Course Description
Open to: 9 - One-year Course
Prerequisite: Mathematics 8 with a C or better
Content: Students will be introduced to the concepts of algebra, geometry,
logic, probability and statistics with an emphasis on algebra.
Adopted Materials
Title: Algebra 1
Edition: 2009
Publisher: Prentice Hall
ISBN: 0-13-365946-1
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope
| Unit 0 |
Preparation and Review |
1 Week |
| Unit 1 |
Variables, Function Patterns,
Graphs |
2 Weeks |
| Unit 2 |
Rational Numbers |
2 Weeks |
| Unit 3 |
Solving Equations |
4 Weeks |
| Unit 4 |
Solving Inequalities |
3 Weeks |
| Unit 5 |
Graphs and Functions |
2 Weeks |
| Unit 6 |
Linear Equations and their Graphs |
3 Weeks |
| Unit 7 |
Systems of Equations and Inequalities |
3 Weeks |
| Unit 8 |
Exponents and Exponential Functions |
2 ½ Weeks |
| Unit 9 |
Polynomials and Factoring |
3½ Weeks |
| Unit 10 |
Quadratic Equations and Functions |
2 Weeks |
| Unit 11 |
Radical Expressions and Equations |
2 Weeks |
| Unit 12 |
Radical Expressions and Functions |
3 Weeks |
| Unit Various |
Selected Topics |
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
0 |
Preparation and Review |
1 week |
|
Instructional Objective
0812.01 Review arithmetic skill prerequisites
from previous years. |
Standard Reference
AI.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Demonstrate skills at performing basic arithmetic
skills using fractions and decimals. |
|
TMA |
|
Back to Top |
|
Unit
1 |
Variables, Function
Patterns, Graphs |
2 weeks |
|
Instructional Objective
0812.02 Use the proper order of operations.
Perform operations with real numbers. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the order of operations simplify numerical
expressions. |
Text
Review Masters |
TMA, EOC |
|
Instructional Objective
0812.03 Use a variety of methods, including
common mathematical formulas, solve problems
drawn from daily life. |
Standard Reference
AI.1.3.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Use a problem-solving model develop and apply
problem-solving strategies. (e.g., guess and
check, draw a diagram, make a list, work backwards,
identify a simpler problem.) |
Ch 1 |
TMA, EOC |
|
Instructional Objective
0812.04 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence in an
algebraic expression and vice versa. |
Ch 1 |
TMA, EOC |
|
Instructional Objective
0812.05 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.1.1, AI.1.1.2, AI.1.2, AI.1.3.1, AI.1.3.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an algebraic expression using rational
numbers. |
Ch 1 |
TMA, EOC |
|
02 |
Evaluate an expression using exponents. |
Ch 1 |
TMA, EOC |
|
Instructional Objective
0812.06 Make predictions using measures of
central tendency and plots and tables. |
Standard Reference
AI.5.2.1, AI.5.2.2 |
|
01 |
Find missing measures of central tendency. |
Ch 1 |
TMA |
|
02 |
Graph scatter plots and find the line of best
fit. |
Ch 1 and Ch 6 |
TMA |
|
Instructional Objective
0812.07 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.3.1, AI.1.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert decimals (terminating and repeating),
fractions, or percents interchangeably. |
Ch 2 |
TMA, EOC |
|
02 |
Perform basic operations on positive and negative
numbers. |
|
TMA, EOC |
|
Instructional Objective
0812.08 Make and evaluate logical arguments. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Make and evaluate logical arguments (e.g., explain
why it is not possible divide by zero.) |
Ch 2 |
EOC |
|
Instructional Objective
0812.09 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.3.2.1, AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence in an
algebraic expression and vice versa. |
Ch 2 |
TMA, EOC |
|
Instructional Objective
0812.10 Understand and use positive and negative
numbers, fractions, decimals, percentages,
and scientific notation. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert decimals (terminating and repeating),
fractions, or percents interchangeably. |
Ch 3 |
TMA, EOC |
|
Instructional Objective
0812.11 Understand properties of the real
number system. |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Recognize and use a property of real numbers
(associative, commutative, distributive, and
equality) in an algebraic expression. |
Ch 3 |
TMA, EOC |
|
02 |
Identify and use identity and inverse properties
in algebraic expressions. |
Ch 3 |
TMA, EOC |
|
Instructional Objective
0812.12 Use a variety of methods, including
common mathematical formulas; solve problems
drawn from daily life. |
Standard Reference
AI.3.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use a problem-solving model, develop and apply
problem-solving strategies. (e.g., guess and
check, draw a diagram, make a list, work backwards,
identify a simpler problem.) |
Ch 3 |
TMA, EOC |
|
Instructional Objective
0812.13 Understand and use proportions, ratios,
and map scales. |
Standard Reference
AI.3.3.1, AI.2.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the solutions to problems using ratio,
proportion, and percent. |
Ch 3 |
TMA, EOC |
|
Instructional Objective
0812.14 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence in an
algebraic expression and vice versa. |
Ch 3 |
TMA, EOC |
|
Instructional Objective
0812.15 Understand and use appropriate procedures
solve linear equations and inequalities such
as:
3x – 4 = 2
or
3x – 4 > 2 |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve linear equations with one variable for
computational or word problems. |
Ch 3 |
TMA, EOC |
|
02 |
Solve absolute value equations |
Ch 3 |
TMA, EOC |
|
03 |
Solve fractional equations |
Ch 3 |
TMA, EOC |
|
Instructional Objective
0812.16 Understand and use variables, expressions,
equations, and inequalities. |
Standard Reference
AI.3.3.1, AI.3.2.2 |
|
No.
