Shapes & Transformations and Angles & Measurements Spatial Visualization and Reflections a.) b.) c.) d.) a.) b.) c.)

Transcription

1 Chapters 1 & 2 Team Number Name Shapes & Transformations and Angles & Measurements Spatial Visualization and Reflections d.)

2 1-51. d.) On the axes at right, graph the equations y = x and y = x. Then follow the directions provided in the student text Learning Log. Reflections

3 1.2.2 Right Transformations: Rotations and Translations c/d.) Translation: Transformation: Reflect or Rotate? Describe: a) b)

4 1.2.3 Slopes of Parallel and Perpendicular Lines b./ New Equation: New Equation: Slope Comparison: Slope Comparison: Slope 1 Slope 1/3 Slope -3/4 New slope = New slope = New slope = b./

5 Learning Log Parallel Lines: Perpendicular Lines:

6 1.2.4 Defining Transformations ROTATIONS ON A GRID d.)

7 y x 2 3 c./d.) LEARNING LOG Isosceles:

8 1.2.5 Using Transformations to Create Shape Shapes created by reflection: Shapes created by rotation:

9 1.2.6 Symmetry Reflection Symmetry Triangles: Quadrilaterals: d.)

10 Rotational Symmetry d.) Translation Symmetry (Teacher Led) Learning Log What is symmetry? How can I determine whether or not a polygon has symmetry? What types of symmetry can a shape have?

11 1.3.1 Attributes and Characteristics of Shapes INTRODUCTION TO THE SHAPE BUCKET Use Resource Pages

12 1.3.2 More Characteristics of Shapes DESCRIBING A SHAPE Your Team s Shapes What do you notice about your shape? What makes it different from other shapes? If you wanted to describe your shape, what would you need to include in the description? Create your Shapes Toolkit from Resource Page

13 2.1.1 Complementary, Supplementary, and Vertical Angles 2-1. SOMEBODY S WATCHING ME ANGLE RELATIONSHIP a. ) Complementary Angles (COMP): b. ) Supplementary Angles (SUPP): c. ) Vertical Angles (VERT): d. e.) 2-4. Vertical angles 2-5.

14 2-6.

15 2.1.2 Angles Formed by Transversals d.) b./ Transversal: Corresponding Angles (CORR): CORRESPONDING ANGLES

16 2-17. d.) e.) f.) If-Then Statement: g.) 2-18.

17 2.1.3 More Angles Formed by Transversals ALTERNATE INTERIOR ANGLES Alternate Interior Angles (AIA): d.)

18 2-27. SAME-SIDE INTERIOR ANGLES Same-Side Interior Angles (SSI): d.) d.)

19 2.1.4 Angles in a Triangle a. and d.) TEAM CHALLENGE

20 2.1.5 Applying Angle Relationships If CORR angles are congruent, then... If the measures of AIA are congruent, then...

21 2.2.2 Areas of Triangles and Composite Shapes d.) e.) f.) done on computer by teacher

22 2.2.3 Areas of Parallelograms and Trapezoids FINDING THE AREA OF A PARALLELOGRAM b1.) b2.) b3.) b4.) d.) Formula for parallelogram: FINDING THE AREA OF A TRAPEZOID d.) d.) Formula for trapezoid:

23 2.2.4 Heights and Areas HEIGHT LAB Height inside Height is the side Height is outside For figures (1) through (4), draw a height to the side labeled base. b. and A 1 = A 2 = A 3 =

24 2.3.1 Triangle Inequality d.) d.) Learning Log Triangle Inequality:

25 2.3.2 The Pythagorean Theorem d.) Pythagorean Theorem: y

26 Date Learning Objective Section Can I do this? 1.1 Represent transformations in the plane & describe transformations as functions Define of rotations, reflections, and translations Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure 1.4 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure Identify the shapes of two dimensional cross sections of three dimensional objects Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems 1.7 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself 1.8 Prove theorems about triangles including measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; 2.1 Prove theorems about lines and angles including vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; 2.2 Use the Pythagorean Theorem to solve right triangles in applied problems Achievement Rating 4 Advanced 3 Accelerated Achievement Levels I can demonstrate the advanced use of the new material. I can teach others the material. I can demonstrate the accelerated use of new material. I need a small amount of direction, but I can also assist other students. 2 Proficient I can demonstrate the proficient use of new material, but I cannot help others. 1 Basic I can demonstrate the basic use of new material, but I need help me in order to move on. 0 Limited I do not understand the content at all. I need to be re-taught before I can move forward.