Math Department

Students will solve real world situations using distance and midpoint formula Identifying points, segments, lines, planes and angles.

Inductive reasoning, paragraph proofs, two-column algebraic and geometric proofs.

Students will solve and prove real world situations using relationships with parallel lines, angles and triangles in geometry, classifying triangles, congruence of triangles.

Students will solve real world situations using medians, bisectors and altitudes, inequalities and indirect proofs.

Students will solve and prove real world situations using polygons, parallelograms, rectangle, rhombus, square, trapezoid.

Students will solve real world situations using ratios and proportions, similar polygons, and proportional parts including geometric mean.

Students will solve real world situations using Pythagorean theorem, special Right Triangles, Trigonometry and the Law of sines and Law of cosines.

Students will solve real world situations using properties of arcs, chords, and angles of a circle and secants and tangents with circles. Students will write and graph equations of circles.

Students will find perimeter and area of plane figures including composite figures, complete dimensional analysis, and find geometric probability.

Students will solve real world situations using surface area and volume formulas for composite solids, congruent solids and similar solids.

Students will review concepts of solving equations, solving quadratic equations by factoring, simplifying radicals and the pythagorean theorem to ensure success in geometry.

Students will solve real world situations using Area and Perimeter of plane figures including composite figures.

Students will solve real world situations using surface area and volume of 3-dimensional figures including composite solids.

Students will solve real world situations using distance and midpoint formula Identifying points, segments, lines, planes and angles.

Students will solve real world situations using inductive reasoning, parallel lines, and angle relationships.

Students will solve real world situations using relationships with angles and triangles, classifying triangles, and congruence of triangles.

Students will solve real world situations using medians, bisectors and altitudes, and inequalities.

Students will solve real world situations using polygons, quadrilaterals, and their properties.

Students will solve real world situations using ratios, proportions, similar figures, and proportional parts.

Students will solve real world situations using radicals, right triangles, and trigonometry.

Students will solve real world situations using properties of arcs, chords, secants, tangents, and angles of a circle.

Students will solve real world situations using absolute value, evaluating expressions, and properties of real numbers.

Students will solve real world situations using Linear Functions and their graphs.

Students will solve real world situations using linear systems.

Students will be able to simplify expressions using the properties of exponents and operations on functions.

Students will solve real world situations using solving quadratic functions and graphical analysis of quadratics, focusing on real solutions found through graphing and factoring.

Students will solve real world situations using solving quadratic functions and graphical analysis of quadratics, focusing on real and nonreal solutions found through the quadratic formula and completing the square.

Students will solve real world situations using properties of exponents, perform operations on polynomials, describe end behaviors, analyze polynomial graphs and find zeros of polynomial functions.

Students will solve real world situations using radical equations and radical inequalities.

Students will solve real world situations using exponential properties and logarithmic properties.

Students will solve real world situations using rational expressions and rational equations.

Students will solve real world situations using absolute values, evaluating expressions, and inequalities.

Students will solve real world situations using linear functions, their graphs, and special functions.

Students will solve real world situations using linear systems.

Students will solve real world situations using all factoring methods.

Students will solve real world situations using solving quadratic.

Students will solve real world situations by graphing quadratic functions and graphical analysis of quadratics.

Students will solve real world situations using properties of exponents, perform operations of polynomials, describe end behaviors, analyze polynomial graphs and use rational zero theorem.

Students will solve real world situations using radical equations and radical inequalities.

Students will solve real world situations using rational expressions and rational equations.

Students will solve real world situations using functions, graph of functions and transforming graphs of functions.

Students will solve real world situations using polynomial functions, complex numbers, finding zeros of polynomial functions and rational functions.

Students will solve real world situations using exponential functions, logarithmic functions, properties of logarithms, and solving exponential equations.

Students will solve real world situations using explain the difference between geometric and arithmetic sequences, describe mathematical induction, and compare and contrast permutations and combinations.

Students will solve real world situations using matrix operations and matrices to solve systems.

