Grade 3 Mathematics Continuum

EALR #1: The student understands and applies the concepts and procedures of mathematics.
1.1 Number Sense
  • Counts and recognizes numbers to 100,000.
  • Completes patterns of missing cells on a number grid.
  • Uses physical models, pictures and symbols to represent place value to 100’s.
  • Identifies, writes, compares and orders numbers to thousands.
  • Identifies and compares decimals to tenth.
  • Uses physical models, pictures and symbols to order simple fractions.
  • Uses objects to show understanding of +, - of whole numbers to hundreds.
  • Uses objects to show understanding of x, ¸ of whole numbers through 9 x 9.
  • Adds and subtracts multi-digit whole numbers using an appropriate strategy (mental, paper/pencil, calculator).
  • Recalls x, ¸ facts through 5 x 9.
  • Identifies situations involving whole numbers where estimation is useful.
  • Uses estimation to predict computation results and to determine the reasonableness of an answer.
1.2 Measurement
  • Measures to the nearest whole and common fraction of unit (½, ¼ inch and cm).
  • Uses appropriate tools and units of measurement for measuring time, money, length, volume, mass, area, and temperature.
  • Counts sets of coins and calculates change.
  • Uses perimeter and area to compare objects.
  • Finds perimeter of polygons.
  • Finds area of rectangles.
  • Tells time to nearest minute.
  • Reads Fahrenheit and Celsius temperatures on a thermometer.
  • Recognizes units of capacity (cup, pint, quart, gallon, liter).
1.3 Geometric Sense
  • Identifies both two and three dimensional geometric shapes.
  • Constructs models of three dimensional shapes.
  • Describes the location of figures on a coordinate plane using ordered pairs..
  • constructs transformations (slides, flips, turns).
  • Constructs simple shape using appropriate tools.
  • Identifies and constructs line segments and rays.
1.4 Probability and Statistics
  • Gives examples of certain and uncertain events.
  • Uses measures of central tendency (maximum, minimum, median).
  • Displays data in a tally, chart or bar graph.
1.5 Algebraic Sense
  • Finds a rule to describe patterns.
  • writes a number model using an unknown (i.e.; 5 + ¨ = 15).
  • Recognizes patterns in computation.
EALR #2: The student uses mathematics to define and solve problems.
2.1 Investigate Situations
  • Searches for patterns.
  • Uses the following problem-solving strategies appropriately:
    • guess and check*
    • draw a picture
    • make a chart or table
    • use objects
    • make an organized list
    • use logical reasoning
  • Recognizes when information is missing or extraneous.
  • Recognizes when an approach is unproductive and tries a new approach.
2.2 Formulate Questions
  • Identifies questions to be answered in familiar situations.
2.3 Construct Solutions
  • Organizes relevant information to solve a problem.
  • Finds solutions to simple problems.
EALR #3: The student uses mathematical reasoning.
3.1 Analyze Information
  • Interprets, compares and contrasts information.
  • Uses models, patterns and known facts to validate thinking.
3.2 Predict and Infer
  • Predicts solutions.
3.3 Draw Conclusions and Verify
  • Uses estimation to check for reasonableness of answers.
  • Reflects on and evaluates procedures.
EALR #4: The student communicates knowledge and understanding in both everyday and mathematical language.
4.1 Gather Information
  • Creates a plan for collecting information.
  • Accesses mathematical information from pictures, diagrams and models.
4.2 Organize and Interpret
  • Organizes and clarifies mathematical information (ex. in a math journal).
4.3 Represent and Share
  • Expresses ideas by using pictures, tables, charts, graphs or number sentences.
  • Explains solution and thought processes orally and in writing.
EALR #5: The student understands how mathematical ideas connect to other subject areas and real-life situations.
5.1 Relate Concepts and Procedures Within Mathematics
  • Recognizes relationships between different mathematical content areas (ex. multiplication and division).
5.2 Relate concepts and Procedures to Other Disciplines
  • Recognizes mathematical ideas and patterns in other disciplines.
5.3 Relate Concepts and Procedures to Real-Life
  • Gives examples of how math is used in everyday life.
  • Uses a calculator appropriately and accurately.

 

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