Units+1-3

__ Secondary Course 2 (Units 1-3) __ ||  || 5.3 7.1 ||   || 3.2.1c(A.SSE.3) ||   ||   || (A.SSE.1) || 6.2 ||  || (A.APR.1) || 6.3 ||  || (F.IF.7) 2.2.1b (F.IF.7) ||  ||   || i) where increasing and decreasing ii) domain and range (include real life examples and interpret appropriately) iii) maximum and minimum iv) where positive and negative v) intercepts (x and y) vi) symmetry (even or odd) || 2.1.1 (F.IF.4) 2.1.2 (F.IF.5) ||   ||   || (F.BF.3) ||  ||   || (F.BF.4) || 7.4 ||  || (F.IF.9) ||  ||   || (F.LE.3) ||  ||   || (F.IF.6) ||  ||   || (A.SSE.3) 3.1.2 (A.SSE.2) 2.2.2a (F.IF.8) 3.4.1b (A.REI.4) || 5.2 ||  || - introduce and expand on imaginary/complex numbers - solve quadratics with complex solutions || 3.4.1b (A.REI.4) 1.3.1 (N.CN.1) 1.3.2 (N.CN.2) 3.5.1 (N.CN.7) || 5.35.4 ||   || i) solve quadratics ii) transform graphs into vertex form iii) find the maximum and/or minimum || 3.4.1b (A.REI.4)  3.4.1a  (A.REI.4)  3.2.1b  (A.SSE.3)  2.2.2a  (F.IF.8) || 5.5 ||   || - include being able to write zeros as factors regardless of their type || 3.5.3  (N.CN.9)  3.5.2  (N.CN.8) || 6.7 ||   || (A.CED.1) || 5.7 ||   || (A.CED.1) || 5.8 ||   || (A.CED.2)  2.3.1a  (F.BF.1)  2.3.1b  (F.BF.1) || 3.1 ||   || - interpret complicated expressions by viewing one or more of the parts as a single entity || 3.3.3  (A.CED.4)  3.1.1b  (A.SSE.1) ||   ||   || (A.REI.7) || 10.7 ||   ||
 * __Topic__ || Days || What it is || Core |||| Now Books ||
 * **1** ||  || **Radicals and Rational Exponents** ||   || McD || Glencoe ||
 * ^  || 1 || Review simplifying radicals [[file:granitesec2/Stud roots and radical expressions.docx|Student roots and rational expressions]] [[file:granitesec2/TCHR roots and radical expressions.docx|Teacher roots and radical expressions]]
 * ^  ||^   || Review types of numbers (whole, integers, rational, irrational) ||   ||   ||   ||
 * ^  || 1 || Explore sums and products of rational and irrational numbers [[file:granitesec2/Sec2 rats and irrats using Instructional Framework.docx|Sec2 rats and irrats using Instructional Framework.docx]] || 1.2.1(N.RN.3) ||   ||   ||
 * **2** ||  || **Exponents and Exponential Functions** ||   ||   ||   ||
 * ^  || 1 || Review rules of exponents [[file:granitesec2/Stud review of exponents and the properties of exponent1.docx|Student review of exponents and properties]] [[file:granitesec2/TCHR  review of exponents and the properties of exponent1.docx|TCHR reveiw of exponents and properties of exponenets]] ||   || 6.1 ||   ||
 * ^  || 1 || Introduce rational exponents [[file:granitesec2/Stud intro to Rational Exponents.docx|Student intro to rational exponents]] [[file:granitesec2/TCHR intro to Rational Exponents.docx|TCHR intro to rational exponents]] ||   || 7.1 || 7.6 ||
 * ^  ||^   || Be able to go back and forth between radical and exponential form || 1.1.2(N.RN.2) || 7.1 ||   ||
 * ^  ||^   || Use the properties of exponents with rational exponents || 1.1.1(N.RN.1) || 7.2 ||   ||
 * ^  || 1 || Use properties of exponents to interpret and transform exponential functions and classify them as growth or decay || 2.2.2b(F.IF.8)
 * ^  || 1 || Use properties of exponents to interpret and transform exponential functions and classify them as growth or decay || 2.2.2b(F.IF.8)
 * ^  ||^   || (may want to briefly review exponential functions & graphs – BRIEFLY!) ||   || 8.18.2 ||   ||
 * **3** ||  || **Polynomial Functions** ||   ||   ||   ||
 * ^  || 1 || Define terms and coefficients of polynomial functions || 3.1.1a
 * ^  || 1 || Define terms and coefficients of polynomial functions || 3.1.1a
 * ^  ||^   || Add, subtract, and multiply polynomial functions || 1.4.1
 * **4** || @15 || **Graphing** || 2.2.1a
 * **4** || @15 || **Graphing** || 2.2.1a
 * ^  ||   || Include square root, cube root, (cubes), absolute value, piecewise, __step__, quadratics, (linear and exponential as review only) in each of the following. Then compare and contrast the functions: ||   || 2.72.85.17.5 ||   ||
 * ^  ||   || Identify (not necessarily in this order)
 * ^  ||   || Shift each of the above (maybe not __step__ or piecewise) and identify the effects of a, h, and k on each || 2.4.1
 * ^  ||   || Inverses of functions (use graphs to explore – reflect over line y = x); then expand to solving for inverse || 2.4.2a
 * ^  || 2 || Expand the graphs to include tables, verbal descriptions and use these various representations to compare two different functions || 2.2.3
 * ^  || 1 || Observe using tables and graphs that an exponential will eventually exceed any other function || 2.5.1
 * ^  || 1 || Find the average rate of change on an interval from an equation or a table – also estimate from a graph – compare average rates of change from different types of functions || 2.1.3
 * **5** || @20 || **Quadratics** ||  ||   ||   ||
 * ^  || 2 || Graph all three forms of quadratic functions (vertex form should be review from graphing unit above while intercept and standard should be new) ||   || 5.1 ||   ||
 * ^  ||   || Review GCF (briefly) ||   ||   ||   ||
 * ^  || 3 || Factor Quadratics – emphasize the intercepts vs. factors, also solve quadratics by factoring (using words such as roots, zeros, solutions) || 3.2.1a
 * ^  || 3 || Factor Quadratics – emphasize the intercepts vs. factors, also solve quadratics by factoring (using words such as roots, zeros, solutions) || 3.2.1a
 * ^  || 2 || Solve quadratics by taking square roots
 * ^  || 2 || Complete the square – use to:
 * ^  || 1 || Introduce the quadratic formula ||   || 5.6 ||   ||
 * ^  || 1 || Explain the Fundamental Theorem of Algebra and show that it is true for quadratic polynomials
 * ^  || 1 || Solve quadratic inequalities (one variable only) || 3.3.1
 * ^  || 1 || Create equations and inequalities in one variable and use them to solve problems || 3.3.1
 * ^  || 1 || Create equations in two or more variables to represent relations between quantities; graph equations on coordinate axes with labels and scales || 3.3.2
 * ^  || 1 || Rearrange formulas (with squares) to solve for a specific variable
 * ^  || 1 || Brief review of systems of equations ||   || 3.13.2 ||   ||
 * ^  ||^   || Review (?) or teach circles ||   || 10.3 ||   ||
 * ^  || 1 || Solve systems of equations with a linear and quadratic || 3.6.1