99 Problems

SWBAT find rotation images and reflection images in regular polygons. SWBAT determine if a figure has rotation or reflection symmetry. Included are three pages of teacher led notes, one page of individual student practice and a full answer key. It is helpful in this lesson to use tracing paper to help students determine the order of rotation. Have students trace the image and place a dot at one of the vertices. Then, spin the tracing paper while keeping the note paper still beneath. Students wi

Students will be able to complete two-column proofs involving angle pair relationships including the angle addition postulate, angle bisectors, complementary and supplementary angles. Included are three pages of teacher-led notes consisting of 6 proofs as well as a full answer key. Try using the Intro to Proofs: Algebraic Proofs Booklet as an introduction to how proofs flow and a review of the properties of equality before using these notes. The booklet can be found at the following link https:

Students will be able to determine congruent parts of congruent triangles, write congruence statements for pairs of congruent triangles, and use the third angle theorem to show triangles are congruent. Students will be able to use the isosceles triangle theorem and base angles theorem to solve for variables given expressions representing the sides and angles of an isosceles triangle. Included are two pages of teacher-led notes, two pages of individual student practice, and a full answer key

The students will be able to prove that triangles are congruent by SSS, SAS, HL, ASA or AAS. Included are four pages of teacher-led notes, three pages of individual student practice, and a full answer key.

SWBAT predict and verify the sequence of transformations (a composition) that will map a figure onto another. Included are three pages of teacher led notes, two pages of individual student practice and a full answer key.

Students will be able to find trigonometric ratios Sine, Cosine, and Tangent using right triangles. SWBAT solve problems using trig ratios. Included are two pages of teacher-led notes, 1 page of individual student practice, and a full answer key.

Students will be able to use SSS, SAS and HL congruence theorems to prove that triangles are congruent. Prior knowledge of vertical angles and the reflexive property is necessary for some practice problems. Included are three pages of teacher-led notes, 1.5 pages of individual student practice, and a full answer key.

The students will be able to use ASA and AAS congruence theorems to prove that triangles are congruent. Students should already know how to apply SSS, SAS, and HL triangle congruence, vertical angles, the reflexive property, and angle bisectors as some practice problems include these rules. Included are two pages of teacher led notes, two pages of individual student practice problems and a full answer key.

Students will solve for missing angles using the Triangle Sum Theorem and the Exterior Angle Theorem. Included is a 1.5 page worksheet as well as a full answer key.

Use algebra to introduce proofs to your geometry students! Students should already know how to solve one variable equations. Using a skill they already know to introduce the concept of two column mathematical proofs will help students to understand how a proof flows. This booklet includes one page to show examples of 9 properties of equality including the addition, subtraction, multiplication, division, substitution, distributive, reflexive, symmetric and transitive properties. Following are 5

SWBAT find the slope-intercept equation of parallel and perpendicular lines, including vertical and horizontal lines. Students will graph parallel and perpendicular lines. Included are three pages of teacher-led notes, 2 pages of individual student practice, and a full answer key.

SWBAT construct dilations on the coordinate plane. SWBAT find the scale factor and center of a dilation. Included are four pages of teacher led notes, two pages of individual student practice and a full answer key

SWBAT identify relationships between two lines or two planes and be able to name angle pairs formed by two lines and a transversal. Included are three pages of teacher-led notes, one page of individual student practice, and a full answer key.

Students will be able to classify triangles based on the number of sides and angles. Students will find missing angle measures of triangles using the Triangle Sum Theorem and Isosceles Triangle Theorem. Students will find the measure of the exterior angle of a triangle using the Exterior Angle Theorem. Included are four pages of teacher-led notes, two pages of individual student practice, and a full answer key.

SWBAT determine if three side lengths for a triangle using the triangle inequality theorem. SWBAT determine the possible lengths of the third side of a triangle given two other side lengths. SWBAT order side lengths from shortest to longest given angle measures and vice-versa. SWBAT determine which side or angle is larger than another using the Hinge Theorem. Included are three pages of teacher-led notes, 1 page of individual student practice, and a full answer key.

Students will understand, recognize and apply properties of reflections.  Students will be able to write the reflection rule given two geometric figures. Included are three pages of teacher led notes, two pages of individual student practice and a full answer key.

SWBAT draw rotations and determine the coordinates for the image or preimage when a rotation rule is applied. Included are three pages of teacher led notes and three pages of individual student practice problems, as well as a full answer key.

SWBAT use properties of parallel lines and angle pairs to find angle measures. Included are four pages of teacher-led notes and a full answer key.