Course Outline



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     8th Grade

    Unit 1: Exponents and Scientific Notation


    1. Introduction to Exponents

    2. Multiplying Powers

    3. Dividing Powers

    4. Zero and negative e

    5. Introduction to Exponents

    6. Multiplying Powers

    7. Dividing Powers

    8. Zero and negative exponents

    9. Comparing Exponential expressions

    10. Scientific Notation – converting

    11. Scientific Notation – ordering and evaluating
    12. Scientific Notation -  operations

     

     

    Unit 2: Transformations 1: Congruence


    1. Translation

    2. Line reflections

    3. Rotations (90°, 180°, 270°,360°)

    4. Given 2 congruent figures, describe sequence or transformations.

    5. Analyze compositions of transformations


    Unit 3: Angles and Parallel Lines


    1. Straight angles, supplementary, complementary, vertical

    2. Sum of the interior angles of a triangle

    3. Angles formed by parallel lines cut by a transversal (protractor)

    4. Solve for x and find angle measurements with algebraic expressions

    5. Sums of interior and exterior angles of polygons

     

    Unit 4: Transformations 2: Proportional Relationships and Similar Triangles


    1. Definition of Similarity

    2. Properties of Dilations

    3. Calculate unite rate

    4. Solving proportions

    5. Graph proportional relationships

    6. Compare proportional relationships

        • Graphs/Equations

        • Multiple ways

    7. Similar Triangles


    Unit 5: Linear Expressions & Solving Linear Equations


    1. Translating Expressions and  expressions

    2. Identifying linear expressions and equations

    3. Solve Simple equations, checking solutions

    4. Solve multistep equations

      • Distributive property

      • Variables on both side

    5. Solve multi-step with rational coefficients (fractions)

    6. Solutions: One, Infinite or No

        


    Unit 6: Functions


    1. Identifying, domain range

    2. Analyzing and Comparing

    3. Rates of change/Slope

    4. Writing Function Rules

    5. Identifying linear and non-linear

     

     

    Unit 7: Linear Functions


    1. Modeling Linear Relationships (Writing Equation)

    2. Graphing a line

    3. Slope intercept

    4. Function Stories

    5. Increasing/Decreasing functions

     

    Unit 8: Systems of Linear Equations


    1. Rewrite equations in slope-intercept form

    2. Solve Graphically. Solutions can be one, infinite or no.

    3. Solve algebraically using elimination and substitution

    4. Determine if a point is a solution


      

    Unit 9: Functions in Geometry-Perimeter, Area, Volume


    1. Perimeter, Area

    2. Shaded Area

    3. Know and apply the volume formulas for:

      • Rectangular prism

      • Cylinder

      • Cone

      • Sphere

    4. Use formulas to solve real world problems

    5. Cube roots

     

     

    Unit 10: Statistics


    1. Scatter plots

    2. Line of best fit

    3. Relate graphs to story

    4. Display bivariate data:

      • Frequency table

      • Two-way table  


    Unit 11: The Number System & Radicals


    1. The Real Number system

    2. Finite and Infinite decimals

    3. Distinguishing between rational and irrational

    4. Converting fractions to terminating and repeating decimals

    5. Converting decimals to fractions (including repeating)

    6. Square roots (perfect 1-15)

    7. Solve square root problems

    8. Cube roots (1-5)

    9. Solve cube root problems

    10. Estimate square roots

     

     

    Unit 12: Pythagorean Theorem


    1. Prove Pythagorean Theorem

    2. Find side (legs and hypotenuse)

    3. Converse of Pythagorean Theorem

    4. Use Pythagorean Theorem on Coordinate Plane.