Algebra 1 and Algebra 2 Petal Pacing Guide Lynchburg City ......Algebra 1 and Algebra 2 Petal Pacing Guide Lynchburg City Schools 2013-2014 ... Algebra 1 and Algebra 2 Petal Pacing
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Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Grading Period: 1st Nine Weeks Total Days to Teach = 44 days
SOL & Enabling Objectives: Description
Text
Recommended Activities
Time
Frame
Begin the school year with relationship building activities – continue integrating relationship building throughout the school year
Activity Ideas
PRE-TEST (for Teacher Evaluation & School Improvement: Interactive Achievement) will be released by the division to be administered at a time TBA
Begin teaching the 3rd day of school. DO NOT FEEL BOUND TO THE TEXT BOOK! PLEASE USE ONLINE RESOURCES, APPLETS, & HANDS-ON ACTIVITIES
**Review of Algebra 1 & arithmetic skills as evidenced by PRE-TEST
Algebraic Expressions
A.1a Translate verbal quantitative situations into algebraic expressions and vice versa.
1-1, 1-7
1-1, 1-4, 1-5
ESS A.1ad Translate & Evaluate
ESS A.1c Evaluating Simplifying Expressions
ESS A3a Simplifying Square Roots
3 days
Total for this unit = 4
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
A.1b Model real-world situations w/ algebraic expressions in a variety of representations (concrete, pictorial, symbolic, verbal). A.1c Evaluate algebraic expressions for a given replacement set to include rational numbers. A.3a Express square roots of a whole number in simplest form. A.3b Express the cube root of a whole number in simplest form. A.1d Evaluate expressions that contain absolute value, square roots, & cube roots. A.4b Simplify expressions using the field properties of the real numbers and properties of equality to justify simplification.
1-2, 1-4, 1-5, 1-6
10-3, 11-1
Not in text!
Sq. Roots 11-4
No Cube, 1-4, 1-5, 1-6, 1-7 justify = 1-8
ESS A3.b Simplify Radical
ESS A.1ad Translate & Evaluate
ESS A4b A Mystery to Solve
Solving Linear Equations
A.4b Solve equations using the field properties of the real numbers & properties of equality to justify the solution.
2-1, 2-2
ESS A.4b a Mystery to Solve
Model solving equations = p.127
ESS A.4e Algebra Tiles & Equation Solving
Total for this unit = 5 days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
A.4e Solve multi-step linear equations in one variable. A.4l Determine if a linear equation in one variable has one, an infinite number, or no solutions. A.4f Confirm algebraic solutions to linear equations using a graphing calculator. A.4a Solve a literal equation (formula) for a specific variable.
2-3, 2-4
2-4
p. 102
2-6
Model p.141
NLVM Algebra Balance Scales
NLVM Algebra Balance Scales – Negative
ESS A.4f Solving Linear Equations
Illuminations Lesson Geology Rocks Equations
ESS A.4a solve for Unknown
Solving Linear Inequalities
A.5a Solve multi-step linear inequalities in one variable A.5b Justify steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers A.5c Solve real-world problems involving inequalities.
3-1, 3-2, 3-4
3-2, 3-3
3-1, 3-2, 3-3, 3-4
ESS A.5a Inequalities
ESS A.5b Greetings
Solve inequalities Virtual Lab
Total for this unit = 2 days
Relations Total for
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
A.7a Determine whether a relation, represented by a set of ordered pairs, a table, or a graph is a function.
A.7d Represent relations & functions using All.7a concrete, verbal, numeric, graphic & algebraic forms. Given one representation, students will be able to represent the relation in another form. A.7b Identify the domain, range, zeros & intercepts of a function presented algebraically or graphically. A.7c For each x in the domain of f, find f(x). A.7e Detect patterns in data and represent arithmetic and geometric patterns algebraically.
5-2
5-2, 5-3, 5-4
5-2. 5-3
5-2
5-4
ESS A.7d Square Patios
ESS A.7b Functions 2
ESS A.7a Functions 1
Domain and Range Using Graphs
NLVM Function Machine
Illuminations Lesson Do You Notice Sum Thing?
Illuminations Lesson Rates & Taxes
NLVM Function Grapher
Graph, Domain and Range of Common Functions
this unit = 4 days
Slope
Total for this unit
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
A.6f Recognize and describe a line with a slope that is positive, negative, zero, or undefined. A.6e Find the slope of a line, given the graph of a line. A.6c Find the slope of a line, given the equation of a linear function. A.6d Find the slope of a line, given the coordinates of two points on the line.
