Download 2016-17 Algebra 1 - Pacing Guide Final

Algebra 1- Pacing Guide 2016-2017
Teacher Name ___________________
Pd _____
This Pacing Guide is a suggestion for you to use “as a guide”. Each class should progress at its’ own pace. Although there are a few quizzes listed
in the pacing guide, teachers SHOULD quiz students as needed to check for understanding.
Lesson Plans are located in the Lesson Plan Bank on SharePoint: http://sharepoint.leon.k12.fl.us/math/default.aspx
1st 9-weeks - There are 47 teaching days
Labor Day Holiday
Fall Holiday
8/15/16 – 10/20/16
9/5/16
10/12/16
Baseline Progress Monitoring Test
This test should ONLY take 1 day.
Lessons – Pearson Algebra 1
Math Florida Standards
1
Benchmarks
http://web.algebranation.com/ - Algebra 1
Look at the study guides and videos – you may want to use some of them
as your lesson or as supplements to your lesson.
The test is paper and pencil, but you will scan the bubble sheets through Data
Director to score the Baseline.
MAFS.912.
Days/
Dates
1-1 Variables and Expressions
A-SSE.1.1.a
1
1-2 Order of Operations and Evaluating
Expressions
A-SSE.1.1.a
2
8-1 Adding and Subtracting Polynomials
A.APR.1.1
2
1-3 Real Numbers and the Number Line
No calculator
NOTE: students should KNOW the perfect
square numbers through 12² and perfect
cubic numbers through 6³
1-4 Properties of Real Numbers
Rational and Irrational Numbers
No calculator
N-RN.2.3
1
N-RN.2.3
1
1-5 Adding and Subtracting Real Numbers
No calculator
N-RN.2.3
1
1-6 Multiplying and Dividing Real Numbers
No calculator
N-RN.2.3
1
Learning Target:
“Students will be able to…”
Homework Assignment
Teacher Notes
Write expressions to represent real-life situations
where variables are used
Simplify expressions using the correct order of
operations
Section 1 – Video 1
Relate the addition and subtraction of integers to the
addition and subtraction of polynomials (combining
like terms).
Classify numbers by their subsets and organize
numbers on a number line
Section 1 – Video 4
and Video 5
Strengthen knowledge on rational/irrational number
and their representation
Section 5 – Video 5
Write algebraic proofs using properties. Students will
understand that the sum or product of two rational
numbers is rational; that the sum of a rational number
and an irrational number is irrational; and that the
product of a nonzero rational number and an irrational
number is irrational.
Students will apply the properties of operations to
simplify numbers.
Students will apply the properties of operations to
simplify numbers
Properties – Section 2 –
Video 2 – Part 1
1-7 The Distributive Property
A-SSE.1.1.a
1
Benchmarks
Days/
Dates
Use the Distributive Property to Simplify Expressions
Rewrite algebraic expressions in different equivalent
forms using the Distributive Property.
Section 1 – Video 2
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
2-1 -Solving One-Step Equations
2-2 -Solving Two-Step Equations
2-3 -Solving Multi-Step Equations
2-4 -Solving Equations With Variables on
Both Sides
2-5 -Literal Equations and Formulas
2-7 -Solving Proportions
MAFS.912.
A-CED.1.1
A-REI.2.3
A-CED.1.1
A-REI.1.1
A-REI.2.3
A-REI.1.1
A-REI.2.3
A-CED.1.1
A-CED.1.1
A-REI.1.1
A-REI.2.3
N-Q.1.1
A-CED.1.1
A-CED.1.4
Learning Target:
“Students will be able to…”
Homework Assignment
Teacher Notes
Model, solve and graph one-step equations and
inequalities
Model, solve and graph two-step equations and
inequalities
Section 2 – Video 2
and Video 3
2
Students will be able to model and solve multi-step
equations.
Section 2 – Video 2
and Video 3
1
Solve equations with variables on both sides
Section 2 – Video 2,
Video 3 and Video 9
1
Solve linear equations in one variable.
Section 2 – Video 10
2
1
Section 2 – Video 2
and Video 3
Re-arrange formulas to highlight quantity of interest
using the same reasoning as in solving equations.
Create equations in one variable and use them to
solve problems
Solve proportions with real world applications
N.Q.1.1
A.CED.1.1
A.REI.2.3
1
Benchmarks
MAFS.912.
