Download KCPS Math Grades 7-12 Pacing Guide Grade Level or Course

KCPS Math Grades 7-12 Pacing Guide
Grade Level or
Course/Timeline
August 10-14
Rituals, Routines, Procedures, Pretest
Grade 7
Rituals, Routines, Procedures, Pretest
Grade 8







Rituals, Routines, Procedures, Pretest
Algebra 1


Rituals, Routines, Procedures, Pretest
August 2015
August 17-21
Ratios and Rates
Equivalent Ratios
Unit Rates
Ratios with Fractions
Unit Rates with Fractions
Rational & Irrational Numbers
Expressing Rational & Irrational Numbers with
Decimals & Exponents
Approximating Irrational Number
Comparing & Ordering Rational & Irrational
Numbers
Solving Equations
Solving Equations
Patterns, Equations, and Graphs
Review Algebra 1A
Algebra 1B
Rituals, Routines, Procedures, Pretest
Geometry
Rituals, Routines, Procedures, Pretest
Algebra 2
Updated July 22, 2015







Tools of Geometry
Nets & Drawings for Visualizing Geometry
Midpoint & Distance in the Coordinate Plane
Points, Lines, & Planes
Exploring Angle Pairs
Perimeter, Circumference, & Area
Measuring Segments and Angles
Basic Constructions





Expressions, Equations, and Inequalities
Patterns and Expressions
Algebraic expressions
Solving Equations
Solving Inequalities
Absolute Value Equations / Inequalities






August 24-28
Proportional Relationships
Proportional Relationships and Tables
Proportional Relationships and Graphs
Constant of Proportionality
Rational & Irrational Numbers
Expressing Rational & Irrational Numbers with
Decimals & Exponents
Approximating Irrational Number
Comparing & Ordering Rational & Irrational
Numbers
KCPS Math Grades 7-12 Pacing Guide
PreCalculus
Calculus
(AP)
College Algebra
IB Math






Functions and Their Graphs
Sketch and graph equations using a graphing utility
Identify and evaluate a function and analyze its graph
Write and graph linear equations and model data with linear functions to make predictions
Analyze transformations of functions
Perform operations and compositions of functions
Find inverses of functions graphically and algebraically






Functions, Equations and Graphs
Use increments to calculate slopes and identify the relationships between parallel and perpendicular lines
Write an equation & sketch a graph of a line.
Determine if a function is odd or even, then find the domain and range.
Find the piecewise function from a given graph.
Write and evaluate compositions of two functions.
Graph the exponential function, find the domain and the range, and solve problems involving exponential growth and decay.





Functions and Their Graphs
Sketch and graph equations using a graphing utility
Identify and evaluate a function and analyze its graph
Write and graph linear equations and model data with linear functions to make predictions
Analyze transformations of functions
Perform operations and compositions of functions






Numbers and Algebra
Identify the sets of integers, rational, natural, and real numbers
Approximate using decimal places and significant figures and determine percentage errors
Express and perform operations with numbers in scientific notation.
Convert currency, SI (Système International) and other basic units of measurement
Solve systems of linear and quadratic equations
Updated July 22, 2015
KCPS Math Grades 7-12 Pacing Guide
Grade Level or
Course/Timeline
Grade 7


August 31- September 4
Proportional Relationships
Proportional Relationships and Equations
Maps and Scale Drawings
Grade 8


Linear Equations in One Variable
Solving Two Step Equations
Solving Equations with Variables on both sides
Algebra 1


Solving Equations
Solving Equations
Patterns, Equations, and Graphs








SEPTEMBER 2015
September 7-11
Percents
The Percent Equation
Using the Percent Equation
Simple Interest
Compound Interest
Percent Increase and Decrease
Markups and Markdowns
September 14-18
September 21-25
Adding and Subtracting
Rational Numbers
Linear equations in One Variable
 Use the distributive property to solve equations
 Interpret the number of solutions to a linear equation
Solving Inequalities
Solving Inequalities
Absolute Value Equations and Inequalities
Review Algebra 1A
Algebra 1B
Geometry



