Pre AP - Module 1 - Number and Operations

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Mathematics Curriculum Map G/T
Grade Level: 7
Title: Pre AP Number and Operations
Time Frame: 10 Weeks
Enduring Understanding: Mathematical ideas can be expressed using the language of mathematics.
Essential Questions: 1. In what ways can mathematical ideas be expressed?
2. Why do we use variables in mathematics?
Concept/Topic
LANGUAGE
Content/Standard
7-2.6
Translate between
standard form and
exponential form.
Vocabulary
Development
base,
exponent,
squared,
cubed, prime
factorization
Suggested Instructional Activities/
Extension Activities
Assessment
Strategies



Monitor Student
Progress
Oral Questioning
SC Test Prep Pgs.
11-12
Resources


Concept Activity “Finding Rules of Exponents”
SMART Board download


Text Page 193
smarttech.com

Worktext 1B

Text Page 14

Pgs. 6-10 & 14-16

ADDITIONAL RESOURCES:
7-2.7
Translate between
standard form and
scientific notation.
(large)
scientific
notation,
exponential
form, standard
form




Monitor Student
Progress
TeacherGenerated Quiz
Oral Questioning
SC Test Prep Pgs.
13-14
ADVANCED RESOURCES:
 “A Traveler’s Tale”

SMART Board download

Springboard MS II
page 45
smarttech.com

“Scientific Notation with a Calculator”
Technology Lab
Worktext 1D

Text Page 209

Pages 14-16

Website

 Brainpop – “Standard & Scientific Notation”
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:
533576794
8/2/10
300 South Catawba Street, Lancaster SC 29720
-1-
Mathematics Curriculum Map G/T
Concept/Topic
Content/Standard
7-2.4
Understand the meaning
of absolute value.
Vocabulary
Development
absolute value


8-2.5 Apply the concept of
absolute value.


7-2.8
Generate strategies to
add, subtract, multiply,
and divide integers.
8-2.1 Apply an algorithm to add,
subtract, multiply, and divide
integers.
integer,
positive,
negative
numerical
expressions
addititive
inverse,
opposite,
difference,
mean
Suggested Instructional Activities/
Extension Activities
Assessment
Strategies




Monitor Student
Progress
TeacherGenerated Quiz
on 7-2.4, 7-2.6, 72.7
Oral Questioning
SC Test Prep Pgs.
7-8
Monitor Student
Progress
TeacherGenerated quizzes
on individual
operations with
integers
Oral Questioning
SC Test Prep 1516


Worktext 2A

Pgs. 22-24

Brainpop – “It’s the Distance From Zero”

Website

website

Text pg 39

Springboard MS II
page 291

Website
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:

http://www.coolmath.com/prealgebra/06-order-ofoperations/index.html

“Mean, Median, Mode, and Range”

Melody’s Music Solution”

Worktext 2B, 2C, 2D

Algebraic Thinking Integer Chips lessons

Brainpop – “Adding & Subtracting Integers”
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:
533576794
8/2/10
300 South Catawba Street, Lancaster SC 29720
-2-
Resources
Mathematics Curriculum Map G/T
Concept/Topic
Content/Standard
7-2.10 Understand the inverse
relationship between
squaring and finding the
square roots of perfect
squares.
Vocabulary
Development
inverse
relationship
Suggested Instructional Activities/
Extension Activities
Assessment
Strategies



Monitor Student
Progress
Oral Questioning
SC Test Prep 1920
Resources

Text pages 550-553

Holt text

Worktext 8C

Pgs. 205-207

Brainpop – “Square Roots, No, Not From Robot Trees”

Website
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:
7-2.2
7-2.3
Represent the location of
rational
rational numbers and
number,
square roots of perfect
square root,
squares on a number
perfect square
line.

