Unit 1

Points, Lines, Planes & Angles

3 Weeks

Unit 2

Reasoning & Proof

2 ½ Weeks

Unit 3

Parallel & Perpendicular LInes, Transversals

3 Weeks

Unit 4

Lines in the Coordinate Plane

3 Weeks

Unit 5

Triangles and Quadrilaterals

3 ½ Weeks

Unit 6

Congruent Triangles and Transformations

3 ½ Weeks

Unit 7

Proportions and Similarity

2 Weeks

Unit 8

Right Triangles

3 Weeks

Unit 9

Perimeter and Area

3 Weeks

Unit 10

Circles and Spheres

3 ½ Weeks

Unit 11

Surface Area and Volume

2 ½ Weeks

Unit 1

Points, Lines, Planes and Angles

3 weeks

Instructional Objective

0845.01 Use calculation and measurement with relationship to points, lines, and shapes within a plane.

Standard Reference
G.2.2.2, G.4.1.1, G.4.2.1, G.4.4.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Recognize and name points, segments, lines, rays and planes.

p. 2

TMA

02

Use the ruler postulate and the segment addition postulate.

p. 7

TMA

03

Construct, copy, bisect and name angles.

p. 11

TMA

04

Measure segments and angles with precision

p. 15

TMA

05

Identify and use the concepts of adjacent, vertical, complementary and supplementary angles.

p. 20

TMA

06

Use algebra, linear pair, vertical, complementary, supplementary angles to solve for unknown angles.

p. 24

TMA

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Unit 2

Reasoning and Proof

2½ weeks

Instructional Objective

0845.02 Understand and use a variety of reasoning and problem solving skills.

Standard Reference
G.4.1.3, G.4.1.2, G.4.1.3

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Apply inductive and deductive reasoning.

p. 46, 51, 55

TMA

02

Define and apply terms associated with mathematical logic and reasoning (e.g. hypotheses, conclusion, conditional, counterexample).

p. 36, 41, 51, 55

TMA

03

Use properties from algebra and geometry to begin developing formal proofs.

p. 51, 55

TMA

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Unit 3

Parallel and Perpendicular Lines, Transversals

3 weeks

Instructional Objective

0845.03 Understand and apply the relationships between parallel and perpendicular lines including transversals and quadrilaterals.

Standard Reference
G.3.2.1, G.4.1.3, G.3.1.1, G.4.4.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify Parallel lines.

p. 66-68

TMA

02

Identify exterior, interior, corresponding, alt. interior, alt. exterior angles formed by transversals.

p. 69-71

TMA

03

Solve for missing angles in problems involving parallel lines cut by a transversal.

p. 72-76

TMA

04

Construct Parallel and Perpendicular lines.

p. 77-80

TMA

05

Solve for missing information in parallelograms.

p. 81-84

TMA

06

Solve for missing information in trapezoids.

p. 85-88

TMA

07

Prove two lines are parallel.

p. 89-95

TMA

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Unit 4

Lines in the Coordinate Plane

3 weeks

Instructional Objective

0845.04 Understand relationships between points, lines and angles in the coordinate plane. Find equations of lines.

Standard Reference
G.3.1.1, G.3.2.1, G.4.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify the algebraic equation of a line.

p. 109, 112,

TMA

02

Use ordered pairs to graph lines.

p.121

TMA

03

Find the slope of a line.

p. 115-120

TMA

04

Write equations of lines.

p. 121, 127

TMA

05

Graph lines given slope and points.

p. 127

TMA

06

Find the midpoint of a segment.

p. 131-135

TMA

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Unit 5

Triangles and Quadrilaterals

3 ½ weeks

Instructional Objective

0845.05 Identify and measure sides and angles in triangles and special quadrilaterals.

Standard Reference
G.2.2.2, G.4.1.1, G.4.4.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Construct triangles using sides and angles.

p. 144-154

TMA

02

Classify triangles and quadrilaterals using sides and angles.

