HONORS GEOMETRY

Billings Public Schools

Correlation and Pacing Guide Math - McDougal Littell High School

Math 2007

(Chapter Order: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

2

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Algebra Review (1 day)

Dimensional Analysis Algebra

• Review plotting points and solving equations

pp. 65, 875 and 878

pg. 886

Lesson 1.1 & 1.2 (1 day)

Identify Points, Lines &

Planes

Use Segments &

Congruence

Geometry

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Computation

• Determine whether it is appropriate to express an answer

in exact or approximate form for a given situation. (I, D, E,

A)

Geometry

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Chapter 1 –

Essentials of

Geometry

Approximately

11 days

Lesson 1.3 (1 day)

Midpoint & Distance

Quiz

Computation

• Solve problems involving rational numbers (D, E, A)

Measurement

• Identify, recognize, determine and solve problems using the

measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

• Determine lengths of segments using the distance formula,

find midpoints, and determine whether lines are parallel or

perpendicular using slopes (A)

Before beginning Lesson 1.3 do the activity on p. 33 for

constructing a segment and a

segment bisector

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

3

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 1.4 & 1.5 (1 day)

Angles & Angle Pair

Relationships

Quiz

Computation

• Determine whether it is appropriate to express an answer

in exact or approximate form for a given situation. (I, D, E,

A)

Measurement

• Identify, recognize, determine and solve problems using the

measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

• Use a compass, straightedge, and technology to perform

basic constructions and measurements. (I, D, E, A)

Before beginning Lesson 1.4 do the activity on p. 34 for

constructing duplicate angles

and angle bisectors

After Lesson 1.4 and Before

Lesson 1.5 do An Alternative

Measure of Angles and Complementary and

Supplementary Angles in

Radians found in the Pre-AP Resources

Chapter 1 –

Essentials of

Geometry

(continued)

Lesson 1.6 (1 day)

Classify Polygons

Geometry

• Reason about 2-D geometric figures and the relationships

among them based on their definitions and properties with

emphasis on special triangles, special quadrilaterals,

regular polygons and circles. (I, D, E, A)

Geometric Art Activity

Geometry Sketchpad

Introduction

Or

GeoGebra Introduction

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

4

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 1.7 (1 day)

Perimeter, Circumference

& Area

Computation

• Develop a deeper understanding of solutions that are not

rational, such as simplified radicals, ��, and trig functions.

(D, E, A)

• Determine whether it is appropriate to express an answer

in exact or approximate form for a given situation. (I, D, E,

A)

Measurement

• Develop and use formulas to determine the perimeter and

area of planar figures (I, D, E, A)

Activity Days (2 days)

Integrate these days into the chapter

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 1 –

Essentials of

Geometry

(continued)

Review / Test (2 days)

Use mixed reviews in chapter

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

5

Suggested

Pacing

Student/Teacher

Edition

Learning Objectives – 2nd

Semester

Supporting Materials

Lesson 2.1 (1 day)

Inductive Reasoning

Geometry

• Find counterexamples to disprove false geometric

statements (E, A)

Algebra

• Draw conclusions and make predictions based on

mathematical patterns and relationships (E, A)

• Apply various proof techniques including algebraic, two-

column, paragraph, flow and coordinate proofs. (I, D, E,

A)

Lesson 2.2 (1 day)

Conditional Statements

Algebra

• Identify the hypothesis and conclusion of conditional

statements. (I, D, E, A)

• Identify and determine the converse, inverse and

contrapositive of a conditional statement. (I, D, E, A)

• Determine the validity of conditional statements. (I, D, E,

A)

Emphasis symbols such as: If ∆, then Ο

Chapter 2 –

Reasoning and

Proof

Approximately

12 days

Lesson 2.3 (1 day)

Deductive Reasoning

Quiz

Algebra

• Identify the hypothesis and conclusion of conditional

statements. (I, D, E, A)

• Determine the validity of conditional statements. (I, D, E,

A)

