For "H" or "P" students, continue reviewing for upgrades for "B".

If you already have mastered the class, please use this time to reflect on concepts that are still unclear and we will be discussing them the week of June 11.

**Tutoring**Room 401 on Mondays from 4:15 - 5:15

Room 204 on Thursdays from 4:15 - 5:15

Room 303 on Mondays, Wednesdays, and Thursdays from 4:13-5:16

Other times by appointment only

## Section

#### Open allClose all

Instructions: Clicking on the section name will show / hide the section.

- 1
### EU01-Foundations of Geometry

- Toggle__ESSENTIAL UNIT 1 (E01)__(Foundations of Geometry)

__Unit Statement__**:**This unit presents the basic terms that form the foundations of geometry, their relationships and measurements. Applications with perimeter, circumference, and area are explored along with the concept of translations. Problem-solving techniques are developed throughout the unit.__Essential Outcomes__**:**(must be assessed for mastery)*Problem solving and higher order thinking components are essential for***‘A’ level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill identify and analyze points, lines, segments, rays and planes (1.1 pp 6 - 11).2.

**TSW**solve and construct length and midpoint of segment problems (1.2 pp.13 - 19).3.

**TSW**name, classify, find the measure of, and construct angles and angle bisectors (1.3 pp. 14 - 27).4.

**TSW**identify and analyze the measure of adjacent, vertical, complementary, and supplementary angles (1.4 pp. 28 - 33).5.

**TSW**apply formulas for perimeter, area and circumference (1.5 pp. 36 - 41).6.

**TSW**apply the midpoint and distance formula given points of reference (1.6 pp. 43 - 49).7.

**TSW**develop and identify reflections, rotations, and translations, and construct them in the coordinate plane (1.7 pp. 50 - 55).

- 2
### EU02-Reasoning and Proof

- ToggleConjectures and Counterexamples

Conditional Statements, Inverse, Converse, and Contrapositive

Law of Detachment and Syllogism

Biconditional statements

Properties of Equality and Algebraic Equations

Proofs

- 3
### EU03-Planar Lines

- Toggle__ESSENTIAL UNIT 3 (E03)__(Planar Lines)

__Unit Statement__**:**This unit investigates the relationships between lines and angles in a plane. Parallel and perpendicular line relationships are constructed and explored and their equations derived.__Essential Outcomes__**:**(must be assessed for mastery)*Problem solving and higher order thinking components are essential for***‘A’ level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill identify and solve parallel, perpendicular and skew line problems (3.1 pp 146 - 151).2.

**TSW**identify and solve the angles formed by two lines and a transversal (3.1 pp.146 - 151).3.

**TSW**prove and use theorems about the angles formed by parallel lines and a transversal (3.2 pp. 155 - 161).4.

**TSW**use the angles formed by a transversal to solve problems involving two parallel lines (3.3 pp. 162 - 169).5.

**TSW**prove and apply theorems about perpendicular lines (3.4 pp. 172 - 178).6.

**TSW**use slopes to identify parallel and perpendicular lines (3.5 pp. 182 - 187).7.

**TSW**graph lines and write their equations in slope intercept and point-slope form (3.6 pp. 190 - 197).8.

**TSW**classify lines as parallel, intersecting, or coinciding and find intersection points (3.6 pp. 190 - 197).

- 4
### EU04-Triangle Congruence

- Toggle - 5
### EU05-Properties and Attributes of Triangles

- Toggle__ESSENTIAL UNIT 5 (E05)__(Properties and Attributes of Triangles)

__Unit Statement__**:**This unit defines and examines special segments in triangles and the relationships they create. Concepts are developed involving inequalities in both one and two triangles. In addition, the method of indirect proof is presented.__Essential Outcomes__**:**(must be assessed for mastery)*Problem solving and higher order thinking components are essential for***‘A’ level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill apply theorems about perpendicular bisectors (5.1 pp 312 - 318).2.

**TSW**apply the properties of perpendicular bisectors and angle bisectors of a triangle (5.2 pp.319 - 325).3.

**TSW**apply the properties of medians and altitudes of a triangle (5.3 pp. 326 - 331).4.

**TSW**apply the properties of triangle midsegments (5.4 pp. 334 - 339).5.

**TSW**write indirect proofs and apply inequalities in a single triangle (5.5 pp. 344 - 351).6.

**TSW**solve problems involving inequalities in two triangles (5.6 pp. 352 - 357).7.

**TSW**apply the Pythagorean Theorem and its converse to solve problems (5.7 pp. 360 - 367).8.

**TSW**justify and apply the properties of 45-45-90 and 30-60-90 triangles (5.8 pp. 368 – 374).

- 6
### EU06-Polygons and Quadrilaterals

- Toggle__ESSENTIAL UNIT 6 (E06)__(Polygons and Quadrilaterals)

__Unit Statement__**:**This unit defines polygons, regularity in figures and gives relationships to find angle measures and side number. It also explores properties of special quadrilaterals including parallelograms, rhombi, trapezoids, rectangles and squares.__Essential Outcomes__**:**(must be assessed for mastery)*Problem solving and higher order thinking components are essential for***A level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill classify polygons and solve for interior and exterior angles (6.1 pp 394 - 400).2.

