hs pacing guide geometry - cjusd

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Geometry Pacing Guide Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary Labs/ Enrichment Activities 1—Start-Up/ Review ***************** ***** Note: Reteaching from Ready to Go On Quizzes indicate time built in for Intervention lessons/ student mastery of previously taught material. Classroom rules, expectations, grading policy for the course. Inter- vention review—Alg 1/ Math 7 traditional low-performance areas: Note: These are Key CAHSEE Standards 7th M&G 2.1 —Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and vol- ume of basic three-dimensional figures, including rectangles, paral- lelograms, trapezoids, squares, triangles, circles, prisms, and cylin- ders. 7th M&G 2.2 Estimate and compute the area of more complex or irregular two– and three– dimensional figures by breaking the fig- ures down into more basic geometric objects. 7th M&G 3.2 —Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections. 7th M&G 3.3 —Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situa- tions, empirically verify the Pythagorean theorem by direct measure- ment. Use Edusoft to print a report of your particular student weak- nesses in this area and deter- mine your focus. Wk 2 1.1: Understanding Points, Lines, and Planes; 1.2: Measuring and Constructing Segments; 1.3: Measuring and Constructing Angles; 1.0~Students demonstrate understanding by identifying and giving exam- ples of undefined terms, axioms, theorems, and inductive and deductive reasoning. 16.0~Students perform basic constructions with a straightedge and com- pass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. 1.1, 1.2, 1.3 Undefined terms: point, line, and plane. Collinear, coplanar, seg- ment, endpoint, ray, opposite rays, postulate, coordinate, distance, length, congruent segments, con- struction, between, midpoint, bi- sects, segment bisector, angle, vertex, interior of an angle, exte- rior of an angle, measure, degree, congruent angles, angle bisector Technology Lab - Properties w/ Points 1 st Construction Copying a Segment (1.2) Patty Paper - Segment Bisector 2 nd Construction Congruent Angles (1.3) 3 rd Construction Angle Bisector (1.3) Quarter 1

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Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs/ Enrichment Activities

1—Start-Up/ Review ********************** Note: Reteaching from Ready to Go On Quizzes indicate time built in for Intervention lessons/ student mastery of previously taught material.

Classroom rules, expectations, grading policy for the course. Inter-vention review—Alg 1/ Math 7 traditional low-performance areas: Note: These are Key CAHSEE Standards 7th M&G 2.1—Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and vol-ume of basic three-dimensional figures, including rectangles, paral-lelograms, trapezoids, squares, triangles, circles, prisms, and cylin-ders. 7th M&G 2.2— Estimate and compute the area of more complex or irregular two– and three– dimensional figures by breaking the fig-ures down into more basic geometric objects. 7th M&G 3.2—Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections. 7th M&G 3.3—Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situa-tions, empirically verify the Pythagorean theorem by direct measure-ment.

Use Edusoft to print a report of your particular student weak-nesses in this area and deter-mine your focus.

Wk 2 1.1: Understanding Points, Lines, and Planes; 1.2: Measuring and Constructing Segments; 1.3: Measuring and Constructing Angles;

1.0~Students demonstrate understanding by identifying and giving exam-ples of undefined terms, axioms, theorems, and inductive and deductive reasoning. 16.0~Students perform basic constructions with a straightedge and com-pass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line.

1.1, 1.2, 1.3 Undefined terms: point, line, and plane. Collinear, coplanar, seg-ment, endpoint, ray, opposite rays, postulate, coordinate, distance, length, congruent segments, con-struction, between, midpoint, bi-sects, segment bisector, angle, vertex, interior of an angle, exte-rior of an angle, measure, degree, congruent angles, angle bisector

Technology Lab -Properties w/ Points 1st Construction –

Copying a Segment (1.2) Patty Paper - Segment

Bisector 2nd Construction –

Congruent Angles (1.3) 3rd Construction –

Angle Bisector (1.3)

Quarter 1

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrich-ment Activities

Wk 3 1.4: Pairs of Angles; 1.5: Using Formulas in Geometry; 1.6: Midpoint and Distance in the Coordinate Plane;

8.0~Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 13.0~Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles. 15.0~Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. 17.0~Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles.

1.4 *Ready to Go On Quiz *Reteach 1.1 – 1.4 1.5, 1.6 Adjacent, vertical, complementary, and supplementary angles. Linear pair, base, height, diameter, radius, pi, coordinate plane, legs, hypotenuse

Concept Connec-tion Connecting to

Algebra - Graphing in the Coordinate Plane

Wk 4 1.6: Midpoint and Distance in the Coordinate Plane; 2.1: Using Inductive Reasoning to Make Conjectures;

1.0~Students demonstrate understanding by identifying and giv-ing examples of undefined terms, axioms, theorems, and induc-tive and deductive reasoning. 3.0~Students construct and judge the validity of a logical argu-ment and give counterexamples to disprove a statement. 15.0~Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. 17.0~Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles.

