Course Description
Open to: Grade 8 One Year Course
Prerequisite: Mathematics 7
Content: Students will review fundamental arithmetic, including addition, subtraction,
multiplication and division of decimals, with emphasis on the structure of
the number system. Elementary algebraic concepts will be introduced and problem
solving strategies and applications will be emphasized.
Adopted Materials
Title: Mathematics – Structure and Method, Course
2
Edition: 2001 Impression
Publisher: McDougal Littell
ISBN: 0-395-57013-1
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope for Semester 1
Unit 1
|
Drawing Conclusions from Statistical Data
|
15 Days
|
Unit 2
|
Integers and Variable Expressions
|
26 Days
|
Unit 3
|
Equations and Inequalities
|
15 Days
|
Unit 4
|
Graphing in the Coordinate Plane
|
7 Days
|
Unit 5
|
Rational Numbers and Irrational Numbers
|
14 Days
|
Course Scope for Semester 2
Unit 5
|
Rational Numbers and Irrational Numbers
|
14 Days
|
Unit 6
|
Applications of Proportions
|
12 Days
|
Unit 7
|
Applications of Percent
|
17 Days
|
Unit 8
|
Patterns in Geometry
|
13 Days
|
Unit 9
|
Geometry and Measurement
|
10 Days
|
Unit 10
|
Functions and Polynomials
|
9 Days
|
Unit 11
|
Probability
|
8 Days
|
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Drawing Conclusions
from Statistical Data |
Semester 1, 15 days |
|
Instructional Objective
0803.01 Use appropriate vocabulary. |
Standard Reference
8.M.1.2.7 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use, understand, and apply the appropriate vocabulary
given specific mathematical concepts. |
Ongoing (Ch. 1-11) |
TMA, EOC |
|
Instructional Objective
0803.02 Apply appropriate technology and models
to find solutions to problems. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use computer applications to display and manipulate
data. |
Ongoing (Ch. 1-11) |
TMA, EOC |
|
02 |
Select appropriate models to represent mathematical
ideas. |
Ongoing (Ch. 1-11) |
TMA, EOC |
|
03 |
Use calculator to display, manipulate, and compute
data. |
Ongoing (Ch. 5.9-11) |
TMA, EOC |
|
Instructional Objective
0803.03 Analyze and interpret tables, charts,
and graphs. |
Standard Reference
8.M.5.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Interpret data given a chart or a table. |
1-1 |
TMA, EOC |
|
02 |
Interpret data given in a bar graph, circle
graph, pictograph, or line graph. |
1-1 |
TMA, EOC |
|
Instructional Objective
0803.04 Collect, organize, and display data
with appropriate notation in tables, charts,
and graphs. |
Standard Reference
8.M.5.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Create graph, chart or table. |
1-1, 1-2, 1-8 |
TMA, EOC |
|
02 |
Interpret data given in a bar graph, circle
graph, pictograph, or line graph. |
1-1, 1-2 |
TMA, EOC |
|
Instructional Objective
0803.05 Explore the significance of range,
frequency, and informal distribution. |
Standard Reference
8.M.5.3.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify or generate the appropriate frequency
distribution for a set of data. |
1-3, 1-4 |
TMA, EOC |
|
Instructional Objective
0803.06 Choose and calculate the appropriate
measure of central tendency – mean, median,
and mode. |
Standard Reference
8.M.5.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Compute mean, median, mode or range. |
1-4 |
TMA, EOC |
|
Instructional Objective
0803.07 Conduct statistical experiments and
interpret results using tables, charts, or
graphs. |
Standard Reference
8.M.5.5.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Distinguish and identify conditional probabilities. |
1-7, 1-10 |
TMA, EOC |
|
Instructional Objective
0803.08 Model situations of probability using
simulations. |
Standard Reference
8.M.5.4.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the probability of the outcome of
single or compound events and represent the probability
as a fraction. |
1-11 |
TMA, EOC |
|
Back to Top |
|
Unit
2 |
Integers and Variable
Expressions |
Semester 1, 26 days |
|
Instructional Objective
0803.09 Read, write, order, and compare real
numbers. |
