Unit - Leona QSI Math Site

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LEONA QSI Curriculum Map
2013-2014
Teacher:
Course Group: Algebra 1
Pre-Requisites: Algebra 1A
Course: Algebra 1B
Department: Math
Grade(s): 9-12
Unit
CCSS Standards
= Major □ = Supporting ○= Additional
Unit 4 (8 days)
Intro to Functions
Patterns
Arithmetic
Sequences
□N-Q.1, □N-Q.2, □N-Q.3,
A-SSE.1a,
A-SSE.1.b, A-SSE.2, A-CED.1, ACED.3, A-CED.4, A-REI.1, A-REI.3
A-CED.2
A-REI.10
Interpreting Graphs
A-REI.11
Intro to Functions
F-IF.1
Graphing Functions
F.-IF.2
F-IF.3
F-IF.4
F-IF.5
□F-IF.7a,b,c,e
Core Content
(High School Standards)
Identify the structure of
patterns and represent the
pattern with an expression.
Understand and construct
arithmetic sequences in
appropriate notation
Interpret graphs in relation to
a context, and represent a
situation graphically
Represent constraints of
domain and range Explain the
meaning of slope, x-intercepts,
and y intercepts in relation to a
context.
Identify families of graphs
based on attributes. ( linear,
quadratic, exponential)
□F-IF.9
Compare attributes of families
of graphs
□F-BF.1a
Make conclusions about
graphs in relation to a context.
F-BF.2
Graph a situation based on
given data, table, or function.
Construct Viable Arguments
Critique Solutions
○F-BF.3
□F-LE.1a, b, c, □F-LE.2
□F-LE.3
Evaluate Reasonableness of
Solutions
Assessment
Formal
Pre Test
Quiz
Unit Test
Resources
Identifying Patterns
http://illuminations.nctm.org/LessonDetail.aspx?id=L881
Patterns Activity http://insidemathematics.org/problems-ofthe-month/pom-growingstaircases.pdf
Dan Meyer: Pixel Pattern
http://threeacts.mrmeyer.com/pixelpattern/
In Formal
Checking for Understanding
Questioning
Completion of
Project/Activity/Assignment
Summarization of Learning
Daily Exit Slip
http://visualpatterns.org/
Using patterns to write expressions: Chris Shore: Pig Pen
Algebra. See Appendix A
Graphing Patterns
http://www.shodor.org/interactivate/lessons/IntroArithmetic/
Identifying Types of Functions based on data
http://illuminations.nctm.org/LessonDetail.aspx?id=L300
Dan Meyer: 25 Billion Apps
http://threeacts.mrmeyer.com/25billionapps/
Piecewise Functions
http://www.shodor.org/interactivate/lessons/ImpossibleGraphs
/
Domain and Range Lesson
http://thescamdog.wordpress.com/2012/10/26/domain-andrange-lesson/
https://app.box.com/s/cpd2ayhuxblhyaljyy7v
Vertical Line Test
http://www.shodor.org/interactivate/lessons/VerticalLineTest/
Comparing Linear to Quadratic Functions
http://insidemathematics.org/common-core-math-tasks/highschool/HS-F-2007%20Graphs2007.pdf
Matching Functions Equations, Tables, Graphs
http://insidemathematics.org/common-core-math-tasks/highschool/HS-F-2008%20Sorting%20Functions.pdf
Various Functions
http://illuminations.nctm.org/LessonDetail.aspx?ID=L768
Functions in Everyday Situations
http://map.mathshell.org/materials/lessons.php?taskid=430&su
bpage=concept
LEONA QSI Curriculum Map
2013-2014
Teacher:
Course Group: Algebra 1
Pre-Requisites: Algebra 1A
Course: Algebra 1B
Department: Math
Grade(s): 9-12
Unit
CCSS Standards
= Major □ = Supporting ○= Additional
□F-LE.5
Mathematical Practices
MP.1-8
Core Content
(High School Standards)
Assessment
Resources
Comparing Key Components of Linear Equations
http://illuminations.nctm.org/LessonDetail.aspx?id=L629
Graphing Stories http://www.graphingstories.com/
Desmos Calculator
https://www.desmos.com/calculator
Sample Task Items:
http://www.illustrativemathematics.org/standards/hs
LEONA QSI Curriculum Map
2013-2014
Teacher:
Course Group: Algebra 1
Pre-Requisites: Algebra 1A
Course: Algebra 1B
Department: Math
Grade(s): 9-12
Unit
CCSS Standards
= Major □ = Supporting ○= Additional
Unit 5 (12 days)
Linear Functions
Rate of Change &
Slope
Direct Variation
□N-Q.1, □N-Q.2, □N-Q.3,
A-SSE.1.b,
CED.3,
F-IF.1,
A-SSE.2,
A-CED.4,
F.-IF.2,
Make conclusions about
graphs in relation to a context.
A-SSE.1a,
A-CED.1, A-
A-REI.1,
F-IF.4,
A-REI.3
,
F-IF.5, □F-
IF.9, □F-BF.1a, ○F-BF.3
A-CED.2
Slope-Intercept
Form
A-REI.10
Point-Slope Form
A-REI.12
Standard Form
Applications of
Equations
F-IF.6
Core Content
(High School Standards)
□F-IF.7a
Parallel and
Perpendicular Lines
□F-LE.1a, b, c, □F-LE.2
Write and Apply
Linear Functions
□F-LE.5
Graphing Linear
Inequalities
G-GPE.5
Application of
Inequalities
Mathematical Practices
MP.1-8
Graph a situation based on
given data, table, or function.
