Algebra is defined as a branch of mathematics that uses numbers and letters that represent numbers (Merriam-Webster). While we will be learning algebraic concepts, we will also learn what it means to be a math student and student, in general.
Topics to be addressed this year...
Thinking With Mathematical Models: Linear and Inverse VariationsLinear models and equations, inverse variation models and equations, variability of numerical and categorical data
Looking for Pythagoras: The Pythagorean TheoremPythagorean Theorem and converse, square roots, cube roots, irrational and real numbers, equation of circle.
Growing, Growing, Growing: Exponential FunctionsRepresenting exponential growth with tables, graphs, equations; rules for exponents, scientific notation; Exponential Decay; growth/decay factors and rates.
Frogs and Fleas and Painted Cubes: Quadratic FunctionsRepresenting quadratic functions, factoring quadratic expressions, patterns of change, effect of parameters.
Say it with Symbols: Making Sense of SymbolsEquivalent expressions, solving linear and quadratic equations; identify and represent linear, exponential and quadratic functions.
Butterflies, Pinwheels and Wallpaper: Symmetry and TransformationsSymmetry, transformations, congruence, similarity, coordinate proofs.
It's in the System: Systems of Linear Equations and InequalitiesSolving linear systems graphically and algebraically, systems of functions and inequalities, solving systems of linear inequalities.
Function Junction: Families of FunctionsFunction notation, inverses, arithmetic/ geometric sequences, transformations on functions; completing the square, quadratic formula, polynomial expressions/ functions /equations.
Common Core Mathematical Practice Standards Take a few moments to view a video that demonstrates how incorporating the mathematical practice standards affects math class.