1.6 *Ready to Go On Quiz *Reteach 1.5, 1.6 *Unit 1 Test Review *Unit 1 Test 2.1 Coordinate plane, legs, hypotenuse, counter examples, conjectures

Enrichment - 1.7: Transformations in the Coordinate Plane

Wk 5 2.1: Using Inductive Reasoning to Make Conjectures; 2.2: Conditional Statements; 2.3: Using Deductive Reasoning to Verify Conjectures; 2.4: Bi-Conditional Statements and Definitions;

1.0~Students demonstrate understanding by identifying and giv-ing examples of undefined terms, axioms, theorems, and induc-tive and deductive reasoning. 3.0~Students construct and judge the validity of a logical argu-ment and give counterexamples to disprove a statement.

2.1 – 2.4 *Ready to Go On Quiz *Reteach 2.1 – 2.4 Counter examples, conjectures, in-verse, converse, contrapositive, condi-tional, deductive reasoning

Connecting to Geo – Venn Diagrams Geo Lab – Solve

Logic Puzzles Concept Connec-

tion

Quarter 1

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 6 2.5: Algebraic Proof; 2.6: Geometric Proof;

1.0~Students demonstrate understanding by identifying and giv-ing examples of undefined terms, axioms, theorems, and induc-tive and deductive reasoning. 2.0~Students write geometric proofs, including proofs by contra-diction.

2.5, 2.6 *Ready to Go On Quiz *Reteach 2.5 – 2.6 Proof, equality, congruent, reflex-ive, symmetric, transitive, theo-rem, 2-column proof, comple-ment, supplement

Geo Lab – Design Plans for Proofs Concept Connection Enrichment – 2.7:

Flowchart and Paragraph Proofs

Wk 7 3.2: Angles Formed by Parallel Lines and Transversals; 3.3: Proving Lines Parallel

7.0~Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 16.0~Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line.

*Unit 2 Test Review *Unit 2 Test 3.2, 3.3 Interior, exterior, postulate, par-allel, transversal, consecutive, converse, corresponding, alter-nate

Enrichment – 3.1: Lines and Angles Technology Lab –

Parallel lines and Trans-versals

Wk 8 3.3: Proving Lines Parallel; 3.4: Perpendicular Lines; 3.5: Slopes of Lines;

2.0~Students write geometric proofs, including proofs by contra-diction. 7.0~Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 16.0~Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line.

3.3, 3.4 *Ready to Go On Quiz *Reteach 3.2 – 3.4 3.5 Slope, rise, run, rate of change, opposite, reciprocals, converse, perpendicular bisector

4th Construction – Line Parallel to a Given Line through a Point off the Line (3.3) 5th Construction –

Perpendicular Bisector of a Segment (3.4) 6th Construction –

Line Perpendicular to a Given Line through a Given Point (Geo Lab) Technology Lab –

Parallel and Perpendicular Lines

Quarter 1

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 9 3.6: Lines in the Coordinate Plane 4.1: Classifying Triangles

12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify fig-ures and solve problems. 17.0~Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance for-mula, and various forms of equations of lines and circles.

3.6 *Ready to Go On Quiz *Reteach 3.5, 3.6 *Unit 3 Test Review *Unit 3 Test 4.1 Intersecting, coincide, classify, equa-tion, along with acute, equiangular, right, obtuse, equilateral, isosceles, and scalene triangles

Concept Connection Geo Lab – Develop

the Triangle Sum Theorem

Wk 10 4.2: Angle Relationships; 4.3: Congruent Triangles; 4.4: Triangle Congruence: SSS & SAS;

2.0~Students write geometric proofs, including proofs by contradiction. 5.0~Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify fig-ures and solve problems. 13.0~Students prove relationships between angles in poly-gons by using properties of complementary, supplementary, vertical, and exterior angles.

4.2, 4.3 *Ready to Go On Quiz *Reteach 4.1 – 4.3 4.4 Corollary, interior, exterior, interior angle, exterior angle, remote interior angle, corresponding angles, sides, polygons, congruence

Concept Connection Geo Lab – Explore

SSS and SAS Triangle Congruence

Quarter 1

End Quarter 1

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Ac-tivities

Wk 11 4.4: Triangle Congruence SSS, SAS; 4.5: Triangle Congruence ASA, AAS, HL; 4.7: Introduction to Coordinate Proof;

2.0~Students write geometric proofs, including proofs by contradiction. 4.0~Students prove basic theorems involving congruence and similarity. 5.0~Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles. 16.0~Students perform basic constructions with a straight-edge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. 17.0~Students prove theorems by using coordinate geome-try, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and cir-cles.

