (if applicable)/
Grade 4 and 7 Benchmarks
Topic III:
Measurement 		Mathematics:
The student understands and applies the concepts and procedures of mathematics.
To meet this standard, the student will understand and apply concepts and procedures from number sense.		 Estimation:
  • Grade 4:
    > identify situations involving whole numbers in which estimation is useful.
    > use estimation to predict computation results and to determine the reasonableness of answers, for example, estimating a grocery bill.
  • Grade 7:
    > identify situations involving rational numbers in which estimation is sufficient and computation is not required.
    > use estimation to predict computation results and to determine the reasonableness of answers involving rational numbers, for example, estimating a tip.
Mathematics:
The student understands and applies the concepts and procedures of mathematics.
To meet this standard, the student will understand and apply concepts and procedures from measurement.		 Attributes and dimensions:
  • Grade 4:
    > understand concepts of perimeter, area, and volume.
    > use directly measurable attributes such as length, perimeter, area, volume/capacity, angle, weight/mass, money, and temperature to describe and compare objects.
  • Grade 7:
    > understand the relationship among perimeter, area, and volume.
    > measure objects and events directly or using indirect methods such as finding the area of a rectangle given its length and width.
Approximation and precision:
  • Grade 4:
    > understand that measurement is approximate.
    > estimate to predict and determine when measurements are reasonable, for example, estimating the length of the playground by pacing it off.
  • Grade 7:
    > understand that precision is related to the unit of measurement used and the calibration of the measurement tool.
    > use estimation to obtain reasonable approximations, for example, estimating the length and width of the playground to approximate its area.
Systems and tools:
  • Grade 4:
    > understand the benefits of using standard units of measurement for measuring length, area, and volume.
    > understand appropriate units of measure for time, money, length, area, volume, mass, and temperature.
    > use appropriate tools for measuring time, money, length, area, volume, mass, and temperature.
  • Grade 7:
    > understand the benefits of standard units of measurement for direct and indirect measurement.
    > understand the relationship among units within both the U. S. and metric systems.
    > select and use tools that will provide an appropriate degree of precision, for example, using meters vs. kilometers.
Mathematics:
The student understands and applies the concepts and procedures of mathematics.
To meet this standard, the student will understand and apply concepts and procedures from algebraic sense.		 Relations and representations:
  • Grade 4:
    > recognize, create, and extend patterns of objects and numbers using a variety of materials such as beans, toothpicks, pattern blocks, calculator, cubes, or colored tiles.
  • Grade 7:
    > recognize, create, and extend patterns and sequences.
    > understand and use variables in simple equations, inequalities, and formulas, for example, 3x > 18.
Operations:
  • Grade 4:
    > evaluate simple expressions using blocks, sticks, beans, pictures, etc.
    > solve simple expressions using blocks, sticks, beans, pictures, etc.
  • Grade 7:
    > evaluate simple expressions.
    > set up and solve single-variable equations.
Mathematics:
The student uses mathematics to define and solve problems.
To meet this standard, the student will investigate situations.
  • Grade 4:
    > search for patterns in simple situations.
    > use a variety of strategies and approaches.
    > recognize when an approach is unproductive and try a new approach.
  • Grade 7:
    > search systematically for patterns in simple situations.
    > develop and use a variety of strategies and approaches.
    > recognize the need to modify or abandon an unproductive approach.
Mathematics:
The student uses mathematics to define and solve problems.
To meet this standard, the student will formulate questions and define the problem.
  • Grade 4:
    > identify questions to be answered in familiar situations.
    > define problems in familiar situations.
    > identify the unknowns in familiar situations.
  • Grade 7:
    > identify questions to be answered in new situations.
    > define problems in new situations.
    > identify the unknowns in new situations.
Mathematics:
The student uses mathematics to define and solve problems.
To meet this standard, the student will construct solutions.
  • Grade 4:
    > select and use appropriate mathematical tools.
    > apply appropriate methods, operations, and processes to construct a solution.
  • Grade 7:
    > select and use appropriate mathematical tools.
    > apply appropriate methods, operations, and processes to construct a solution.
Mathematics:
The student uses mathematical reasoning.
To meet this standard, the student will analyze information.
  • Grade 4:
    > interpret and compare information in familiar situations.
    > validate thinking using models, known facts, patterns, and relationships.
  • Grade 7:
    > interpret, compare, and contrast information from a variety of sources.
    > validate thinking and mathematical ideas using models, known facts, patterns, relationships, and counterexamples.