p. 144-154

TMA

03

Find missing angles in triangles and quadrilaterals.

p. 161-165

TMA

04

Use properties of special quadrilaterals to classify, find missing sides and angles.

p. 155-160

TMA

05

Classify polygons.

p. 166-171

TMA

06

Construct altitudes, angle bisectors, medians.

p. 172-178

TMA

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Unit 6

Congruent Triangles and Transformations

3 ½ weeks

Instructional Objective

0845.06 Prove triangles are congruent and use coordinate geometry to solve problems involving transformations.

Standard Reference
G.4.1.2, G.4.1.3, G.4.3.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Use SSS, SAS, ASA, H-L to identify congruent triangles.

p. 192-213

TMA

02

Translate an image.

p. 221-223

TMA

03

Rotate an image.

p. 224-227

TMA

04

Reflect an image.

p. 214-220

TMA

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Unit 7

Proportions and Similarity

2 weeks

Instructional Objective

0845.07 Use the concepts of similar shapes and proportions to find missing pieces of geometric shapes.

Standard Reference
G.4.1.2, G.2.1.1, G.2.2.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify equal proportions and determine if two shapes are similar.

p. 236-246

TMA

02

Use proportions to find missing sides in similar triangles.

p. 236-246

TMA

03

Find each interior and exterior angle for regular polygons.

p. 247-252

TMA

04

Enlarge and shrink geometric objects.

p. 253-261

TMA

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Unit 8

Right Triangles

3 weeks

Instructional Objective

0845.08 Apply the geometry of right triangles.

Standard Reference
G.1.3.1, G.4.2.1, G.4.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify Pythagorean Triples.

p. 270-276

TMA

02

Use the Pythagorean Theorem and its converse to find missing side lengths and determine whether a triangle is acute, right, or obtuse.

p. 277-285, p. 299-301

TMA

03

Find missing side lengths and angles of special right triangles.

p. 286-289

TMA

04

Calculate the area of trapezoids using the Pythagorean theorem.

p. 290-293

TMA

05

Find the distance between two points.

p. 294-299

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Unit 9

Perimeter and ARea

3 weeks

Instructional Objective

0845.09 Use formulas to calculate the perimeter and area of polygons.

Standard Reference
G.1.3.1, G.2.1.1, G.2.2.1, G.2.2.2

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Identify formulas for finding perimeters of polygons.

p. 310-316

TMA

02

Use the distance formula to find perimeter.

p. 317-320

TMA

03

Use the Pythagorean Theorem to find perimeter and area.

p. 317-320

TMA

04

Identify formulas for finding the area of polygons.

p. 321-335

TMA

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Unit 10

Circles and Spheres

3 ½ weeks

Instructional Objective

0845.10 Identify the parts of circles and spheres and calculate measurements of them.

Standard Reference
G.1.1.1, G.1.3.1, G.2.1.1, G.2.2.1, G.2.2.2, G.4.1.1, G.4.1.4

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Find the circumference, diameter, and radius of a circle.

p. 344-350

TMA

02

Determine the area of a circle.

p. 351-359

TMA

03

Determine the surface area and volume of a sphere.

p. 372-375

TMA

04

Determine the length and measure of an arc in a circle.

p. 360-363

TMA

05

Determine the area of a sector in a circle.

p. 360-363

TMA

06

Define and use the trigonometric ratios to find the missing sides in right triangles.

p. 368-371

TMA

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Unit 11

Surface Area and Volume

2½ weeks

Instructional Objective

0845.11 Use formulas to determine planar measurements of solids.

Standard Reference
G.2.1.1, G.2.2.1

No.

Performance Objective

Resource Reference

Assessment Correlation

01

Determine the volume of solids.

p. 384-391

TMA

02

Determine the surface area of solids.

p. 392-399

TMA

03

Use formulas to determine a missing dimension of a solid given its surface area or volume.

p. 384-399

TMA