6-1
6-1
6-2, 6-3
6-1
Math Forum Activity Slope of a Line
Interactive Activity Slop Slider
ESS A 6d Submarine
Illuminations Lesson Movement with f(x)s
Illuminations Lesson Rise Run Triangles
= 3 days
Graphing Linear Equations & Inequalities A.6a Graph linear equations in two variables, including those that arise from a variety of real- world problems. A.6b Use the parent function y = x and describe transformations defined by changes in the slope or y-intercept. A.6h Write an equation of a line when given the graph of a line. A.6g Use transformational graphing to investigate
6-2, 6-3, 6-4 7-5
(inequalities)
p. 290
6-2
NLVM Line Plotter
Line Grapher y=mx + b
ESS A.6b Transformationally Speaking
Interactive Activity Graphit
Illuminations Lesson Trout Pond equation of line
Total for this unit = 4 days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
effects of changes in equation parameters on the graph of the equations. A.6j Write an equation of a line given the slope and a point on the line whose coordinates are integers. A.6i Write an equation of a line when given two points on the line whose coordinates are integers. A.6k Write an equation of a vertical line as x = a A.6l Write an equation of a horizontal line as y = c
p. 290
6-4
6-4
6-3
6-3
ESS A.6g Transformation Investigation
Seeing math Activity Linear Transformer
ESS A.6i Equations of Lines
ESS A.6i Slippery Slope
ESS A.6k slope 2 slope
Direct & Inverse Variation A.8a Given a situation, including a real-world situation, determine whether a direct variation exists. A.8c Write an equation for a direct variation, give a set of data. A.8e Graph an equation representing a direct variation, given a set of data.
5-5
5-5
5-5
ESS a.8a Direct Variation
Illuminations Lesson Mow Whole Thing?
Interactive Activity Graphit
ESS A.8b Inverse Variation
Total for this unit = 2 days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
A.8b Given a situation, including a real-world situation, determine whether an inverse variation exists. A.8d Write an equation for an inverse variation, given a set of data.
12-1
12-1
Solving Systems of Linear Equations & Inequalities A.4h Given a system of two linear equations in two variables that has a unique solution, solve the system graphically by identifying the point of intersection. A.4g Given a system of two linear equations in two variables that has a unique solution, solve the system by substitution of elimination to find the ordered pair which satisfies both equations. A.4i Determine whether a system of two linear equations has one solutions, no solution, or infinite solutions. A.4j Write a system of two linear equations that models a real-world situation.
7-1
7-2, 7-3
7-1, 7-2, 7-3
7-1, 7-2, 7-3,
ESS A.4h Spring Fling Carnival
ESS A4.g All.c How Much is that Tune
Illuminations Lesson Supply & Demand
ESS A.4i Road Trip
ESS A.4j2 Exercise Fields
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
A.4k Interpret and determine the reasonableness of the algebraic or graphical solution of a system of two linear equations that models a real-world situation. A.5d Solve systems of linear inequalities algebraically and graphically.
7-4
7-1, 7-2, 7-3, 7-4
7-6
ESS A.5d Graphing System Inequalities
Interactive Activity Linear Inequalities
Polynomials A.2a Simplify monomial expressions & ratios of monomial expressions in which the exponents are integers, using the laws of exponents. A.2b Model sum & difference of polynomials w/ concrete objects & their related pictorial representations. A.2c Relate concrete & pictorial manipulations that model polynomial operations to their corresponding symbolic representations. A.2d Find sums & differences of polynomials. A.2b Model products of polynomials w/ concrete
8-1, 8-2, 8-3
Not in text!
Not in text!
9-1
p.466
(For 8-1) ESS A2a Exponents
(for 8-2) ESS A2 a Scientifically Speaking (sci. not.)
Algebra Tiles (see A.2d, A.2e, A.2f)
Virtual Algebra Tiles
ESS A2.d Add Subtract Polynomials Alg Tiles
(Algebra Tiles (see A.2d, A.2e, A.2f)
Total for this unit
= 10 days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
objects & their related pictorial representations. A.2c Relate concrete & pictorial manipulations that model polynomial operations to their corresponding symbolic representations. A.2e Find the products of polynomials. The factors will have no more that five total terms. A.2b Model quotients of polynomials w/ concrete objects & related pictorial representations. A.2c Relate concrete & pictorial manipulations that model polynomial operations to their corresponding symbolic representations. A.2f Find the quotient of polynomials, using a monomial or binomial divisor, or a complete factored divisor.