Logic Problems

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

6

Suggested

Pacing

Student/Teacher

Edition

Learning Objectives – 2nd

Semester

Supporting Materials Lesson 2.4 (1 day)

Postulates & Diagrams

Geometry

• Justify similarity of 2-D and 3-D geometric figures based

on theorems, postulates and properties (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Lesson 2.5 (1 day)

Algebra Properties

Number Sense

• Identify and apply associative, commutative, distributive,

identity, inverse and closure properties (A)

Emphasize identity and inverse

Chapter 2 –

Reasoning and

Proof

(continued)

Lesson 2.6 (1 day)

Proving Statements about Segments &

Angles

Measurement

• Identify, recognize, determine and solve problems using the

measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Justify similarity of 2-D and 3-D geometric figures based

on theorems, postulates and properties (I, D, E, A)

• Determine and justify congruence of geometric figures

using deductive reasoning. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Activity Generator

Geo Game-Completing

proofs best after Lesson 2.6

Lesson 2.6 Possible

Replacement Assignment:

• Real Life Application:

When Will I Ever Use

This? – Resource Book

• Challenge Problems

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

7

Suggested

Pacing

Student/Teacher

Edition

Learning Objectives – 2nd

Semester

Supporting Materials Lesson 2.7 (1 day)

Proving Angle Pair

Relationships

Measurement

• Identify, recognize, determine and solve problems using the

measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Technology Activity Keystrokes-Resource Book

with Lesson 2.7

Activity Days (2 days) Integrate these days

into the chapter

Include activities from the following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 2 –

Reasoning and

Proof

(continued)

Review/Test (3 days)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

8

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 3.1 (1 day)

Identify Pairs of Lines &

Angles

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities. (I, D)

Geometry Software

Lesson 3.2 (1 day)

Parallel Lines &

Transversals

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Construction parallel lines

Supplement with collaborated construction materials

Lesson 3.3 (1 day)

Proving Lines are Parallel

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Chapter 3 –

Parallel and

Perpendicular

Lines

Approximately

11 days

Lesson 3.4 (2 days)

Slopes of Lines

Quiz

Geometry

• Determine lengths of segments using the distance

formula, find midpoints, and determine whether lines are parallel or perpendicular using slopes (A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Data Analysis

• Model with linear functions (i.e. C=2πr) (A)

Do this Activity before

Lesson 3.4 Activity Generator: Calculating and Interpreting

Slopes

(TI Navigator)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

9

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 3.5 (1 day)

Parallel & Perpendicular

Slopes

Geometry

• Determine lengths of segments using the distance

formula, find midpoints, and determine whether lines are

parallel or perpendicular using slopes (A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Lesson 3.6 (1 day)

Prove Perpendicular

Lines

Constructions (1 day)

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world applications and career opportunities. (I, D)

All constructions done in a computer lab using Geometry

Software

Taxicab Geometry Activity

Activity Day (1 day)

Integrate these days into

the chapter

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 3 –

Parallel and

Perpendicular

Lines

(continued)

Review / Test (2 days)

Use mixed reviews in chapter

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

10

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 4.1 (1 day)

Triangle Sum Property

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

Angle Sum Activity pg. 216

Polyhedron Bubbles with

Geometer’s Sketchpad after

4.1

Chapter 4 –

Congruent

Triangles

Approximately

13 days

Lesson 4.2 (1 day)

Congruence & Triangles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

Emphasis Corresponding Parts of Congruent Triangles

are Congruent (CPCTC)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

11

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 4.3 & 4.4 (1 day)

SSS, SAS, & HL

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine and justify congruence of geometric figures

using deductive reasoning. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover geometric relationships and gain insights into real-world

applications and career opportunities. (I, D)

Geometry Software

Lab Activity p. 247

Chapter 4 –

Congruent

Triangles

(continued)

Lesson 4.5 (1 day)

