Linear and non-linear relationships - 6 weeks (Algebra Menu Problems)

á      Geometric increasing patterns: representing linear relationships

á      Graphs, tables and equations of linear relationships

á      Coordinate plane

á      Integer operations

Pythagorean Theorem – 3 weeks (Looking for Pythagoras)

á      Areas on a geoboard

á      Pythagorean Theorem

á      Distance between 2 points

á      Drawing a line of a certain distance (i.e. )

Irrational and Rational Numbers – 3 weeks (Looking for Pythagoras)

á      Fractions and decimals

á      Terminating and repeating decimals

á      Radical notation

á      Simplifying Radicals

á      Number Sets

á      Ordering Real numbers

Combinatorics – 3 weeks (Clever Counting)

á      Tree diagrams

á      Computing the number of possibilities for situations that repeat, do not repeat, where order matters, and/or where order does not matter.

á      Factorials

Equations and Expressions – 7 weeks (ACS chapts 1,3)

á      Order of operations and evaluating expressions

á      Translating phrases and sentences into mathematical expressions and equations

á      Mathematical properties

á      Simplifying expressions and combining like terms

á      Solving multi-step linear equations

á      Inequalities

á      Word problems

Linear Functions – 5 weeks (ACS chapts 4 and 5)

á      Points as solutions

á      Horizontal and vertical lines

á      x and y intercepts

á      Slope-intercept form

á      Graphing linear functions in slope-intercept form

á      Writing equations from a graph

á      Writing a linear equation given 2 points

Exponential Functions and Exponents – 4 weeks (Growing, Growing, Growing)

á      Exponent rules

á      Scientific notation

á      Exponential Relationships – growth and decay – graphs, tables, and equations

Quadratic Relationships- 5 weeks (Frogs, Fleas, and Painted Cubes)

á      Parabolas: graphing from tables and equations, vocabulary

á      More distributive property

á      Multiplying binomials

á      Factoring