|
Chapter
1: Using Linear Systems to Solve Problems |
41 |
| Connections |
42 |
| Getting Ready |
44 |
| 1.1 |
Modelling with Linear Equations |
46 |
| 1.2 |
Exploration: Tables of Values and Linear
Systems |
54 |
| 1.3 |
Solving Linear Systems: Graphing
by Hand |
56 |
| 1.4 |
Technology: Graphing
Lines Using the TI-83 Plus Calculator |
64 |
| 1.5 |
Investigating Ways That Two Lines
Can Intersect |
66 |
| 1.6 |
Technology: Determining
the Point of Intersection |
74 |
| 1.7 |
Solving a Linear System Using
Graphing Technology |
76 |
| 1.8 |
Solving a Linear System Algebraically:
Substitution |
86 |
| 1.9 |
Solving a Linear System Algebraically:
Elimination |
96 |
| 1.10 |
Technology: Linear
Regression Using the TI-83 Plus Calculator |
105 |
| 1.11 |
Modelling Using Linear Systems |
108 |
| Chapter 1 Review |
118 |
| Chapter 1 Test |
136 |
| Chapter 1 Review Test |
137 |
| Chapter
2: Coordinates and Geometry: Where Shapes Meet Symbols |
139 |
| Connections |
140 |
| Getting Ready |
142 |
| 2.1 |
Exploration: Graphical
Images: Combining Symbolic and Visual Models |
144 |
| 2.2 |
Technology: Using The
Geometer's Sketchpad |
146 |
| 2.3 |
Distance on the Plane—Part
I: Distance From the Origin |
149 |
| 2.4 |
The Equation of a Circle |
153 |
| 2.5 |
Distance on the Plane—Part
II |
158 |
| 2.6 |
Technology: The Geometer's Sketchpad:
The Midpoint of a Line Segment |
166 |
| 2.7 |
Finding the Midpoint of a
Line Segment |
168 |
| 2.8 |
Classifying Shapes on a Coordinate
Plane |
176 |
| 2.9 |
Technology: The Geometer's Sketchpad: The
Point of Intersection |
185 |
| 2.10 |
Using the Point of Intersection
to Solve Problems |
186 |
| 2.11 |
Verifying Geometric Properties |
198 |
| Chapter 2 Review |
205 |
| Chapter 2 Test |
217 |
| Chapter 2 Review Test |
218 |
|
Chapter
3: Analyzing and Applying Quadratic Models |
241 |
| Connections |
242 |
| Getting Ready |
244 |
| 3.1 |
Quadratic Relations |
246 |
| 3.2 |
Properties of Quadratic Relations |
261 |
| 3.3 |
Technology: Finding
the Zeros of a Quadratic Relation Using a TI-83 Plus Calculator |
270 |
| 3.4 |
The Role of the Zeros of a
Quadratic Relation |
273 |
| 3.5 |
Exploration: Multiplying
Binomials Using Algebra Tiles |
287 |
| 3.6 |
Technology: Using Quadratic
Regression to Find the Curve of Best Fit with a TI-83 Plus Calculator |
290 |
| 3.7 |
Standard Form of a Quadratic
Relation |
292 |
| 3.8 |
Extending Algebra Skills:
Factoring Quadratic Expressions |
302 |
| 3.9 |
Solving Problems with Quadratic Equations |
310 |
| Chapter 3 Review |
319 |
| Chapter 3 Test |
336 |
| Chapter 3 Review Test |
337 |
| Chapter
4: Quadratic Relations: Using The Model to Ask and Answer Questions |
339 |
| Connections |
340 |
| Getting Ready |
342 |
| 4.1 |
Exploration: Quadratic
Dental Models |
344 |
| 4.2 |
The Vertex Form of a Quadratic
Relation |
345 |
| 4.3 |
Using Technology to Investigating
Transformations of Quadratics |
357 |
| 4.4 |
Using Symmetry to Relate Standard
Form to Vertex Form |
369 |
| 4.5 |
Technology: Finding
the Maximum or Minimum Values of a Quadratic Relation |
382 |
| 4.6 |
Determining Maximum and Minimum
Values Algebraically: Completing the Square |
384 |
| 4.7 |
Solving Quadratic Equations: The Quadratic
Formula |
395 |
| 4.8 |
Investigating Quadratic Relations
|
408 |
| Chapter 4 Review |
416 |
| Chapter 4 Test |
428 |
| Chapter 4 Review Test |
429 |
| Chapter
5: Introduction to Trigonometry |
445 |
| Connections |
446 |
| Getting Ready |
448 |
| 5.1 |
Technology: Constructing
Triangles with The Geometer's Sketchpad |
450 |
| 5.2 |
Investigating and Comparing Triangles |
455 |
| 5.3 |
Technology: Enlarging
or Reducing a Triangle with The Geometer's Sketchpad |
465 |
| 5.4 |
Modelling with Similar Triangles |
467 |
| 5.5 |
Exploration: Slopes and Angles
of Ramps |
479 |
| 5.6 |
Investigating the Connection
Between Slope and Angle |
480 |
| 5.7 |
The Primary Trigonometric
Ratios |
490 |
| 5.8 |
Solving Problems Using Right Triangle Models and
Trigonometry |
502 |
| Chapter 5 Review |
512 |
| Chapter 5 Test |
525 |
| Chapter 5 Review Test |
526 |
| Chapter
6: Investigating Non-Right Triangles as Models for Problems
|
527 |
| Connections |
528 |
| Getting Ready |
530 |
| 6.1 |
Exploration: Quadratic Dental
Models |
532 |
| 6.2 |
The Vertex Form
of a Quadratic Relation |
534 |
| 6.3 |
Using Technology to Investigating
Transformations of Quadratics |
545 |
| 6.4 |
Using Symmetry to Relate Standard
Form to Vertex Form |
552 |
| 6.5 |
Technology: Finding the Maximum or Minimum
Values of a Quadratic Relation |
558 |
| 6.6 |
Determining Maximum and Minimum
Values Algebraically: Completing the Square |
560 |
| 6.7 |
Solving Quadratic Equations:
The Quadratic Formula |
571 |
| Chapter 6 Review |
578 |
| Chapter 6 Test |
585 |
| Chapter 6 Review Test |
586 |