Days/
Dates
Learning Target:
“Students will be able to…”
3-1 -Inequalities and Their Graphs
A.REI.2.3
2
3-2 -Solving One-Step Inequalities
Using Addition and Subtraction
A.CED.1.1
A.REI.2.3
2
Students will graph the solutions of inequalities on the
number line
Students will write, model, and solve one-step
equations
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
Homework Assignment
Teacher Notes
Section 2 – Video 4
N.Q.1.2
A.CED.1.1
A.REI.2.3
1
3-4 -Solving Multi-Step Inequalities
A.CED.1.1
A.REI.2.3
A.CED.1.1
A.REI.2.3
1
A.SSE.1b
A.CED.1.1
1
Benchmarks
MAFS.912.
Days/
Dates
F-IF.2.5
1
Graph functions using tables.
Section 3 – Video 1
N.Q.1.2
A.SSE.1.1a
A.CED.1.2
F.IF.1.1
F.IF.1.2
2
Section 4 – Video 2,
Video 5 – Part 1
and Video 6 – Part 2
A.SSE.1.1
F.IF.1.3
F.BF.1.1a
F.BF.1.2
F.LE.1.2
2
Write Equations that represent functions.
Write and interpret a function rule; understanding its
parts such as the terms, factors, and coefficients.
Determine whether a relation is a function.
Use the definition of a function to determine if a
relationship is a function, given tables, graphs,
mapping diagrams, or sets of ordered pairs.
Find the domain and range and use function notation.
Identify and extend patterns in sequences
3-6 -Compound Inequalities
3-7 -Absolute Value Equations and
Inequalities
Review
2
Students will solve inequalities by using multiplication
or division and will be able to distinguish the different
steps to take when multiplying or dividing a negative
number
Students will be able to model and solve multi-step
inequalities.
Solve and graph inequalities containing the word and
Section 2 – Video 4
3-3 -Solving Inequalities
Using Multiplication or Division
Solve and graph inequalities containing the word or
Solve equations and inequalities involving absolute
value
Section 2 – Video 4
Section 2 – Video 5
Section 2 – Video 7
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
4-4 – Graphing a Function Rule
4-5 -Writing a Function Rule
4-6 -Relations and Functions
4-7 -Arithmetic Sequences
2
Learning Target:
“Students will be able to…”
Represent arithmetic sequences using function
notation.
Review
Assessment
Teachers should be here by the end of the 1st 9-weeks
Teacher Planning Day
2nd 9-weeks -- There are 33 teaching days and
3 exam days / Early Release Days
10/21/16
10/24/16 – 12/16/16
Homework Assignment
Teacher Notes
Section 4 – Video 1
Veteran’s Day
11/11/16
Thanksgiving Holiday
11/23/16 – 11/25/16
Middle School Exams – Mid-Year Progress Monitoring
12/14/16
Test - (Early Release Days)
12/15/16 & 12/16/16
Benchmarks
Lessons – Pearson Algebra 1
Days/
Learning Target:
MAFS.912.
Math Florida Standards
Dates
“Students will be able to…”
Homework Assignment
Teacher Notes
5-1 Constant Rates of Change/ Slope
Section 3 – Video 2
5-3 -Linear Equations in Slope-Intercept
Form
5-4 -Linear Equations in Point-Slope Form
5-5 -Linear Equations in Standard Form
5-6 -Parallel and Perpendicular Lines
Tested in Geometry
F.IF.2.6
F.LE.1.1b
2
A.SSE.1.1a
A.SSE.1.2
A.CED.1.2
F.IF.2.4
F.IF.3.7.a
F.BF.1.1a
F.BF.2.3
F.LE.1.2
F.LE.2.5
A.SSE.1.1a
A.SSE.1.2
A.CED.1.2
F.IF.2.4
F.IF.3.7.a
F.BF.1.1a
F.BF.2.3
F.LE.1.2
F.LE.2.5
N.Q.1.2
A.SSE.1.1A.
SSE.1.2
A.CED.1.2,
F.IF.2.4
F.IF 3.7.a
F.IF.3.9
F.BF.1.1a
F.LE.1.2
F.LE.2.5
G.GPE.2.5
2
1
Students will calculate the average rate of change of a
continuous function that is represented algebraically,
in a table of values, on a graph, or as a set of data.
Identify slope-intercept form equations and write
linear equations in slope-intercept form
Students will be able to create equations in two
variables to represent relationships between
quantities.
Students will be able to rewrite a linear equation in
point-slope form.
2
OPTIONAL
Identify standard form equations and write linear
equations in standard form
Determine whether lines are parallel, perpendicular,
or neither.
Section 3 – Video 3
6-5 -Linear Inequalities
A.REI.4.12
1
Write equations of parallel lines and perpendicular
lines.
Students will identify the solution set to a linear
inequality.
Section 3 – Video 7
Students will identify the graph that represents a
linear inequality.
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
Benchmarks
MAFS.912.
Days/
Dates
6-1 -Solving Linear Systems by Graphing
A.REI.3.6
2
6-2 -Solving Linear Systems Algebraically:
Using Substitution
A.REI.3.6
2
6-3 -Solving Linear Systems Algebraically:
Using Elimination
A.REI.3.5
A.REI.3.6
2
6-4 -Applications of Linear Systems
N.Q.1.2
N.Q.1.3
A.CED.1.3
A.REI.3.6
A.REI.4.12
3
Students will write constraints for real-world context
using a system of equations and interpret the solution
of a real-world context as viable or not viable.
2
Solve systems of linear inequalities by graphing the
solutions to a linear inequality in two variables as a
half-plane, and graph the solution set to a system of
linear inequalities in two variables as the intersection
of the corresponding half-planes.
6-6 -Systems of Linear Inequalities
Learning Target:
“Students will be able to…”
Students will graph a system of equations that
represents a real-world context using appropriate axis
labels and scales and be able to recognize the
intersection of that system as the solution
Students will provide steps in an algebraic proof that
shows one equation being replaced with another to
find a solution for a system of equations.
Students will identify systems whose solutions would
be the same through examination of the coefficients.
Homework Assignment
Teacher Notes
Section 3 – Video 4
Section 3 – Video 4
Section 3 – Video 5 and
Video 6
Section 3 – Video 8
Model real-world situations using systems of linear
inequalities.
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
Benchmarks
MAFS.912.
Days/
Dates
Learning Target:
“Students will be able to…”
Homework Assignment
Teacher Notes
Parent Functions
F.IF.2.4
N.Q.1.1
A.REI.4.10
2-3
Identify graphs of functions.
Interpret key features of graphs and tables in terms of
the quantities; which include: intercepts; intervals
where the function is increasing, decreasing, positive,
or negative; relative maximums and minimums;
symmetries; end behavior; and periodicity.
(Linear, Quadratics, Absolute Value,
Exponential, Square Root)
Transformations of Linear
Functions - Section 4 –
Video 7
Transformations of
Quadratics - Section 7 –
Video 4
Identify and represent patterns that describe linear
and nonlinear functions.
Transformations of
Exponentials– Section 8 –
Video 7
Graph equations that represent functions.
Piecewise Functions –
Section 4 - Video 8
Graph and translate graphs of square root, cube root,
absolute value, exponential, and piecewise-defined
functions.
Identify transformation effects on parent functions
Modeling Linear Section 9 – Video 3
Modeling Quadratic –
Section 9- Video 4
Modeling Exponential –
Section 9 - Video 5
Graphs of Functions (Linear,
Absolute Value, Quadratic,
Square Root, Exponential
and Piecewise Graphs)
Section 4 – Video 6
9-7 -Linear, Quadratic, and Exponential
Models of Functions
F.IF.2.4
F.BF.1.1b
F.LE.1.1.a
F.LE.1.2
F.LE.1.3
S.ID.2.6.a
2
Identify the linear, exponential, and quadratic
functions from tables, graphs, and real-life scenarios
Review
Assessment
Semester Exams – Early Release Days
Mid-Year Progress Monitoring Test
Winter Holidays
rd
3 9-weeks -- There are 47 teaching days.
Teacher Planning Day
Martin Luther King Day
12/14/16 & 12/15/16
12/16/16
12/17/16 – 1/2/17
1/4/17 – 3/10/17
1/3/17
1/16/17
Section 9 – Video 1
and Video 2
Lessons – Pearson Algebra 1
Math Florida Standards
Benchmarks
MAFS.912.
Days/
Dates
Learning Target:
“Students will be able to…”
7-1 - Zero and Negative Exponents
N.RN.1.1
N.RN.1.2
1
7-2 -Multiplying Powers with the Same Base
N.RN.1.1
1
7-3 –More Multiplication Properties of
Exponents
N.RN.1.1
1
Simplify expressions involving zero and negative
exponents.
Use the properties of exponents to rewrite
expressions; including expressions with rational
exponents, rewriting them as radical expressions and
vice versa.
Multiply powers with the same base.
Use the properties of exponents to rewrite
expressions multiplication of the same base with a
power occurs
Raise a power to a power.
7-4 -Division Properties of Exponents
N.RN.1.1
1
Raise a product to a power.
Use the properties of exponents to rewrite
expressions where multiplication is being used.
Divide powers with the same base.
Homework Assignment
Teacher Notes
Section 5 – Video 1
Raise a quotient to a power.
7-6 -Exponential Functions
7-7 -Exponential Growth and Decay
Identifying a Recursive Process (sequence,
graph, table)
7-8 -Geometric Sequences
A.SSE.1.1
A.CED.1.2
A.REI.4.11
F.IF.2.4
F.IF.2.5
F.IF.3.7e
F.IF.3.9
F.LE.1.2
A.SSE.1.1a
F.IF.1.3
F.BF.1.1a
F.BF.1.2
F.LE.1.2
F.LE.2.5
2
A.SSE.1
A.SSE.1a
F.IF.1.3
F.BF.1
1
Use the properties of exponents to rewrite
expressions where division is being used.
Evaluate and graph exponential functions.
Section 8 – Video 3
and Video 4
Determine and relate the key features of a function
within a real-world context by examining the
function’s table, equation, or graph.
2
Solve equations that contain exponential expressions
by hand through use of the exponential properties.
Construct exponential functions (geometric
sequences), given a graph, a description of a
relationship, or two input-output pairs (including
reading from a table).
Write and use recursive formulas for geometric
sequences
Section 8 – Video 5
Section 8 – Video 1
F.BF.1a
F.BF.2
F.LE.2.1
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
8-2 -Multiplying and Factoring Polynomials
Benchmarks
MAFS.912.
Days/
Dates
Learning Target:
“Students will be able to…”
A.APR.1.1
Multiply a monomial by a polynomial.
8-3 -Multiplying Binomials
A.APR.1.1
8-4 -Multiplying Special Cases
A.APR.1.1
Factor a monomial from a polynomial.
Relate the addition, subtraction, and multiplication of
integers to the addition, subtraction, and
multiplication of polynomials with integral coefficients
through application of the distributive property.
Multiply two binomials or a binomial by a trinomial
Relate the addition, subtraction, and multiplication of
integers to the addition, subtraction, and
multiplication of polynomials with integral coefficients
through application of the distributive property.
Find the square of a binomial.
3
1
Homework Assignment
Teacher Notes
Section 1 – Video 6
Find the product of a sum and difference.
8-5 -Factoring Quadratics
𝒙𝟐 + 𝒃𝒙 + 𝒄
8-6 -Factoring Quadratics
𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄
A.SSE.1.1a
A.SSE.1.1a
A.SSE.1.1b
1-2
1-2
Find the pattern of multiplying polynomials in special
cases.
Factor trinomials of the form:
x2 + bx + c
Rewrite quadratic expressions (where the value of “a”
when written in standard form is 1) in different
equivalent forms using factoring techniques.
Factor trinomials of the form:
ax2+bx+c
Section 6 – Video 4
Section 6 – Video 4
Rewrite quadratic expressions (where the value of “a”
when written in standard form is NOT 1) in different
equivalent forms using factoring techniques.
8-7 -Factoring Special Cases
A.SSE.1.1a
A.SSE.1.1b
A.SSE.1.2
1
Factor perfect-square trinomials and the differences of
two squares.
Section 6 – Video 6
8-8 -Factoring by Grouping
A.SSE.1.1.a
A.SSE.1.1.b
A.SSE.1.2
2
Benchmarks
Days/
Dates
Rewrite quadratic expressions using factoring
techniques for the difference of squares and the sum
of difference of two cubes.
Factor higher order degree polynomials by grouping.
Rewrite algebraic expressions using factoring
techniques for polynomials with 4+ terms using the
grouping of terms with common factors technique.
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
9-1 -Quadratic Graphs and Their Properties
9-3 -Solving Quadratic Equations
(Solutions, Intercepts, Zeros)
9-4 -Factoring to Solve Quadratic Equations
9-5 -Completing the Square
Vertex Form
9-6 -The Quadratic Formula and the
Discriminant
MAFS.912.
A.SSE.1.1
A.CED.1.2
F.IF.2.4
F.IF.2.5
F.IF.3.7a
F.IF.3.7b
F.BF.2.3
2
N.Q.1.2
A.CED.1.1
A.CED.1.4
A.APR.2.3
A.REI.2.4.b
A.SSE.2.3.a
A.CED.1.1
A.F.IF.3.8a
A.REI.2.4.b
N.Q.1.3
A.SSE.1.1.a
A.SSE.1.1.b
A.SSE.2.3
A.CED.1.1
A.REI.1.1
A.REI.2.4.a
A.REI.2.4.b
A.SSE.1.1
N.Q.1.3
2
1
2
1-2
Learning Target:
“Students will be able to…”
Graph quadratic functions of the form:
y =ax2
y=ax2 + c
Identify the key features of a parabola; these include:
the zeros, intercepts, intervals (where the function is
increasing or decreasing, positive or negative), the
vertex (relative maximums and minimums),
symmetries, end behavior, and periodicity.