ASA & AAS

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine and justify congruence of geometric figures

using deductive reasoning. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities. (I, D)

Geometry Software

Challenge Practice in

Resource Book p. 73

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

12

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 4.6 (1 day)

Congruent Triangles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine and justify congruence of geometric figures

using deductive reasoning. (I, D, E, A)

Lesson 4.7 (1 day)

Isosceles & Equilateral

Triangles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine and justify congruence of geometric figures

using deductive reasoning. (I, D, E, A)

Spend an extra day on proofs

after 4.6 & 4.7

Chapter 4 –

Congruent

Triangles

(continued)

Lesson 4.8 (1 day)

Congruence Transformations

Geometry

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

13

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Activity Day (2 days) Integrate these days into

the chapter

End of Chapter Projects:

• Bridge Project

• Designing a Mural in

Resource Book

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 4 –

Congruent

Triangles

(continued)

Review / Test (3 days)

Use mixed reviews in the chapter

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

14

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 5.1 (1 day)

Midsegments &

Coordinate Proofs

Geometry

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

Activity Generator 5.1-

Investigate Segments and

Triangles

Geometer’s Sketchpad Tour

2: Theorem about

Quadrilaterals

Lesson 5.2 (1 day)

Perpendicular Bisector

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Lesson 5.3 (1 day)

Angle Bisectors

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Chapter 5 –

Relationships

within Triangles

Approximately

12 days

Lesson 5.4 (2 days)

Medians & Altitudes

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities. (I, D)

Geometry Software

Technology activity on p.

326-Constructions on

computer and by hand

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

15

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 5.5 (1 day)

Inequalities in Triangles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities. (I, D)

Geometry Software Chapter 5 –

Relationships

within Triangles

(continued)

Lesson 5.6 (1 day)

Inequalities & Indirect

Proof

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

16

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Activity Day (2 days) Integrate these days into

the chapter

End of Chapter Activity:

• Building a Mobile

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 5 –

Relationships

within Triangles

(continued)

Review / Test (3 days)

Used mixed review in the

chapter

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

17

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 6.1 (1 day)

Ratios, Proportion &

Geometric Mean

Number Sense

• Apply proportions and percents to real-world problems

and develop an understanding of percent change (E,

A)

Golden Rectangle Activity

Fascinating Fibonacci’s

Lesson 6.2 (1 day)

Proportions

Number Sense

• Apply proportions and percents to real-world

problems. (A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions

and properties with emphasis on special triangles,

special quadrilaterals, regular polygons and circles. (I,

D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

Chapter 6 –

Similarity

Approximately

12 days

Lesson 6.3 (1 day)

Similar Polygons

Quiz

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities. (I, D)

Real world examples of

Golden Ratio

Resource Book p. 41

6.1-6.3 Mixed Problem

Solving and Challenge Problems p. 43

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

18

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 6.4 & 6.5 (2 days)

AA Similarity, SSS &

SAS

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

Pre-AP Similar Triangles-Radian

Lesson 6.6 (1 day)

Proportionality Theorem

Number Sense

• Apply proportions and percents to real-world problems

and develop an understanding of percent change (E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

Fractals Extension p. 406

Or

Geometers Sketchpad Fractal Tour

Or

Make a Fractal Snowflake Or

Resource Book p. 101-Self

Similarity Activity

Chapter 6 –

Similarity

(continued)

Lesson 6.7 (1 day)

Similarity

Transformations

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

19

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Activity Day (2 days) Integrate these days into

the chapter

Include activities from the following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 6 –

Similarity

(continued)

Review, Testing (3 days)

Use mixed review in chapter

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

20

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 7.1 & 7.2 (2 days)

Pythagorean Theorem &

Converse of Pythagorean Theorem

Computation

• Develop a deeper understanding of solutions that are not

rational, such as simplified radicals, π , and trig

functions. (D, E, A)

• Determine whether it is appropriate to express an

answer in exact or approximate form for a given

situation. (I, D, E, A)

