8th- Fourth 9 weeks 

This 9 weeks the students will learn about transformational geometry. During this unit, they will discuss 4 different types of transformations and what effects they have on the shapes. This unit also included a very quick crash course in basic probability. This will lead to quick discussions of compound events (two or more events happening), dependent vs. independent events (does the number of outcomes change), and the fundamental counting principle.  

8.GM.3

• I can verify the properties of rotated, reflected or translated geometric figures by measuring and comparing lengths of segments and measures of angles.

• I can prove that lines and line segments remain the same length following a rotation, reflection, or translation.

• I can confirm that angles have the same measure following a rotation, reflection, or translation.

• I can verify that parallel lines remain parallel following a rotation, reflection, or translation.

8.GM.4

• I can explain that a two-dimensional figure is congruent to another after performing a series of rotations, reflections and translations.

• I can describe a sequence of transformations that shows the congruence between two figures.

8.GM.5

• I can explain how transformations can be used to prove that two figures are similar.

• I can describe a sequence of transformations that either prove or disprove that two figures are similar.

• I can describe attributes of similar figures.

8.GM.6

• I can describe the changes to the size and shape of a figure after a dilation in the coordinate plane.

• I can describe the effect of translations on coordinates.

• I can use coordinate notation to describe a translation.

• I can use vector notation to describe a translation.

• I can describe the effect of a reflection across the x-axis, y-axis or the lines y = x or y = -x on coordinates.

• I can describe the effect of a rotation about the origin on coordinates.

8.DSP.4

• *I can find the sample space for a compound event.

• *I can find the probability of a compound event.

• *I can describe events as independent or dependent.

• *I can identify events as mutually exclusive.

• *I can identify the complement of an event.

8.DSP.5

• *I can represent the sample space of independent and dependent events.

• *I can create a tree diagram to show the sample space of a compound event.

• *I can find the probability of a compound event using an organized list.

• *I can find the probability of a compound event using a table.

• *I can find the probability of a compound event using a tree diagram.

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8.DSP.6

• *I can apply the multiplication counting principle to situations with a large number of outcomes.

• *I can develop the multiplication counting principle through exploration.

 MA.8.GM.3

Verify experimentally the properties of rotations, reflections, and translations, including

MA.8.GM.4

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations. Describe a sequence that exhibits the congruence between two given congruent figures.

MA.8.GM.5

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations. Describe a sequence that exhibits the similarity between two given similar figures.

MA.8.GM.6

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

MA.8.DSP.4

Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. Understand and use appropriate terminology to describe independent, dependent, complementary, and mutually exclusive events.

MA.8.DSP.5

Represent sample spaces and find probabilities of compound events (independent and dependent) using methods, such as organized lists, tables, and tree diagrams.

MA.8.DSP.6

For events with a large number of outcomes, understand the use of the multiplication counting principle. Develop the multiplication counting principle and apply it to situations with a large number of outcomes.

IXL Lessons: 

Translations: Q.1, Q.2, Q.3

Reflections: Q.4, Q.5

Rotations: Q.6, Q.7

Dilations: Q.8, Q.9, Q.10

Probability: CC.1, CC.2, CC.3, CC.6, CC.7, CC.10

Unit 10 (Transformation) Materials

Unit 11 (Probability) Materials

See Canvas for all guided notes and resources.