Reasoning & Proof
Patterns& Inductive Reasoning
Conditional Statements
Deductive Reasoning
Proving Angles Congruent
Algebra 2





Functions, Equations and Graphs
Relations and functions
Absolute Value Functions
Direct variation, Linear Equations, models and Graphs
Families of Functions
Two Variable Inequalities
Updated July 22, 2015


Parallel & Perpendicular Lines
Lines & Angles
Properties of parallel Lines
Proving lines parallel



Linear Systems
Solving Systems using Tables & Graphs
Solve Systems Algebraically
Systems of Inequalities
KCPS Math Grades 7-12 Pacing Guide
PreCalculus



Functions and Their Graphs (Continued)
Apply the distance and midpoint formula
Write the equation of a circle and find its radius and center
Construct functions from verbal descriptions and models





Calculus
(AP)



Functions, Equations and Graphs (Continued)
Solve real world problems using exponential regression equations.
Graph curves that are described using parametric equations and find
parameterizations of circles, ellipses, line segments, and other curves
Identify a one-to-one function and determine the algebraic and graphical
representation of a function and its inverse.
Apply the properties of logarithms and use logarithmic regression equations to
solve real world problems.
Functions and Their Graphs
Perform operations and compositions of functions
Find inverses of functions graphically and algebraically
Apply the distance and midpoint formula, write the equation of a circle



Numbers and Algebra
Find the nth term and the sum of the first nth terms of an arithmetic sequence
Find the nth term and the sum of the first nth terms of a geometric sequence
Compute compound interest and determine depreciation




College Algebra
IB Math
Updated July 22, 2015











Polynomials and Rational Functions
Identify polynomials functions, recognize characteristics of its
graph and describe end behavior
Analyze factored form of polynomials then write polynomial
functions from its zeros
Graph polynomial functions
Divide polynomials using long division and synthetic division.
Evaluate a polynomial using the Remainder Theorem
Limits and Continuity
Calculate average and instantaneous speeds.
Define and calculate limits for function values and apply the
properties of limits.
Use the Sandwich Theorem to find certain limits indirectly.
Find and verify end behavior models for various functions.
Calculate limits as x→ ±∞ and identify vertical and horizontal
asymptotes.
Equations and Inequalities
Solve linear equations and conditional equations then prove
identities
Perform operations on complex numbers
Solve quadratic equations by factoring, by completing the square
and by quadratic formula
Descriptive Statistics
Classify data as discrete or continuous
Organize simple discrete data into frequency tables
Create frequency tables and histograms for grouped discrete or
continuous data
KCPS Math Grades 7-12 Pacing Guide
Grade Level or
Course/Timeline
Grade 7
Grade 8
September 28 – October 2







Algebra 1




Adding and Subtracting Rational Numbers
Rational Numbers, Opposites, and Absolute Values
Adding Integers and Rational Numbers
Subtracting Integers and Rational Numbers
Roots
Evaluate square root/cube root of perfect squares/perfect
cubes
Recognize inverse operations for finding the square root
and cube root
Scientific Notation
Use Scientific Notation to describe very small and very
large quantities
Perform operations with numbers expressed in both
decimal and scientific notation form
An Introduction to Functions
Using Graphs to Relate Two Quantities
Patterns and Linear and Nonlinear Functions
Graphing and Writing and Function Rule
Arithmetic Sequences
Review Algebra 1A
Algebra 1B
Geometry




Algebra 2


Parallel & Perpendicular Lines
Parallel & Perpendicular Lines
Equations of Lines in the Coordinate Plane
Parallel Lines & Triangles
Constructions
Linear Systems (cont)
Systems with Three Variables
Updated July 22, 2015
OCTOBER 2015
October 12-16
October 5-9 (Q1)
October 19-23



Multiplying and Dividing Rational Numbers
Multiply Integers and Rational Numbers
Dividing Integers and Rational Numbers
Operations with Rational Numbers