Not in text!
9-2, 9-3, 9-4
Not in text!
Not in text!
9-2 (monomial)
12-5 (binomial)
NLVM Algebra Tiles
ESS A.2e Multiply Poly With Alg Tiles
ESS A2.f Divide Poly with Alg. Tiles
Flex days/Remediation
2 days
Grading Period: 2nd Nine Weeks Total Days to Teach = 45 days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
SOL & Enabling Objective: Description
Text
Recommended Activities
Time
Frame
Factoring Polynomials A.2g Factor completely first-and second-degree polynomials w/ integral coefficients A.2h Identify prime polynomials A.2i Use the x-intercepts from the graphical representation of the polynomial to determine & confirm its factors
9-5, 9-6
Not in text!
Not in text!
ESS A.2g Factoring
NLVM Algebra Tiles
Total for this unit = 5
days
Finding Roots of Expressions & Quadratic Equations
A.3c Express the principal square root of a monomial algebraic expression in simplest form where variables are assumed to have positive values. A.4c Solve quadratic equations. A.4d Identify the roots or zeros of a quadratic function over the real number system as the solutions to the quadratic equation that is
11-1
10-4, 10-5
10-4
Cutting Corners solving quadratic equations lesson
Solving quadratic equation practice
ESS A4.d Factoring for Zeros
Total for this unit = 8
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
formed by setting the given quadratic expression equal to zero. A.4f Confirm algebraic solutions to quadratic equations, using a graphing calculator.
10-1, 10-2
Statistics
A.9a Analyze descriptive statistics to determine the implications for the real-world situations from which the data drive. A.9b Given data, including data in a real-world context, calculate & interpret the mean absolute deviation of a data set. A.9c Given data, including data in a real-world context, calculate variance & standard deviation of a data set & interpret the standard deviation. A.9d Given data, including data in a real-world context, calculate & interpret z-score for a data set. A.9e Explain ways in which standard deviation
Not in text!
Not in text!
Not in text!
Not in text!
Not in text!
ESS A.9a Analyzing Interpreting Stats
Interactive Activity Measures
Interactive Activity Normal Distribution
ESS A9.b Exploring Stats
ESS A.9c Calculating Measures Dispersion
ESS A9.d Z-scores
Total for this unit = 9
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
addresses dispersion by examining the formula for standard deviation. A.9f Compare & contrast mean absolute deviation & standard deviation in real-world context. A.10 Compare, contrast,& analyze data, including data from real-world situations displayed in box-and-whisker plots.
Not in text!
p. 740
ESS A10 Box-and Whisker Plots
Illuminations Activity Box Plotter
Illuminations lesson plan_NBA & box plots
Properties of the Real Number System
Akk3.b Determine which field properties apply to the complex number system. All3.f Place the following sets of numbers in a hierarchy of subsets: complex, pur imaginary, real, rational, irrational, integers, whole, & natural.
1-1
1-2
ESS All 3.a-h Complex Numbers
Operations with Complex Numbers Ti-83
Total for this unit = 3 days
Solving Absolute Value Equations and Inequalities
All.4a Solve absolute value equations & inequalities algebraically & graphically.
1-3, 1-4, 1-5
ESS All.4a Absolute Value Equations & Inequalities
NLVM Solving equations with balance scales
NLVM Graphing Function Transformations
Total for this unit = 3
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Absolute Value Inequality Number Line
Compound Inequality Game
Absolute Value Functions
All.6a Recognize graphs of parent functions. All.6b Given a transformation of a parent function, identify the graph of the transformed function. All.6c Given the equation & using a transformation approach, graph a function. All.6d Given the graph of a function, identify the parent function. All.6e Given the graph of a function, identify the transformations that map the pre-image to the image in order to determine the equation of the image. All.6f Using a transformational approach, write the equation of a function given its graph.
