Geometry Goal 2 – To Learn the Basic Elements of Geometry Learning Outcomes 1.1 Sequences – Learn how to recognize patterns and predict the next terms in both picture and number sequences. Chapter Reference 1.1 1.2 Algebra Review I – Evaluate Expressions. Plot Points on the Coordinate Plane Text Book Reference pg. 670, 674 1.3 Lines and Planes – Identify, draw and label points, lines, rays and planes Chapter Reference 1.3 1.4 Algebra Review II – Solve one-step equations Text Book Reference pg. 672 Differentiated Instructional Activities Text Book References* Chapter Resource Book References Assessments# Use manipulatives to make and extend basic patterns. Note patterns in room, in clothes, outside etc. Work in pairs to develop patterns. One student explains other student’s pattern. Pg. 5 ex: 1 – 22 Ch. 1 Quiz pg. 34 1 –3 Ch. 1 Review pg. 75 ex: 1,2 WT: pg. 1^ HQ: pg. 2^ Review operations with signed numbers, order of operations and evaluating linear, quadratic and cubic expressions. Review plotting points in a coordinate lane Demonstrate physical models of points, lines, planes and rays. Model the geometric ways to name points, lines, rays and planes. Have students draw and label various models of points, lines, rays and planes. Model and practice solving one-step algebraic equations. Alternative Assessment and Math Journal pg 71 ex 2 SAT/ACT Chapter Test Pg 70 1 - 2 Pg. xxv Evaluating Expressions Pg. xxiv: The Coordinate Plane Pg. 13 ex: 26 – 41 Pg. 33 ex: 40 – 45 Pg. 49 ex: 1 – 12 WT: pg. 2 WT: pg. 3 WT: pg. 5 ex: 5 - 8 Pg. 7 ex: 46 – 53 Pg. 15 – 16 ex: 1 – 10 Pg. 17 – 20 ex: 1 – 70 SAT/ACT Chapter Test pg 70 ex 4 – 5 WT: pg. 4 HQ: pg. 2 Ch. 1 Quiz pg. 34 ex: 7 – 10 Ch. 1 Review pg. 75 ex: 5-8 Pg. xxv: Solving Equations Pg. 41 ex: 53 – 60 WT pg. 7 ex: 1 – 3 WT pg. 12 * The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of student in the class. ^ These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet. # End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher. Page 1 Learning Outcomes 1.5 Measuring Line Segments – Measure and calculate the length of line segments in figures Chapter Reference 1.5 1.6 Measuring Angles – Identify, draw and label angles. Measure and Calculate the size of angles in figures Chapter Reference 1.6 1.7 CAPT Practice Differentiated Instructional Activities Text Book References* Chapter Resource Book References Use a ruler to find distance between two points. Relate lengths on a ruler to line segments. Use arithmetic and algebraic strategies to find lengths of line segments. Pg. 28 – 30 ex: 1 – 6 Pg. 31 – 33 ex: 1 – 33 Ch. 1 Review pg. 76 ex: 16 – 21 Pg. 35 – 37 ex: 1-6 Pg. 38 – 40 ex: 1 – 52 Ch. 1 Quiz pg. 64 Ch. 1 Review pg. 76 22 – 27 Chemistry, 6 Braille, 7 Moon Phases, 12 3-Wheeled Car, 19 Sculpture, 26 Perspective, 27 Shark Teeth, 28 Runways, 40 Assessments# WT pg. 8 WT pg. 9 Additional CAPT items can be found in these materials at the end of this unit in this Implementation Guide. * The examples noted are for reference only. Teacher has the decision to assign number of examples to meet the needs of the different abilities of student in the class. ^ These references can be found in the Warm-up Transparencies (WT) and Daily Homework Quiz (HQ) booklet. # End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher. Page 2 1.1 Sequences - Notes 1. Go to page 3 in your textbook and study example 1. a. Draw the pattern in example 1. b. Describe the pattern in words. c. Draw the next figure in the sequence 2. Go to page 3 in your textbook and study example 2. a. Write the sequence for part a. b. What is the pattern or rule for the sequence. c. What is the next term in the sequence for part a. d. Write the sequence for part b. e. What is the pattern or rule for the sequence. f. What is the next term in the sequence for part b. 3. Draw or write the following kinds of sequences. a. A picture sequence with a rotating pattern b. A picture sequence that changes in size c. A number sequence that uses an addition pattern d. A number sequence that uses a multiplication pattern e. A number sequence that uses a division pattern Page 1 Page 2 1.2 Algebra Review I 1. Go to page 670, and complete 1 – 18. Make sure to write down the problem, show all your work and circle the answer. Page 3 2. Go to pg. 664 and complete 1 – 12. Label the coordinate plane below and plot and label the points in exercises 13 – 28. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12 1.3 Points, Lines and Planes Page 4 Page 5 1.4 Algebra Review 2 – Solving one-step Equations. Go to page 672 and complete problems 1 – 20. Be sure to write down the problem, show all your work, circle your answer and complete the check procedure. Page 6 1.5 Measuring Line Segments Page 7 Page 8 Page 9 1.8 Angles and their Measures Page 10 Page 11 1.9 CAPT Review Page 12 Page 13 Page 14