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K–12 teaching and learning · from the UNC School of Education

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Learning outcomes

Students will generate a one- or two-step real life stiuation story problem using math procedures appropriate for their level.

Teacher planning

Time required for lesson

3 hours

Materials/resources

  • Paper
  • Pencil and/or computer
  • Story problem examples showing key words which clue students as to which math operation is appropriate.

Technology resources

Problems can be composed, edited, and even illustrated on a computer. Saving and compiling a list of problems would be much easier this way.

Pre-activities

Discuss story problems with students. Outline a plan for analyzing new story problems. One good example is the Problem Solving Plan given in the Scott-Foresman/Addison Wesley third grade math text (pages 18-19).

PROBLEM SOLVING PLAN

I. UNDERSTAND THE PROBLEM
- WHAT INFORMATION DOES THE PROBLEM GIVE YOU?
- WHAT DO YOU NEED TO FIND OUT?
II. PLAN THE OPERATION
- WHAT KEY WORD(S) TELL YOU WHICH OPERATION(S) TO USE?
III. SOLVE THE PROBLEM
- WRITE A NUMBER SENTENCE AND SOLVE IT.
IV. LOOK BACK
- LOOK AT YOUR ANSWER. DOES IT MAKE SENSE WITH THE PROBLEM?

Work through several problems with the class using guided practice. Stress the problem solving strategies! Insist that students analyze each problem carefully (steps I & II) before jumping right into the operation (step III).

Other problem solving strategies should be introduced and discussed with the students. These may include the following:
1. Draw a picture
2. Look for a pattern
3. Guess and check
4. Use logical reasoning
5. Make a list
6. Make a table
7. Work backwards

Activities

  1. After the students are thoroughly familiar with a problem solving plan and various problem solving strategies, and after they have had ample guided practice using the plan, then the students are ready to generate their own story problems.
  2. Word problems can be written and edited on paper or a computer. If a computer lab or a computer center in your classroom is available, I would encourage composing the problems on a computer. Perhaps in some situations it would be best to compose and edit with paper and pencil. Then the students could transfer their problems onto a disk using a familiar word processing program. Encourage students to keep their problems simple, based on whatever level of difficulty is appropriate for your group. Remember, the students must be able to solve their own problems.

    Having the students put their own problems on the computer is not only good key-boarding and word processing practice for them, but it will also save you, the teacher, time later when compiling problems for the students to solve.

  3. After problems have been written, edited, and put on the computer, then the teacher can pull together as many as is appropriate for students to solve independently. Be sure to have the student authors put their name with their problem. Distribute the problems to students. While students are working on the problems, I allow them to only seek help from the author of that particular problem (if they need help).

Assessment

Assessing problem solving skills can take place immediately after these activities…for example, the following day. However, problem solving is an on-going skill, and the assessment should be as well. As students hone their first-learned strategies and continually add new ones to their repertoire, assessment will need to move parallel with this process.

Supplemental information

None

Related websites

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Comments

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North Carolina curriculum alignment

Mathematics (2004)

Grade 3

  • Goal 1: Number and Operations - The learner will model, identify, and compute with whole numbers through 9,999.
    • Objective 1.02: Develop fluency with multi-digit addition and subtraction through 9,999 using:
      • Strategies for adding and subtracting numbers.
      • Estimation of sums and differences in appropriate situations.
      • Relationships between operations.
    • Objective 1.04: Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division.
    • Objective 1.06: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
  • Goal 5: Algebra - The learner will recognize, determine, and represent patterns and simple mathematical relationships.

  • Common Core State Standards
    • Mathematics (2010)
      • Grade 3

        • Number & Operations in Base Ten
          • 3.NO.2Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
        • Operations & Algebraic Thinking
          • 3.OAT.3Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
          • 3.OAT.8Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.3