Proportional Relationships, Lines, & Linear
Equations
Graphing Proportional Relationships
Linear Equations : y = mx + b
Unit Rates and Slope (of a Line)
y intercept of a line

















Linear Functions
Slope and intercepts
Forms of Linear Functions
Parallel and Perpendicular lines
Scatter Plots and Trend Lines
Graphing Absolute Value Functions
Exponents and Exponential Functions
Properties of Exponents
Exponential Functions
Exponential Growth and Decay
Geometric Sequences
Congruent Triangles
Congruent Figures
Triangle Congruence by SSS & SAS
Triangle Congruence by ASA & AAS
Using Corresponding Parts of Congruent Triangles
Quadratic Functions and Equations
Quadratic Functions, Transformations and Equations
Quadratic Systems
Completing the Square and The Quadratic Formula
Factoring Quadratic Expressions
Complex Numbers
October 26 - 30




Decimals and
Percent
Repeating and
Terminating Decimals
Fractions, Decimals,
and Percents
Systems of Two
Linear Equations
Estimating Solutions
and Solving Linear
Systems by Inspection
& Graphing
Solving Systems of
Linear Equations by
Substitution, Addition,
& Subtraction
KCPS Math Grades 7-12 Pacing Guide
PreCalculus





Calculus
(AP)




College Algebra


IB Math



Polynomials and Rational Functions (Continued)
Solve polynomial equations using the Factor Theorem
Find zeros of polynomial functions
Find the domain of a rational function and identify its
vertical/horizontal asymptotes (if any)
Graph rational functions
Limits and Continuity (Continued)
Identify the intervals upon which a given function is
continuous and
understand the meaning of continuous
function.
Extend or modify a function to remove discontinuities.
Apply the Intermediate Value Theorem and the properties
of algebraic combinations and composites of continuous
functions.
Apply directly the definition of the slope of a curve in
order to calculate slopes
Find the equations of the tangent line and normal line to a
curve at a given point and find the average rate of change
of a function
Equations and Inequalities
Solve rational equations, radical equations, absolute value
equations, and equations can be transforming to a
quadratic form.
Solve linear and rational inequalities
Descriptive Statistics
Create frequency tables and histograms for grouped
discrete or continuous data
Create cumulative frequency tables and box plots for
grouped discrete data and grouped continuous data
Calculate the measures of central tendency and dispersion
Updated July 22, 2015










Exponential and Logarithmic Functions
Evaluate and graph exponential and logarithmic functions.
Rewrite and evaluate and graph logarithmic functions
Finding Derivatives and Implicit Differentiation
Calculate slopes and derivative numerically and graphically.
Graph f from the graph f’, graph f’ from the graph of f, and graph the derivative of a
function.
Find where a function is not differentiable and distinguish between cusps, corners,
discontinuities, and vertical tangents.
Polynomial and Rational Functions
Identify and graph quadratic functions and model data with quadratic functions
Identify polynomial functions, recognize characteristics of its graph and describe end
behavior
Divide polynomials using long division/synthetic division and the Remainder and
Factor Theorems
Logic, Sets, and Probability
Apply the basic concepts of symbolic logic and propositions
Write and translate compound statements using implication, equivalence, negation,
conjunction, disjunction, and exclusive disjunction.
Construct truth tables and identify a tautology or contradiction
Construct the converse, inverse and contrapositive from implication and test the
validity of simple arguments.
KCPS Math Grades 7-12 Pacing Guide
Grade Level or
Course/Timeline
Grade 7

Grade 8


Algebra 1



Algebra 1B




Geometry






Algebra 2







NOVEMBER 2015
November 2 – 6
November 9-13
November 16-20
November 23-27
Equivalent Expressions
Equivalent Expressions
Expanding and Factoring Algebraic Expressions
 Expanding and Factoring Algebraic Expressions
Adding and Subtracting Algebraic Expressions
 Adding and Subtracting Algebraic Expressions
Systems of Two Linear Equations
Defining & Comparing
Functions
Estimating Solutions and Solving Linear Systems by Inspection & Graphing