Assessment
Formal
Quiz
Unit Test
Resources
Application of Slope as Rate of Change
http://illuminations.nctm.org/LessonDetail.aspx?id=L668
Direct/Indirect Variation
http://illuminations.nctm.org/LessonDetail.aspx?id=L729
In Formal
Understand and compare the
relationship of direct variation
functions
Compare attributes of linear
graphs in relation to the parent
function f(x) = x
Interpret solutions within a
linear equation with two
variables.
Calculate slope and make
conclusion regarding the slope
in a context or in comparison
to other graphs.
Calculate x and y intercepts
and make conclusions
regarding their meaning in
relation to a context, or in
comparison to other graphs.
Compare and understand the
reasoning for different forms
of linear functions.
Construct linear functions
given specific restraints or
attributes.
Checking for Understanding
Questioning
Completion of
Project/Activity/
Assignment
Summarization of Learning
Daily Exit Slip
Negative Slope Application and Meaningful Intercepts
http://illuminations.nctm.org/LessonDetail.aspx?id=L682
Application of Slope, Coordinates
http://www.thirteen.org/get-the-math/the-challenges/math-invideogames/take-the-challenge/17/
Dan Meyer: Taco Cart
http://threeacts.mrmeyer.com/tacocart/
Chris Shore: tic tacs and kisses
http://mathprojects.com/2012/04/03/tic-tacs-and-kisses/
Chris Shore: Rising Water
http://mathprojects.com/2012/04/03/rising-water/
Chris Shore: Monster Cars
http://mathprojects.com/2012/04/03/monster-cars/
Chris Shore: 4X4 Matching: See Appendix A
Robert Kaplinsky: Speeding Ticket
http://robertkaplinsky.com/work/finland-speeding-ticket/
Slope Intercept Form
http://illuminations.nctm.org/LessonDetail.aspx?ID=L769
Interactive
http://www.classzone.com/cz/books/algebra_1_2011_na/get_c
hapter_group.htm?cin=5&rg=animated_math&at=animations
&npos=2&spos=5&var=animations
Graphing Stories http://www.graphingstories.com/
Desmos Calculator
https://www.desmos.com/calculator
Sample Task Items:
http://www.illustrativemathematics.org/standards/hs
LEONA QSI Curriculum Map
2013-2014
Teacher:
Course Group: Algebra 1
Pre-Requisites: Algebra 1A
Course: Algebra 1B
Department: Math
Grade(s): 9-12
Unit
CCSS Standards
= Major □ = Supporting ○= Additional
Core Content
(High School Standards)
Construct linear functions to
represent a context or
situation.
Identify and compare linear
functions that are parallel and
perpendicular
Construct linear functions
based on parallel and
perpendicular restraints.
Apply understanding of
graphing two variables with
linear inequalities.
Interpret solutions within
regions of inequalities with
two variables.
Construct Viable Arguments
Critique Solutions
Evaluate Reasonableness of
Solutions
Assessment
Resources
LEONA QSI Curriculum Map
2013-2014
Teacher:
Course Group: Algebra 1
Pre-Requisites: Algebra 1A
Course: Algebra 1B
Department: Math
Grade(s): 9-12
Unit
CCSS Standards
= Major □ = Supporting ○= Additional
Unit 6 (10 days)
Systems of Equations
Foundations of
Linear Systems
Solving by
Substitution
Solving by
Elimination
Applications of
Systems
Systems of Linear
Inequalities
□N-Q.1, □N-Q.2, □N-Q.3,
A-SSE.1.b,
CED.3,
F-IF.1,
A-SSE.2,
A-CED.4,
F.-IF.2,
Interpret the solutions to a
system of equations.
A-SSE.1a,
A-CED.1, A-
A-REI.1,
F-IF.4,
A-REI.3
Core Content
(High School Standards)
,
F-IF.5, □F-
IF.9, □F-BF.1a, ○F-BF.3
A-CED.2
○A-REI.5
○ A-REI.6
A-REI.10
A-REI.11
A-REI.12
F-IF.6
□F-IF.7a
Make conclusions relating the
system of equations in relation
to a context.
Solve for a solution to a
system of equations exactly
and approximately using
various methods and
strategies.
Communicate methods for
solving equations and justify
the reasoning.
Identify the constraints of a
solution within a system of
equations or inequalities and
in relation to a context.
Interpret solutions within
regions between systems of
graphed inequalities with two
variables.
Construct Viable Arguments
□F-LE.1a, b, c, □F-LE.2
□F-LE.5
Mathematical Practices
MP.1- 8
Critique Solutions
Evaluate Reasonableness of
Solutions
Assessment
Formal
Quiz
Unit Test
In Formal
Checking for Understanding
Questioning
Completion of
Project/Activity/
Assignment
Summarization of Learning
Daily Exit Slip
Resources
Systems of Equations Graphing
http://illuminations.nctm.org/LessonDetail.aspx?ID=L770
Application Systems of Equations -Cell Phone Plan
http://illuminations.nctm.org/LessonDetail.aspx?id=L780
Interactive
http://www.classzone.com/cz/books/algebra_1_2011_na/get_c
hapter_group.htm?cin=7&rg=animated_math&at=animations
&npos=3&spos=7&var=animations
Dan Meyer: Ditch Diggers
http://threeacts.mrmeyer.com/ditchdiggers/
Dan Meyer: Dueling Discounts
http://threeacts.mrmeyer.com/duelingdiscounts/
Chris Shore: Tortoise and the Hair
http://mathprojects.com/2012/04/03/the-tortoise-and-the-hare/
Chris Shore: Mixture Problems
http://mathprojects.com/2012/04/03/stixture-problems/
Chris Shore: Monster Cars
http://mathprojects.com/2012/04/03/monster-cars/
Desmos Calculator
https://www.desmos.com/calculator
Graphing Stories http://www.graphingstories.com/
Sample Task Items:
http://www.illustrativemathematics.org/standards/hs
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