CURRICULUM MAP. Course/Subject: Honors Math I Grade: 10 Teacher: Davis. Month: September (19 instructional days)

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1 Month: September (19 instructional days) Numbers, Number Systems and Number Relationships Standard A: Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots, find logarithms). Standard E: Simplify and expand algebraic expressions using exponential forms. Standard E: Select and use a strategy to solve an equation or inequality, explain the solution and check the solution for accuracy. Evaluate algebraic expressions. M 11.A Add, subtract, multiply and divide real numbers. M 11.A Solve equations in one variable. M 11.D Solve word problems in one variable. M 11.D Solve simple inequalities. Solve conjunctions/disjunctions. M.11.D Solve inequality word problems. M 11.D Solving absolute value problems. M 11.A Prove properties of real numbers using definitions and theorems. Revised 6/26/2009

2 Month: October (22 instructional days) Standard K: Select, justify and apply an appropriate technique to graph a linear function in two variables, including slope-intercept, x- and y- intercepts, graphing by transformations and the use of a graphing calculator. Standard L: Write the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line. Standard G: Analyze and explain systems of equations, systems of inequalities and matrices. Standard S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic). Standard N: Solve linear, quadratic and exponential equations both symbolically and graphically. Graph linear equation in two variables. M 11.D Find slope of a line. M 11.D Find an equation of a line in standard form. M 11.D Solve systems of linear equations. M 11.D Solve word problems with a system of equations. M 11.D Graph linear inequalities in two variables. M 11.D Graph relations and functions. M 11.D Add and subtract polynomials. M 11.D Use laws of exponents to multiply polynomials. M 11.A Multiply polynomials. M 11.D Determine the greatest common factor and least common multiple of integers and monomials. M 11.A Factor polynomials by using greatest common factor. M 11.A Factor quadratic polynomials. M 11.D Solve polynomial equations. M 11.D Solve word problems using factoring. M 11.D.2.1.5

3 Month: November (16 instructional days) Standard S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic). Standard N: Solve linear, quadratic and exponential equations both symbolically and graphically. Numbers, Numbers System and Number Relationships Standard B: Simplify numerical expressions involving exponents, scientific notation and using order of operations. Solve polynomial inequalities. Simplify using laws of exponents. M 11.A Use scientific notation. M 11.A Simplify rational expressions. M 11.D Multiply and dived rational expressions. M 11.D Add and subtract rational expressions. M 11.D Simplify complex fractions. M 11.D Solve equations and inequalities having fractional coefficients. M 11.D.2.1.5

4 Month: December (17 instructional days) Standard F: Solve and graph equations and inequalities using scientific and graphing calculators and computer spreadsheets. Numbers, Number Systems and Number Relationships Standard A: Use operations (e.g., opposite, reciprocal, absolute value, raising to a power, finding roots, find logarithms). Computation and Estimation Standard C: Estimate the value of irrational numbers. Solve and use fractional equations. M 11.D Find roots of real numbers. M 11.A Simplify expressions involving radicals. M 11.A Add, subtract, multiply and divide with radicals. Solve equations with radicals. Find and use decimal representation of real numbers. M 11.A Use the number i to simplify square roots Add, subtract, multiply and divide complex numbers.

5 Month: January (19 instructional days) Standard N: Solve linear, quadratic and exponential equations both symbolically and graphically. Standard E: Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas.). Standard T: Analyze and categorize functions by their characteristics. Solve by completing the square. Solve by using the quadratic formula. Find the discriminant to determine nature of the roots. Solve equations in quadratic form. Graph parabolas and final vertices and axes of symmetry. Find minimum and maximum values of parabolas. Write quadratic equation about the roots or graph.

6 Month: February (18 instructional days) Standard E: Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas.). Standard S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic). Standard T: Analyze and categorize functions by their characteristics. Measurement and Estimation Standard A: Develop formulas and procedures for determining measurements (e.g., area, volume, distance). Concepts of Calculus Standard B: Interpret maximum and minimum values in problem situations. Solve involving direct variation, inverse and joint variation. M 11.A Divide polynomials. Use synthetic division to divide polynomials. Use remainder and factor theorems. Solve a polynomial equation. Find rational roots of polynomials. Approximate the real roots of a polynomial equation. Find distance and midpoint between two points. M 11.C Graph and find the equation of circles. Graph and find the equation of parabolas using focus, directrix, vertex and axis of symmetry.

7 Month: March (20 instructional days) Standard E: Use equations to represent curves (e.g., lines, circles, ellipses, parabolas, hyperbolas). Standard T: Analyze and categorize functions by their characteristics. Standard H: Select and use an appropriate strategy to solve systems of equation and inequalities using graphing calculator, symbol manipulators, spreadsheets and other software. Standard S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic). Graph and write equations of ellipses and hyperbolas. Identify conic sections. Use graphs to determine solutions of a quadratic system. Use algebraic methods to find exact solutions of quadratic systems. Solve systems of three variables. Simplify exponents with rational numbers. Simplify exponents with irrational numbers. Find the composite of two functions and find inverses of functions. Define logarithmic functions. Learn and apply the basic properties of logarithms. District Assessment - Honors Math I Performance Assessment: Conic Sections

8 Month: April (20 instructional days) Standard C: Use patterns, sequences and series to solve routine and non-routine problems. Standard S: Analyze properties and relationships of functions (e.g., linear, polynomial, rational, trigonometric, exponential, logarithmic). Concepts of Calculus Standard C: Graph and interpret rates of growth and decay. Standard D: Determine sums of finite sequences of numbers and infinite geometric series. Use common logs to solve equations involving powers. Solve growth and decay problems. Use natural log function. Find formulas for the nth term of arithmetic, geometric sequence. Identify series and use sigma notation. Find sum of finite arithmetic and geometric series.

9 Month: May (19 instructional days) Concepts of Calculus Standard D: Determine sums of finite sequences of numbers and infinite geometric series. Standard I: Use matrices to organize and manipulate data, including matrix addition, subtraction, multiplication and scalar multiplication. Standard G: Analyze and explain systems of equations, systems of inequalities and matrices. Statistics and Data Analysis Standard E: Analyze and display data in stem and leaf and box and whisker plots. Standard A: Design and conduct an experiment using random sampling. Describe the data as an example of a distribution using statistical measures of center and spread. Organize and represent the results with graphs. Standard C: Fit a line to the scatter plot of two quantities and describe any correlation of the variables. Find sum of infinite geometric series. Learn and apply matrix terminology. Add, subtract and multiply matrices. Solve problems using matrices. Find determinants of 2 by 2 and 3 by 3 matrices. Solve systems of equations using determinants. Solve systems of equations using inverses of matrices. Compute measures of central tendency. M 11.E Display data using histograms, stem and leaf, and box and whisker. M 11.E Analyze normal distributions. M 11.E Draw a scatter plot and use regression line. M 11.E.1.1.2

10 Month: June (12 instructional days) Probability & Statistics Standard A: Compare odds and probability Standard B: Apply probability and statistics to perform an experiment involving a sample and generalize its results to the entire population. Standard E: Solve problems involving independent simple and compound events. Standard A: Determine the number of combinations and permutations for an event. Apply fundamental counting principle. M 11.E Find permutations and combinations of a set. M 11.E Find probability that an event will occur. M 11.E District Assessment - Honors Math I Performance Assessment: Hospital Surgeries Final Examination - 20% of yearly grade

Homework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.

Homework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers. Morgan County School District Re-3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one