Students will solve real world situations using trig functions, unit circle and trig identities.

Students will graph trigonometric functions.

Students will verify trig identities and apply trig formulas.

Students will solve Trigonometric Equations.

Students will solve real world situations using the law of sines, law of cosines, vectors and polar coordinates.

Students will solve real world situations using linear systems, nonlinear systems, partial fraction and linear programming.

Using a quadratic equation to describe conic sections. Geometrically describing conic sections by slicing a double cone with a plane.

Students will solve real world situations using linear functions.

Students will solve real world situations using systems of equations.

Students will solve real world situations using matrix operations and properties.

Students will solve real world situations using families of graphs.

Students will solve real world situations using families of graphs and variation.

Students will solve real world situations using polynomial functions.

Students will solve real world situations using rational functions radical functions.

Students will solve real world situations using trigonometric functions.

Students will solve real world situations using trigonometric functions.

Students will solve real world situations using radians and degree measures, linear and angular velocity, graphs of trigonometric functions and their inverses, and trigonometric functions to model given situations.

Students will solve real world situations using basic trigonometric identities, verifying trigonometric identities, normal form of a linear equation and distance from a point to a line.

Students will solve situations using basic trigonometric identities, verifying trigonometric identities, normal form of a linear equation, and distance from a point to a line.

Students will solve real world situations using geometric and algebraic vectors, vectors in 3-D space and perpendicular vectors.

Students will solve real world situations using polar coordinates, complex numbers and polar graphs.

Students will solve real world situations using analytic geometry and graphs and systems of conic sections.

Students will solve real world situations using exponents, exponential growth and decay, logarithms, and common and natural logarithms.

Students will solve real world situations using sequences and series, sigma notations, Pascal’s triangle and binomial expansion, iteration, and mathematical induction.

Students will solve real world situations using combinatorics and probability.

Students will solve real world situations using statistics and data analysis.

Students will solve real world situations using limits, derivatives and antiderivatives and the Fundamental Theorem of Calculus.

Students will be able to simplify expressions using operations on functions, find inverse of functions, and systems of equations.

Students will be able to use exponent properties, graph exponential growth and decay, use logarithm properties, and use common and natural logarithms to solve equations.

Students will be able to multiply and divide rational expressions, add and subtract rational expressions, and decompose partial fractions.

Students will be able to solve rational equation, graph rational equations, and model and apply the graphs of rational equations.

Students will be able to graph and write equations for circle, ellipses, hyperbolas, and parabolas, find the intersections of conics, and graph parametric equations.

Students will be able to convert radians and degrees, derive and use the unit circle, solve right triangles, and calculate trig functions.

Students will be able to graph trig functions and their inverses.

Students will be able to use trig identities to simplify expressions and verify trig identities.

Students will be able to use the product-to-sum and sum-to-product formulas and solve trig equations.

Students will be able to convert between polar and rectangular coordinates, graph polar equations, simplify complex number in rectangular and polar form.

Students will be able to write expressions in equivalent forms to solve problems, understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs and apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems.

Students will be able to graph and write equations for circle, ellipses, hyperbolas, and parabolas, find the intersections of conics, and graph parametric equations.

Students will be able to graph and analyze functions, and use their properties to make connections between the different representations and interpret the effects transformations have on functions, and find the inverses of functions.

Students will be able to solve rational equation, graph rational equations, and model and apply the graphs of rational equations.

Students will be able to use exponent properties, graph exponential growth and decay, use logarithm properties, and use common and natural logarithms to solve equations.

Students will solve real-world situations using sequences and series, Sigma Notation, Pascal’s Triangle and Binomial Expansion, Iteration, and Mathematical Induction.

Students will be able apply trigonometric ratios to solve problems involving right triangles.

Students will be able to solve real world situations using radians and degree measures, make linear and angular velocity, graph trigonometric functions and their inverses, and use trigonometric functions to model given situations.

Students will be able to solve basic Trigonometric Identities, verifying Trigonometric Identities, so the normal form of a linear equation, and find the distance from a point to a line.