Recognizing & Representing
Solving Systems of Linear Equations by Substitution, Addition, & Subtraction
Linear & Non-Linear Functions
 Increasing & Decreasing
Intervals
 Sketching a Function Graph
Linear Functions
Systems of Equations and Inequalities
Parallel and Perpendicular lines
 Solving Systems by Graphing, Substitution, and Elimination
Scatter Plots and Trend Lines
 Linear Inequalities and Systems of Linear Inequalities
Graphing Absolute Value Functions
Exponents and Exponential Functions
Polynomials and Factoring
Properties of Exponents
 Operations on Polynomials
Exponential Functions
 Factoring Polynomials
Exponential Growth and Decay
Geometric Sequences
Relationships Within Triangles
Polygons & Quadrilaterals
Midsegments of Triangles
 Polygon – Angle Sum Theory
Medians & Altitudes
 Conditions and Properties of for
Parallelograms, Rhombi,
Perpendicular & Angle Bisectors
Rectangles, Squares, Trapezoids
Indirect Proof
& Kites
Bisectors in Triangles
 Polygons in Coordinate Plane
Inequalities in One Triangle
 Applying Coordinate Geometry
Inequalities in Two Triangles
and using Proofs in Coordinate
Geometry
Polynomials and Polynomial Functions
Polynomial Functions and Models
Dividing Polynomials
Binomial Theorem
Polynomials, Linear Factors, and Zeroes
Theorems: Roots of Polynomial Equations
Solving Polynomial Equations
Transforming Polynomial Functions
Updated July 22, 2015



Radical Functions & Rational
Exponents
Roots & Radical Expressions
Binomial Radical Expressions
Rational Exponents
KCPS Math Grades 7-12 Pacing Guide
PreCalculus
Calculus
(AP)
College Algebra




Exponential and Logarithmic Functions (Continued)
Expand and condense logarithmic expressions using properties of logarithms
Solve exponential and logarithmic equations.
Solve real-life problems using exponential growth and decay models




Finding Derivatives and Implicit Differentiation (Continued)
Find derivatives, the instantaneous rate of change, including higher order derivatives.
Analyze straight line motion and solve real world problems involving rates of change.
Find derivatives of trigonometric and inverse trigonometric functions.
Apply the Chain Rule to find the derivative of composite function