2-5
2-6
ESS All.6a-f Transformational Graphing
Transformation Activity Exponential & Absolute Value
NLVM Graphing Function Transformations
NLVM Function Grapher
Total for this unit = 4
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Flex days & Remediation 2 days
SOL Review & Testing 10 days
Mid-term Exam 1 day
Grading Period: 3rd Nine Weeks Total Days to Teach = 48 days
SOL & Enabling Objective: Description
Text
Recommended Activities
Time
Frame
Linear and Quadratic Regressions All.9a Collect & analyze data All.9b Investigate scaterplots to determine if patterns exist & then identify the patterns. All.9c Find an equation for the curve of best fit for data, using a graphing calculator. Models will include polynomial, exponential, & logarithmic functions. All.9d Make predictions, using data, scatterplots, or the equation of the curve of best fit. All.9e Given a set of data, determine the model that would best describe the data.
2-4
5-1
Illuminations Lesson Exploring Linear Data
Illuminations Lesson How Tall?
NLVM Block Patterns curve of bets fit
Illuminations Activity Line of Best Fit
Illuminations Lesson Barbie Bungee
Total for this unit = 2
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Properties of Quadratics All.6a Recognize graphs of parent functions All.6b Given a transformation of a parent function, identify the graph of the transformed function. All.6c Given the equation & using a transformation approach, graph a function. All.6d Given the graph of a function, identify the parent function. All.6e Given the graph of a function, identify the transformations that map the pre-image to the image in order to determine the equation of the image. All.6f Using a transformational approach, write the equation of a function given its graph. All.7a Identify the domain, range, zeros, & intercepts of a function presented algebraically & graphically.
5-2
5-3
NLVM Graphing Function Transformations
NLVM Function Grapher
Matching garabola to equation
Illuminations Lesson Hanging Chains
Graph, Domain, and Range of Common Functions
Total for this unit = 4
days
Factoring Polynomials Total
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
All.1h Factor polynomials by applying general patterns including difference of square, sum, & difference of cubes, & perfect square trinomials. All.1i Factor polynomials completely over the integers. All.1j Verify polynomial identities including the difference of square, sum, & difference of cubes, & perfect square trinomials.
5-4
6-4
ESS All.1hi Factoring
for this unit = 4
days
Solving Quadratic Equations by Factoring
All.7a Identify the domain, range, zeros, & intercepts of a function presented algebraically & graphically. All.8a Describe the relationship among solutions of an equation, zeros of a function, x-intercepts of a graph, & factors a polynomial expression. All.8b Define a polynomial function, given its zeros. All.8c Determine a factored form of a polynomial expression from the x-intercepts of the graph of its corresponding function.
5-5
ESS All.8abc Factors Zeros & Solutions
Finding the Domain and Range of a Function from a graph
NLVM Function Grapher
Total for this unit = 4
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
All.8d For a function, identify zeros of multiplicity greater than 1 and describe the effect of those zeros on the graph of the function.
Complex Numbers System
All.1d Simplify radical expressions containing positive rational numbers & variables. All.3a Recognize that the square root of -1 is represented as i. All.3b Determine which field properties apply to the complex number system. All.3c Simplify radical expressions containing negative rational numbers & express in a + bi form. All.3d Simplify powers of i. All.3f Place the following sets of numbers in a hierarchy of subsets: complex, pure, imaginary, real, rational, irrational, integers, whole, & natural. All.3g Write a real number in a + bi form
p. 262
5-6
ESS All.3a-h Complex Numbers
Operations with Complex Numbers Ti-83
Arithmetic Operations with complex numbers from vectors
Total for this unit = 3
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
All.3h Write a pure imaginary number in a + bi form
Solving Quadratic Equations
All.4b Solve a quadratic equation over the set of complex numbers using an appropriate strategy. All.4c Calculate the discriminant of a quadratic equation to determine the number of real & complex solutions. All.7a Identify the domain, range, zeros, & intercepts of a function presented algebraically & graphically. All.8a Describe the relationship among solutions of an equation, zeros of a function, x-intercepts of a graph, & factors of a polynomial expression. All.8e Given a polynomial equation, determine the number of real solutions & non-real solutions. All.4h Recognize that the quadratic formula can be derived by apply the completion of squares to a quadratic equation in standard form.
