You are here: Home \ Useful Documents \ Curriculum Scope & Sequence (7-12) \ Curriculum Scope & Sequence - Mathematics

Text/Materials Used: Prentice Hall Mathematics *Pre-Algebra* (2004), basic calculators, computer lab programs (Integers, Geometers Sketchpad, Green Globs)

**General Goals:**

To achieve proficiency in the following content areas:

- Maintaining computational proficiency in all elementary operations (i.e. fractions, decimals, percentages, etc.)
- Increasing proficiency in integer operations and multi-step expressions, equations, order of operations with exponents
- Learning to adequately identify and use algebraic properties, implement the use of formulas, factor algebraic expressions, plot linear equations, access slope, y-intercept and other plane based procedures, measure/evaluate basic geometric shapes with variable and solve square roots and polynomials
- Further developing problem solving skills by evaluating contextually based word problems and critical thinking scenarios

These skills will be demonstrated by receiving passing scores on informal assessments for each content area.

**Goals By Term**

Term 1:

Chapter 1 – Algebraic expressions and integers

Chapter 2 – Solving one-step equations and inequalities

Term 2:

Chapter 3 – Decimals and equations

Chapter 4 – Factors, fractions, and exponents

Chapter 5 to 5.7 – Operations with fractions (comparing and ordering, fractions and decimals, adding, subtracting, multiplying, and dividing, units of measurement, solving equations with adding or subtracting fractions)

Term 3:

Chapter 5.8 to 5.9 – Operations with fractions (solving equations by multiplying fractions, powers of products and quotiens)

Chapter 6 – Ratios, proportions, and percents

Chapter 7 – Solving equations and inequalities

Term 4:

Chapter 8 – Linear functions and graphing

Chapter 9 – Spatial thinking

Chapter 10 to 10.3 – Area and volume (parallelograms, triangles, trapezoids, and circles)

Texts: Prentice Hall *Algebra I* (2011)

**General Goals:**

To achieve proficiency in the following content areas:

- Apply mathematical properties to solve expressions and real-world problems
- Apply basic mathematical operations to rational numbers
- Solve equations and real-world problems in one variable
- Use proportions to solve geometric and statistical problems
- Know how to graph ordered pairs and equations, and identify domain, range, and functions
- Calculate the slope of a line and graph linear equations
- Solve and graph solutions to lineal inequalities
- Apply addition, subtraction, and multiplication to monomials and polynomials
- Know how to factor polynomials
- Graph quadratic functions and solve them using the quadratic formula
- Apply basic mathematical operations to radical expressions and use them to solve real-world problems

These skills will be demonstrated by receiving passing scores on informal assessments for each content area.

**Goals By Term**

Term 1:

Chapter 1- Foundations for Algebra

Chapter 2-Solving Equations

Chapter 3-Solving Inequalities

Term 2:

Chapter 4-An Introduction to Functions

Chapter 5-Linear Functions

Chapter 6-Systems of Equations & Inequalities

Term 3:

Chapter 7-Exponents & Exponential Functions

Chapter 8-Polynomials & Factoring

Chapter 9-Quadratic Functions & Equations

Term 4:

Chapter 10-Radical Expressions & Equations

Chapter 11-Rational Expressions & Functions

Chapter 12-Data Analysis & Probability

Text/Materials Used: Prentice Hall *Geometry*, 2004

To achieve proficiency in the following content areas:

- Analyzing characteristics and properties of two-and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships
- Solving problems involving geometric modeling and coordinate systems
- Understanding measureable attributes of objects and apply appropriate techniques, tools, and formulas to determine measurements
- Reviewing algebraic procedures in the context of geometric problems

These skills will be demonstrated by receiving passing cores on informal assessments for each content area.

