• Geometry (1st Period)

    The 8th-grade math Geometry program emphasizes abstract mathematical concepts and their applications. Students begin this course by mastering basic concepts such as points, lines, angles, and planes. Then they progress to explore the relationships among these concepts, such as parallel vs. perpendicular lines, congruence, similarity, and inequalities. Throughout the course, students learn to apply various postulates, theorems, and definitions to form proofs. The curriculum familiarizes students with all the geometric techniques necessary for higher-level mathematics. Successful completion of Geometry will allow students to begin high school with Algebra 2.



Geometry Updates

  • Unit 6: Triangles and Quadrilaterals

    Posted by Alexa Schmidt on 2/4/2019

    Currently in Geometry, we are finishing up our study of triangles with the Triangle Inequality Theorem and the Hinge Theorem. We then move on to quadrilaterals. One of the highlights of this unit is having the students discover for themselves the Interior and Exterior Angles Theorems by measuring different polygons and finding patterns in their data. 

    To extend at home, ask your child to explain the properties of parallelograms and how that relates to the tests for parallelograms.

    Comments (-1)
  • Unit 5: Relationships in Triangles

    Posted by Alexa Schmidt on 12/20/2018

    In this unit, we continue our exploration of triangles, this time looking for patterns in one and two triangles. We start with two sections about the four centers of triangles, then continue to the relationships between the sides and angles of a triangle, and end with a new method of proof: indirect proof.

     

    To extend at home, ask your child to create a proof by contradiction to explain why a triangle can only have one right angle.

    Comments (-1)
  • Unit 4: Triangle Congruence

    Posted by Alexa Schmidt on 11/26/2018

    Currently in Geometry, students are learning the different ways to prove polygons (specifically triangles) congruent. Intuitively, we know that congruent polygons must be the same size and shape, but is there a more efficient way to prove that two triangles are the same without measuring every side and angle of each triangle? The eighth grade students will soon find out.

     

    To extend at home, ask your child why the "shortcut" theorems are sufficient for proving that triangles are congruent.

    Comments (-1)
  • Unit 3: Parallel and Perpendicular Lines

    Posted by Alexa Schmidt on 10/22/2018

    This unit in Geometry, we are studying the relationship between parallel and perpendicular lines and the angles that are formed between them. We will start the unit off with a vocabulary to describe the different kinds of angles we will be studying. Once everyone has a foundational vocabulary, the students themselves will discover the relationships between the angles by completing a guided discovery lab in class. We then shift our focus to applications and proofs of these newly-learned relationships.

     

    To extend at home, ask your child to give you examples of the following types of angles using the painted lines of a parking lot:

    • vertical
    • alternate interior and exterior
    • consecutive interior and exterior
    • corresponding
    Comments (-1)
  • Unit 2: Reasoning and Proofs

    Posted by Alexa Schmidt on 10/1/2018

    In Geometry, students are learning one of the most important parts of Geometry: how to create a proof. We started with conditional statements and postulates, then move into paragraph proofs, algebraic proofs, and finally geometric proofs. We work together as a class, in pairs, and finally individually as students build up their skills and confidence with proof writing.

    To extend at home, discuss the importance of being able to create a sound and logical argument supported by evidence. What value does this skill have in our society today?

     

    Students practice "drag and drop" proofs

    The students in the above image have worked together to create two-column proofs. We worked on these "drag and drop" proofs before creating our own proofs from scratch.

    Comments (-1)
  • Unit 1: Tools of Geometry

    Posted by Alexa Schmidt on 9/26/2018

    Currently, in school, the students are learning the fundamental tools of Geometry: points, lines, planes, and angles. We are discussing how to define (if possible) these terms, how to measure them, and how they relate to each other.

     

    To extend at home, ask your child where to find each of these examples in a room of your home: 

    • Collinear points
    • Noncoplanar lines
    • The intersection of two planes
    • Supplementary angles
    Comments (-1)

File Library