5-7
5-8
Finding the Domain and Range of a Function from a graph
NLVM Function Grapher
Illuminations Activity Completing the Square
Solve Quadratic Equations Graphically
The Discriminant calculator
The discriminant and roots of quadratic
Total for this unit = 4
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Solving Non-Linear Systems
All.5a Predict the number of solutions to a nonlinear system of 2 equations. All.5b Solve linear-quadratic system of 2 equations algebraically & graphically. All.5c Solve a quadratic-quadratic system of 2 equations algebraically & graphically.
p. 577
ESS All.5abc Nonlinear Systems of Equations
Function Grapher
Illuminations Pan Balance with expressions
Total for this unit = 2
days
High Order Polynomials
All.7e Describe the end behavior of a function. All.9e Given a set of data, determine the model that would best describe the data. All.9c Find an equation for the curve of best fit for data, using a graphing calculator. Models will include polynomial, exponential, & logarithmic functions.
p. 306 6-1
Illuminations Lesson Shrinking Candles
ESS All.7avce f(x)s: Domain Range End Behavior
Activity: page 300 text
NVLM Block Patterns curve of best fit
Total for this unit = 2
days
Simplifying Radicals
All.1d Simplifying radical expressions containing
7-1
Total for this unit = 5
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
positive rational numbers & variables All.1g x and ÷ radical expressions not requiring rationalizing the denominators. All.1f + and – radical expressions
7-2
7-3
days
Radical Equations
All.1e Convert from radical notation to exponential notation, & vice versa. All.4e Solve an equation containing a radical expression algebraically & graphically.
7-4
7-5
NLVM Function Grapher
Total for this unit = 4
days
Radical Functions
All.6a Recognize graphs of parent functions. All.6b Given a transformation of a parent function, identify the graph of transformed function. All.6c Given the equation & using a transformation approach, graph a function. All.6d Given the graph of a function, identify the parent function. All.6e Given the graph of a function, identify the
7-8
NLVM Graphing Function Transformations
NLVM Function Grapher
Graph, Domain and Range of Common Functions
Total for this unit = 4
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
transformations the map the pre-image to the image in order to determine the equation of image. All.6f Using a transformational approach, write the equation of a function given its graph
Direct, Inverse, and Joint Variation
All.10a Translate “y varies jointly as x and z” as y = kxz All.10b Translate “y is directly proportional to x” as y = kx All.10c Translate “y is inversely proportional to x” as y = k/x All.10d Given a situation, determine the value of the content of proportionally. All.10e Set up & solve problems, including real- world problems, involving inverse variation, joint variation, & a combination of direct & inverse variations.
2-3
9-1
9-2
Variation activity with Ti-83
Illuminations Lesson Inverse Variation
Total for this unit = 2
days
Rational Functions
All.7a Identify the domain, range, zeros, &
9-3
Finding the Domain and Range of a Function from
Total for this unit = 4
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
intercepts of a functions presented algebraically & graphically. All.7b Describe restricted/discontinued domains & ranges. All.7c Given the graph of a function, identify intervals on which the function is increasing & decreasing. All.7d Find the equation of vertical & horizontal asymptotes of functions. All.7e Describe the end behavior of a function.
a graph
Illuminations Lesson Domain Representations
NLVM Function Grapher
Rational Functions graphs, asymptotes, and holes
Graph, domain and Range of Common Functions
Illuminations lesson Whelk-Come
days
Flex days/Remediation
2 days
Grading Period: 4th Nine Weeks Total Days to Teach = 43 days
SOL & Enabling Objective: Description
Text
Recommended Activities
Time
Frame
Simplifying Rational Expressions
All.1a +, -, x, ÷ rational algebraic expressions.
9-4
ESS All.1abc Rational Expressions
Total for this unit = 5
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
All.1b Simplify a rational algebraic expression w/ common monomial or binomial factors. All.1c Recognize a complex algebraic fraction, & simplify it as a quotient or product of simple algebraic fractions.
9-5
days
Solving Rational Equations
All.4d Solve equations containing rational algebraic expressions w/ monomial or binomial denominators algebraically & graphically.
9-6
ESS All.4df Rational Equations
NLVM Function Grapher
Total for this unit = 4
days
More Regression Equations
All.9c Find an equation for the curve of best fit for data, using a graphing calculator. Models will include polynomial, exponential, & logarithmic functions. All.9d Make predictions, using data, scatterplots, or the equation of the curve of best fit. All.9e Give a set of data, determine the model that would best describe the data. All.6a Recognize graphs of parent functions.