4.4, 4.5, 4.7 Triangle rigidity, included angle, included side, CPCTC

Technology Lab – Predict Other Triangle Congruence Relationships Connecting to Algebra –

Quadratic Equations

Wk 12 4.8: Isosceles and Equilateral Tri-angles; 5.1: Perpendicular and Angle Bi-sectors;

2.0~Students write geometric proofs, including proofs by contradiction. 4.0~Students prove basic theorems involving congruence and similarity. 12.0~Students find and use measures of sides and of inte-rior and exterior angles of triangles and polygons to clas-sify figures and solve problems. 17.0~Students prove theorems by using coordinate geome-try, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and cir-cles.

4.8 *Ready to Go On Quiz *Reteach 4.4 – 4.8 *Unit 4 Test Review *Unit 4 Test 5.1 Legs, vertex, angle, base, base angles, isosceles and equilateral triangles, equidistant, locus, per-pendicular and angle bisectors

Concept Connection

Quarter 2

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activi-ties

Wk 13 5.1: Perpendicular and Angle Bi-sectors; 5.4: The Triangle Mid-segment Theorem; 5.5: Indirect Proof and Inequalities in One Triangle;

2.0~Students write geometric proofs, including proofs by contradiction. 6.0~Students know and are able to use the triangle inequal-ity theorem. 17.0~Students prove theorems by using coordinate geome-try, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles.

5.1, 5.4, 5.5 *Ready to Go On Quiz *Reteach 5.1, 5.4, 5.5 Equidistant, locus, perpendicular and angle bisectors, proof by con-tradiction

Construction of a Mid-segment of a Triangle Geo Lab – Explore Trian-

gle Inequalities Connecting Geo to Alge-

bra – Simplest Radical Form Geo Lab – Hands on Proof

of the Pythagorean Theorem Concept Connection

Wk 14 5.7: The Pythagorean Theorem; 5.8: Applying Special Right Trian-gles; 8.2: Trigonometric Ratios;

6.0~Students know and are able to use the triangle inequal-ity theorem. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. 14.0~Students prove the Pythagorean theorem. 15.0~Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. 18.0~Students know the definitions of the basic trigonomet-ric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships be-tween them. For example, tan( x ) = sin( x )/cos( x ), (sin( x )) 2 + (cos( x )) 2 = 1. 19.0~Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. 20.0~Students know and are able to use angle and side rela-tionships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles.

5.7, 5.8, 8.2 Pythagorean triple, trigonometric ratios, sine, cosine, tangent

Enrichment – 5.6: Ine-qualities in Two Triangles Enrichment – 8.1: Simi-

larity in Right Triangles

Quarter 2

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 15 8.2: Trigonometric Ratios; 8.3: Solving Right Triangles;

15.0~Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. 18.0~Students know the definitions of the basic trigonomet-ric functions defined by the angles of a right triangle. They also know and are able to use elementary relationships be-tween them. For example, tan( x ) = sin( x )/cos( x ), (sin( x )) 2 + (cos( x )) 2 = 1. 19.0~Students use trigonometric functions to solve for an unknown length of a side of a right triangle, given an angle and a length of a side. 20.0~Students know and are able to use angle and side rela-tionships in problems with special right triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles.

8.2, 8.3 *Ready to Go On Quiz *Reteach 5.7, 5.8, 8.2, 8.3 *Unit 5 Test Review *Unit 5 Test Trigonometric ratio, sine, cosine, tan-gent

Concept Connection Enrichment – 8.4:

Angles of Elevation and Depression Enrichment – 8.5:

Law of Sines and Co-sines Enrichment – 8.6:

Vectors Geo Lab – Indirect

Measurement Using Trigonometry - Cli-nometer

Wk 16 6.1: Properties and Attributes of Polygons; 6.2: Properties of Parallelograms; 6.3: Conditions for Parallelograms;

7.0~Students prove and use theorems involving the proper-ties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify fig-ures and solve problems. 17.0~Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance for-mula, and various forms of equations of lines and circles.

6.1 – 6.3 *Ready to Go On Quiz *Reteach 6.1-6.3 Side of a polygon, vertex of a polygon, diagonal, regular polygon, concave, convex, parallelogram, quadrilateral

Geo Lab – Con-struct Regular Polygons Geo Lab – Explore

Properties of Parallelo-grams Concept Connection

Quarter 2

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 17 6.4: Properties of Special Paral-lelograms; 6.5: conditions for Special Paral-lelograms; 6.5: Properties of Kites and Trape-zoids;

2.0~Students write geometric proofs, including proofs by contradiction. 7.0~Students prove and use theorems involving the proper-ties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify fig-ures and solve problems. 15.0~Students use the Pythagorean theorem to determine distance and find missing lengths of sides of right triangles. 17.0~Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance for-mula, and various forms of equations of lines and circles.

6.4 – 6.6 *Ready to Go On Quiz *Reteach 6.4-6.6 Rectangle, rhombus, square, kite, trapezoid, base of a trapezoid, leg of trapezoid, base angle of a trapezoid, isosceles trapezoid, midsegment of a trapezoid

Technology Lab – Predict Conditions for Special Parallelograms Technology Lab –

Explore Isosceles Trape-zoids Concept Connection

Wk 18

*Unit 6 Test Review *Unit 6 Test *Final Exam Review Chapters 1 – 6, 8

Wk 19

*Final Exam Review Chapters 1 – 6, 8 *Final Exam

Quarter 2

End Quarter 2—End Semester 1

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 1 7.1: Ratio and Proportion; 7.2: Ratios in Similar Polygons; 7.3: Triangle Similarity: AA, SSS, SAS

5.0~Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of con-gruent triangles. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify fig-ures and solve problems.

7.1 – 7.3 *Ready to Go On Quiz *Reteach 7.1 - 7.3 Reflexive, symmetric, transitive

Technology Lab – Explore the Golden Ratio Technology Lab –

Predict Triangle Similar-ity Relationships

Wk 2 7.4: Applying Properties of Similar Triangles; 7.5: Using Proportional Relation-ships;

7.0~Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadri-laterals, and the properties of circles. 8.0~Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and sur-face area of common geometric figures. 11.0~Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify fig-ures and solve problems. 16.0~Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line.

7.4, 7.5 Indirect measurement, scale, scale drawing, perimeter, area

Tech Lab – Investi-gate Angle Bisectors of a Triangle

Quarter 3

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 3 9.1: Developing Formulas for Triangles and Quadrilaterals;

8.0~Students know, derive, and solve problems in-volving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 10.0~Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.

*Ready to Go On Quiz *Reteach 7.4, 7.5 *Unit 7 Test Review *Unit 7 Test 9.1 Area of a parallelogram, triangle, trapezoid, rhombus, and kite

Wk 4 9.1: Developing Formulas for Triangles and Quadrilaterals; 9.3: Composite Figures; 9.4: Perimeter and Area in the Coordinate Plane;

8.0~Students know, derive, and solve problems in-volving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 10.0~Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. 12.0~Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems.

9.1, 9.3, 9.4 *Reteach 9.1 – 9.4 *Unit 9 Test Review *Unit 9 Test

Geo Lab – Develop p Enrichment – 9.2:

Developing Formulas for Circles and Regular Poly-gons Enrichment – 9.5:

Effects of Changing Di-mensions Proportionally Enrichment – 9.6:

Geometric Probability Ready to Go On Quiz Concept Connection

Quarter 3

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 5 10.1: Solid Geometry; 10.3: Formulas in 3-D; 10.4: Surface Area of Prisms and Cylinders; 10.5: Surface Area of Pyra-mids and Cones; 10.6: Volume of Prisms and Cylinders; 10.7: Volume of Pyramids and Cones;

8.0~Students know, derive, and solve problems in-volving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 9.0~Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders. 11.0~Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.

10.1/10.3 – 10.7 Face, edge, vertex, prism, cylinder, pyramid, cone, cube, net, cross sec-tion, polyhedron, space, lateral face, lateral edge, right prism, oblique prism, altitude, surface area, lateral surface, axis of a cylinder, right cyl-inder, oblique cylinder, vertex of a pyramid, regular pyramid, slant height of a regular pyramid, altitude of a pyramid, vertex of a cone, axis of a cone, right cone, oblique cone, slant height of a right cone, altitude of a come, volume

Enrichment – 10.2: Representa-tions of 3-D figures

Wk 6 10.8: Spheres;

8.0~Students know, derive, and solve problems in-volving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 9.0~Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders. 11.0~Students determine how changes in dimensions affect the perimeter, area, and volume of common geometric figures and solids.