Standard Reference
8.M.1.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify or write a set of positive and negative
rational numbers arranged in order form greatest
to least or least to greatest. |
2-1 |
TMA, EOC |
|
02 |
Compare rational numbers using appropriate symbols. |
2-1 |
TMA |
|
03 |
Determine absolute value of one and two-digit
integers. |
2-1 |
TMA |
|
Instructional Objective
0803.10 Evaluate numerical expressions using
the order of operations. |
Standard Reference
8.M.1.2.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use order of operations to simplify numerical
expressions and solve number sentences involving
positive and negative rational numbers. |
2-2 |
TMA, EOC |
|
Instructional Objective
0803.11 Understand and use the order of operations
in evaluating basic algebraic expressions. |
Standard Reference
8.M.3.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the correct order of operations to evaluate
algebraic expressions including those containing
positive and negative exponents. |
2-2 |
TMA, EOC |
|
Instructional Objective
0803.12 Add, subtract, multiply, and divide
rational numbers. |
Standard Reference
8.M.1.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the sum, difference, product, or quotient
of positive and negative rational numbers. |
2-3-, 2-4, 2-5 |
TMA, EOC |
|
Instructional Objective
0803.13 Understand and use exponents. |
Standard Reference
8.M.1.2.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the laws of exponents to simplify numerical
expressions involving positive and negative integral
exponents. |
2-6, 2-7, 2-10 |
TMA, EOC |
|
Instructional Objective
0803.14 Understand and use the commutative,
associative, identity, zero, inverse, distributive,
and substitution properties. |
Standard Reference
8.M.3.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Explain and use the commutative, associative,
distributive, identity, and inverse properties
to simplify and solve numerical expressions. |
2-8 |
TMA, EOC |
|
Instructional Objective
0803.15 Make predictions and decisions based
on information. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the reasonableness of solutions to
computation and word problems, choosing an appropriate
method. |
2-9 |
TMA, EOC |
|
Instructional Objective
0803.16 Show a sense of magnitudes and relative
magnitudes using scientific notation and exponential
notation. |
Standard Reference
8.M.1.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify or write numbers in expanded form using
exponential notation. |
2-11 |
TMA, EOC |
|
02 |
Identify a number written in scientific notation
and will convert numbers written in standard
form or scientific notation interchangeably. |
2-11 |
TMA, EOC |
|
Back to Top |
|
Unit
3 |
Equations and Inequalities |
Semester 1, 15 days |
|
Instructional Objective
0803.17 Understand and use variables and expressions,
equations, and inequalities. |
Standard Reference
8.M.3.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify or evaluate an equation with one or
two variables. |
3-1, 3-6, 3-7 |
TMA, EOC |
|
02 |
Simplify algebraic expressions, including the
addition and subtraction of polynomials. |
3-1, 3-6 |
TMA, EOC |
|
Instructional Objective
0803.18 Solve one- and two-step equations
and inequalities using inverse operations. |
Standard Reference
8.M.3.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify correct operation and solve a simple
equation or inequality using addition of rational
numbers. |
3-2, 3-8, 3-9 |
TMA, EOC |
|
02 |
Identify correct operation and solve a simple
equation or inequality using subtraction of rational
numbers |
3-2, 3-8, 3-9 |
TMA, EOC |
|
03 |
Identify correct operation and solve a simple
equation or inequality using multiplication of
rational numbers |
3-3, 3-10 |
TMA, EOC |
|
04 |
Identify correct operation and solve a simple
equation or inequality using division of rational
numbers |
3-3, 3-10 |
TMA, EOC |
|
05 |
Solve multiple step equations and inequalities
with one variable. |
3-4 |
TMA, EOC |
|
06 |