IB Math








Trigonometric Functions
Convert angle measures from
radians to degrees and vice
versa.
Use the unit circle to define
trigonometric functions of real
numbers
Polynomial and Rational Functions
Exponential and Logarithmic Functions
Divide polynomials using long division/synthetic division and the
 Graph and evaluate exponential / logarithmic functions.
Remainder and Factor Theorems
 Rewrite and evaluate logarithmic functions with a different base.
Find zeros of polynomial functions
Sketch the graph of rational functions, find its domain and asymptotes
Logic, Sets, and Probability
Apply the basic concepts of symbolic logic and propositions
Write and translate compound statements using implication, equivalence, negation, conjunction, disjunction, and exclusive disjunction.
Construct truth tables and identify a tautology or contradiction
Construct the converse, inverse and contrapositive from implication and test the validity of simple arguments.
Apply the basic concepts of set theory and set relations.
Find the probability of equally likely, combined, mutually exclusive, independent, and conditional events
Updated July 22, 2015
KCPS Math Grades 7-12 Pacing Guide
DECEMBER 2015
Grade Level or
Course/Timeline
Grade 7
Grade 8
Algebra 1
Algebra 1B
Geometry
Algebra 2
PreCalculus
Calculus
(AP)
November 30 – December 4
December 7-11
Equations
Inequalities
 Solve Simple Equations
 Solving One- Step Inequalities
 Write and Solve Two-Step Equations
 Solving Two-Step Inequalities
 Solving Equations Using the Distributive
 Solving Multi-Step Inequalities
Property
Defining & Comparing Functions
 Recognizing & Representing Linear & Non-Linear Functions
 Increasing & Decreasing Intervals
Sketching a Function Graph
Systems of Equations and Inequalities
 Solving Systems by Graphing, Substitution, and Elimination
 Linear Inequalities and Systems of Linear Inequalities
Polynomials and Factoring
 Factoring Polynomials
Polygons & Quadrilaterals
 Polygon – Angle Sum Theory
 Conditions and Properties of for Parallelograms, Rhombi, Rectangles, Squares, Trapezoids & Kites
 Polygons in Coordinate Plane
 Applying Coordinate Geometry and using Proofs in Coordinate Geometry
Radical Functions & Rational Exponents
 Roots & Radical Expressions
 Binomial Radical Expressions
 Rational Exponents Solving Square Roots & Other Radical Expressions
 Inverse Relations & Functions
 Function Operations
 Graphing Radical Functions
Trigonometric Functions
 Use the unit circle to define trigonometric functions of real numbers
 Evaluate trigonometric functions using right triangles and reference angles
 Sketch the graphs of trigonometric functions.
 Evaluate the inverses and compositions of trigonometric functions
Finding Derivatives and Implicit Differentiation (Continued)
 Find slopes if parameterized curves.
 Find derivatives using implicit differentiation.
 Find the derivatives of exponential and logarithmic functions.
Updated July 22, 2015
December 14-18 (Q2)
December 19January 3
WINTER
BREAK
KCPS Math Grades 7-12 Pacing Guide
College Algebra
IB Math
Exponential and Logarithmic Functions
 Use properties of logarithms to expand and condense logarithmic expressions
 Solve exponential and logarithmic equations
 Solve real-world problems by modeling with exponential and logarithmic functions
Logic, Sets, and Probability
Statistical Applications (Part 1)
 Apply the basic concepts of set theory  Use the normal distribution to find normal probability calculations.
and set relations.
 Construct scatter diagrams and understand the concept of correlation.
 Find the probability of equally likely,
combined, mutually exclusive,
independent, and conditional events
Updated July 22, 2015
KCPS Math Grades 7-12 Pacing Guide
JANUARY 2016
Grade Level or
Course/Timeline
Grade 7
Grade 8
Algebra 1
Algebra 1B
Geometry
Algebra 2
PreCalculus
January 4-8
January 11-15
Angles
 Adjacent, Complementary, Supplementary and Vertical Angles
Linear Functions
 Determining the Rate of Change, & Identifying the Defining a Linear
Function Rule Initial Value
 Comparing Two Linear functions
 Constructing a Function to Model a Linear Relationship
Exponents and Exponential Functions
 Properties of Exponents
 Exponential Functions
 Exponential Growth and Decay
 Geometric Sequences
Quadratics Functions and Equations
 Solve Quadratic Equations
 Linear, Quadratic, and Exponential Models
 Systems of Linear and Quadratic Models
Similarity
 Ratios & Proportions
 Similarity in Right Triangles
 Similar Polygons
 Proportions in Triangles
 Proving Triangles Similar










January 18-22
January 25-29
Circles
Center, Radius, and Diameter
Area of Circle
Relating Circumference and Area of a Circle
Congruence
Similarity
Translations, Reflections, &
 Dilations & Similar Figures
Rotations
Relating Similar Triangles &
Congruent Figures
Slope
Polynomials and Factoring
 Operations on Polynomials
Right Triangles &
Trigonometry
 Pythagorean Theorem &
Converse
Exponential & Logarithmic Functions
Exploring Exponential Models
Properties of Logarithms
Properties of Exponential Functions
Exponential & Logarithmic Equations
Logarithmic Functions as Inverses
Natural Logarithms
Trigonometric Equations and Identities
 Verify the trigonometric identities
 Rewrite and evaluate trigonometric functions by using trigonometric formulas
 Solve trigonometric equations and inverses of trigonometric functions
Updated July 22, 2015
Additional Topics in
Trigonometry
 Solve oblique triangles by using
the Law of Sines and the Law of
Cosines
KCPS Math Grades 7-12 Pacing Guide
Calculus
(AP)
College Algebra
IB Math






