Geometry Scavenger Hunt or Choice Project

For their final Portfolio Eligible Project students have the choice to complete the Geometry Scavenger Hunt or complete a choice project.

For the choice project, students should chose an area of their life or the world that relates to geometry.  For the project, they will create three labeled diagrams showing the connection between their topic and the 8th grade geometry standards (pythagorean theorem, properties of perpendicular lines, congruence and similarity, and volume of cones and cylinders).  Students will turn in the drawings and a 1-2 page reflection explaining why they choose the topic they did, how they think it connects to geometry, and the process they used to complete the project.

Circuits and Irrational Numbers

photo (12) photo (13) photo (16) photo (17)This week, as you probably already know, we are taking the CRCT.  Students in 8C have been super focused and are doing their best each day.  In the afternoons, we have been building circuits and discussing irrational numbers.  See below the image of Elise, Jacquela, and Maya’s creation, over 500 digits of Pi.  They did this on their own time during lunch and recess.  This afternoon, we are watching October Sky as we get ready to build and launch bottle rockets next week.

Energy Transfers and Student Lessons

This week we will be focusing on energy transfers through radiation, convection, conduction and waves.  As a part of that study we will discuss the electromagnetic spectrum.   To learn more, explore NASA’s resources and BBCs resources.

Interactive Simulations

 

Waves 

Light

Heat/Phases of Matter

Also, this week and next students will be teaching review lessons on the concepts in the Common Core standards for 8th Grade Math. Teams of 2-3 students will take on a concept from the last 8 months and teach a 5 minute lesson and then assist students along with Mr. Beavers and me as the class practices that skill.  We are looking forward to what students will bring to the table and know that this review will help students to remember concepts and to build fluency and confidence with skills.

Law of Conservation of Matter and Pythagorus

Today, students worked with Mr. Beavers to understand what the exponents and subscripts in chemical symbols and equations represent and how they can use the law of conservation of matter to balance equations.

Students also practiced applying the pythagorean theorem to solve for the length of the side of a right triangle.  Students were surprised to find that the square root of any number squared is that number. They also watched a vi hart video about the history of pythagorean theorem.  We used this video as a segway into a discussion of rational vs. irrational numbers.

The Khan from last week is due by Friday, but since I had several students who had already finished  all of the skills, I gave all students the final set of Khan skills for the year today.  I also gave each student a resource packet with examples and explanations of the concepts that we have not discussed yet.
Skills- These will be assessed on Friday, April 19th, 2013

Standard

Khan Exercises

Parallel lines are taken to parallel lines.

__________ Parallel lines 1

Explain a proof of the Pythagorean Theorem and its converse.

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

__________ Pythagorean theorem (note you need to simplify your answer review  Simplifying Radicals if needed)

__________ Special right triangles  (Exceeds)

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

__________ Distance formula (note you need to simplify your answer review  Simplifying Radicals if needed)

__________ Distance between point and line (Exceeds)

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

__________ Similar triangles 1

__________ Similar triangles 2

__________ Solving similar triangles 1

__________ Solving similar triangles 2 (Exceeds)

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle

__________ Angles 2

__________ Congruent triangles 1

__________ Congruent triangles 2 (Exceeds)

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., square root of 2).

__________Converting fractions to decimals

__________ Converting 1-digit repeating decimals to fractions (Exceeds)

 

 

Geometry and Compounds

Today, we reviewed the difference between an element, mixture and compound, and students modeled the difference between these three with nuts and bolts and legos.  They also observed 10 samples and determined whether each is a compound, element, or mixture.  If it was a mixture they also had to speculate as to whether the are heterogenous or homogeneous.

We are continuing to work towards a solution to our problem about the actors at the Fox.  We are using right triangle rotations to build slant line squares and are using our knowledge of exponents and square roots to find their areas.

Intro to Geometry

As an introduction to geometry, we began with the following problem.

Erik and Kim are actors at the Fox Theater.  Erik lives 5 miles from the theater and Kim lives 3 miles from the theater.  Their boss, wonders how far apart they live.

Students looked at the problem in various ways.  Some thought that the actors must live 8 or 2 miles apart.  Others determined a range, such as the actors must live between 2 and 8 miles apart.  Still others drew circles to represent the area where each actor could live.  We will continue to work on the problem through the week as we gain new knowledge and understanding.

Today, we continued our unit on geometry by exploring the area of triangles. We also reviewed triangle properties of angles and side lengths.   A good review of this information can be found here.  We used our reasoning skills to take given information and determine the are by deciding on appropriate bases and the appropriate place to measure the height or altitude of the triangle.  At this point, students should be able to take any given triangle, measure the appropriate segments, and determine its area.

Mr. Beavers continued to work with students to understand how the organization of the periodic table informs us about how elements form compounds and to understand the difference between ionic and covalent bonds.  By this point, students should be able to build any of the first 20 elements on the periodic table and explain which elements would be most likely to join to form compounds.  Students should be able to explain the octet rule and the importance of valence electrons.  Here is a flash animation that explains the two main types of bonds.  Here is another animation of bond types including hydrogen bonds.

Khan Assignments- 3/25-4/5

Please remember that Khan is reinforcement and practice.  You should work for at least 30 minutes per night on the following skills AND on anything else that you know you need to review or practice.  It may take some longer than others to feel confident with these concepts.  Make sure you are comfortable with the work.  We will have an assessment on Friday, April 5th.

Goals for the next two weeks:

- I can define and explain the difference between an irrational and rational number.

- I can find the area of a triangle.

- I can rotate figures.

- I can state and use the Pythagorean Theorem to solve problems.

 

Skills- These will be assessed on Friday, April 5th, 2013

Standard

Khan Exercises

Assessment Date

Completion Date

Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that _2 is irrational.

WATCH THIS VIDEO

Square Roots and Real Numbers

Be able to tell me the difference between a rational and irrational number.

4/5/13

Work with radicals and integer exponents.

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology

4/5/13

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

4/5/13