Solve quadratic equations by graphing and using
square roots.
Solve quadratic equations and identify that solution as
a key feature on the graph in other terms such as its
zeros and/or intercepts.
Solve quadratic equations by factoring
Homework Assignment
Teacher Notes
Section 7 – Video 1
Section 7 – Video
Section 2 – Video 8
Convert quadratic functions from standard form to
vertex form using the “completing-the-square”
technique
Section 6 – Video 8
Solve quadratic equations using the quadratic formula
Section 7 – Video 5
Section 7 – Video 3
A.CED.1.1
A.REI.2.4.a
A.REI.2.4.b
Find the number of solutions of a quadratic equation
Section 6 – Video 2
Recognize that the quadratic formula can be used to
find complex solutions.
Solve quadratic equations by inspection (e.g. x² = 49),
taking square roots
9-7 -Systems of Linear and Quadratic
Equations
*HONORS ONLY*
Review
Derive the quadratic formula
Solve systems of linear and quadratic equations
A.REI.3.7
A.REI.4.11
1
Benchmarks
Days/
Dates
Learning Target:
“Students will be able to…”
N.Q.1.1
S.ID.1.1
N.Q.1.2
S.ID.1.2
S.ID.1.3
1
N.Q.1.1
S.ID.1.1
S.ID.1.2
2
Represent data with plots on the real number line (dot
plots, histograms, and box plots)
Use statistics appropriate to the shape of the data
distribution to compare center (median, mean) and
spread (interquartile range, standard deviation) of two
or more different data sets
Make and interpret box and whisker plots.
Find quartiles and percentiles.
To identify within and create box-and-whiskers plots
the shape of the data distribution to compare center
and spread (interquartile range) of two or more
different data sets.
N.Q.1.1
F.LE.2.5
S.ID.1.6.a
S.ID.2.6.c
S.ID.3.7
S.ID.3.8
S.ID.3.9
1
Benchmarks
Days/
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
12-2 -Frequency and Histograms
12-3 -Measures of Central Tendency and
Dispersion
12-4 -Box-and-Whisker Plots
5-7 -Scatter plots and Trend Lines
Residuals
MAFS.912.
2
Homework Assignment
Teacher Notes
Section 10 – Video 1
Section 10 – Video 3
and Video 4
Section 10 – Video 2
Section 11 – Video 3
Represent data on two quantitative variables on a
scatter plot, and describe how the variables are
related. They will fit a linear function for a scatter plot
that suggests a linear association and distinguish
between causation and correlation
Section 11 – Video 4
Review
Assessment
Lessons – Pearson Algebra 1
Learning Target:
Homework Assignment
MAFS.912.
Dates
10-2 -Simplifying Radicals
Math Florida Standards
A.REI.1.2
1
Simplify radicals involving products and quotients
“Students will be able to…”
10-3 -Operations with Radical Expressions
A.REI.1.2
1
Simplify sum and differences of radical expressions
10-1 -Pythagorean Theorem
Tested in Geometry
G.SRT.3.8
OPTIONAL
Solve problems using the Pythagorean theorem
7-5 -Rational Exponents and Radicals
N.RN.1.2
2
Identify right triangles
Write expressions involving radicals and rational
exponents
Benchmarks
MAFS.912.
Days/
Dates
11-1 -Simplifying Rational Expressions
A.APR.4.7
2
Simplify rational expressions.
11-2 -Multiplying and Dividing Rational
Expressions
A.APR.4.7
2
Multiply and Divide rational expressions.
11-3 -Dividing Polynomials
A.APR.4.6
2
HONORS
ONLY
Teacher Notes
Section 5 – Video 2
Review
Assessment
Lessons – Pearson Algebra 1
Math Florida Standards
Tested in Algebra 2
Review
Learning Target:
“Students will be able to…”
Simplify complex fractions.
Divide Polynomials
Assessment
Spring Break
Teacher Planning Day
4th 9-weeks Dates - There are 47 teaching days and 3
Exam / Early Release Days
Middle School Exams (Early Release Days)
3/13/17 – 3/17/17
3/20/17
3/21/17 – 5/30/17
5/25/17 & 5/26/17
5/30/17
Homework Assignment
Teacher Notes