Algebra 1st Quarter - South Henry School Corporation / Overview

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South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: One
Standards
Academic Year: 2013-2014
Content
Skills
Assessment
Resources:
 Textbook: Prentice Hall Mathematics Algebra I
 Prentice Hall Mathematics Algebra I Practice Workbook
 Solutions Manual
Big Ideas:
 The order of operations is essential when simplifying expressions and equations.
 Variables can be used to find solutions to given equations and situations.
 Real life situations can be represented by expressions and equations that involve the use of numbers, variables, and symbols.
Essential Questions:
 Why is the order of operations important when simplifying algebraic expressions?
 How does writing an algebraic equation for a situation simplify the problem?
 How can equations be used when solving real world application problems?
 When is it necessary to use inequalities rather than equations to represent a situation?
 How can proportions be used to solve real world problems?
Unit/Chapter
Standards
Content
Skills
Assessment
Chapter 1
Review over Basic Skills
Common Core Standards
Order of Operations
Translate words into an
algebraic expression
Daily Assessments
1-2: Order of Operations
1-4: Adding Real Numbers
1-5: Subtracting Real Numbers
1-6: Multiplying and Dividing
Real Numbers
Seeing Structure in
Expressions
Operations with Real
Numbers
A-SSE. Interpret the
structure of Expressions
A.1a.b.- Interpret
expressions that represent a
quantity in terms of its
context
A.2- Use the structure of an
Distributive Property
Add, subtract, multiply,
and divide real numbers
Apply the distributive
property to simplify
expressions
Checked by students
and graded by teacher
Or
Graded by teacher
Textbook
Assignments
Worksheet
Assignments
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
1-7: The Distributive Property
Chapter 2
Solving Equations
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
2-6: Solving Formulas for a Specific
Variable
2-7: Using Measures of Central
Tendency
Quarter: One
Standards
Academic Year: 2013-2014
Content
Skills
Solving Equations that
contain one variable
Solve one step equations
by adding, subtracting,
multiplying, or dividing.
expression to identify ways
to rewrite it
Num/Quantity, Quantities
N-Q. Reason
quantitatively and use
units to solve problems.
A.1. Use units as a way to
understand problems and to
guide the solution of multistep problems; choose and
interpret units consistently
in formulas; choose and
interpret the scale and the
origin in graphs and data
displays.
Creating Equations
A-CED. Create equations
that describe numbers or
relationships
A.1- Create equations and
inequalities in one variable
and use them to solve
problems. Include equations
arising from linear and
quadratic functions, and
simple radical and
exponential functions.
A.4. Rearrange formulas to
Assessment
Observations
Solve formulas for a
specified variable
Mean, Median, Mode,
Range
Stem-and-leaf plots
In- Class Oral
Responses
Solve two step equations
that involve one variable
and two operations.
Weekly/Bi-Weekly
Solve equations in one
variable that contain a
variable on both sides of
the equation.
Quizzes
Combine like terms to
simplify expressions and
equations.
Solve formulas for a
specified variable
Find the mean, median,
mode, and range of a set
of data and create a
stem-and-leaf plot
Find a missing data
value when given other
data and the mean
Notes Check
Tests
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Chapter 3
Solving Inequalities
Quarter: One
Standards
highlight a quantity of
interest, using the same
reasoning as in solving
equations.
3-1: Inequalities and Their Graphs
3-2: Solving Inequalities Using
Addition and Subtraction
3-3: Solving Inequalities Using
Multiplication and Division
3-4: Solving Multi-Step Inequalities
3-5: Compound Inequalities
3-6 Part 1: Solving Absolute Value
Equations
3-6 Part 2: Solving Absolute Value
Inequalities
Reasoning with Equations
and Inequalities
A-REI. Understand
solving equations as a
process of reasoning and
explain the reasoning
A.1. Explain each step in
solving a simple equation as
following from the equality
of numbers asserted at the
previous step, starting from
the assumption that the
original equation has a
solution. Construct a viable
argument to justify a
solution method.
A-REI. Solve equations
and inequalities in one
variable.
B.3- Solve linear equations
and inequalities in one
variable, including
equations with coefficients
represented by letters
Academic Year: 2013-2014
Content
Skills
Graphing Inequalities
Graph inequalities that
contain one variable
One, Two, and Multi-Step
Inequalities
Inequalities with a
variable on both sides
Compound Inequalities
Absolute Value Equations
and Inequalities
Solve inequalities that
contain one variable by
adding, subtracting,
multiplying, or dividing
Solve inequalities that
involve multiple
operations.
Solve inequalities in one
variable that contains a
variable on both sides of
the inequality
Solve and graph “and”
and “or” compound
inequalities
Solve absolute value
equations in order to
find the two solutions
Solve and graph
absolute value
inequalities
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Word Problems
Equations and Problem Solving
Quarter: One
Academic Year: 2013-2014
Standards
Content
Skills
Standards for Mathematical
Practice
Application problems that
involve the use of one
variable
Solve real world
application problems
that require students to
define a variable, write
and equation, solve the
equation, and write the
answer in a sentence.
2-2: Two Step
2-3: Multi- Step
2-4: Variable on Both Sides
2-5: Problem Solving
Word Problems
Equations and Problem Solving
MP1: Make sense of
problems and persevere in
solving them.
MP2: Reason abstractly and
quantitatively.
MP3: Construct viable
arguments and critique the
reasoning of others.
MP4: Model with
mathematics.
MP5: Use appropriate tools
strategically.
MP6: Attend to precision.
MP7: Look for and make
use of structure.
MP8: Look for and express
regularity in repeated
reasoning.
Application problems that
involve writing equations
in one variable, but with
the variable on both sides
of the equation
Find the length and
width of a rectangle
when given that the
length is a certain
measure more than the
width
Application problems that
involve the use of one
variable
2-2: Two Step
2-3: Multi- Step
2-4: Variable on Both Sides
2-5: Problem Solving
Find a specific number
of consecutive integers
that add to a given sum
Application problems that
involve writing equations
in one variable, but with
the variable on both sides
of the equation
Solve real world
application problems
that require students to
define a variable, write
and equation, solve the
equation, and write the
answer in a sentence.
Find a specific number
of consecutive integers
that add to a given sum
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: One
Standards
Academic Year: 2013-2014
Content
Skills
Find the length and
width of a rectangle
when given that the
length is a certain
measure more than the
width
Chapter 4
Solving and Applying Proportions
Simplifying ratios
Cross multiplication
4-1: Ratios and Proportions
Simplify ratios that will
be necessary to get an
answer in its simplest
form
Similar Figures
4-2: Proportions and Similar Figures
Percents
4-3: Using Proportions to Solve
Percent Problems
4-4: Percent Of Change
4-5: Applying Ratios to Probability
4-6: Probability of Compound
Events
Solve proportions using
the cross multiplication
method
Percent of Change
Probability
Find missing sides of
similar figures by setting
up and solving a
proportion
Apply proportions to
real world problems
(Finding heights when
given a length of a
shadow and other
relevant information)
Apply proportions to
solve problems
involving percent and
Assessment
South Henry School Corporation • Tri Junior-Senior High School • Straughn, IN
Curriculum Map
Course Title: Algebra I
Unit/Chapter
Quarter: One
Standards
Academic Year: 2013-2014
Content
Skills
percent change
Determine whether a
percent of change is a
percent increase or
decrease
Use ratios to determine
probability
Assessment
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