8-1
8-2
Illuminations Lesson Finding f(x)s with regression
Illuminations Lesson Paying for Wheels
NLVM Block patterns curve of best fit
Graphing exponential functions with asymptote, domain, and range
Transformation activity exponential & absolute
value
Total for this unit = 5
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
All.6b Given a transformation of a parent function, identify the graph of the transformed function. All.6c Given the equation & using a transformation approach, graph a function. All.6d Given the graph of a function, identify the parent function. All.6e Give the graph of a function, identify the transformations that map the pre-image to the image in order to determine the equation of the image. All.6f Using a transformational approach, write the equation of a function given its graph.
NLVM Graphing Function Transformations
NLVM Function Grapher
EggMath Embryo Exponential explanation
Exponential penny growth word problems
Functions and their Inverses
All.7f Find the inverse of a function. All.7g Graph the inverse of a function as a reflection across the line y=x.
8-3
(8-4)
Drawing an Inverse
Illuminations Lesson Counting Trains
Total for this unit = 5
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
All.7h Investigate exponential & logarithmic functions, using the graphing calculator.
Graph Domain and Range of Common Functions
EggMath Embryo exponential explanation
Solving Logarithmic Equations
All.7 Convert between logarithmic & exponential forms of an equation w/ bases consisting of natural numbers.
8-5
Frogger game with log expressions
Total for this unit = 2
days
Sequences and Series
All.2a Distinguish between a sequence & a series All.2b Generalize patterns in a sequence using explicit & recursive formulas.
All.2c Use & interpret the notations All.2d Given the formula, find (the nth term) for an arithmetic or a geometric sequence. All.2e Given formulas, write the first n terms and
find the sum, of the first n terms of of an arithmetic or a geometric sequence. All.2f Given the formulas, find the sum of a convergent infinite series.
11-2
11-4
11-3
11-5
ESS All.2abcde Arith & Geo Sequence & Series
NLVM Function Machine explicit & recursive definitions
Illuminations Activity Sums infinite series
Geometric Series and sum calculations
Visualizing an infinite series
Total for this unit = 3
days
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Normal Curve
All.11a Identify the properties of a normal probability distribution. All.11b Describe how the standard deviation & mean affect the graph of the normal distribution. All.11c Compare 2 sets of normally distributed data using a standard normal distribution & z- scores All.11d Represent probability as area under the curve of a standard normal probability distribution. All.11e Use the graphing calculator or a standard normal probability table to determine probabilities or percentiles based on z- scores.
12-3 12-4 12-7
Illuminations activity data Grapher
Illuminations activity sampling distribution
Illuminations lesson do I have to mow whole thing?
Illuminations Activity Histograms
Properties of the normal distribution curve
Total for this unit = 3
days
Permutations & Combinations All.12a Compare & contrast permutations &
6-7
Permutation braid
Total for this unit = 2
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
combinations. All.12b Calculate the number of permutations of n objects taken r at a time. All.12c Calculate the number of combinations of n objects taken r at a time. All.12d Use permutations & combinations as counting techniques to solve real-world problems.
days
POST-TEST (for Teacher Evaluation & School Improvement – use same test as PRE-TEST
1 day
SOL Review & Testing:
11 Days
Final Exam Review & Testing
2 days
RECOMMENDED WEBSITES for additional lesson plans, activities, virtual manipulatives, and applets:
Illuminatinos_NCTM Henrico Algebra 1 Resources Algebra 1 resources Algebra Bits
Project interactive Suffolk Algebra 1 Resources Texas Instruments Activities
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
National Library of Virtual Manipulatives NVLM Florida lesson plans Jefferson Lab Sol Review
Henrico Algebra 2 Resources
Suffolk Algebra 2 Resources
Algebra 1: Math Cross Walk 2001 and 2009 SOLs
Changes to the reporting categories for Algebra 1 sol test: Now there are 3 reporting categories instead of 4. Relations & functions and statistics
have been combined into 1 strand. Also, the Algebra 1 Formula Sheet has been revised.
2001 2009
Reporting Category 2009 SOL # items % of test # of items % of test
Expressions & Operations
A.1, A.2a-c, A.3 12 24% 12 24%
Equations & Inequalities
A.4a-f, A.5a-d, A6 a-b
18 36% 18 36%
Functions & Statistics
A.7a-f, A.8, A.9, A.10, A.11
20 40% 20 40%
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
Algebra 1 and Algebra 2 Petal Pacing Guide
Lynchburg City Schools 2013-2014
Curriculum Framework Algebra 1 VDOE: SOL Instructional Materials Curriculum Framework Algebra II Teacher Direct
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