Students will be able to solve real-world situations using geometric and algebraic vectors, vectors in 3-D space, and perpendicular vectors.

Students will solve real-world situations using Polar Coordinates, Complex Numbers, and Polar Graphs.

Students will solve real-world situations using Limits, Derivatives and Antiderivatives, and Fundamental Theorem of Calculus.

Using trigonometric functions to solve problems using indirect measurement. How trigonometry is used in careers such as construction, surveying, architecture, traffic control.

Students will solve real world situations using limits and continuity.

Students will solve real world situations using differentiation properties, implicit differentiations and related rates.

Students will solve real world situations using curve sketching, optimization and differentials.

Students will solve real world situations using integration, Reimann sums, and the Fundamental Theorem of Calculus.

Students will solve real world situations using derivatives/antiderivatives of transcendental functions and differential equations.

Students will solve real world situations using area between curves, volume and arc length.

Students will solve real world situations using L’Hopital’s Rule, slope fields, and Newton’s method.

Students will learn additional integration techniques necessary for more complex scenarios.

Using trigonometric functions to solve problems using indirect measurement. How trigonometry is used in careers such as construction, surveying, architecture, traffic control.

Students will solve real world situations using limits and continuity.

Students will solve real world situations using differentiation properties, implicit differentiations and related rates.

Students will solve real world situations using curve sketching, optimization and differentials.

Students will solve real world situations using integration, Reimann sums, and the Fundamental Theorem of Calculus.

Students will solve real world situations using derivatives/antiderivatives of transcendental functions and differential equations.

Students will solve real world situations using area between curves, volume and arc length.

Students will solve real world situations using slope fields, Newton’s method and work.

Students will solve real world situations using curve sketching, optimization, related rates, hyperbolic functions and Euler’s method.

Students will solve real world situations using the area between curves, volume, work, fluid force, arc length, probability, and center of mass.

Students will solve real world situations using integration by parts, partial functions, trig substitution, L’Hopital’s rule, and improper integral.

Students will solve real world situations using sequences, series, convergence/divergence, power series, Taylor/Maclaurin Series.

Students will solve real world situations using parametric equations, arc length and vectors.

Students will solve real world situations using polar coordinates and conic sections.

Students will solve separable, linear, and 2nd order differential equations and explore applications of these differentials.

Students will solve real world situations using calculus concepts.

Students will solve real world situations using three dimensional space & vectors.

What is statistics? Random samples and introduction to experimental design.

Bar graphs, circle graphs, pareto charts, and time-series graphs, frequency distributions, histograms, and ogives and stem-and-leaf displays.

Measures of central tendency; measures of variation; grouped data; percentiles and box-and whisker plots.

Basic probability concepts, compound probabilities, trees and counting techniques.

Random variables and probability distributions; Binomial probability distributions; Geometric probability distributions; Poisson probability distributions.

Graph normal curves; Apply the empirical rule; Convert raw data to z scores; Compute probabilities of standardized events; Use the inverse normal to solve guarantee problems; Normal Approximation to the Binomial Distribution.

Explain the Central Limit Theorem; If the x distribution is normal, then the X distribution is normal for any sample size; If the x distribution is not normal, then the sample size needs to be greater than or equal to 30.

Confidence level, error of estimate, and critical value, Degrees of freedom and Student’s t, Maximal margin of error given level of confidence, Interpret poll results and Sample size.

Students will decide whether to reject or fail to reject a claim by using hypothesis testing. Students will determine whether the data fits a mean or a proportion, and then utilize appropriate testing methods.

Perform a t-test for the difference between two population means using small independent samples Perform a two sample z-test for the difference between two means using large independent samples Perform a two prop z-test for the difference between two proportions.

The level of correlation between two pairs of ordered data can be evaluated; Correlation does not signify causation; High levels of linear correlation can be used to predict values for non-sampled situations using linear regression techniques.

