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Using Number Sense to Solve One-Step Equations

Using Number Sense to Solve One-Step Equations. Lesson 2-5. Vocabulary. An equation is a mathematical sentence that has an equal sign. An open sentence is an equation with one or more variables in it.

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Using Number Sense to Solve One-Step Equations

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  1. Using Number Sense to Solve One-Step Equations Lesson 2-5

  2. Vocabulary An equation is a mathematical sentence that has an equal sign. An open sentence is an equation with one or more variables in it. A solution is a value that can be substituted for a variable to make the equation true. Example: In the equation y + 3 = 8, the solution is 5.

  3. Using Estimation • Use mental math or estimating to determine the solutions to the equations. • The same number properties apply to algebraic equations.

  4. Properties Identity Properties: a + 0 = a1a = a Commutative Properties: a + b = b + aab = ba Associative Properties: a + (b + c) = (a + b) + ca(bc) = (ab)c

  5. Example: 4x=32 Think: What times 4 equals 32? Solution: x = 8 Check the original equation: 4x=32 4(8)=32 32=32

  6. Example: Estimatep ÷ 4 = 7.97 7.97 is close to 8. So think: What divided by 4 equals 8? If we work backwards, we know that 8 x 4 = 32. Therefore, p is about equal to 32.

  7. Is the given number a solution to the equation? 6n = 17; 3 Try the value out and see if it works. 6n = 17 6(3) = 17 18 = 17 This is not true, so 3 is not a solution.

  8. ClassworkYou can use an equation - a statement that two different expressions are equal to each other - to find unknown values that make the equation true. This game introduces the concept of variables-- that something can be a 'container' for a number. You can learn more about equations by playing The Poodle Game. The poodles have lost the numbers that usually show up on their shirts. By placing each poodle on a scale and adding weights, the player can determine what number the poodle is. Homework p. 86, 1-53 ODD

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