Download SPI 0806.3.3 Solve and graph linear inequalities in two variables.

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Mathematics wikipedia , lookup

Mathematical model wikipedia , lookup

Addition wikipedia , lookup

History of mathematics wikipedia , lookup

History of mathematical notation wikipedia , lookup

Foundations of mathematics wikipedia , lookup

Ethnomathematics wikipedia , lookup

Algebra wikipedia , lookup

List of important publications in mathematics wikipedia , lookup

Mathematics of radio engineering wikipedia , lookup

Elementary mathematics wikipedia , lookup

System of linear equations wikipedia , lookup

System of polynomial equations wikipedia , lookup

History of algebra wikipedia , lookup

Transcript
Glencoe 8th Grade Mathematics 1st Nine Weeks
2013-2014
Curriculum Coverage in Mathematics for the 2013-14 School Year as Outlined by TNCore (TN transition to Common Core)
The following Dropped SPIs will NOT appear on the 2013-2014 TCAP/EOC Exam.
8th Grade Dropped SPI’s:
SPI 0806.3.3 Solve and graph linear inequalities in two variables.
SPI 0806.4.4 Convert between and within the U.S. Customary System and the metric system.
SPI 0806.4.5 Identify the intersection of two or more geometric figures in the plane.
SPI 0806.5.1 Calculate probabilities of events for simple experiments with equally probable outcomes.
SPI 0806.5.2 Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models).
TNCore recommends the following:
 Stop teaching the dropped SPIs
 Spend 60-75% of the year on the TNCore Focus Clusters listed below (The Focus Clusters are identified in red throughout the map.)
8.EE Understand the connections between proportional relationships,
lines, and linear equations (5, 6)
8.F Define, evaluate, and compare functions (1, 2, 3)
8.EE Analyze and solve linear equations and pairs of simultaneous linear
equations (7, 8)
8.F Use functions to model relationships between quantities (4, 5)
The Standards for Mathematical Practice
MP1. Make sense of problems and
persevere in solving them.
MP5. Use appropriate tools
strategically.
MP2. Reason abstractly and
quantitatively.
MP6. Attend to precision.
MP3. Construct viable arguments and
critique the reasoning of others.
MP7. Look for and make use of
structure.
MP4. Model with mathematics.
MP8. Look for and express regularity
in repeated reasoning.
PARCC
Partnership for Assessment of Readiness for College and Careers (PARCC) committed to developing model content frameworks for mathematics to serve as
a bridge between the Common Core State Standards and the PARCC assessments. The 2013-14 school year is the final year to prepare for the PARCC
assessment, which will replace TCAP/EOC in 2014-15. Constructed Response Assessments (CRA) will be administered in grades 1 through 8, as well as
Algebra I, Algebra II, and Geometry.
Course emphases for PARCC Assessments are indicated by:
 Major Content
 Supporting Content
o Additional Content
PARCC Model Content Frameworks
 Major Content
Common Core Focus Clusters/Standards

Supporting Content
o
Additional Content
1
Revised May 31, 2013
Glencoe 8th Grade Mathematics 1st Nine Weeks
2013-2014
Common Core State Standards
State Performance Indicators (SPIs)
Chapter 1 - Rational Numbers
(Allow 1 week for instruction, review, and assessment)
GLE 0806.2.3 Solve real-world problems using rational
and irrational numbers.

8.NS.1 Know that numbers that are not
rational are called irrational.

8.NS.A.2 Use rational approximations of
irrational numbers to compare the size of
irrational numbers, locate them
approximately on a number line diagram,
and estimate the value of expressions.
SPI 0806.2.1 Order and compare rational and irrational
numbers and locate on the number line.
Content & Tasks
1A Rational Numbers
Rugs Task
1B Add and Subtract Rational Numbers
1C Multiply Rational Numbers
1D Divide Rational Numbers
2B Compare Rational Numbers
Illuminations Balance
Repeating Decimals
Math Play: Comparing and Ordering
Chapters 3 & 4 – Equations and Inequalities