**Goals By Term**

Term 1:

Basic tools of geometry

Reasoning and proof

Parallel and perpendicular lines

Term 2:

Congruent triangles

Relationships within triangles

Quadrilaterals

Term 3:

Area

Similarity

Right triangle trigonometry

Term 4:

Surface area and volume

Circles

Transformations

Texts: *Algebra 2* (Prentice Hall)

To achieve proficiency in the following content areas:

- Solving equations and inequalities
- Representing function relationships by writing a graphing linear equations and inequalities
- Solving systems of equations in two and three variables
- Performing addition, subtraction and multiplication of matrices and use matrices to represent real-world problems and geometric figures
- Solving and graphing quadratic equations with both real and complex solutions
- Writing, graphing, and solving polynomial equations using factoring and division of polynomials
- Performing basic operations with radical expressions and use them to solve radical equations
- Solving and graphing exponential and logarithmic functions and use these functions to model real-world data
- Solving and graphing rational equations
- Using equations and make graphs of conic sections
- Using trigonometry (sine, cosine, and tangent in both degrees and radians) and how they relate to periodic functions
- Using trigonometric identities to solve trigonometric equations.

**Goals By Term**

Term 1: Students will study the tools of algebra, functions, equations, and graphs, linear systems, and matrices.

Term 2: Students will study quadratic equations and functions, polynomials and functions, and radical functions and rational exponents.

Term 3: Students will study exponential and logarithmic functions, rational functions and conic sections.

Term 4: Students will study periodic functions and trigonometry and probability statistics

Texts: *Precalculus, Graphical, Numeric, Algebraic* by Demana, Waits, Foley and Kennedy; graphing calculator (TI-82, TI-89, TI-92 (TI-89 is preferred); Computer Lab programs (Geometers Sketchpad, Green Globs, Derive)

To achieve proficiency in the following content areas:

- Solving and graphing linear and quadratic equations
- Solving and graphing polynomial equations with and without the use of technology
- Solving and graphing linear and quadratic inequalities and use the results to solve linear programming problems
- Combining functions using the basic operations along with composition and explore transformations of functions
- Solving and graphing exponential and logarithmic functions and use these functions to model real-world data
- Using equations and make graphs of conic sections
- Using trigonometry (sine, cosine, secant, cosecant, tangent, and cotangent – in degrees and radians) and their inverses
- Solving trigonometric equations and use them to solve real-world problems
- Using trigonometry (trigonometric ratios, law of sines, law of cosines) to find unknown sides and angles of triangles
- Using the trigonometric addition formulas, double angle formulas, and half-angle formulas to solve problems
- Identifying arithmetic and geometric sequences and using the ideas of limits, find the sums of infinite and finite series

These skills will be demonstrated by receiving passing cores on informal assessments for each content area.

**Goals By Term**

Term 1: Chapters 1-3: linear and quadratic functions, polynomial functions, and inequalities

Term 2: Chapters 4-6: functions, exponents and logarithms, analytical geometry

Term 3: Chapters 7-9: trigonometry, trigonometric equations and applications, triangle trigonometry, trigonometric addition formulas

Term 4: Chapters 10-12, 13.1-13.4: polar coordinates and complex numbers, vectors and determinates, sequences and series

Text/Materials Used: *Calculus* by Finney, Demana, Waits, Kennedy

To achieve proficiency in the following content areas:

- Exploring and develop an understanding of the concept of a limit
- Developing a proficiency in computational techniques of differentiation
- Applying the concept of the derivative to finding slopes of curves, change of rate problems, optimization, and function graphing
- Developing proficiency in computational techniques of integration primarily as the inverse operation to differentiation
- Applying techniques and concepts of integration to problems involving rates of change, separable differential equations, finding areas and volumes, and applications in the sciences

**Goals By Term**

Term 1:

Chapter 1: Prerequisites of calculus

Chapter 2: Limits and continuity

Term 2:

Chapter 3: Derivatives

Chapter 4: Application of derivatives

Term 3:

Chapter5: The Definite Integral

Chapter 6: Differential equations and mathematical modeling

Term 4:

Chapter 7: Applications of Definite

Chapter 8: L’Hospital’s rule, Improper Integrals, and Partial Fractions

These skills will be demonstrated by receiving passing scores on informal assessments for each content area.

Additional Information:

Students meeting course requirements should pass the AP Calculus exam with a 3 or better.

Copyright © 2015 Numonohi Christian Academy