Measurement

• Solve problems involving the Pythagorean Theorem (E,

A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world applications and career opportunities. (I, D)

Pythagorean Theorem Game

Interdisciplinary Activity

Resource Book-Kitchen

Triangle

Chapter 7 –

Right Triangles

and

Trigonometry

Approximately

14 days

Lesson 7.3 (1 day)

Similar Right Triangles

Measurement

• Solve problems involving the Pythagorean Theorem (E,

A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

21

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Chapter 7 –

Right Triangles

and

Trigonometry

(continued)

Lesson 7.4 (2 days)

Special Right Triangles

Quiz

Computation

• Develop a deeper understanding of solutions that are not

rational, such as simplified radicals, π , and trig

functions. (D, E, A)

• Determine whether it is appropriate to express an

answer in exact or approximate form for a given

situation. (I, D, E, A)

Measurement

• Recognize and identify the ratios of sides in 45-45-90

and 30-60-90 triangles. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Before 7.4: Resource Guide

p. 48-Investigate Special

Right Triangles

Challenge Worksheet

Problems

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

22

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Lesson 7.5 & 7.6 (2 days)

Sine, Cosine & Tangent

Computation

• Develop a deeper understanding of solutions that are not

rational, such as simplified radicals, π , and trig

functions. (D, E, A)

• Determine whether it is appropriate to express an

answer in exact or approximate form for a given

situation. (I, D, E, A)

Geometry

• Use the sine, cosine, and tangent functions to find

lengths and angle measures (E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world applications and career opportunities (I, D)

• Evaluate trigonometric values (I, D)

Geometer’s Sketchpad Technology Activity-Sine-

Cosine Ratios

Resource Book p. 76

Chapter 7 –

Right Triangles

and

Trigonometry

(continued)

Lesson 7.7 (2 days)

Solve Right Triangles

Measurement

• Solve problems involving the Pythagorean Theorem (E,

A)

Geometry

• Use the sine, cosine, and tangent functions to find

lengths and angle measures (E, A)

• Solve triangles using Laws of Cosine and Law of Sine.

(I, D)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world applications and career opportunities (I, D)

Extension p. 490-Law of

Sines & Cosines

Day 1: Side Day 2: Inverse to find angle

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

23

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 1

st Semester

Supporting Materials

Activity Day (2 days) Integrate these days into

the chapter

Include activities from the following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the book

Chapter 7 –

Right Triangles

and

Trigonometry

(continued)

Review / Test (3 days)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

24

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 8.1 (1 day)

Angle Measures in

Polygons

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Geometry Software

Pre-AP Inscribed Polygons p.

359

Chapter 8 –

Quadrilaterals

Approximately

11 days

Lesson 8.2 & 8.3 (2 days)

Properties of

Parallelograms

Show a parallelogram is a

quadrilateral

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Use coordinate geometry to classify geometric figures

by finding slope and length of side. (I, D, E, A)

Problem Solving Workshop-

Resource Book Mixed Problem Solving

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

25

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 8.4 (1 day)

Properties of a Rhombus,

Rectangle & Square

Quiz

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Lesson 8.5 (1 day)

Properties of Trapezoids

and Kites

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Pre-AP Almost a Trapezoid

p. 363

After 8.5 p. 550

Extension Activity-Draw 3-D Figures and Sugar Cube

Activity

Chapter 8 –

Quadrilaterals

(continued)

Lesson 8.6 (1 day)

Identify Special

Quadrilaterals

Measurement

• Identify, recognize, determine and solve problems using

the measures of angle pairs associated with parallel,

intersecting and perpendicular lines. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

26

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Activity Day (2 days) Integrate these days into

the chapter

Include activities from the following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 8 –

Quadrilaterals

(continued)

Review / Test (3 days)

Use mixed review in chapter

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

27

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 9.1 (1 day)