**TSW**apply the properties of parallelograms (6.2 pp.403 - 409).3.

**TSW**prove and apply properties that given quadrilaterals are parallelograms (6.3 pp. 410 - 417).4.

**TSW**apply the properties of rectangles, rhombuses and squares (6.4 pp. 420 - 427).5.

**TSW**prove and apply properties that a given quadrilateral is a rectangle, rhombus, or square (6.5 pp. 430 - 437).6.

**TSW**use the properties of kites and trapezoids to solve problems (1.6 pp. 43 - 49).

- 7
### EU07-Similarity

- Toggle__ESSENTIAL UNIT (E07)__(Similarity)

__Unit Statement__**:**This unit presents similarity in geometry including ratios and proportions. The similarity postulates and theorems are used in proofs, measurement applications and dilations.(must be assessed for mastery)__Essential Outcomes:__*Problem solving and higher order thinking components are essential for***A level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill identify similar polygons and apply their properties to solve problems (7.1 pp 466 - 471).2.

**TSW**draw and describe similarity transformations in the coordinate plane and use their properties to determine whether polygons are similar (7.2 pp.472 - 479).3.

**TSW**prove certain triangles are similar by AA, SSS, and SAS (7.3 pp. 482 - 489).4.

**TSW**use properties of similar triangles to find segment length and apply proportionality and angle bisector theorems (7.4 pp. 495 - 501).5.

**TSW**solve problems involving scale drawings (7.5 pp. 502 - 508).6.

**TSW**apply similarity properties to the coordinate plane (7.6 pp. 509 - 514).

- 8
### EU08-Trigonometry

- Toggle__ESSENTIAL UNIT 8 (E08)__(Trigonometry)

__Unit Statement__**:**In this unit the concept of similarity is extended to right triangles.__Essential Outcomes__**:**(must be assessed for mastery)*Problem solving and higher order thinking components are essential for***A level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill use geometric mean and similarity to find segment lengths and solve problems in right triangles (8.1 pp 534 - 539).2.

**TSW**use the sine, cosine, and tangent ratios to find side lengths in right triangles (8.2 pp.541 - 548).3.

**TSW**use trigonometric ratios to find angles measures in right triangles (8.3 pp. 552 - 559).4.

**TSW**solve problems involving angles of elevation and angles of depression (8.4 pp. 562 - 567).5.

**TSW**use the Law of Sines and the Law of Cosines to solve triangles (8.5 pp. 569 - 576).6.

**TSW**find the direction and magnitude of vectors and use vector addition to solve problems (8.6 pp. 577 - 585).

- 9
### EU09-Area, Perimeter, Circumference & Polyhedra

- Toggle__ESSENTIAL UNIT 9 (E09)__(Area, Perimeter, Circumference & Polyhedra)

__Unit Statement__**:**Geometric Formulas in relation to area, perimeter and circumference are developed. The properties of solids are established and applied to their surface areas and volumes, plus the ratios of similarity in areas and volumes are used to solve problems.__Essential Outcomes__**:**(these must be assessed for mastery)**‘A’ level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill apply the formulas for the perimeter and areas of triangles and special quadrilaterals (10.1 pp 677 - 685).2.

**TSW**apply the formulas for area of polygons and circles and the circumference of circles (10.2 pp.688 - 693).3.

**TSW**find the area of composite figures using the Area Addition Postulate (10.3 pp. 694 - 700).4.

**TSW**find the perimeters and areas of figures in a coordinate plane (10.4 pp. 704 - 709).5.

**TSW**solve the effects of perimeter and area when one or more dimensions of a figure are changed (10.5 pp. 710 - 715).6.

**TSW**calculate geometric probabilities and predict results in real-world situations (10.6 pp. 718 - 724).7.

**TSW**use nets and cross sections and classify three-dimensional figures according to their properties (11.1 pp. 742 - 748).8.

**TSW**apply the formulas for the volumes of prisms and cylinders9.

**TSW**apply the formulas for the volumes of pyramids and cones (11.3 pp. 757 - 764).**TSW**apply the formulas for the volume and surface area of a sphere (11.4 pp. 766 - 773).

- 10
### EU10-Circles

- Toggle__ESSENTIAL UNIT (E10)__(Circles)

__Unit Statement__**:**The properties of circles, including their tangents and secants, arcs and their angles, segments and sectors, are identified and employed to solve problems. The equation of the circle in coordinate geometry is also presented and employed.__Essential Outcomes__**:**(must be assessed for mastery)**‘A’ level mastery**. Each outcome can contain problem solving and higher order thinking components (as found in suggested text).1.

**T**he**S**tudent**W**ill identify tangents, secants, and chords and use properties of tangents to solve problems (12.1 pp 792 - 800).2.

**TSW**apply properties of arcs and chords to solve problems (12.2 pp.802 - 809).3.

**TSW**find arc lengths and areas of sectors (12.3 pp. 810 - 815).4.

**TSW**find the measures of inscribed angles and use their properties to solve problems (12.4 pp. 820 - 827).5.

**TSW**find the measures of angles formed by lines that intersect circles and use the angle measures to solve problems (12.5 pp. 830 - 837).6.

**TSW**find the lengths of segments formed by lines that intersect circles and use the lengths to solve problems (12.6 pp. 840 - 846).7.

**TSW**write equations and graph circles in the coordinate plane and use the equations to solve problems