Course Description
Open to: Grade 7 One Year Course
Prerequisite(s): Mathematics 6, survey examination, and counselor approval.
Content: Students will experience a rigorous preparation for algebra with an
emphasis on reasoning, problem solving, communication skills, number relationships
and theory, patterns and functions, and algebraic concepts.
Adopted Materials
Title: Mathematics: Structure and Method, Course 2
Edition: 1992
Publisher: Houghton Mifflin
ISBN: 0-395-57014-X
Mathematics Curriculum
Map
Course overview, activities, vocabulary, supplemental materials in pdf format.
Copyright
Resources
Course Scope Semester 1
| Unit 1 |
Introduction to Algebra |
12 Days |
| Unit 2 |
The Decimal System |
12 Days |
| Unit 3 |
Positive and Negative Numbers |
13 Days |
| Unit 4 |
Rational Numbers |
12 Days |
| Unit 5 |
Equations and Inequalities |
14 Days |
| Unit 6 |
Geometry |
9 Days |
Course Scope Semester 2
|
Unit 6 |
Geometry |
7 Days |
|
Unit 7 |
Ratio, Proportion, and Percent |
16 Days |
|
Unit 8 |
The Coordinate Plane |
13 Days |
|
Unit 9 |
Areas and Volumes |
14 Days |
|
Unit 10 |
Square Roots and Right Triangles |
7 Days |
|
Unit 11 |
Probability |
7 Days |
|
Unit 12 |
Statistics |
6 Days |
|
Unit 13 |
Polynomials |
6 Days |
Assessment
Correlation acronyms key
Mathematics Curriculum Matrix K-12 pdf or Word
document
|
Unit
1 |
Introduction to Algebra |
12 days |
|
Instructional Objective
0802.01 Use appropriate vocabulary. |
Standard Reference
7.M.1.1.8, 7.M.3.4.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use, understand, and apply the appropriate vocabulary
given specific mathematical concepts. |
Ongoing (Ch. 1-13) |
TMA, EOC |
|
Instructional Objective
0802.02 Understand and use a variety of problem-solving
skills. |
Standard Reference
7.M.1.1.6 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use a variety of strategies to compute problems
drawn from real-world situations. |
Ongoing (Ch. 1-13) |
TMA, EOC |
|
02 |
Recognize pertinent information for problem
solving. |
Ongoing (Ch. 1-13) |
TMA, EOC |
|
Instructional Objective
0802.03 Apply appropriate technology and
models to find solutions to problems. |
Standard Reference
7.M.1.3.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use computer applications to display and manipulate
data. |
Ongoing (Ch. 1-13) |
TMA, EOC |
|
02 |
Select appropriate models to represent mathematical
ideas. |
Ongoing (Ch. 1-13) |
TMA, EOC |
|
03 |
Use calculator to display, manipulate, and compute
data. |
Ongoing (Ch. 6.6-13) |
TMA, EOC |
|
Instructional Objective
0802.04 Simplify and evaluate algebraic expressions. |
Standard Reference
7.M.3.1.2, 7.M.3.2.1, 7.M.3.2.2, 7.M.3.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Simplify or evaluate a mathematical or variable
expression using the order of operations. |
1-1, 1-2, 1-6, 2-5 |
TMA, EOC |
|
02 |
Find the solution of an equation or inequality
in one variable whose replacement set is given. |
1-3, 1-4 |
TMA, EOC |
|
03 |
Write expressions for word phrases, and equations
and inequalities for word sentences. |
1-6, 1-7 |
TMA, EOC |
|
04 |
Simplify the expressions in an equation to obtain
an equivalent equation. |
5-2 |
TMA, EOC |
|
Instructional Objective
0802.05 Understand and use exponents. |
Standard Reference
7.M.1.1.4, 7.M.1.2.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Read, write, and simplify exponential expressions. |
2-2 |
TMA, EOC |
|
02 |
Simplify expressions involving negative exponents. |
3-7 |
TMA, EOC |
|
Instructional Objective
0802.06 Read, write, order, and compare real
numbers (integers, fractions, decimals, percents,
ratios) and absolute values. |
Standard Reference
7.M.1.1.1, 7.M.1.1.2, 7.M.1.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Read, write, and order decimal numbers. |
2-2 |
TMA, EOC |
|
02 |
Express percents as fractions and as decimals. |
7-4 |
TMA, EOC |
|
03 |
Express fractions and decimals as percents. |
7-4 |
TMA, EOC |
|
Instructional Objective
0802.07 Recognize when estimation is appropriate
and understand the usefulness of an estimate
as distinct from an exact answer. |
Standard Reference
7.M.1.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Round decimal numbers and use rounding to estimate
an answer. |
2-3 |
TMA, EOC |
|
Instructional Objective
0802.08 Develop and apply number theory concepts. |
Standard Reference
7.M.3.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the properties of addition and multiplication. |
2-4 |
TMA, EOC |
|
02 |
Use terms and properties concerning positive
and negative fractions. |
4-1 |
TMA, EOC |
|
03 |
Use the addition and multiplication properties
of equality. |
5-1 |
TMA, EOC |
|
Instructional Objective
0802.09 Understand the position of real numbers
on a number line. |
Standard Reference
7.M.1.1.1, 7.M.1.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Represent and compare positive and negative
integers on a number line. |
3-1 |
TMA, EOC |
|
02 |
Represent and compare positive and negative
decimals on a number line. |
3-2 |
TMA, EOC |
|
Instructional Objective
0802.10 Consistently and accurately add,
subtract, multiply, and divide rational numbers. |
Standard Reference
7.M.1.1.5, 7.M.1.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the sum of two or more positive or negative
numbers. |
3-3 |
TMA, EOC |
|
02 |
Find the difference of two positive or negative
numbers. |
3-4 |
TMA, EOC |
|
03 |
Find the product of two or more positive or
negative numbers. |
3-5 |
TMA, EOC |
|
04 |
Find the quotient of two positive or negative
numbers. |
3-6 |
TMA, EOC |
|
05 |
Add and subtract fractions and mixed numbers. |
4-4 |
TMA, EOC |
|
06 |
Multiply fractions and mixed numbers. |
4-5 |
TMA, EOC |
|
07 |
Divide fractions and mixed numbers. |
4-6 |
TMA, EOC |
|
Instructional Objective
0802.11 Understand and use real numbers both
rational and irrational. |
Standard Reference
7.M.1.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Write proper and improper fractions as equivalent
fractions or mixed numbers in lowest terms. |
4-2 |
TMA, EOC |
|
02 |
Write two or more fractions as equivalent fractions
with the least common denominator. |
4-3 |
TMA, EOC |
|
03 |
Write fractions and mixed numbers as equivalent
terminating or repeating decimals. |
4-7 |
TMA, EOC |
|
04 |
Write terminating or repeating decimals as equivalent
fractions or mixed numbers. |
4-7 |
TMA, EOC |
|
05 |
Estimate the positive square root of a positive
number by determining the two consecutive integers
between which the square root lies. |
10-1 |
TMA, EOC |
|
Instructional Objective
0802.12 Solve one- and two-step equations
and inequalities using inverse operations. |
Standard Reference
7.M.3.3.1, 7.M.3.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Solve equations and inequalities by using inverse
operations. |
1-5 |
TMA, EOC |
|
02 |
Solve an equation in one variable that involves
addition or subtraction. |
5-3 |
TMA, EOC |
|
03 |
Solve an equation in one variable that involves
multiplication or division. |
5-4 |
TMA, EOC |
|
04 |
Use several transformations to solve an equation
in one variable. |
5-5 |
TMA, EOC |
|
05 |
Solve an inequality in one variable that involves
addition, subtraction, multiplication, or division. |
5-6 |
TMA, EOC |
|
06 |
Use several transformations to solve an inequality
in one variable. |
5-7 |
TMA, EOC |
|
07 |
Use an equation to solve a word problem. |
5-9 |
TMA, EOC |
|
08 |
Solve equations involving a percent of increase
or decrease. |
7-6 |
TMA, EOC |
|
09 |
Solve percentage equations involving commissions,
royalties, and discounts. |
7-7 |
TMA, EOC |
|
10 |
Solve equations involving simple and compound
interest. |
7-8 |
TMA, EOC |
|
11 |
Find solutions for an equation in two variables. |
8-2 |
TMA, EOC |
|
Instructional Objective
0802.13 Use a variety of methods, such as
words, numbers, symbols, charts, graphs, tables,
diagrams, and models to communicate mathematical
information. |
Standard Reference
7.M.3.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Intepret an equation as a word problem. |
5-8 |
TMA, EOC |
|
Instructional Objective
0802.14 Describe, classify, and apply fundamental
concepts, properties, and relationships among
points, lines, planes, angles, and shapes. |
Standard Reference
7.M.4.1.3 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Name points, segments, rays, lines, and planes. |
6-1 |
TMA, EOC |
|
02 |
Identify types of angles. |
6-3 |
TMA, EOC |
|
03 |
Recognize and use the properties of perpendicular
lines, complementary angles, supplementary angles,
and vertical angles. |
6-4 |
TMA, EOC |
|
04 |
Identify special angles associated with parallel
lines. |
6-5 |
TMA, EOC |
|
05 |
Classify triangles. |
6-6 |
TMA, EOC |
|
06 |
Identify quadrilaterals, parallelograms, rhombuses,
rectangles, squares, trapezoids, and isosceles
trapezoids. |
6-7 |
TMA, EOC |
|
07 |
Identify and find the perimeters of polygons. |
6-8 |
TMA, EOC |
|
Instructional Objective
0802.15 Construct and measure various angles
and shapes using appropriate tools. |
Standard Reference
7.M.4.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Construct and measure segments and angles. |
6-1, 6-3 |
TMA, EOC |
|
02 |
Determine measures of angles in triangles |
6-6 |
TMA, EOC |
|
03 |
Construct a parallelogram. |
6-7 |
TMA, EOC |
|
Instructional Objective
0802.16 Apply formulas for perimeter, circumference,
and area to polygons and circles. |
Standard Reference
7.M.2.1.4 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use a circumference formula. |
6-2 |
TMA, EOC |
|
Instructional Objective
0802.17 Recognize and apply congruence, similarities,
and symmetry of shapes. |
Standard Reference
7.M.4.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Identify congruent polygons and their corresponding
parts. |
6-9 |
TMA, EOC |
|
02 |
Apply facts about similar triangles. |
10-5 |
TMA, EOC |
|
Instructional Objective
0802.18 Understand and use proportions, ratios,
and scales. |
Standard Reference
7.M.2.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Write a ratio in lowest terms. |
7-1 |
TMA, EOC |
|
02 |
Set up and solve proportions. |
7-1 |
TMA, EOC |
|
03 |
Interpret and use scale drawings. |
7-3 |
TMA, EOC |
|
04 |
Use ratios to solve percentage problems. |
7-5 |
TMA, EOC |
|
05 |
Use proportions to solve problems involving
percents. |
7-8 |
TMA, EOC |
|
Instructional Objective
0802.19 Use rates to make indirect measurements. |
Standard Reference
7.M.2.2.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Express unit rates. |
7-2 |
TMA, EOC |
|
02 |
Use rates to solve problems. |
7-2 |
TMA, EOC |
|
Instructional Objective
0802.20 Translate simple word statements
and story problems into algebraic expressions
and equations. |
Standard Reference
7.M.3.1.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Translate percentage problems into algebraic
equations. |
7-5 |
TMA, EOC |
|
Instructional Objective
0802.21 Use the coordinate plane as it relates
to real-world applications. |
Standard Reference
7.M.4.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Assign coordinates to a point in the plane. |
8-1 |
TMA, EOC |
|
02 |
Graph and ordered pair of numbers in the coordinate
plane. |
8-1 |
TMA, EOC |
|
03 |
Graph a linear equation in two variables. |
8-3 |
TMA, EOC |
|
05 |
Solve problems using graphs. |
8-5 |
TMA, EOC |
|
Instructional Objective
0802.22 Apply formulas for perimeter, circumference,
and area to polygons and circles. |
Standard Reference
7.M.2.1.6, 7.M.2.1.4, 7.M.4.1.5 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the areas of rectangles and triangles. |
9-1 |
TMA, EOC |
|
02 |
Find the areas or parallelograms and trapezoids. |
9-2 |
TMA, EOC |
|
03 |
Find the areas of circles and of regions involving
circles. |
9-3 |
TMA, EOC |
|
04 |
Use point and line symmetry in finding the areas
of figures. |
9-4 |
TMA, EOC |
|
Instructional Objective
0802.22 Understand the concept of surface
area and volume (capacity). |
Standard Reference
7.M.4.1.6 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Find the volumes and capacities of prisms, cylinders,
pyramids, and cones. |
9-5, 9-6 |
TMA, EOC |
|
02 |
Find the surface areas of prisms and cylinders. |
9-7 |
TMA, EOC |
|
Back to Top |
|
Unit
10 |
Square Roots & Right
Triangles |
7 days |
|
Instructional Objective
0802.24 Investigate right triangle geometry
using the Pythagorean Theorem. |
Standard Reference
7.M.4.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Use the Pythagorean Theorem and its converse. |
10-4 |
TMA, EOC |
|
Instructional Objective
0802.25 Understand and use the language of
probability. |
Standard Reference
7.M.5.4.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the number of permutations or combinations
that can be made from a group of objects. |
11-1, 11-2 |
TMA, EOC |
|
02 |
Determine the odds in favor of an event and
the odds against an event. |
11-4 |
TMA, EOC |
|
Instructional Objective
0802.26 Recognize equally likely outcomes. |
Standard Reference
7.M.5.4.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Determine the probability of an event when the
outcomes are equally likely. |
11-3 |
TMA, EOC |
|
Instructional Objective
0802.27 Analyze and interpret tables, charts,
and graphs (scatter plots, line graphs, bar
graphs, pie charts). |
Standard Reference
7.M.5.1.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Read single and double bar graphs. |
12-1 |
TMA, EOC |
|
02 |
Read line graphs. |
12-2 |
TMA, EOC |
|
03 |
Read frequency distribution tables. |
12-4 |
TMA, EOC |
|
04 |
Read stem-and-leaf plots. |
12-5 |
TMA, EOC |
|
Instructional Objective
0802.28 Collect, organize, and display data
with appropriate notation in tables, charts,
and graphs (scatter plots, line graphs, bar
graphs, pie charts). |
Standard Reference
7.M.5.2.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Make single and double bar graphs. |
12-1 |
TMA, EOC |
|
02 |
Make line graphs. |
12-2 |
TMA, EOC |
|
03 |
Make frequency distribution tables. |
12-4 |
TMA, EOC |
|
04 |
Make stem-and-leaf plots |
12-5 |
TMA, EOC |
|
Instructional Objective
0802.29 Choose and calculate the appropriate
measure of central tendency – mean, median,
and mode. |
Standard Reference
7.M.5.3.1 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the mean, median, and mode of a set
of data. |
12-3 |
TMA, EOC |
|
Instructional Objective
0802.30 Explore the significance of range,
frequency, and informal distribution. |
Standard Reference
7.M.5.3.2 |
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Calculate the range of a set of data. |
12-3 |
TMA, EOC |
|
Instructional Objective
0802.31 Explore the concept of polynomials
and the basic techniques by which polynomials
are manipulated. |
Standard Reference
|
|
No. |
Performance Objective |
Resource Reference |
Assessment Correlation |
|
01 |
Introduce polynomials and the terminology associated
with them. |
13-1 |
TMA, EOC |
|
02 |
Add and subtract polynomials. |
13-2 |
TMA, EOC |
|
03 |
Multiply and divide polynomials. |
13-3 |
TMA, EOC |
|
04 |
Multiply and divide a polynomial by a monomial. |
13-4 |
TMA, EOC |
Back to Top
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