Mathematics:
The student uses mathematical reasoning.
To meet this standard, the student will predict results and make inferences.
  • Grade 4:
    > make conjectures and inferences based on analysis of familiar problem situations.
  • Grade 7:
    > make conjectures and inferences based on analysis of new problem situations.
Mathematics:
The student uses mathematical reasoning.
To meet this standard, the student will draw conclusions and verify results.
  • Grade 4:
    > test conjectures by finding examples to support or contradict them.
    > support arguments and justify results based on own experiences.
    > check for reasonableness of results.
    > reflect on and evaluate procedures and results in familiar situations.
  • Grade 7:
    > test conjectures and inferences and explain why they are true or false.
    > support arguments and justify results using inductive reasoning.
    > check for reasonableness of results.
    > reflect and evaluate on procedures and results in new situations.
Mathematics:
The student communicates knowledge and understanding in both everyday and mathematical language.
To meet this standard, the student will gather information.
  • Grade 4:
    > follow a plan for collecting information.
    > use reading, listening, and observation skills to access and extract mathematical information from a variety of sources, such as pictures, diagrams, physical models, classmates, oral narratives, and symbolic representations.
  • Grade 7:
    > develop a plan for collecting information.
    > use reading, listening, and observation skills to access and extract mathematical information from multiple sources, such as pictures, diagrams, physical models, oral narratives, and symbolic representations.
Mathematics:
The student communicates knowledge and understanding in both everyday and mathematical language.
To meet this standard, the student will organize and interpret information.
  • Grade 4:
    > organize and clarify mathematical information in at least one way- reflecting, verbalizing, discussing, or writing.
  • Grade 7:
    > organize and clarify mathematical information by reflecting, verbalizing, discussing, or writing.
Mathematics:
The student communicates knowledge and understanding in both everyday and mathematical language.
To meet this standard, the student will represent and share information.
  • Grade 4:
    > express ideas using mathematical language and notation such as physical or pictorial models, tables, charts, graphs, or symbols.
    > express mathematical ideas to familiar people using everyday language.
  • Grade 7:
    > clearly and effectively express or present ideas using both everyday and mathematical language such as models, tables, charts, graphs, written reflection, or algebraic notation.
    > express mathematical ideas with clarity using both everyday and mathematical language appropriate to audience.
Mathematics:
The student understands how mathematical ideas connect within mathematics, to other subject areas, and to real-life situations.
To meet this standard, the student will relate concepts and procedures within mathematics.
  • Grade 4:
    > connect conceptual and procedural understandings among familiar mathematical content areas.
    > recognize equivalent mathematical models and representations in familiar situations.
  • Grade 7:
    > connect conceptual and procedural understandings among different mathematical content areas.
    > relate and use different mathematical models and representations for the same situation.
Mathematics:
The student understands how mathematical ideas connect within mathematics, to other subject areas, and to real-life situations.
To meet this standard, the student will relate mathematical concepts and procedures to real-life situations.
  • Grade 4:
    > give examples of how mathematics is used in everyday life.
    > identify how mathematics is used in career settings.
  • Grade 7:
    > recognize the extensive use of mathematics outside the classroom, for example, in banking or sports statistics.
Science:
The student knows and applies the skills and processes of science and technology.
To meet this standard, the student will develop abilities necessary to do scientific inquiry.		 Questioning:
  • Grade 4:
    > ask questions about objects, organisms, and events in the environment.
  • Grade 7:
    > generate questions that can be answered through scientific investigations.
Designing and conducting investigations:
  • Grade 4:
    > plan and conduct simple investigations, using appropriate tools, measures, and safety rules.
  • Grade 7:
    > design, conduct, and evaluate scientific investigations, using appropriate equipment, mathematics, and safety procedures.
Communication:
  • Grade 4:
    > record and report observations, explanations, and conclusions using oral, written, and mathematical expression.
  • Grade 7:
    > communicate scientific procedures, investigations, and explanations orally, in writing, with computer-based technology, and in the language of mathematics.
Science:
The student knows and applies the skills and processes of science and technology.
To meet this standard, the student will know that science and technology are human endeavors, interrelated to each other, to society, and to the workplace.		 Relationship of science and technology:
  • Grade 4:
    > recognize that people have invented tools for everyday life and for scientific investigations.
  • Grade 7:
    > compare and contrast scientific inquiry and technological design in terms of activities, results, and influence on individuals and society; know that science enables technology and vice versa.
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