HS Algebra I Projected/Diary Map Month Sample GENERIC LAYOUT—MAY HAVE SLIGHLTY DIFFERENT VISUAL APPEARANCE DEPENDING ON MAPPING SYSTEM USED Mon Content Nov POWER AND EXPONENTS A. Multiplication/Division: Properties of Exponents, Negative Exponents, Zero Exponents, Scientific Notation EXPONENTIAL GROWTH AND DECAY B. Graphs: Exponential Growth and Decay C. Formulas: Compound Interest Skills Assessment Standards A1. Multiply like variables by adding their exponents and dividing like variables by subtracting their exponents A2. Change in writing negative exponents to positive A3. Translate in writing into own words: anything to zero power equals 1 A4. Represent in writing very large or very small numbers in scientific notation A5. Multiply and divide numbers in scientific notation without using calculator A1-C2. 20 Item Test A1-A2. FOR Problem Exercises (Evaluation: Teacher Ob/Student Self-Critique) A3. FOR Note Card Check (Evaluation: Teacher Ob/Student Feedback) A4-A5. FOR Problem Exercises (Evaluation: Teacher Ob/Student Self-Critique) A. NO4.1.A.1 (I) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) PS4.5.B.3 (D) PS4.5.B.4 (D) B1. Explain in writing difference between linear growth and exponential growth/difference between linear decay and exponential decay B2. Graph basic exponential equations B1-C2. FOR Problem Exercises (Evaluation: Teacher Ob/Student Self-Critique) B. A4.3.C.1 (I) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) PS4.5.B.3 (D) PS4.5.B.4 (D) C1. Apply in writing compound interest formula (CIF) to given problems that model CIF as an exponential function C2. Compare in writing compound interest to simple interest SQUARE ROOTS D. Numbers: Perfect Square D1. Translate in writing into own words: what a square root is and that it undoes squaring of a number / square root of a number that is not a perfect square will fall in between square roots of 2 successive perfect squares C. A4.3.C.1 (I) PS4.5.A.5 (D) D2-H2. 20 Item Test D1. FOR Note Cards Check (Evaluation: Teacher Ob/Student Feedback) D. A.4.3.A.1 (D) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) Mon Content Skills Assessment D2. Estimate in writing square root of a number that is not a perfect square THEOREMS II E. Pythagorean Theorem EQUATIONS III F. Quadratic Equations: Graphing, Roots, Quadratic Formula, Discriminant POLYNOMIALS I G. Polynomials: 3 Types, Degrees E1. Translate in writing into own words: Pythagorean Theorem E2. Determine in writing third side of right triangle given 2 sides/given 3 sides of a triangle; determine in writing whether it is a right triangle or not E3 Apply in writing Pythagorean Theorem to solve word problems Standards PS4.5.B.3 (D) PS4.5.B.4 (D) E1. FOR Note Card Check (Evaluation: Teacher Ob/Student Feedback) E2-E3. FOR Problem Exercises (Evaluation: Teacher Ob/Student Self-Critique) E. G4.2.A.1 (D) G4.2.E.1 (D) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) PS4.5.B.3 (D) PS4.5.B.4 (D) F1. Recognize in writing shape of a quadratic F1-F6. FOR Problem equation and apply shape to real world connections Exercises (Evaluation: F2. Find roots of a quadratic equation using Teacher Ob/Student Quadratic Formula Self-Critique) F3. Determine in writing whether roots exist for a particular quadratic equation using discriminant F4. Compare in writing graph and equation of a linear equation, an absolute value equation, an exponential equation, and a quadratic equation F5. Recognize in writing difference between graph and equation of a linear equation, an absolute value equation, an exponential equation, and a quadratic equation F6. Determine in writing how a graph of a Linear, Absolute Value, and Quadratic equation transforms (shifts) in respect to origin by examining equation F. A4.3.C.1 (D) A4.3.C.2 (D) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) PS4.5.B.3 (D) PS4.5.B.4 (D) G1. Determine in writing 3 types: monomial, binomial, trinomial and degree of polynomial G2. Multiply 2 binomials using FOIL (First, Outside, Inside, Last) or distribution method G3. Multiply 1 binomial by 1 trinomial G4. Multiply 2 binomials and 1 Binomial by 1 trinomial G. A4.3.D.1 (I) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) PS4.5.B.3 (D) PS4.5.B.4 (D) G1-H2. FOR Problem Exercises (Evaluation: Teacher Ob/Student Self-Critique) 2 Mon Content H. Polynomials: Factoring Skills H1. Factor common monomial from given polynomial H2. Translate in writing in own words: factoring a common monomial is inverse of distributing a single term over a polynomial and that it can be used as a check Assessment Standards H. A4.3.D.1 (I) PS4.5.A.5 (D) PS4.5.B.1 (D) PS4.5.B.2 (D) PS4.5.B.3 (D) PS4.5.B.4 (D) 3