Students will decide whether to reject or fail to reject a claim by using hypothesis testing. Students will determine whether the data fits a mean or a proportion, and then utilize appropriate testing methods.

Distinguish between population parameters and a sample statistics Construct a frequency distribution, bar chart, and dot plot.

Understand biases in data, key components of collecting a sample & components of an observational study and an experiment.

Construct & interpret pie charts, bar graphs, stem and leaf, histograms, relative frequency graphs, scatter plots, and a time series.

Measures of Central Tendency & Variation; Empirical Rule, Chebyshev and Z-Scores.

How do you describe the relationship between two numerical variables in terms of form, strength, and direction?

Basic Probability Concepts; Compound Probabilities; Trees and Counting Techniques.

Random variables and probability distributions; Binomial probability distributions Geometric probability distributions; Poisson probability distributions.

Central Limit Theorem, X and Normality.

Confidence level, error of estimate, and critical value; Degrees of freedom and Student’s t Maximal margin of error given level of confidence; Interpret poll results; Sample size.

Test Procedures; Type I and Type II Errors; Hypothesis test for Proportion; Hypothesis for Mean.

Tests involving proportions, paired differences & of two means or two proportions.

Χ² tests for Independence, goodness-of-fit test.

Scatter Diagrams; Linear Regression, and confidence intervals, bounds, correlation coefficient; Inferences concerning regression.

Fitting a Model; Assessing Fit.

Analysis of Variance; F Test

Simplify and/or solve problems containing exponents, radicals, and complex numbers.

Apply quadratic equations to solve real world situations.

Solve and simplify rational equations and or expressions.

Exploring sequences and series.

Solve real world situations using basic matrix operations and apply matrices to solve systems.

Modeling and interpreting real world situations using graphs of systems of equations.

Solve, simplify, graph, and apply exponential and logarithmic functions.

Interpret the effects transformations have on functions and find the inverse of functions.

Solve right and non-right triangles using trigonometry and the Unit Circle.

Determine the number of outcomes for a situation. Determine probability.

Students will understand vectors, how operations are applied and the geometry in different dimensions.

Students will determine the best method to find solutions and the form the solution makes.

Students will understand the relationship between matrices, vectors and algebra; applications of operations to matrices; and subspace.

Students will understand how Eigenvalues and Eigenvectors are used.

Students will understand how the Gram-Schmidt Process finds an Orthonormal Basis

Calculate straight-time, hourly, and weekly pay. Compute total pay for piecework employment. Determine the salary per pay period. Calculate straight and graduated commission.

Determine net income (take home pay). Amount withheld from local, state and federal taxes. Calculate exemptions and deductions per pay period.

Track finances and build a budget. Save money for future purchases. Calculate average monthly spending. Determine living, fixed, and annual expenses.

Keeping accurate records of a checking account. Deposits and withdrawals. How to write a check and balance a checkbook. Interpret and reconcile a bank statement.

Calculate balances of savings accounts. Complete deposit and withdrawal slips. Balance account statements. Find savings account interest using simple and compound interest tables and formulas.

Calculate a final sales price. Determine the final selling price. Apply discounts, markdowns, coupons, and rebates. Decide if purchases are financially responsible.

Complete federal, state, and local income tax filings every year.

The pros and cons of owning a credit card. Determine what things affect your credit score. How past purchases affect your future account balance.

APR, Single payment loan, Installment Loan, Simple Interest installment loans. Payment to principle vs payment to interest.

Describe and defend the costs of vehicle ownership. Modify their plans of vehicle ownership to match their personal financial needs and requirements. Owning vs Leasing a new or used vehicle.

Knowing how to determine the cost of purchasing and maintaining a home. Mortgage payments, monthly payments, and interest owed. Closing costs, homeowners insurance, and real estate taxes.

Students will be able to compare and contrast the types of health insurance. And plan for the types of health and life insurance coverage and medical coverage their future needs may require.

Knowing the pros and cons of various types of investments. Certificate of deposits, stocks, dividends, bonds, interest rates. Calculate effective annual yield.