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|1. Objects in the plane can be |Understand congruence in terms of rigid motions. | | | |Congruence |

|transformed, and those |Use geometric descriptions of rigid motions to |We will use geometric descriptions of | | | |

|transformations can be described |transform figures and to predict the effect of a |rigid motions to transform figures and |Appl |KUTA Geometry Software | |

|and analyzed mathematically |given rigid motion on a given figure. C |to predict the effect of a given rigid | | | |

| | |motion on a given figure | | |Rigid motion |

| |Given two figures, use the definition of | | | | |

| |congruence in terms of rigid motions to decide if | | | | |

| |they are congruent. C |We will use the definition of congruence| | | |

| | |in terms of rigid motions to decide if |Appl | | |

| |Use the definition of congruence in terms of rigid|two figures are congruent. | | | |

| |motions to show that two triangles are congruent | | | | |

| |if and only if corresponding pairs of sides and |We will use the definition of congruence| | | |

| |corresponding pairs of angles are congruent. C |in terms of rigid motions to show that | | | |

| | |two triangles are congruent if and only | |KUTA Geometry Software | |

| |Explain how the criteria for triangle congruence |if corresponding pairs of sides and |Appl | | |

| |(ASA, SAS, and SSS) follow from the definition of |corresponding pairs of angles are | |Holt McDougal Geometry | |

| |congruence in terms of rigid motions. C |congruent. | |Teacher’s Edition pg 462-470 | |

| | | | | | |

| | |We will explain how the criteria for | | | |

| | |triangle congruence (ASA, SAS, and SSS) | | | |

| | |follow from the definition of congruence| | | |

| | |in terms of rigid motions | | | |

| | | | | |Corresponding parts |

| | | |Appl | |ASA |

| | | | | |SAS |

| | | | | |SSS |

|1. Objects in the plane can be |Prove geometric theorems. | | | | |

|transformed, and those |Prove theorems about lines and angles. I |We will prove theorems about lines and |Appl | | |

|transformations can be described | |angles. | |Holt McDougal Geometry | |

|and analyzed mathematically |Prove theorems about triangles. I | | |Teacher’s Edition pg 146-220 | |

| | |We will prove theorems about triangles. |Appl | | |

| |Prove theorems about parallelograms. I | | | | |

| | |We will prove theorems about | | | |

| | |parallelograms. |Appl | | |

|2. Concepts of similarity are |Define trigonometric ratios and solve problems | | | |Trigonometric ratios |

|foundational to geometry and its |involving right triangles. | | |Holt McDougal Geometry | |

|applications |Explain that by similarity, side ratios in right |We will explain that by similarity, side| |Teacher’s Edition pg 524-583 |Sine |

| |triangles are properties of the angles in the |ratios in right triangles are properties|Appl | |Cosine |

| |triangle, leading to definitions of trigonometric |of the angles in the triangle, leading | | |Tangent |

| |ratios for acute angles. C |to definitions of trigonometric ratios | |KUTA Geometric software | |

| | |for acute angles. | | | |

| |Explain and use the relationship between the sine | | | | |

| |and cosine of complementary angles. C | | | | |

| | |We will explain and use the relationship| | | |

| |Use trigonometric ratios and the Pythagorean |between the sine and cosine of |Appl | | |

| |Theorem to solve right triangles in applied |complementary angles | | | |

| |problems. C | | |Holt McDougal Geometry | |

| | |We will use trigonometric ratios and the| |Teacher’s Edition pg 43, 348-358, | |

| | |Pythagorean Theorem to solve right | |540-541 | |

| | |triangles in applied problems. |Appl | | |

| | | | | | |

| | | | | |Pythagorean theorem |

|1. Functions model situations where|f. Extend the domain of trigonometric functions | | | |Unit circle |

|one quantity determines another and|using the unit circle. |We will extend the domain of | |Holt McDougal Geometry |Radian |

|can be represented algebraically, |i. Use radian measure of an angle as the length of|trigonometric functions using the unit | |Teacher’s Edition pg 570 | |

|graphically, and using tables |the arc on the unit circle subtended by the angle.|circle. |Appl | | |

| |C | | | | |

| | | | | | |

| |ii. Explain how the unit circle in the coordinate |We will explain how the unit circle in | |KUTA Geometry Software | |

| |plane enables the extension of trigonometric |the coordinate plane enables the |Comp | | |

| |functions to all real numbers, interpreted as |extension of trigonometric functions to | | | |

| |radian measures of angles traversed |all real numbers, interpreted as radian | | | |

| |counterclockwise around the unit circle. C |measures of angles traversed | | | |

| | |counterclockwise around the unit circle.| | | |

|2. Concepts of similarity are |Prove and apply trigonometric identities. | | | | |

|foundational to geometry and its |Prove the Pythagorean identity sin2(θ) + cos2(θ) =| | | | |

|applications |1. ? |We will prove the Pythagorean identity |Evaluate | |Trigonometric identities |

| | |sin2(θ) + cos2(θ) = 1. | | | |

| |Use the Pythagorean identity to find sin(θ), | | | | |

| |cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) | | | | |

| |and the quadrant of the angle. C |We will use the Pythagorean identity to |Apply | | |

| | |find sin(θ), cos(θ), or tan(θ) given | | | |

| | |sin(θ), cos(θ), or tan(θ) and the | | | |

| | |quadrant of the angle | | | |

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