3. Scantron Reflection On the whiteboard: share your thoughts about taking the Scantron Performance Series Math assessment
4. Personal Needs Reflection Did you come to any conclusion about your own personal development needs in Mathematics? List your thoughts in the chat window.
15. Lesson Objective Solve and Graph single variable equations and inequalities Toolbox Vocabulary: Toolbox Rules: Equation/Inequality Addition Property of Equality Equivalent Equations Multiplication Property of Equality Transformations Reciprocal Simplify Product Rules Replacement Set Reverse or ‘flip’ inequality signs Open Dot or Closed Dot
36. No Really! Inequalities - the same but different From this: What is the same? What is different? How will the solution change? What might trip us up? To this:
44. Solving Inequalities – Mel’s Route Graphed Is the inequality true when x < –14? Are their one, none or many solutions? Is –14 included in the solution?
45. Solving Inequalities – Checking Mel’s Route We already know –14 is not included, so now choose an easy number left of –14 and substitute (replace) and solve. By selecting –20 and solving, we learn numbers left or smaller than –14 are true solutions of this inequality. Many solutions satisfy this inequality. Values less than but NOT including -14 are all solutions.
46. Why Flip the Sign? This example requires Transformation of Multiplication and Division. When working with inequalities, and using this transformation we’re instructed to ‘Flip the Sign’. Here’s the math behind the request: This shows when an inequality is multiplied by –1, the inequality is reversed. Therefore: is the same as:
48. Now What’s Wrong? Look at the problems below. Indicate if the problem is algebraically correct, explain your answer. Look at the problems below. Select points on number line to check the solution and accuracy of the graph. Explain your findings.
Speed Math inequalities: http://education.jlab.org/sminequality/index.html Inequality Game: http://www.math-play.com/Inequality-Game.html
Refer to File Transfer for Scantron Score information
http://www.newton.dep.anl.gov/askasci/math99/math99228.htmX or the ‘unknown’ was originally referred to as ‘thing’ or ‘object’ of couple of derivatives of translation you end with a shortened version ‘x’. Also noted that the Greek word ‘xenos’ is the word for unknown or stranger also shortened to x.
Checkor X if you would like me to work through or skip the next three slides. You can use these slides as a starting point for your direct instruction and family support.
One variable (kind) = one dimension
Open or ClosedLeft or Right
Point out inequalities have more than one solution Call out open dot on graph
You can review this slide on your own time, however it explains the math behind ‘Flipping the Sign’