Compare rational
numbers, percentages,
and square roots of
perfect squares by using
the symbols ≤, ≥, <, >,
and =.

square root,
a number
squared,
perfect square
integers
negative
positive





Monitor Student
Progress
Oral Questioning
SC Test Prep Pgs.
3-4

MS Activity Generator

Text resource disc

Worktext 2E, 8C

Pgs. 37-40 & 205207
Monitor Student
Progress
TeacherGenerated Quiz
on 7-2.10, 7-2.2,
and 7-2.3
Oral Questioning
SC Test Prep 5-6

http://www.mathplayground.com/prealgebra/04-signednumbers-integers/index.html

Website

Page 27

Textbook

Worktext 2A, 2E, 5A, 5D, 8C

Pgs. 22-24 & 3740 & 120-124 &
134-136 & 205207
Text Page 181

Common
factor, GCF,
relatively
prime

Brain Game “Common Factor Commotion”
ADDITIONAL RESOURCES:
Power
exponent
533576794
8/2/10
ADVANCED RESOURCES:
300 South Catawba Street, Lancaster SC 29720
-3-
Mathematics Curriculum Map G/T
Concept/Topic
Content/Standard
8-2-4 Compare rational and
irrational numbers by
using the symbols ≤, ≥,
<, >, and =.
7-2.9
Apply an algorithm to
multiply and divide
fractions and decimals.
8-2.2 Understand the effect of
multiplying and dividing
a rational number by
another rational number.
Vocabulary
Development
Irrational
number



denominator,
numerator,
quotient,
product,
GCF,
LCM,
Reciprocal,
Multiplicative
Inverse,
prime number,
composite
number,
prime
factorization,
factor tree,
monomial
Suggested Instructional Activities/
Extension Activities
Assessment
Strategies




Resources
Monitor Student
Progress
TeacherGenerated Quiz
Oral Questioning

Brain Game “Presidential Proof”
Monitor Student
Progress
TeacherGenerated
Quizzes (one for
decimals, and one
for fractions)
Oral Questioning
SC Test Prep
Pgs.17-18

Text pages 114-115

Textbook

Worktext 3A-E


NCTM Navigations Series, Chapter 2
Pgs. 46-48, 49 –
51, 52-55, 57-62,
& 63 – 67

Text Page 236


Brain Game “Magic Square
Concept Activity “Dividing Rational Numbers”

Websites

Holt text

Brainpop – “Multiply & Divide Fractions”

http://illuminations.nctm.org/ActifityDetail.aspx?ID=29
Text Page 475
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:
7-2.1
533576794
8/2/10
Understand fractional
percent as per

Monitor Student

Text Pages 333-335, 340-341
300 South Catawba Street, Lancaster SC 29720
-4-
Mathematics Curriculum Map G/T
Concept/Topic
Content/Standard
percentages and
percentages greater
than one hundred.
Vocabulary
Development
hundred and
as a symbol



7-2.5
Apply ratios, rates, and
proportions to discounts,
taxes, tips, interest, unit
costs, and similar
shapes.
8-2.7 Apply rates ratios, and
proportions
533576794
8/2/10
rate, ratio,
discount, tax,
tips, interest,
unit cost,
similar shapes
cross product,
proportion
Suggested Instructional Activities/
Extension Activities
Assessment
Strategies




Progress
TeacherGenerated Quiz
for 7-2.1
Oral Questioning
SC Test Prep Pgs.
1-2
Monitor Student
Progress
TeacherGenerated Quiz
on 7-2.5
Oral Questioning
SC Test Prep Pgs.
9
percent of
change,
percent of
increase,
percent of
decrease,
mark up,
discount,
interest,
principle,
simple
interest,
annual
interest rate,

Worktext 5C, 5D

Pgs. 130-133,
134-136

Textbook
Resources
NCTM Navigation
Series
Pgs. 73-77, 78-81,
82-88, 89-91, 9298, 108-114, 125129, 137-142,
143-147

Text Page 326F

Text Page 351

Text Page 367

Text Page 367
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:

MS Activity Generator


“Proposing a Proportional Plan”
(Numbers & Operations)


NCTM Navigations Series, “Buying Pizza”

Worktext 4A, 4B, 4C, 4D, 4E, 4H, 5B, 5E, 5F

Research-Sales tax structures of each state (county
sales tax, state sales tax, federal tax)

“Using a Unit Rate to Solve Problems”
(Numbers & Operations)

Concept Activity “Modeling Percent of Change”

Brain Game “Going Shopping”

Technology activity
Computing Compound Interest”
300 South Catawba Street, Lancaster SC 29720
-5-
Resources
Mathematics Curriculum Map G/T
Concept/Topic
Content/Standard
Vocabulary
Development
Assessment
Strategies
Suggested Instructional Activities/
Extension Activities
balance,
compound
interest
Circle Graph Project
ADDITIONAL RESOURCES:
ADVANCED RESOURCES:
533576794
8/2/10
300 South Catawba Street, Lancaster SC 29720
-6-
Resources
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