(Allow 4 weeks for instruction, review, and assessment)
8.EE.C.7 Solve linear equations in one
√ 0806.3.2 Represent algebraic relationships with equations
variable
and inequalities.
8.EE.C.7 Solve linear equations in one
variable
PARCC Model Content Frameworks
 Major Content
Common Core Focus Clusters/Standards

Ch. 3 Lessons
1B Write Equations
1C/1D Solve one step equation using
addition, subtraction, multiplication and
division.
2B Solve two-step equations
2C Write two-step equations
Building Equations
Task: The Sign of Solutions
Using Inverse Operations
3B/3C Solve one-step inequalities by
addition, subtraction, multiplication or
division
4A Solve two-step inequalities
Supporting Content
o
Additional Content
2
Revised May 31, 2013
Glencoe 8th Grade Mathematics 1st Nine Weeks
2013-2014



8.EE.C.7b Solve linear equations with
rational number coefficients, including
equations whose solutions require
expanding expressions using the
distributive property and collecting like
terms.
GLE 0806.3.2 Represent, analyze, and solve problems
involving linear equations in one and two variables
8.EE.C.7a Give examples of linear
equations in one variable with one
solution, infinitely many solutions, or no
solutions.
8.EE.7, 8.EE.7b Analyze and solve
linear equations and pairs of
simultaneous linear equations.
SPI 0806.3.2 Solve the linear equation f(x) = g(x)
GLE 0806.3.1 Recognize and generate equivalent forms of
algebraic expressions.
√ 0806.1.8 Use a variety of methods to solve realworld problems involving multi-step linear equations
(e.g., manipulatives, technology, pencil and paper).
√ 0806.3.2 Represent algebraic relationships with
equations and inequalities.
Ch. 4 Lessons
1B The Distributive Property
1C Simplify Algebraic Expressions
2B Solve Equations w/Variables on both
sides
2C/2D Solve multi-step equations and
inequalities
See above lessons
See above lessons
Chapter 5 – Expressions and Functions



(Allow 3 weeks for instruction, review, and assessment)
8.F.A.1 Understand that a function is a
SPI 0806.3.4 Translate between various representations of
rule that assigns to each input exactly one a linear function
output. The graph of a function is the set
of ordered pairs consisting of an input
and the corresponding output. (Function
notation is not required in Gr. 8).
8.F.A.2 Compare properties of two
functions each represented in a different
way (algebraically, graphically,
numerically in tables, or by verbal
descriptions).
8.F.A.1
PARCC Model Content Frameworks
 Major Content
Common Core Focus Clusters/Standards

SPI 0806.3.4 Translate between various representations of
a linear function
Supporting Content
1A Investigation: Make a Table
1B Variables and Expressions
1C Ordered Pairs and Relations
Understanding Functions
Function Machine
Task: Growing Dots
Task: Stacking Cups
2A Patterns
2B Analyze Tables
2C Analyze Graphs
3A Relations and Functions
3B Functions
3C Linear Functions
o
Additional Content
3
Revised May 31, 2013
Glencoe 8th Grade Mathematics 1st Nine Weeks
2013-2014
Resource Toolbox:
Formative Assessment
Discovery Education
Common Core
Common Core Standards
TN Core
CCSS Tool Box
Common Core 360
Mathematics Assessment Project
New York Common Core Library
Illustrative Mathematics
LearnZillion
Howard County Schools Resources
Common Core Curriculum 8th Grade Math Resources
Inside Mathematics
PARCC Model Content Frameworks
 Major Content
Common Core Focus Clusters/Standards

Supporting Content
Additional Resources
Math Connects
Holt, Course 3 Text Resources
BrainPop
Virtual Nerd
Khan Academy
Internet 4 Classrooms
Teacher Tube
Kuta Software
Illuminations
TI-Inspire for Middle Grades
TI-Inspire Activity Exchange
The Futures Channel
STEM Resources
o
Additional Content
4
Revised May 31, 2013
Glencoe 8th Grade Mathematics 1st Nine Weeks
2013-2014
PARCC Model Content Frameworks
 Major Content
Common Core Focus Clusters/Standards

Supporting Content
o
Additional Content
5
Revised May 31, 2013