|
Performance Objective
|
Resource Reference |
Assessment Correlation |
|
01 |
Translate an English phrase or sentence in an
algebraic expression and vice versa. |
Ch 4 |
TMA, EOC |
|
Instructional Objective
0812.17 Understand and use appropriate procedures
solve linear equations and inequalities such
as:
3x – 4 = 2
or
3x – 4 > 2 |
Standard Reference AI.3.3.1,
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve fractional equations |
Ch 4 |
TMA, EOC |
|
02 |
Solve inequalities with one variable in computational
or word problems. |
Ch 4 |
TMA, EOC |
|
Instructional Objective
0812.18 Model real-world phenomena using polynomial
and rational functions, noting restricted domains. |
Standard Reference
AI.3.1.1, AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Model real-world phenomena using polynomial,
and rational functions. |
Ch 4 |
TMA, EOC |
|
Instructional Objective
0812.19 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify inequalities by their representation
on a graph. |
Ch 4 |
TMA, EOC |
|
02 |
Graph an inequality with one or two variables. |
Ch 4 |
TMA, EOC |
|
Instructional Objective
0812.20 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an algebraic expression using rational
numbers. |
Ch 5 |
TMA, EOC |
|
Instructional Objective
0812.21 Represent a set of data in a table,
a graph, and as a mathematical relationship |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify whether an expression, ordered pair,
or graph does or does not represent a function
and justify the conclusion. |
Ch 5 |
TMA, EOC |
|
02 |
Evaluate functions written in function notation |
Ch 5 |
TMA |
|
Back to Top |
|
Unit
6 |
Linear Equations and
their Graphs |
3 weeks |
|
Instructional Objective
0812.22 Use graphs and sequences to represent
and solve problems. |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use graphs and sequences to represent and solve
problems. |
Ch 6 |
TMA, EOC |
|
Instructional Objective
0812.23 Understand the purpose and capabilities
or appropriate technology. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Discuss and understand the purpose and capabilities
or appropriate technology. |
Graphing calculator demo |
TMA, EOC |
|
Instructional Objective
0812.24 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an algebraic expression using rational
numbers. |
Ch 6 |
TMA, EOC |
|
Instructional Objective
0812.25 Understand concepts of the Cartesian
Coordinate System. |
Standard Reference
AI.3.2.1, AI.3.4.1, AI.5.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the slope of a line using the slope
formula, the equation of the line, or the graph
of the equation. |
Ch 6 |
TMA, EOC |
|
02 |
Determine the linear equation of the line using
the slope, y-intercept, or coordinates and will
compare the slopes of parallel and perpendicular
lines. |
Ch 6 |
TMA, EOC |
|
03 |
Determine a linear equation from analyzing the
graph of the equation. |
Ch 6 |
TMA, EOC |
|
04 |
Graph a linear equation with one variable. |
Ch 6 |
TMA, EOC |
|
Instructional Objective
0812.26 Model real-world phenomena using polynomial
and rational functions, noting restricted domains. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Model real-world phenomena using polynomial
and rational functions. |
Ch 6 |
TMA, EOC |
|
Back to Top |
|
Unit
7 |
Systems of Equations
and Inequalities |
3 weeks |
|
Instructional Objective
0812.27 Understand the purpose and capabilities
or appropriate technology. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Discuss and understand the purpose and capabilities
or appropriate technology. |
Graphing Calculator demo |
TMA, EOC |
|
Instructional Objective
0812.28 Understand and use appropriate procedures
solve simple linear systems of equations and
inequalities such as
x + y = 7
2x + 3y = 21
or
x + y < 7
2x + 3y > 21 |
Standard Reference
AI.3.1.2, AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve systems of linear equations in two variables. |
Ch 7 |
TMA, EOC |
|
02 |
Graph a linear equation with two variables. |
Ch 7 |
TMA, EOC |
|
Instructional Objective
0812.29 Model real-world phenomena using polynomial
and rational functions, noting restricted domains. |
Standard Reference
AI.3.2.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Model real-world phenomena using polynomial,
rational, and basic exponential functions. |
Ch 7 |
TMA, EOC |
|
Back to Top |
|
Unit
8 |
Exponents and Exponential
Functions |
2 ½ weeks |
|
Instructional Objective
0812.30 Use positive and negative numbers,
fractions, decimals, percentages, and scientific
notation. |
Standard Reference
AI.1.1.2, AI.1.1.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert numbers from scientific notation (including
those with negative exponents) the standard form
and vice versa. |
Ch 8 |
TMA, EOC |
|
02 |
Understand and perform basic operations on positive
and negative numbers. |
Ch 8 |
TMA, EOC |
|
Instructional Objective
0812.31 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Multiply perfect squares and perfect square
trinomials. |
Ch 8 |
TMA, EOC |
|
Instructional Objective
0812.32 Understand properties of roots, exponents,
and logarithms. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Students will perform operations on numerical
