Discovering Geometry, Fifth Edition

Investigations provide a careful blend of guidance and discovery that stimulates learning. Some are purely mathematical while others are based in real-world situations and incorporate steps that help guide students through the investigation. Students may work in pairs and in groups, and each investigation provides rich discussion opportunities for whole-class participation.

Conjectures steer student-formed conclusions into clear mathematical language and stock the students' evolving knowledge framework with solid content.

Developing Proof activities carefullly support students' growing understanding of proof. Working in groups or pairs, students initially write a deductive argument and progress to more formal proof.

Performance Tasks are included with each chapter. Students utilize the concepts from the chapter and previous chapters to solve a more rigorous task. These tasks provide less scaffolding than the investigations and require students to determine a solution method and justify their thinking.

The LISA lesson plan model is a research-based framework for teaching the content while cultivating the Mathematical Practices. The LISA planning model is a four step learning cycle model. The four steps are:

Launch: Ways to spark interest, assess prior knowledge, make connections, use engaging scenarios, etc.

Investigate: Ways for students to become actively involved with the problem, skill, or concept

Summarize: Ways for students to articulate mathematical ideas and vocabulary from the lesson, and to compare and contrast ideas and strategies.

Apply: Ways for students to practice what they have learned, extend the use of skills and concepts learned, and to make connections to other learning

Differentiated Instruction recommendations for each lesson allow teachers to easily adjust instruction for English language learners, struggling learners and advanced learners

Modifying the Investigation gives three pacing options - Whole Class, Shortened, and One Step - that provides flexibility in lesson planning

Critical Questions and Big Ideas point out important topics from each lesson, help frame discussion, and connect the investigation to the learning objectives.
 

Solutions Manual

Answers with worked-out solutions to exercises, chapter reviews, mixed reviews, Improving Your Skills, and Take Another Look are more complete than the annotations in the Teacher’s Edition or the selected answers in the student book.

Teaching and Worksheet Masters

Blackline masters of select student text, enlarged graphics, and sample data sets can be used as student handouts or overhead transparencies.

Investigation Worksheets

This downloadable resource provides a worksheet for every investigation to make your lesson planning easy. For investigations that involve collecting data, two versions of the worksheet are provided––one with sample data and one without. These worksheets include graph and table templates as needed and space for student work.

Assessment Resources

Quizzes, tests, and exams with answers and constructive assessments with grading rubrics. More Practice Your Skills Student Workbook and More Practice Your Skills with Answers

Blackline masters of additional practice problems and answers can be used as student handouts or overhead transparencies.

Condensed Lessons: A Tool for Parents and Tutors

Direct-teaching lessons enable students who miss class to catch up.

A Guide for Parents

This guide includes tips for working with students, chapter summary exercises, and review exercises with complete solutions in both English and Spanish.

Discovering Geometry with The Geometer’s Sketchpad®

Activities and pre-made sketches that are adapted from the student text use The Geometer’s Sketchpad to replace investigations or supplement lessons helping you integrate Dynamic Geometry® Software into your teaching.

More Projects and Explorations

This volume includes activities collected from Discovering Geometry classrooms across the country, including Teacher’s Notes that suggest how to use the activities and provide answers or possible outcomes.

Also consider add elements from page xxi from the TE for features of the ebook

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