Translate and algebraic expression or equation
into an English phrase or sentence. |
3-5 |
TMA, EOC |
|
Back to Top |
|
Unit
4 |
Graphing in the Coordinate
Plane |
Semester 1, 7 days |
|
Instructional Objective
0803.19 Explore graphical representation to
show simple linear equations. |
Standard Reference
8.M.3.3.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify the coordinates of points or plot points
given the coordinates on a four quadrant coordinate
plane. |
4-1 |
TMA, EOC |
|
02 |
Graph a linear function of one or two variables. |
4-2, 4-6 |
TMA, EOC |
|
03 |
Determine the slope and x- and y-intercepts
of a line from a graph or a table of values. |
4-3, 4-4 |
TMA, EOC |
|
Instructional Objective
0803.20 Explore and model the effects of reflections,
translations, and rotations on various shapes. |
Standard Reference
8.M.4.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify relationships between geometric figures
and/or transformations of geometric figures. |
4-8, 4-9, 4-10 |
TMA, EOC |
|
Back to Top |
|
Unit
5 |
Rational Numbers and
Irrational Numbers |
Semester 1, 14 days
Semester 2, 14 days |
|
Instructional Objective
0803.21 Develop and apply number theory concepts. |
Standard Reference
8.M.1.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use prime factors to find greatest common factor
of two or more whole numbers. |
5-1 |
TMA, EOC |
|
02 |
Use prime factors to find the least common multiple
of two or more whole numbers. |
5-1 |
TMA, EOC |
|
03 |
Identify prime numbers between one and a hundred. |
5-1 |
TMA, EOC |
|
04 |
Write prime factors of a number. |
5-1 |
TMA, EOC |
|
05 |
Write the prime factorization of a standard
numeral using exponents. |
5-1 |
TMA, EOC |
|
Instructional Objective
0803.22 Consistently and accurately add, subtract,
multiply, and divide rational numbers. |
Standard Reference
8.M.1.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the sum, difference, product, or quotient
of positive and negative rational numbers. |
5-2, 5-5, 5-6, 5-7 |
TMA, EOC |
|
02 |
Find the solution to word problems that require
the addition and subtraction of rational numbers. |
5-2, 5-5, 5-6 |
TMA, EOC |
|
Instructional Objective
0803.23 Instantly recall common equivalent
fractions, decimals, and percents. |
Standard Reference
8.M.1.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert decimals (terminating and repeating),
fractions, or percents interchangeably. |
5-3 |
TMA, EOC |
|
Instructional Objective
0803.24 Read, write, order, and compare real
numbers and absolute value. |
Standard Reference
8.M.1.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify or write a set of positive and negative
rational numbers arranged in order from greatest
to least or least to greatest. |
5-4 |
TMA, EOC |
|
02 |
Compare rational numbers using appropriate symbols. |
5-4 |
TMA, EOC |
|
Instructional Objective
0803.25 Use symbols (<, >, =, < , >)
to express relationships. |
Standard Reference
8.M.3.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Compare rational numbers using appropriate symbols. |
5-4 |
TMA, EOC |
|
Instructional Objective
0803.26 Understand and use real numbers both
rational and irrational. |
Standard Reference
8.M.1.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the square root of a perfect or nonperfect
square using a chart, a calculator, or computation. |
5-9 |
TMA, EOC |
|
02 |
Estimate the whole number nearest the square
root of a number that has an irrational square
root. |
5-9 |
TMA, EOC |
|
Instructional Objective
0803.27 Investigate right triangle in geometry
using the Pythagorean Theorem. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use knowledge of geometric relationships including
the Pythagorean Theorem to solve problems involving
geometric figures. |
5-10 |
TMA, EOC |
|
Back to Top |
|
Unit
6 |
Applications of Proportions |
Semester 2, 12 days |
|
Instructional Objective
0803.28 Use rates to make indirect measurements. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use formulas and appropriate procedures for
solving measurement problems. |
