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Examples: 2 + 3 2 x 5. Teaching Concept #1. Understanding Expressions. An expression contains numbers and operations. Examples: 2 + 3 = 5 2 + 3 = 1 + 4 2 x 3 = 6. An equation has an equal sign to show that one expression is equal to another expression. Teaching Concept #2.

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Understanding Expressions


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    1. Examples: 2 + 3 2 x 5 Teaching Concept #1 Understanding Expressions An expression contains numbers and operations.

    2. Examples: 2 + 3 = 5 2 + 3 = 1 + 4 2 x 3 = 6 An equation has an equal sign to show that one expression is equal to another expression. Teaching Concept #2 Understanding Equations

    3. Examples: A drawing has pictures or symbols to match the numerals in the equation. Teaching Concept #3 Drawing Pictures

    4. Steve had six pieces of gum and then he bought two more. How many pieces of gum does he have now? Application #1 Example

    5. Alice is arranging chairs in the gym. She set up the chairs in three rows of three chairs. How many chairs does she need? Application #2 Example

    6. Concrete Example #1 Example The commutative property of addition and multiplication means that the numerals in the expression can be in either order and will be equal.

    7. Concrete Example #2 Example The zero property for addition means that zero added to any number will equal that number. The property of one for multiplication means that one times any number will equal that number.

    8. Step-by-Step #1 Demonstration 2 + 4 = 4 + 2 XXOOOO = OOOOXX 3 + 1 = 1 + 3 XXXO = OXXX

    9. Step-by-Step #2 Demonstration 2 x 4 = 4 x 2 3 x 2 = 2 x 3

    10. Step-by-Step #3 Demonstration 6 + 0 = XXXXXX 4 + 0 = XXXX

    11. Step-by-Step #4 Demonstration 4 x 1 = OOOO 3 x 1 = OOO

    12. Concrete Example Examples = 3 + 4 4 + 3 XXXOOOO OOOOXXX 2 x 3 3 x 2 = 4 + 0 4 XXXX XXXX = 2 x 1 2 =