Translate Figures &

Use Vectors

Geometry

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

Use Pre-AP Activities throughout Chapter 9

Lesson 9.2 (1 day)

Properties of Matrices

Geometry

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

Technology

• Compute using matrices (I, D)

Chapter 9 –

Properties of

Transformations

Approximately

18 days

Lesson 9.3 (1 day)

Perform Reflections

Geometry

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Crazy Cartoons Calculator

Activity-Incorporate 4 days throughout including

presentations

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

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28

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Pacing

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Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 9.4 (2 days)

Perform Rotations

Geometry

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Applets Chapter 9 –

Properties of

Transformations

(continued)

Lesson 9.5 (1 day)

Compositions of

Transformations

Geometry

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Applets

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

29

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 9.6 (1 day)

Symmetry

Geometry

• Apply the properties of transformations with regard to

similarity, congruence and determine lines and points of

symmetry (A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Applets Chapter 9 –

Properties of

Transformations

(continued)

Lesson 9.7 (1 day)

Dilations

Geometry

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

• To determine and identify the image of a figure using

transformations (rotation, reflection, translation and

dilation) (I, D, E, A)

• Use multiple representations including sketches, vectors,

matrices, and coordinates to describe transformations

(I, D, E, A)

• Apply the properties of transformations with regard to

similarity, congruence and determine lines and points of

symmetry (A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Challenge Practice Resource

Book-Transformations with Variable Representations

Challenge Worksheet Review

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

30

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Activity Day (7 days) Integrate these days

into the chapter

Chapter Project:

• Crazy Cartoons (Use

TI-92 or Geometry

Drawing Utility)

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge

Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the book

Chapter 9 –

Properties of

Transformations

(continued)

Review / Test (3 days)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

31

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Review Quadratics (1 day)

Algebra Determine solutions to quadratic functions through factoring,

square roots, and graphs. (D)

p. 713 p. 883: 1-12, 25-39

Chapter 10 –

Properties of

Circles

Approximately

12 days

Lesson 10.1 (1 day)

Tangents

Measurement

• Solve problems involving the Pythagorean Theorem (E,

A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Use the sine, cosine, and tangent functions to find

lengths and angle measures (E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Pre-AP- Other Types of

Tangents p. 375 (Do after

10.1)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

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32

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 10.2 (1 day)

Arc Measures

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Chapter 10 –

Properties of

Circles

(continued)

Lesson 10.3 (1 day)

Properties of Chords

Quiz

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world applications and career opportunities (I, D)

Geometry Software

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

33

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 10.4 & 10.5 (1 day)

Inscribed Angles

Angle Relationships in

Circles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Resource Book When Will I Ever Use This p. 56

Challenge Problems p. 57

Satellites

Chapter 10 –

Properties of

Circles

(continued)

Lesson 10.6 (1 day)

Segment Lengths in

Circles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Extension Drawing Loci with Compass p. 697

Resource Book When am I Gonna Use This p. 85 Saturn

Activity

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

34

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 10.7 (1 day)

Graphing & Writing

Equations of Circles

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

• Use coordinate geometry to classify geometric figures by

finding slope and length of side. (I, D, E, A)

Extension after 10.7-Create Unit Circle with Radians &

Degrees

End of Chapter Challenge Worksheet

Resource Book Exploring Circles p. 89

Activity Day (2 days)

Integrate these days

into the chapter

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-

Technology Challenge Problems

• Extensions included in

the book

• Animated Geometry

• Constructions in the

book

Chapter 10 –

Properties of

Circles

(continued)

Review / Test (3 days)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

35

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Factoring Binomials & Trinomials (1 day)

Review factoring p. 713

Lesson 11.1 & 11.2

(1 day)

Areas of Triangles,

Parallelograms,

Trapezoids, Rhombi and Kites

Measurement

• Analyze precision accuracy and approximate error in

measuring length area and volume, and choose

appropriate unit (I, D, E, A)

• Develop and use formulas to determine the perimeter

and area of planar figures (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