6-1 |
TMA, EOC |
|
Instructional Objective
0803.29 Understand and use proportions, ratios,
and scales. |
Standard Reference
8.M.2.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify an equivalent expression and/or identify
the terms for a ratio or a proportion. |
6-1, 6-3, 6-6 |
TMA, EOC |
|
02 |
Use ratios to solve word problems. |
6-1 |
TMA, EOC |
|
03 |
Use proportions to solve word problems. |
6-3, 6-6, 7-3 |
TMA, EOC |
|
Instructional Objective
0803.30 Convert unit of measurement within
each system. |
Standard Reference
8.M.2.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert a U.S. customary or metric unit of length,
area, volume, or mass to another specified unit
within the same system. |
6-2 |
TMA, EOC |
|
Instructional Objective
0803.31 Recognize and apply congruence, similarities,
and symmetry of shapes. |
Standard Reference
8.M.4.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the ratio of two similar polygons given
the length of the sides. |
6-4, 6-7, 6-8 |
TMA, EOC |
|
Back to Top |
|
Unit
7 |
Applications of Percent |
Semester 2, 17 days |
|
Instructional Objective
0803.32 Instantly recall common equivalent
fractions, decimals, and percents. |
Standard Reference
8.M.1.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Convert decimals (terminating and repeating),
fractions, and percents interchangeably. |
7-1 |
TMA, EOC |
|
Instructional Objective
0803.33 Recognize when estimation is appropriate
and understand the usefulness of an estimate
as distinct from an exact answer. |
Standard Reference
8.M.1.3.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use estimation to predict computation results. |
7-2 |
TMA, EOC |
|
02 |
Determine whether a given estimate is an overestimate
or underestimate. |
7-2 |
TMA, EOC |
|
03 |
Estimate and judge reasonableness of results. |
7-2 |
TMA, EOC |
|
Instructional Objective
0803.34 Use a variety of strategies including
common mathematical formulas to compute problems
drawn from real-world situations. |
Standard Reference
8.M.1.2.6 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the solutions to number problems using
percent. |
7-3, 7-4, 7-6, 7-7, 7-8 |
TMA, EOC |
|
02 |
Use percents to solve word problems. |
7-3, 7-4, 7-6, 7-7, 7-8 |
TMA, EOC |
|
03 |
Solve word problems that require converting
a percent, decimal, or fraction to another form. |
7-3, 7-4, 7-6, 7-7, 7-8 |
TMA, EOC |
|
04 |
Use a problem-solving model to develop and apply
problem-solving strategies. |
7-3, 7-4, 7-6, 7-7, 7-8 |
TMA, EOC |
|
Instructional Objective
0803.35 Collect, organize, and display data
with appropriate notation in tables, charts,
and graphs. |
Standard Reference
8.M.5.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Create a graph, chart, or table. |
7-5, 7-9 |
TMA, EOC |
|
Back to Top |
|
Unit
8 |
Patterns in Geometry |
Semester 2, 13 days |
|
Instructional Objective
0803.36 Extend patterns and identify a function
that generates the pattern using real numbers. |
Standard Reference
8.M.3.4.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find and/or extend a pattern involving multiples,
squares, cubes, and reciprocals. |
8-1, 10-1 |
TMA, EOC |
|
Instructional Objective
0803.37 Understand and apply fundamental concepts,
properties, and relationships among points,
lines, planes, angles, and shapes. |
Standard Reference
8.M.4.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the measure of a missing angle using knowledge
of the properties of angles and of the angles
within figures. |
8-2, 8-4, 8-5 |
TMA, EOC |
|
Instructional Objective
0803.38 Precisely describe, classify, and
understand relationships among types of one-,
two-, and three-dimensional objects using their
defining properties. |
Standard Reference
8.M.4.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify and describe two- and three-dimensional
geometric figures, including pyramids, prisms,
line segments, rays, and angles. |
8-4, 8-5, 8-6, 8-7, 8-8, 9-1 |
TMA, EOC |
|
02 |
Use geometric terminology for figures and their
parts. |
Ongoing (Ch.