Applications of Derivatives
Apply the Mean Value Theorem and find the intervals on which a function is increasing or decreasing.
Use the First and Second Derivative Tests to determine the local extreme values of a function and graph f using the information about f’.
Determine the concavity of a function and locate the points of inflection by analyzing the second derivative.
Solve application problems involving finding minimum or maximum values of functions.
Find linearization and estimate the change in a function using differentials.
Solve related rate problems
Systems of Equations and Inequalities
 Graph and solve system of linear equations in two or three variables
 Solve systems of nonlinear equations in two variables
 Solve systems of inequalities and sketch the graphs of inequalities in two variables
Statistical Applications
Geometry and Trigonometry
 Determine the regression line for prediction purposes by hand and with
 Apply the properties and relationships of lines
the use of a GDC.
 Solve right triangles using trigonometric ratios
 Use the Χ2 (chi-square) test to determine the independence of sets of data
Updated July 22, 2015
KCPS Math Grades 7-12 Pacing Guide
FEBRUARY 2016
Grade Level or
Course/Timeline
February 1-5
2-Dimensional Shapes
Area of irregular polygons
Grade 7

Grade 8
Reasoning in Geometry
 Interior & Exterior Angles of
Triangles
Algebra 1
Algebra 1B
Geometry
Algebra 2
PreCalculus
February 8-12

Comparing Two Populations
Statistical Measures
February 15-19
Comparing Two Populations
 Using Measures of Center and Variability
 Exploring Overlap In Data Sets
Using the Pythagorean Theorem
 Converse of the Pythagorean Theorem
 Distance in the Coordinate Plane
Polynomials and Factoring
 Factoring Polynomials
Quadratics Functions and Equations
 Solve Quadratic Equations
 Linear, Quadratic, and Exponential Models
 Systems of Linear and Quadratic Models
Right Triangles & Trigonometry
 Special Right Triangles
 Law of Sines
 Trigonometry
 Law of Cosines
Surface Area & Volume
 Surface Area of Cylinders and
Cones
Quadratics Functions and Equations
 Quadratic Functions
 Solve Quadratic Equations
Transformations
 Translations
 Composition of Isometries
 Similarity Transformations
 Reflections
 Triangle Congruence
 Rotations
 Dilations
Rational Functions

Inverse variation
 The Reciprocal Function Family
 Rational Functions & their Graphs
 Rational Expressions
 Adding & Subtracting Rational Expressions
 Solving Rational Equations
Additional Topics in
Additional Topics in Trigonometry

Plot points in polar coordinate system.
Trigonometry

Convert a point/equation from rectangular to polar and vice versa
 Write the component forms of

Plot complex numbers in the complex plane and find it absolute value
vectors and perform basic

Convert complex numbers from polar to rectangular and vice versa
vector operations

Perform operations of complex numbers in polar form

Perform operations with vectors and find the direction angles of vectors
Updated July 22, 2015
February 22-26
KCPS Math Grades 7-12 Pacing Guide
Applications of Derivatives
Calculus
(AP)
College Algebra
IB Math
 Find linearization and estimate
the change in a function using
differentials.
 Solve related rate problems
Integration: The Definite Integral and Antiderivatives
 Approximate the area under the graph of a nonnegative continuous function by using rectangle approximation
methods.
 Interpret the area under a graph as a net accumulation of a rate of change.
 Express the area under a curve as a definite integral and as a limit of Riemann sums.
 Compute the area under a curve using a numerical integration procedure.
Systems of Equations and
Matrices and Determinants
Inequalities
 Perform matrix row operations and use matrices (Gaussian elimination/Gauss Jordan elimination) to solve
 Solve systems of inequalities and
systems of equations
sketch the graphs of inequalities
 Add, subtract and multiply matrices and solve real world applications involving matrices
in two variables
Geometry and Trigonometry
 Find the area and use the sine and cosine rules to find angles and sides of oblique triangles
 Determine the surface area, volume, and length three-dimensional solids
Updated July 22, 2015
KCPS Math Grades 7-12 Pacing Guide
MARCH 2016
Grade Level or
Course/Timeline
Grade 7
February 29 – March 4
Comparing Two
Populations
 Using Measures of
Center and Variability
 Exploring Overlap In
Data Sets
Grade 8
Surface Area & Volume
 Volumes of Cylinders, Cones,
Algebra 1

