Geometry and Spatial Reasoning

Size: px

Start display at page:

Download "Geometry and Spatial Reasoning"

Meghan Webster
6 years ago
Views:

1 Geometry and Spatial Reasoning Activity: TEKS: Overview: Materials: Exploring Reflections (7.7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. The student is expected to: (A) locate and name points on a coordinate plane using ordered pairs of integers; and (B) graph reflections across the horizontal and vertical axis and graph translations on a coordinate plane. This activity allows students to explore transformations using graphs and to discover the algebraic rules to do transformations using a TI graphing calculator. Exploring Reflections handout Coordinate grid paper X-list/Y-list tables Straight edges Map (color) pencils Grouping: Pairs or groups of 4 Time: 45 minute class Lesson: Procedures 1. Give students the following scenario: Crystal and Tania are planning to use a flag theme on posters for a school dance. They want to use the reflections they learned in geometry to arrange the flags in different patterns. The flag will have vertices at the following points: A(0,9) B(-5,9) C(-5, 7) D(-1,5) E(-1,1) F(0,1) G(0,9) Notes Provide students with coordinate grid paper and X-list/Y-list tables. Use a transparency to describe the scenario and plot the points on a transparency with the students. Each reflection will be plotted on a coordinate grid. The coordinates will be recorded in the lists. Exploring Reflections Page 1

2 Procedures 2. Distribute Exploring Reflections handout and the map colors. Direct students to complete the activity by creating the tables and graphs and answering the questions. Notes Allow about 10 to 15 minutes for completion of this first part. Suggest that students use the different color map pencils to distinguish between the different transformations. Circulate among students to answer questions and ensure that students are completing the work properly. 3. Discuss the results as a class and identify some procedures to create reflections; have students write these procedures in their own words. It is important for the students to put the procedures in their own words to ensure that they truly understand how to form each of these transformations. Students need opportunities to communicate both verbally and in written form. Homework: Have students create a design on graph paper and then reflect that design across the x-axis and the y-axis. Exploring Reflections Page 2

3 Exploring Reflections Coordinates for vertices of the flag: A(0,9), B(-5,9), C(-5, 7), D(-1,5), E(-1,1), F(0,1), G(0,9) 1. Use the 1st grid on the attached grid sheet to plot and label the given points. Connect the points to create the original flag. 2. Fill in the x and y lists with the given coordinates. 3. Graph the reflection of the original flag across the y-axis. Label the points. 4. Fill in the x and y lists with the coordinates of the reflection. a. Which values changed? b. How did they change? 5. Before graphing the reflection of the original flag across the x-axis, predict how the coordinates will change. Fill in the x and y lists with the coordinates you predicted. 6. Now graph the reflection of the original flag across the x-axis. Label the points. a. Which values changed? b. How did they change? c. Did this change match your prediction? Exploring Reflections Page 3

4 Exploring Reflections Page 4

5 Exploring Reflections Page 5

Algebra 2 Honors Lesson 10 Translating Functions

Algebra 2 Honors Lesson 10 Translating Functions Objectives: The students will be able to translate a base function horizontally and vertically. Students will be able to describe the translation of f(x)