Chapter 11 –

Measuring

Length and Area

Approximately

12 days

Lesson 11.3 (1 day)

Perimeter & Area of Similar Figures

Measurement

• Develop and use formulas to determine the perimeter

and area of planar figures (I, D, E, A)

• Analyze changes in area and volume in relation to

changes in linear measures of plane and space figures. (D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Justify similarity of 2-D and 3-D geometric figures

based on theorems, postulates and properties (I, D, E,

A)

Resource Book Mixed

Problem Solving and

Challenge Problems (After 11.3)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

36

Suggested

Pacing Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Chapter 11 –

Measuring

Length and Area

(continued)

Lesson 11.4 & 11.5

(1 day)

Circumference & Arc

Length

Areas of Circles &

Sectors

Computation

• Determine whether it is appropriate to express an

answer in exact or approximate form for a given

situation. (I, D, E, A)

• Develop a deeper understanding of solutions that are not

rational, such as simplified radicals, π , and trig

functions. (D, E, A)

Measurement

• Develop and use formulas to determine the perimeter

and area of planar figures (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Explore Non-Euclidean Geometry. (I)

Extension Non-Euclidean

Geometry p. 753

Resource Book Real-Life

Running Track p. 58 and

Challenge Problems p. 59

Resource Book

Interdisciplinary Applications

p. 73

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

37

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Chapter 11 –

Measuring

Length and Area

(continued)

Lesson 11.6 (2 days)

Area of Regular

Polygons

Computation

• Determine whether it is appropriate to express an

answer in exact or approximate form for a given

situation. (I, D, E, A)

Measurement

• Develop and use formulas to determine the perimeter

and area of planar figures (I, D, E, A)

• Solve problems involving the Pythagorean Theorem (E,

A)

• Recognize and identify the ratios of sides in 45-45-90

and 30-60-90 triangles. (I, D, E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Use the sine, cosine, and tangent functions to find

lengths and angle measures (E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Spreadsheet

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

38

Suggested

Pacing

Student/Teacher

Edition Learning Objectives – 2

nd Semester

Supporting Materials

Lesson 11.7 (1 day)

Geometric Probability

Measurement

• Develop and use formulas to determine the perimeter

and area of planar figures (I, D, E, A)

• Estimating perimeter, area, and volume of irregular

regions (E, A)

Geometry

• Reason about 2-D geometric figures and the

relationships among them based on their definitions and

properties with emphasis on special triangles, special

quadrilaterals, regular polygons and circles. (I, D, E, A)

• Determine relationship of points, lines, parts of lines and

planes in space (I, D, E, A)

Probability

• Apply a geometric model to determine experimental and

theoretical probability. (I, D)

Extra Example 3

Build a Dart Board p. 773 and

throw paper airplanes 25

times to practice probability

Activity Day (2 days)

Integrate these days into the chapter

Include activities from the

following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-Technology

Challenge Problems

• Extensions included in the

book

• Animated Geometry

• Constructions in the book

Chapter 11 –

Measuring

Length and Area

(continued)

Review / Test (3 days)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

39

Suggested

Pacing

Student/Teacher

Edition Learning Objectives –2

nd Semester Supporting Materials

Lesson 12.1 (1 day)

Solids

Geometry

• Reason about 2-D geometric figures and the relationships

among them based on their definitions and properties with

emphasis on special triangles, special quadrilaterals,

regular polygons and circles. (I, D, E, A)

• Visualize and draw 3-D objects from different perspectives

and analyze their cross-sections (D, E)

Designing a Theatre Activity

Build a Container 12.1-12.7

Resource Book Challenge

Problems p. 18

Lesson 12.2 (1 day)

Surface Area Prisms & Cylinders

Measurement

• Develop and use formula to determine the volume and

surface area of space figures including composite figures.

