DRAFT – Math C
Unit 1A – Exponents
Glencoe Resource
Enduring
Understanding
Essential Question
Real numbers are either
rational or irrational.
Why use exponents?
Indicators
6.8.5.4 model and apply rules of exponents.
6.8.5.5 multiply and divide by powers of ten.
Resources
Review
4-1 Factors and
Monomials
4-2 Powers and
Exponents
4-3 Prime
Factorization
(Numbers)
Required
Webquest Internet Project:
Kids Gobbling Empty Calories
www.pre-alg/webquest.com
Teaching Suggestions, p.145 in text
4-3 (6.8.5.4)
Prime Factorization (Expressions)
4-4 (6.8.5.4)
Greatest Common Factor (GCF)
4-5 (6.8.5.4)
Simplifying Algebraic Fractions
Reading Mathematics: (6.8.5.4)
Powers, p.174 in text
4-6 (6.8.5.4)
Multiplying and Dividing Monomials
4-7* (6.8.5.4)
Negative Exponents
4-8 (6.8.5.5)
Scientific Notation
4-8 (6.8.5.5)
Enrichment Master, p. 204;
Scientific Notation
MCPS©2003
4
Enrichment/
Acceleration
4-4 Greatest Common
Factor
4-6 Multiplying and
Dividing Monomials
4-6 Enrichment
Master, p. 194;
4-7 Enrichment
Master, p. 199
Web:
“Scientific Sums”;
http://mathforum.org/
midpow/solutions/solu
tion.ehtml?puzzle=86
DRAFT – Math C
Unit 1B – Rational Numbers
Glencoe Resource
Enduring
Understanding
Essential Question
Real numbers are either
rational or irrational.
How do operations with rational numbers compare to operations
with integers?
Indicators
6.8.1.1 determine which representation of a rational number is appropriate for a given situation.
6.8.5.1 add, subtract, multiply, and divide with rational numbers.
Resources
Review
2-1 Integers and
Absolute Value
2-2 Adding Integers
Reading
Mathematics,
pp. 62-63;
Adding Integers
Reading
Mathematics , p.69
Learning
Mathematics
Vocabulary
2-3 Subtracting
Integers
2-4 Multiplying
Integers
Required
5-1 (6.8.1.1)
Writing Fractions as Decimals
IG (6.8.1.1)
Picture Decimals Lesson
5-2 (6.8.1.1)
Rational Numbers
5-3 (6.8.5.1)
Multiplying Rational Numbers
5-3 Enrichment p.239; Visualizing the
Distributive Property
5-4 (6.8.5.1)
Dividing Rational Numbers
5-5 (6.8.5.1)
Adding and Subtracting Like Fractions
2-5 Dividing Integers
5-6 (6.8.5.1)
Least Common Multiples
Reading
Mathematics, p. 225
Factors and Multiples
5-7 (6.8.5.1)
Adding and Subtracting Unlike Fractions
5-6 Least Common
Multiple
(Numbers)
MCPS©2003
5-9 (6.8.5.1)
Solving Equations with Rational Numbers
18
Enrichment/
Acceleration
5-2 Rational Numbers
5-3 Multiplying
Rational Numbers
5-4 Dividing Rational
Numbers
5-5 Adding and
Subtracting Like
Fractions
5-6 Least Common
Multiples
5-7 Adding and
Subtracting Unlike
Fractions
Web:
“Mathematics Club
Membership”;
http://mathforum.org/
midpow/solutions/199
71110.midpow.html
DRAFT – Math C
Unit 1C – Powers, Roots, and Irrational Numbers
Glencoe Resource
Enduring
Understanding
Essential Questions
Real numbers are either
rational or irrational.
What kinds of numbers make up the set of real numbers?
How are roots and powers related?
Indicators
2.8.2.1 use the Pythagorean theorem to solve problems by determining length of the missing side of
a right triangle.
6.8.5.2 describe the relationship between roots and powers.
6.8.5.3 calculate powers and square roots of numbers.
6.8.7.1 estimate powers and square roots to solve problems.
6.8.7.3 select and apply strategies and mathematical properties to solve problems with real numbers.
Resources
Review
Reading
Mathematics:
Learning Geometry
Vocabulary, p. 446
Required
9-1 (6.8.5.2, 6.8.5.3, 6.8.7.1)
Squares and Square Roots
9-2 (6.8.7.3)
The Real Number System
9-3 Angles
Spreadsheet
Investigation:
Circle Graphs and
Spreadsheets, p. 452
Algebra Activity: (2.8.2.1)
The Pythagorean Theorem, p. 458
9-5 (2.8.2.1)
The Pythagorean Theorem
9-4 Triangles
MCPS©2003
Enrichment/
Acceleration
9-1 Enrichment
Master, p 493
9-2
Algebra Activity:
Graphing Irrational
Numbers, p. 465
9-5 The Converse of
the Pythagorean
Theorem
9-6 The Distance and
Midpoint Formulas
38
DRAFT – Math C
Unit 1D – Proportional Reasoning
Glencoe Resource
Enduring
Understanding
Essential Question
Proportional situations
involve multiplicative
relationships.
What kinds of questions can be answered using proportional
reasoning?
Indicators
3.8.4.1 use proportions, rates, and scale drawings to solve problems.
6.8.7.2 apply the concepts of ratios, rates, unit rates, and percents to real-world problems, including
rate of increase/decrease, discount, commission, sales tax, and simple interest.
Resources
Review
6-4 Fractions,
Decimals, and
Percents
Required
1-1 (Process of Problem Solving 7.0)
Using a Problem-Solving Plan
Enrichment/
Acceleration
6-1 Enrichment Master
p. 303
6-1 (3.8.4.1)
Ratios and rates
6-2 Enrichment Master
p. 308
Reading Mathematics: (3.8.4.1)
Making Comparisons, p. 269 in text
Web: “Buying Cola”;
http://mathforum.org/
midpow/solutions/solu
tion.ehtml?puzzle=141
6-2 (3.8.4.1)
Using Proportions
6-3 (3.8.4.1)
Scale Drawings and Models
Algebra Activity: (3.8.4.1)
Using a Percent Model, pp. 286-287 in text
6-5 (3.8.4.1)
Using the Percent Proportion
6-6 (3.8.4.1)
Finding Percents Mentally
6-7 (6.8.7.3)
MCPS©2003
50
Web: “The Nutty
Squirrel”;
http://mathforum.org/
midpow/solutions/solu
tion.ehtml?puzzle=66
6-6 Enrichment Master
p. 328
Number Sense, Grade
6-8, pp. 73-75
SuperSource, Grades
7-8, Number, “Foreign
Currency Exchange,”
pp. 39-42