8-9) |
TMA, EOC |
|
Instructional Objective
0803.39 Apply formulas for perimeter, circumference,
and area to polygons and circles. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the perimeter of a polygon or the
circumference of a circle. |
8-9, 8-10 |
TMA, EOC |
|
02 |
Calculate the area of a polygon or circle. |
8-9, 8-10 |
TMA, EOC |
|
03 |
Calculate area a circumference, given diameter
or radius of a circle. |
8-9, 8-10 |
TMA, EOC |
|
Back to Top |
|
Unit
9 |
Geometry and Measurement |
Semester 2, 10 days |
|
Instructional Objective
0803.40 Construct and measure various angles
and shapes using appropriate tools. |
Standard Reference
8.M.4.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Construct special geometric figures, including
three-dimensional figures, figures drawn to a
specified scale, and figures drawn on a coordinate
grid to specified dimensions. |
9-2, 9-3 |
TMA, EOC |
|
Instructional Objective
0803.41 Select and use appropriate units and
tools to make formal measurements using both
systems. |
Standard Reference
8.M.2.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use a ruler, compass, and/or protractor to solve
measurement problems. |
9-4 |
TMA, EOC |
|
Instructional Objective
0803.42 Understand the concept of surface
area and volume. |
Standard Reference
8.M.4.1.6 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the surface area of a rectangular
prism, triangular prism, cylinder, pyramid, or
cone. |
9-5, 9-6 |
TMA, EOC |
|
02 |
Calculate the volume of a rectangular prism,
triangular prism, cylinder, pyramid, or cone. |
9-7, 9-10 |
TMA, EOC |
|
Instructional Objective
0803.43 Use a variety of methods such as words,
numbers, symbols, charts, graphs, tables, diagrams,
and models to explain mathematical reasoning
and concepts. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify a problem that could be represented
by a mathematical model. |
9-9 |
TMA, EOC |
|
Back to Top |
|
Unit
10 |
Functions and Polynomials |
Semester 2, 9 days |
|
Instructional Objective
0803.44 Use functional relationships to explain
how a change in one quantity results in a change
in another. |
Standard Reference
8.M.3.4.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify and/or apply the function rule that
represents the relationship of a set of numbers
containing related pairs. |
10-2 |
TMA, EOC |
|
02 |
Complete an incomplete function table by finding
the rule and the missing value(s). |
10-2 |
TMA, EOC |
|
03 |
Determine the domain or range of a function. |
10-2 |
TMA, EOC |
|
Instructional Objective
0803.45 Represent a set of data in a table,
as a graph, and as a mathematical relationship. |
Standard Reference
8.M.3.5.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Graph a linear function of one or two variables. |
10-3 |
TMA, EOC |
|
02 |
Determine the slope and x- and y-intercepts
of a line from a graph or a table of values. |
10-3 |
TMA, EOC |
|
Instructional Objective
0803.46 Simplify algebraic expressions. |
Standard Reference
8.M.3.2.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify algebraic expressions, including the
addition and subtraction of polynomials. |
10-9, 10-10 |
TMA, EOC |
|
Instructional Objective
0803.47 Make predictions based on experimental
and theoretical probabilities. |
Standard Reference
8.M.5.5.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Demonstrate understanding of the prediction
and counting of probable outcomes based on data. |
11-1 |
TMA, EOC |
|
02 |
Use counting techniques to determine permutations. |
11-2 |
TMA |
|
03 |
Distinguish between independent and dependent
events and identify conditional probabilities. |
11-4, 11-5 |
TMA |
|
Instructional Objective
0803.48 Conduct statistical experiments and
interpret results using tables, charts, or
graphs. |
Standard Reference
8.M.5.5.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Distinguish between independent and dependent
events and identify conditional probabilities. |
11-5, 11-7 |
TMA, EOC |
Back to Top
|
|
|
|
|
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