10.8 *Ready to Go On Quiz *Reteach 10.4 – 10.8 *Unit 10 Test Review *Unit 10 Test Sphere, center of a sphere, radius of a sphere, hemisphere

Quarter 3

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 7 11.1: Lines that Intersect Circles; 11.2: Arcs and Chords; 11.4: Inscribed Angles;

7.0~Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilater-als, and the properties of circles. 8.0~Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures. 16.0~Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. 21.0~Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles.

11.1, 11.2, 11.4 *Ready to Go On Quiz *Reteach 11.1, 11.2 Interior of a circle, exterior of a circle, chord, secant, tan-gent of a circle, point of tan-gency, congruent circles, con-centric circles, tangent circles, common tangent, central an-gle, arc, minor arc, major arc, semicircle, adjacent arcs, con-gruent arcs, sector of a circle, segment of a circle, arc length

Constructions – Center of a Circle Constructions – Tan-

gent to a circle from an Ex-terior Point

Wk 8 11.4: Inscribed Angles; 11.5: Angle Relationship in Cir-cles; 11.6: Segment Relationships in Circles;

7.0~Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilater-als, and the properties of circles. 21.0~Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles.

11.4 - 11.6 *Reteach 11.4 – 11.6 *Unit 11 Test Review *Unit 11 Test Inscribed angle, intercepted arc, subtend, secant segment, external secant segment, tan-gent segment

Tech Lab – Explore Angle Relationships in Cir-cles Tech Lab – Explore

Segment Relationships in Circles Enrichment: 11.7 –

Circles in the Coordinate Plane Concept Connection

Quarter 3

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Ac-tivities

Wk 9 12.1: Reflections; 12.2: Translations; 12.3: Rotations;

22.0~Students know the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections.

12.1 – 12.3 *Reteach 12.1 – 12.3 *Unit 12 Test Review *Unit 12 Test Isometry, reflection, rotation, translation, transformation

Patty Paper – Translate a Figure Enrichment – 12.4: Com-

positions of Transformations Enrichment – 12.5: Sym-

metry Enrichment – 12.7: Dila-

tions Concept Connection

10—CST Review (Testing usually done in weeks 11/12 of Semester 2

Key Standards: (32% of CST) 4.0—Students prove basic theorems involving congru-ence and similarity 7.0—Students prove and use theorems involving the properties of parallel lines cut by a transversal, the prop-erties of quadrilaterals, and the properties of circles. 12.0—Students find and use measures of sides and of Interior and Exterior angles of triangles and polygons to classify figures and solve problems. 21.0—students prove and solve problems regarding rela-tionships among chords, secants, tangents, inscribed an-gles, and inscribed and circumscribed polygons of cir-cles.

Quarter 3

End of Quarter 3

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 11— Projected CST Week (If CST occurs in Week 12 in-stead, continue review and en-sure mastery of power stan-dards.)

*Review for CST *CST

NOTE : Throughout Quarter 4, we are preparing students for Algebra II success. In order to accomplish this, coordinate geometry should be woven through the following weekly topics.

Wk 12— Linear Functions Algebra 1—6.0—Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4). They are also able to sketch the region defined by linear inequality (e.g., they sketch the region defined by 2x + 6y < 4).

Algebra 1—Chapter 5

Wk 13—Properties of Expo-nents

Algebra 1— 2.0—Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They under-stand and use the rules of exponents.

Algebra 1—Chapter 7.3, 7.4, 7.5

Wk 14—Radical Expressions Algebra 1—2.0 Students understand and use such opera-tions as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents. Tie into “Special Right Triangles”

Algebra 1—Chapter 11.1, 11.2, 11.3, 11.4

Quarter 4

Geometry Pacing Guide

Week #/ Topic California Math Content Standard Book Chapter/ Academic Vocabulary

Labs and Enrichment Activities

Wk 15– Add/ subtract/ multiple/ divide polynomials

Algebra 10.0—Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques.

Holt Chapter 7.7, 7.8, 7.9

Wk 16—Factoring Algebra 11.0—Students apply basic factoring techniques to second-and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials

Holt Chapter 8

Wk 17— Review for Geometry Semester Final Exam

Wk 18— Review for Geometry Final Exam/ Senior Final Exams

Wk 19—Freshmen/ Sophomore/ Junior Final Exams

Key Standards for Review: Geometry 7.0—Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circles Geometry 10.0— Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids. Geometry 12.0- Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems. Geometry 16.0—Students perform basic constructions with a straightedge and compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. Geometry 21.0—Students prove and solve problems regarding relationships among chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of circles.

Quarter 4

End of Quarter 4 ~ Semester 2