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Mathematics Warm-Up: Enhancing Graph Knowledge

Practice translations, vectors, and transformations with exercises on graphs. Learn how to find values and write rules for translations in mathematics.

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Mathematics Warm-Up: Enhancing Graph Knowledge

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  1. Warm Up Maintaining Mathematical Proficiency:  Find the value of ¡. Hint: Auxilary Line 4.1 Translations

  2. Rigid Motions aka Transformations – A translation, reflection, rotation, dilation, or any combination of these that changes the position or size of a figure.  Translation -  Moves every point of a figure the same distance in the same direction. 1) Complete the warmup exercises on graph number 1. 4.1 Translations

  3. 4.1 Translations Preimage A – The figure before the transformation.  Image A' - The figure after the transformation. 2) A) B)

  4. 4.1 TranslationsLearning Check Preimage A – The figure before the transformation.  Image A' - The figure after the transformation. 3) A) B) B'(-9, 9) D(12, -7)

  5. Vector – a quantity that has both a magnitude and a direction.  On the Cartestian Plane it is represented by an arrow drawn from one point to another. 4) Name the vector and write its component form.  4.1 Translations

  6. Vector – a quantity that has both a magnitude and a direction.  On the Cartestian Plane it is represented by an arrow drawn from one point to another. • 5) In the diagram name the vector and write its component form.  4.1 Translations

  7. 6) Learning Check: In the diagram name the vector and write its component form. 4.1 Translations

  8. 7) Translations Using a Vector:  4.1 Translations

  9. 8) Learning Check:  4.1 Translations

  10. 9) Writing Rules for Translations:  4.1 Translations

  11. 10) Learning Check:  4.1 Translations

  12. 11) Composition of Transformations - The combination of 2 or more transformations. Describe the composition of transformations. 4.1 Translations

  13. 12) Mathematical Connections: A translation maps the blue figure to the red figure.  Find the Value of each variable. 4.1 Translations

  14. Learning Check: A translation maps the blue figure to the red figure.  Find the Value of each variable. 4.1 Translations

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