Algebra 1B
Geometry
Algebra 2
March 7-11 (Q3)
Probability Concepts
 Likelihood and
Probability
 Relative Frequency and
Experimental Probability
 Theoretical Probability
Quadratic Functions and Equations
Linear, Quadratic, and Exponential Models
Quadratics Functions and Equations
 Solve Quadratic Equations
 Linear, Quadratic, and Exponential Models
 Systems of Linear and Quadratic Models
Transformations
 Translations
 Composition of Isometries
 Similarity Transformations
 Reflections
 Triangle Congruence
 Rotations
 Dilations
Sequences & Series
 Arithmetic Series
 Geometric Series
Updated July 22, 2015
March 14-18
March 21-25
March 28 -April 1
Probability Concepts
 Likelihood and Probability
 Relative Frequency and Experimental
Probability
 Theoretical Probability
Compound Events
 Compound Events and
Sample Space
 Finding Compound
Probability
Simulating Compound
Events
Relative Frequency
 Bivariate Categorical Data
 Constructing & Interpreting Two-way Frequency Tables
Choosing a Measure of Frequency
SPRING
BREAK
Data Analysis and Probability
 Measures of Central Tendency and
Dispersion
 Box-and Whisker Plots
EOC Review
Data Analysis and Probability
 Measures of Central Tendency and
Dispersion
 Box-and Whisker Plots
EOC Review






Area
Areas of Parallelograms, Triangles, Trapezoids, Rhombi, & Kites
Trigonometry & Area
Circles & Area
Areas of Regular Polygons
Perimeters & Areas of Similar Figures
Geometric Probability
Review Units # 1 – 3
KCPS Math Grades 7-12 Pacing Guide
PreCalculus
Calculus
(AP)
Additional Topics in Trigonometry (Continued)
Perform operations of complex numbers in polar form
Perform operations with vectors and find the direction
angles of vectors





College Algebra


IB Math


Integration: The Definite Integral and Antiderivatives
(Continued)
Apply rules for definite integrals and find the average
value of a function over a closed interval.
Apply the Fundamental Theorem of Calculus
Describe the relationship between the derivative
Matrices and Determinants
Add, subtract and multiply matrices and solve real world
applications involving matrices
Solve systems of linear equations using inverses,
determinants or Cramer’s Rule
Mathematical Models
Use linear models and linear functions to construct graphs
Use quadratic models and quadratic functions to
construct graphs.
Updated July 22, 2015
Systems of Equations and Inequalities
 Solve systems of linear equations in two or three variables
algebraically

Differential Equations and Applications
Construct antiderivatives using the Fundamental Theorem of
Calculus and slope fields as visualizations of different equations.
dy
Solve initial value problems in the form = f(x) = y0 = f(x0
dx
Conic Sections
 Identify, graph, and write the equations
of conic sections
Mathematical Models
 Use exponential models and use
exponential functions to construct
graphs.
KCPS Math Grades 7-12 Pacing Guide
APRIL 2016
Grade Level or
Course/Timeline

