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Prerequisite – P.2 and P.3

Prerequisite – P.2 and P.3. Objective. SWBAT graph points, find distances and midpoint on a number line and in a coordinate plane, and write standard-form equations of circles. SWBAT solve linear equations and inequalities in one variable. Absolute Value.

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Prerequisite – P.2 and P.3

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  1. Prerequisite – P.2 and P.3

  2. Objective • SWBAT graph points, find distances and midpoint on a number line and in a coordinate plane, and write standard-form equations of circles. • SWBAT solve linear equations and inequalities in one variable.

  3. Absolute Value • Absolute Value: the distance between two values on a number line • example: • example: • example: • The distance between x and 12 is less than 15 can be written as

  4. Quadrant names

  5. Midpoint • Midpoint: given two points (( the midpoint formula is • Example: (-3,4) (1,0)

  6. Distance • Distance: given two points (( the distance formula is • Example: (-3,4) (1,0)

  7. Equation of a Circle • Equation of a Circle: a circle is a set of points a fixed distance (radius) from a fixed point (center). • Standard form Equation of a Circle where r is the radius and (h,k) is the center: • Example: Center (-4, 1) radius 8 • Equation:

  8. Converse of the Pythagorean Theorem • Used to verify right triangles • You plug in the three side lengths into the Pythagorean Theorem (and show that is results in a true statement. If the result is not a true statement then the three side lengths do not create a right triangle. • Example: given the side lengths

  9. P.2 HW #1-27 odd, 37, 41-53 odd

  10. Confirming a solution • What does it mean for a number to be a solution to an equation/inequality? • Prove that is a solution of the equation .

  11. Solving Linear Equations

  12. Solving Linear Inequalities

  13. Solving Linear Inequalities with Fractions

  14. Solving Double Inequalities

  15. P.3 HW: #1-53 odd

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