(D, E, A)

Geometry

• Reason about 3-D geometric figures and the relationships

among them based on their definitions and properties, with

emphasis on spheres, prisms, pyramids, cylinders and

cones. (I, D, E, A)

Chapter 12 –

Surface Area

and Volume of

Solids

Approximately

18 days

Lesson 12.3 (1 day)

Surface Area of

Pyramids & Cones

Measurement

• Develop and use formula to determine the volume and

surface area of space figures including composite figures.

(D, E, A)

Geometry

• Reason about 3-D geometric figures and the relationships

among them based on their definitions and properties, with

emphasis on spheres, prisms, pyramids, cylinders and

cones. (I, D, E, A)

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

40

Suggested

Pacing

Student/Teacher

Edition Learning Objectives –2

nd Semester Supporting Materials

Lesson 12.4 (1 day)

Volume of Prisms &

Cylinders

Measurement

• Develop and use formula to determine the volume and

surface area of space figures including composite figures.

(D, E, A)

Geometry

• Reason about 3-D geometric figures and the relationships

among them based on their definitions and properties, with

emphasis on spheres, prisms, pyramids, cylinders and

cones. (I, D, E, A)

Lesson 12.5 (1 day)

Volume of Pyramids &

Cones

Measurement

• Develop and use formula to determine the volume and

surface area of space figures including composite figures.

(D, E, A)

Geometry

• Reason about 3-D geometric figures and the relationships

among them based on their definitions and properties, with

emphasis on spheres, prisms, pyramids, cylinders and

cones. (I, D, E, A)

Chapter 12 –

Surface Area

and Volume of

Solids

(continued)

Lesson 12.6 (1 day)

Spheres

Measurement

• Develop and use formula to determine the volume and

surface area of space figures including composite figures.

(D, E, A)

Geometry

• Reason about 3-D geometric figures and the relationships

among them based on their definitions and properties, with

emphasis on spheres, prisms, pyramids, cylinders and

cones. (I, D, E, A)

Pre-AP Solids of Revolution

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

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41

Suggested

Pacing

Student/Teacher

Edition Learning Objectives –2

nd Semester Supporting Materials

Chapter 12 –

Surface Area

and Volume of

Solids

(continued)

Lesson 12.7 (1 day)

Similar Solids

Measurement

• Analyze changes in area and volume in relation to changes

in linear measures of plane and space figures. (D, E, A)

• Develop and use formula to determine the volume and

surface area of space figures including composite figures.

(D, E, A)

Geometry

• Reason about 3-D geometric figures and the relationships

among them based on their definitions and properties, with

emphasis on spheres, prisms, pyramids, cylinders and

cones. (I, D, E, A)

• Solve problems involving similarity and congruence in 2-D

and 3-D figures using theorems, postulates and properties.

(I, D, E, A)

Technology

• Use appropriate technology to explore and discover

geometric relationships and gain insights into real-world

applications and career opportunities (I, D)

Spreadsheet Activity 12.7 p. 846

BILLINGS PUBLIC SCHOOLS Honors Geometry – 2009

McDougal Littell Geometry 2007 Correlation/Pacing Draft

I - Introduce the learning objective, D – Develop the learning objective, E - Essential learning objective, and A – Apply the learning objective

42

Suggested

Pacing

Student/Teacher

Edition Learning Objectives –2

nd Semester Supporting Materials

Activity Day (8 days) Integrate these days

into the chapter

Chapter Project:

• Investigating Solids

Building & Calculating

Lateral Area, Surface Area

and Volume Activity

Include activities from the following sources:

• Pre-AP Resources

• Activity Generator

• Geometers Sketchpad

• GeoGebra

• Resource Book-Technology

Challenge Problems

• Extensions included in the

book

• Animated Geometry

• Constructions in the book

Review / Test (3 days)

Chapter 12 –

Surface Area

and Volume of

Solids

(continued)

Suggested Review

Topics for Algebra II • Quadratics/Quadratic

Formula

• Multi-step Equations

• Factoring

• Exponents

• Systems

• Graphing Lines

• Trigonometry