Grade 7





Grade 8
April 4-8
April 11-15
Compound Events
MAP Testing Review
Compound Events and Sample
Space
Finding Compound Probability
Simulating Compound Events
Relative Frequency
Bivariate Categorical Data
Constructing & Interpreting Two-way Frequency Tables
Choosing a Measure of Frequency
EOC Review
April 18-22
April 25 - 29
MAP Testing Review
Algebra 1
EOC Review
Algebra 1B
Area
 Areas of Parallelograms,
Triangles, Trapezoids, Rhombi,
& Kites
 Trigonometry & Area
 Circles & Area
 Areas of Regular Polygons
 Perimeters & Areas of Similar
Figures
 Geometric Probability
Geometry





Surface Area & Volume
Space Figures & Cross Sections
Surface Areas & of Prisms & Cylinders
Surface Areas of Pyramids & Cones
Volume and Surface Area of Prisms, Cylinders, Spheres, Pyramids & Cones
Areas & Volumes of Similar Solids
Review Units #4 - 9
Algebra 2
Systems of Equations and Inequalities
 Solve system of nonlinear equations algebraically
 Solve the systems of inequalities and sketch the graphs of inequalities in two variables.
 Use linear programming to solve problems
PreCalculus
Calculus
(AP)




Differential Equations and Applications (Continued)
Compute indefinite and definite integrals by the method of substitution.
Solve problems involving exponential growth and decay in a variety of applications.
Solve problems involving exponential or logistic population growth.
Solve problems in which a rate is integrated to find the net change over time in a variety of applications.
Updated July 22, 2015
Matrices and Determinants
Perform matrix row operations
on matrices
 Use matrices and Gaussian
elimination/Gauss Jordan
elimination to solve systems

KCPS Math Grades 7-12 Pacing Guide
College Algebra
IB Math
Conic Sections
 Identify, graph, and write the equations of conic sections
Mathematical Models
 Draw accurate graphs
 Use the GDC to solve equations
involving combinations of some
simple, unfamiliar functions
Updated July 22, 2015
Introduction to Differential Calculus
 Find the gradient of a line through two points on a curve and the tangent
to a curve
 Find the derivative of polynomials and functions with negative powers
of the variable
Sequences, Series and
Probability
 Find the nth term of a sequence
using recursion formulas
 Find the terms and the sum of
the first n terms of an arithmetic/
geometric sequence
Introduction to Differential
Calculus
 Find the gradient of a curve and
the equation of a tangent to the
curve
KCPS Math Grades 7-12 Pacing Guide
MAY 2016
Grade Level or
Course/Timeline
May 2 – 6
May 9 – 13
MAP Testing Review/Test Week
Prepare for Math 8 or Algebra 1
MAP Review/Test Week
Preparing for Algebra 1
Probable EOC Test Week
Prepare for Algebra 2 and Geometry
Probable EOC Test Week
Prepare for Algebra 2 and Geometry
May 16 – May 17+
Prepare for Math 8 or Algebra 1
Grade 7
Grade 8
Algebra 1
Algebra 1B
Probable EOC Test
Geometry
Algebra 2
PreCalculus
Calculus
(AP)
College Algebra
IB Math
Probable EOC Test Week
Prepare for Algebra 2 and Geometry
Matrices and Determinants
 Use matrices and Gaussian elimination/Gauss Jordan elimination to solve systems
 Find the matrix solutions to linear systems
 Perform operations on matrices and solve real world applications involving matrices
 Find the inverses of matrices and use inverse matrices to solve systems of linear equations
 Use determinants and Cramer’s Rule to solve systems of linear equations
Differential Equations and Applications (8 weeks)
 Use the integration to calculate areas of regions in a plane, the areas of solids of revolution, and the volume of solids (slicing method and cross
sections)
 Find limits of indeterminate forms using L’Hôpital’s Rule
Sequences, Series and Probability
 Compute permutations and combinations
 Find probability of multiple events(dependent, independent and mutually exclusive events)
Introduction to Differential Calculus
 Find the gradient of a curve and the equation of a tangent to the curve

Determine if a function is increasing or decreasing

Determine values where the gradient is zero and find local maximum, minimum, and stationary points
 Use maximum or minimum values to solve optimization problems
Updated July 22, 2015