• Compact 8 Information & Resources

  • Unit 7: Statistics & Semester 2 Final

    Timeline: April 29 - June 7, 2019

    Homework Sheet

    Key Concepts

    • Analyze and display univariate data and bivariate data.
    • Interpret measures of shape (symmetry), center (mean, median, mode), & spread (standard deviation, range, interquartile range).
    • Compare data displayed in different formats.
    • Look at normal curves and basic interpretation of them.

     

    Assessment Dates & Reviews (Click on assessment title to access its review)

    As this is the last unit of the year and with state testing, the concepts taught in this unit will be tested only on the final exam.

    Semester 2 Final - Wednesday, May 29 and Thursday, May 30

    Semester2 Final Review Answer Key

  • Unit 6: Circles and Their Equations

    Timeline: March 21 - April 26, 2019

    Homework Sheet

    Key Concepts

    • Identify and describe relationships among inscribed angles, radii and chords & use to solve problems.
    • Graph and write equations for circles.
    • Derive the equation of a circle.
    • Prove theorems relating to circles.
    • Construct equilateral triangles, squares, & regular hexagons.

    Online Investigations

    Assessment Dates & Reviews (Click on assessment title to access its review)

  • Unit 5: Geometric Modeling in 2- and 3-Dimensions

    Timeline: February 21 - March 20, 2019

    Homework Sheet

    Key Concepts

    • Know & apply the following: area & circumference of circles; area, volume, surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms; volume of cones, cylinders, & spheres.
    • Use volume formulas for cylinders, pyramids, cones, & spheres to solve problems.
    • Use scale factors to determine length, area, and volume measures.
    • Modeling with and without constraints.

    Online Investigations

    Assessment Dates & Reviews (Click on assessment title to access its review)

  • Unit 4: Dilations, Similarity, and Trigonometry

    Timeline: December 17th, 2018 - February 22nd, 2019

    Homework Sheet

    Key Concepts

    Dilations & Similarity

    • Perform dilations.
    • Describe the effect of a dilation on a given two-dimensional figure (similar).
    • Describe the sequence of transformations that would take one given figure to another.
    • Use criteria to prove two figures similar.
    • Understand and use facts about the angle-angle criterion for similarity of triangles.
    • Prove theorems relating to similarity.

     

    Right Triangles & Trigonometry

    • Proving the Pythagorean Theorem.
    • Using Pythagorean Theorem to find unknown lengths/distances.
    • Using similarity to understand relationships with right triangles.
    • Derive trigonometric ratios for special right triangles (30-60-90 & 45-45-90).
    • Define trigonometric ratios for acute angles in right triangles.
    • Understand the relationship of trigonometric ratios between complementary angles.
    • Use the properties of special right triangles to solve problems.
    • Derive & use trigonometric ratios to solve problems, such as those involving angles of elevation/depression.
    • Introduce vectors (If time permits – not on Unit CIA).

     

    Online Investigations

     

     

    Assessment Dates & Reviews (Click on assessment title to access its review)

    Unit 4 CIA, part 1: Dilations and Similarity - Wednesday, January 23

    Right Triangles - Friday, February 1

    Got Triangles? Worksheet Answer Key

    Unit 4 CIA, part 2: Right Triangles and Similarity - Wednesday, February 20

  • Unit 3: Rigid Transformations and Congruence & Semester 1 Finals

    Timeline: October 29th - December 14th

    Homework Sheet

    Key Concepts

    • Understand the difference between rigid  and non-rigid transformations.
    • Perform rotations, reflections, & translations.
    • Describe the effect of a transformation on a given two-dimensional figure (congruent/not-congruent).
    • Describe the sequence of transformations that would take one given figure to another.
    • Use criteria to prove two figures congruent.
    • Prove theorems relating to congruence.

     

    Online Investigations

    Reflections

    Investigating Congruence Shortcuts

     

    Assessment Dates & Reviews (Click on assessment title to access its review)

    Rigid Transformations - Wednesday, November 14

    Unit 3 CIA- Wednesday, December 5

    Semester 1 Final - Thursday, December 13, and Friday, December 14

  • Unit 2: Intro. to Plane Geometry & Proofs

    Timeline: September 11th - October 26th

    Revised Homework Sheet as of October 9

    Homework Sheet

    10/9 homework sheet mistake: Should be #1-4, 6, and 7 on pg. 58.

     

     

    Internet Assignments:  Click on the following to get to assignment:

    A Brief Background of the Wonderful World of Geometry

     

    Key Concepts

    • Identify angle relationships & use to solve for unknown measurements.
    • Solve problems involving supplementary, complementary, vertical, and adjacent angles.
    • Understand and use facts about angle sum and exterior angles of triangles.
    • Construct congruent segments & angles and bisected segments & angles.
    • Use side relationships to determine whether a triangle is acute, right, or obtuse.
    • Use Pythagorean Theorem to find unknown lengths/distances.
    • Identify properties of triangles, such as the Triangle Inequality Theorem, and use to solve problems.
    • Introduce & use coordinate proofs to prove given statements.
    • Learn basic vocabulary related to logical reasoning.
    • Construct parallel & perpendicular lines and use parallel/perpendicular relationships to solve problems.
    • Understand and use facts about corresponding angles, alternate & same-side interior and exterior angles.
    • Identify more properties of triangles & quadrilaterals and use to solve for unknown measurements.
    • Write paragraph, two-column, and coordinate proofs for theorems about lines, angles, triangles, & parallelograms.

     

    Assessment Dates & Reviews (Click on assessment title to access its review)

    Angles and Segments - Wednesday, Sepember 26

    Logic and Proofs about Lines, Angles, and Triangles - Wednesday, October 17

    Unit 2 CIA - Friday, October 26th

     

     


  • Unit 1: Probability

    Timeline: August 15th - September 13th

    Homework Sheet

    Probability Homework Packet

    Key Concepts

    • Learn and use appropriate vocabulary and notation.
    • Use counting strategies, such as Fundamental Counting Principle, factorials, permutations, and combinations.
    • Find simple, compound, geometric, and conditional probabilities using multiple approaches: formulae, tree diagrams, Venn diagrams, two-way frequency tables, and listing.
    • Construct and interpret two-way frequency tables.  Justify whether there is an association between the two sets of data.
    • Determine and justify whether events are independent or dependent and mutually exclusive or not.
    • Justify whether a given method is fair or not.
    • Analyze whether or not a decision is good or not using Bayes’ Theorem.

     

    Assessment Dates

    Counting & Probability - Wednesday, August 29th

    CIA  (Part 1) - Wednesday, September 12th

       (Part 2) - Thursday, September 13th

    Review

     

    Additional Resources

    Two Way Frequency Tables (Mathbits.com)

    This is a good site for understanding two way frequency tables, relative frequency tables, and finding association when given frequency tables.

     

Compact 8 Class Notes