expressions containing roots and integral exponents. |
Ch 8 |
TMA, EOC |
|
Instructional Objective
0812.33 Use a variety of methods, including
common mathematical formulas, solve problems
drawn from daily life. |
Standard Reference
AI.1.3.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use a problem-solving model, develop and apply
problem-solving strategies. (e.g., guess and
check, draw a diagram, make a list, work backwards,
and identify a simpler problem.) |
Ch 8 |
TMA, EOC |
|
Instructional Objective
0812.34 Use number theory concepts (divisibility
rules, factors, multiples, primes) solve problems. |
Standard Reference
AI.1.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Apply definitions of prime and composite numbers
solve mathematical problems. |
Ch 9 |
TMA, EOC |
|
Instructional Objective
0812.35 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Factor simple polynomials. |
Ch 9 |
TMA, EOC |
|
02 |
Factor the difference of two squares or perfect
square trinomials. |
Ch 9 |
TMA, EOC |
|
Instructional Objective
0812.36 Use appropriate procedures simplify
and solve polynomial equations and inequalities
such as
x2 + 3x = 7
or
x2 + 3x < 7 |
Standard Reference
AI.1.3.3 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve polynomial word problems with or without
factoring. |
Ch 9 |
TMA, EOC |
|
Back to Top |
|
Unit
10 |
Quadratic Equations
and Functions |
2 weeks |
|
Instructional Objective
0812.37 Understand and use procedures for
operating on algebraic expressions. |
Standard Reference
AI.1.3.1, AI.3.1.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Evaluate an algebraic expression using rational
numbers. |
Ch 10 |
TMA, EOC |
|
02 |
Evaluate an expression using exponents. |
Ch 10 |
TMA, EOC |
|
03 |
Identify a quadratic function by its degree
and whether the parabola opens up or down. |
Ch 10 |
TMA |
|
04 |
Solve by factoring. |
Ch10 |
TMA |
|
Back to Top |
|
Unit
11 |
Radical Expressions
and Equations |
2 weeks |
|
Instructional Objective
0812.38 Understand properties of roots, exponents,
and logarithms. |
Standard Reference
AI.1.3.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Students will perform operations on numerical
expressions containing root and integral exponents. |
Ch 11 |
TMA, EOC |
|
02 |
Perform basic operations simplify radical expressions
containing variables. |
Ch 11 |
TMA, EOC |
|
03 |
Solve radical equations |
Ch 11 |
TMA, EOC |
|
Instructional Objective
0812.39 Know and apply the Pythagorean Theorem
solve real world problems. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the lengths of the sides or a right triangle
using the Pythagorean Theorem. |
Ch 11 |
TMA, EOC |
|
Back to Top |
|
Unit
12 |
Radical Expressions
and Functions |
3 weeks |
|
Instructional Objective
0812.40 Make and evaluate logical arguments. |
Standard Reference
AI.1.3.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Make and evaluate logical arguments (e.g., explain
why it is not possible divide by zero.) |
Ch 12 |
EOC |
|
Instructional Objective
0812.41 Apply number sense everyday situations |
Standard Reference
AI.1.3.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the reasonableness computation and
word problems, choosing an appropriate method
(e.g., using estimation, evaluating according
context). |
Throughout Text |
TMA, EOC |
|
Instructional Objective
0812.42 Use mathematical models solve problems. |
Standard Reference
|
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Understand the nature and use of mathematical
models. |
Throughout Text |
TMA, EOC |
|
Instructional Objective
0812.43 Select the appropriate means communicate
mathematical information. |
Standard Reference
AI.3.1.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Construct tables, charts, or graphs represent
mathematical data. |
Throughout Text |
TMA, EOC |
|
Instructional Objective
0812.44 Determine length, area, capacity,
weight, time, and temperature with appropriate
units. |
Standard Reference
AI.2.1.1, AI.2.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use US customary and metric units of measurement
calculate perimeter, area, surface area, and
volume. |
Throughout Text |
TMA, EOC |
|
Instructional Objective
0812.45 Use equivalent units, comparable units,
and conversions |
Standard Reference
AI.2.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Understand equivalent units, comparable units,
and conversions. |
Throughout Text |
TMA, EOC |
|
Instructional Objective
0812.46 Understand units and their relationship
one another and real world applications. |
Standard Reference
AI.2.2.1 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use measurement in word problems (e.g., rate,
work, distance, power, percent mixture) |
Throughout Text |
TMA, EOC |
|
Instructional Objective
0812.47 Understand that error accumulates
in a computation when there is rounding at
intermediate steps. |
Standard Reference
AI.1.3.2 |
|
No.
|
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the reasonableness computation and
word problems, choosing an appropriate method
(e.g., using estimation, evaluating according
context). |
Throughout Text |
TMA, EOC |
Back to Top
|
|
|
|
|
Mathematics curriculum contact:
|
|
