Geometry: 8-Week Pacing Guide

Welcome to your Geometry course! This guide outlines our weekly plan, detailing what we'll cover each day from Monday to Thursday. Fridays are dedicated to personalized support during office hours. Our goal is to build a strong understanding of geometric concepts, prepare you for real-world applications, and boost your math confidence.

Quick Links to Interactive Unit Notes

Click on any unit below to access its interactive notes and quiz. These web pages are designed for easy reading and interaction, and you can also print them for offline use!

Detailed Weekly Pacing Guide

This section provides a day-by-day breakdown of our Geometry course, including key concepts, activities, and essential vocabulary for each unit. Click on any week to expand its details.

Monday (Day 1): Conditional Statements & Truth Values

  • Focus: Introduction to propositions, understanding what makes a statement true or false.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Converse, Inverse, Contrapositive, & Biconditional

  • Focus: Learning how to transform conditional statements and understanding "if and only if" statements.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Symbolic Logic & Compound Statements

  • Focus: Translating statements into symbolic form (negation, conjunction, disjunction) and understanding compound statements.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Venn Diagrams & Applications

  • Focus: Using Venn diagrams to represent and interpret set relationships.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 1 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Logical reasoning, symbolic logic, Venn diagrams.

Essential Question:

How can logic be used to justify geometric reasoning?

Essential Vocabulary:

conditional, converse, inverse, contrapositive, biconditional, negation, conjunction, disjunction, Venn diagram.

Monday (Day 1): Parallel Lines & Transversals

  • Focus: Identifying parallel lines and the angles formed by a transversal.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Angle Relationships

  • Focus: Understanding alternate interior/exterior, corresponding, and same-side interior/exterior angles.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Proving Lines Parallel

  • Focus: Using angle relationships to prove that lines are parallel.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Solving Problems with Angle Relationships

  • Focus: Applying knowledge of angle relationships to solve geometric problems.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 2 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Angle pairs, transversals, proofs.

Essential Question:

What geometric relationships exist between lines and angles?

Essential Vocabulary:

transversal, alternate interior/exterior, corresponding angles, same-side interior/exterior, parallel.

Monday (Day 1): Lines & Point Symmetry

  • Focus: Introduction to different types of symmetry in geometric figures.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Reflections and Rotations

  • Focus: Understanding how figures are reflected across lines and rotated around points.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Translations and Dilations

  • Focus: Learning about sliding figures (translations) and resizing them (dilations).
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Sequences of Transformations

  • Focus: Combining multiple transformations and analyzing their effects on figures.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 3 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Symmetry, rigid motions, transformations.

Essential Question:

How do transformations affect geometric figures?

Essential Vocabulary:

symmetry, reflection, rotation, translation, dilation, preimage, image.

Monday (Day 1): Triangle Inequality & Side/Angle Relationships

  • Focus: Determining if three side lengths can form a triangle and understanding angle-side relationships.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Triangle Angle Sum & Exterior Angles

  • Focus: Applying the triangle angle sum theorem and understanding exterior angles.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Triangle Congruence (SSS, SAS, ASA)

  • Focus: Learning the postulates and theorems used to prove triangles are congruent.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Congruence Proofs (Algebra/Coordinate Methods)

  • Focus: Writing proofs to demonstrate triangle congruence using algebraic and coordinate geometry methods.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 4 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Triangle classification, congruent triangles.

Essential Question:

How can we prove triangles are congruent and use that information to solve problems?

Essential Vocabulary:

congruent, triangle inequality, interior/exterior angle, SSS, SAS, ASA, AAS, HL.

Monday (Day 1): Triangle Similarity (AA, SAS, SSS)

  • Focus: Understanding conditions for similar triangles and using similarity statements.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Coordinate/Transformational Similarity Proofs

  • Focus: Proving triangle similarity using coordinate geometry and transformations.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Right Triangle Trigonometry (sin, cos, tan)

  • Focus: Introduction to sine, cosine, and tangent ratios in right triangles.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Special Right Triangles & Pythagorean Theorem

  • Focus: Applying properties of 45-45-90 and 30-60-90 triangles, and the Pythagorean Theorem.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 5 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Similar triangles, trig ratios, applications.

Essential Question:

What is the connection between triangle similarity and trigonometry?

Essential Vocabulary:

similar triangles, AA, trigonometry, sine, cosine, tangent, Pythagorean Theorem.

Monday (Day 1): Properties of Quadrilaterals

  • Focus: Understanding the characteristics of parallelograms, rhombuses, trapezoids, and other quadrilaterals.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Interior/Exterior Angle Measures of Polygons

  • Focus: Calculating angle sums and individual angle measures in various polygons.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Arcs, Sectors, Inscribed/Central Angles

  • Focus: Exploring relationships between angles and arcs in circles.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Equations and Graphs of Circles

  • Focus: Writing and graphing equations of circles in the coordinate plane.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 6 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Properties of polygons and circles, angle and arc relationships.

Essential Question:

How can we use the properties of polygons and circles to solve geometric problems?

Essential Vocabulary:

parallelogram, rhombus, trapezoid, sector, arc, inscribed angle, central angle, circle equation.

Monday (Day 1): Surface Area and Volume of Prisms, Cylinders

  • Focus: Calculating the surface area and volume of common three-dimensional shapes.
  • Activities: Warm-up, guided notes using our interactive unit, example problems.

Tuesday (Day 2): Cones, Pyramids, and Spheres

  • Focus: Extending surface area and volume calculations to cones, pyramids, and spheres.
  • Activities: Guided notes using our interactive unit, in-class practice problems.

Wednesday (Day 3): Effects of Changing Dimensions

  • Focus: Analyzing how scaling dimensions affects surface area and volume.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems.

Thursday (Day 4): Similar 3D Figures & Ratio Relationships

  • Focus: Understanding similarity in three-dimensional figures and applying ratio relationships.
  • Activities: Guided notes using our interactive unit, practice with IXL or released SOL problems, Unit 7 Quiz.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Tutoring, extra help, make-up tests/assignments.

Key Concepts & Topics:

Modeling with 3D shapes, dimensional analysis.

Essential Question:

How do changes in dimensions affect area and volume?

Essential Vocabulary:

surface area, volume, cross-section, prism, pyramid, sphere, scaling, similarity ratio.

Monday - Thursday: Comprehensive Review

  • Focus: This week is dedicated to comprehensive review, addressing any topics that need more attention, and intensive preparation for the Geometry SOL exam.
  • Activities: Review of all units, targeted practice with released SOL test problems, Q&A sessions, potential make-up days for any missed class time due to weather or other unforeseen circumstances.

Friday: Office Hours

  • Time: 10 AM - 12 PM
  • Purpose: Final questions, last-minute tutoring, and any remaining make-up work.

Important Notes: