Accelerated Mathematics - 7
|
District Course #0802
|
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.
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
0803.01 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
0803.02 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
0803.03 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
0803.04 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
0803.05 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
0803.06 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
0803.07 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
0803.08 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
0803.09 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
0803.10 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
0803.11 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
0803.12 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
0803.13 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
0803.14 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
0803.15 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
0803.16 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
0803.17 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
0803.18 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
0803.19 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
0803.20 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
0803.21 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
0803.22 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
0803.22 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
0803.24 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
0803.25 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
0803.26 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
0803.27 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
0803.28 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
0803.29 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
0803.30 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
0803.31 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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Mathematics curriculum e-mail
contact:
|
Boise
School District
8169 W. Victory Rd., Boise, ID 83709 |
| |
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District of Boise City
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|