Mathematics Pacing Guide One

Seventh Grade

 
     
     

 

 

 

Holt Mathematics Course Two Lesson

 

WVCSO

 

Vocabulary

Graphing

Calculator

Activities

 

On-Line

Resources

 

Thinkfinity may be used throughout the pacing guide.

Chapter 1:  Data Toolbox

1A – Organizing Data

1-1  Populations and Samples

M.O.7.5.3

Population

Sample

Random sample

 

Tech Steps:

Random Climb

 

Instructional Guides:

Graphic Representation

 

 

 

1-2 Mean, Median, Mode and Range

 

 

 

 

 

 

M.O.7.5.3

M.O.7.5.4

Mean

Median

Mode

Range

Outlier

 A Penny for Your Height

 

 Beverage Tests

 

Celebrity Plots

 

Go for the Gold

Tech Steps:

Random Climb

 

Instructional Guides:

Graphic Representation

1-3 Frequency Tables and Stem-and-Leaf Plots

M.O.7.5.3

M.O.7.1.5

 

 

 

 

 

 

Frequency table

Cumulative frequency

Stem-and-leaf plot

Gemini Candy

 

Going, going, gone

Tech Steps:

Random Climb

 

Instructional Guides:

·       Graphic Representation

·       Percent

 

1B – Displaying Data

1-4  Bar Graphs and Histograms

M.O.7.5.3

M.O.7.1.5

Bar graph

Double-bar graph

Histogram

Collect All Ten to Win

 

2000 Olympic Games

 

How High Can You Jump?

 

Tech Steps:

Random Climb

 

Instructional Guides:

·       Graphic Representation

·       Percent

1-5 Reading and Interpreting Circle Graphs

M.O.7.1.5

M.O.7.2.8

M.O.7.5.3

Circle graph

Sector

 

Estimation Station

 

Fraction, Decimal, % Circle Graphs

 

Taste Test

Tech Steps:

Random Climb

 

Instructional Guides:

·  Graphic Representation

·  Percent

·  Using Algebra to Solve (Geometry/Measurement) Problems

 

1-6 Box and Whisker Plots

M.O.7.1.5

M.O.7.5.3

Box-and-whisker plot

First quartile

Second quartile

Third quartile

Lower extreme

Upper extreme

How Many Pair of Socks?

 

How Far to Your Birthplace?

 

How Much Water Can Abe Hold?

Tech Steps:

Random Climb

 

 

Instructional Guides:

·  Graphic Representation

·  Percent

1C – Trends and Relations in Graphs

1-7  Line Graphs

M.O.7.1.5

M.O.7.5.3

Line graph

Double-line graph

Active Wear - Adventure 10

 

Stock Market Graph

Tech Steps:

Random Climb

 

Instructional Guides:

·  Graphic Representation

·  Percent

1-8  Scatter Plots

M.O.7.1.5

M.O.7.5.3

Scatter plot

Positive correlation

Negative correlation

No correlation

A Wet Welcome Home

 

Balloons

 

Tech Steps:

Random Climb

 

Instructional Guides:

·  Graphic Representation

·  Percent

1-9  Misleading Graphs

M.O.7.1.5

M.O.7.2.8

M.O.7.5.3

No new terms

 

Tech Steps:

Random Climb

 

Instructional Guides:

·  Graphic Representation

·  Percent

·  Using Algebra to Solve (Geometry/Measurement) Problems

 

 

 

 

 

Chapter 2:  Number Theory and Algebraic Reasoning

2A – Exponents

2-1  Exponents

M.O.7.1.2

M.O.7.1.5

M.O.7.2.2

M.O.7.2.8

Power

Exponent

Base

 

A Penny Saved is  Penny Earned

 

 

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-2  Powers of Ten and Scientific Notation

M.O.7.1.2

M.O.7.1.7

M.O.7.2.2

Standard form

Scientific notation

Scientific Paper Folding

 

Large and Small Number Game

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-3  Order of Operations

M.O.7.2.2

Numerical expression

Order of operations

Mining with Fours

 

Order Some Ops

 

 

The Right Combination

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2B – Factors and Multiples

2-4  Prime Factorization

Prerequisite for M.O.7.2.8

Prime number

Composite number

Prime factorization

Factorization

 

Logic Ladder Factors

 

Priming the Numbers

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-5 Greatest Common Factor

Prerequisite for M.O.7.2.8

Greatest common factor (GCF)

Classify with Venn Diagrams

 

Finding the GCF

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-6  Least Common Multiple

Prerequisite for

M.O.7.2.8

Multiple

Least common multiple (LCM)

Finding GCF, LCM

 

Oliver's Method

 

Smart Shoppers

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2C – Beginning Algebra

2-7 Variables and Algebraic Expressions

M.O.7.2.2

Variable

Constant

Algebraic expression

evaluate

Exploring basic equations

 

Give Me a Hand or Leaf Me Alone!

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-8 Translate Words into Math

Prerequisite for M.O.7.2.2

Verbal expression

Translating Verbal to Algebra

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-9 Combining Like Terms

Prerequisite for M.O. 7.2.8

Term

Coefficient

Like terms

 

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-10 Equations and Their Solutions

Prerequisite for

M.O.7.2.5

Equation

Solution

Exploring Basic Equations

 

2-11 Solving Equations by Adding and Subtracting

M.O.7.1.4

M.O.7.2.5

Solve

Isolate the variable

Addition property of equality

Inverse operations

Subtraction property of equality

Simple Equations

Instructional Guides:

Using Algebra to Solve (Geometry/Measurement)Problems

2-12 Solving Equations by Multiplying or Dividing

M.O.7.1.4

M.O.7.1.5

M.O.7.2.5

M.O.7.2.8

Multiplication property of equality

Division property of equality

Simple Equations Learning Check

Instructional Guides:

·  Percent

·  Using Algebra to Solve (Geometry/Measurement) Problems

 

 

 

 

 

 

Chapter 3:

Integers and Rational Numbers

3A – Integers

3-1 Integers

M.O.7.1.1

 

Opposite

Integer           

Absolute value

Integer Introduction

 

Getting Negative

 

Number Line

 

Number Smash

Instructional Guides:

Percent

3-2 The Coordinate Plane

Prerequisite for M.O.7.2.5

Coordinate plane

x-axis

y-axis

origin

quadrant

ordered pair

Coordinate Plane

 

December Lites

 

Do You See What I See?

 

Flies on the Ceiling

Be the Point

 

3-3 Adding Integers

M.O.7.1.3

M.O.7.2.8

No new terms

 

Adding Integers Exploration

 

Do Opposites Attract?

 

Integers!  It All Adds Up!

Instructional Guides:

·  Percent

·  Using Algebra to Solve (Geometry/Measurement) Problems

 

 

3-4 Subtracting Integers

M.O.7.1.3

 

No new terms

What's the Difference?

 

Gaining or Losing Yards in Football

 

Number Line

Instructional Guides:

Percent

3-5 Multiplying and Dividing Integers

M.O.7.1.3

No new terms

Multiplying Integers

 

 

Instructional Guides:

Percent

3-6 Solving Equations Containing Integers

M.O.7.2.5

No new terms

 Two Step Equations

 

 

 

 

 

3B – Rational Numbers

3-7 Fractions and Decimals

Correlates with

M.O.7.1.1 and

M.O.7.1.3

Rational number

 

Instructional Guides:

Percent

3-8 Equivalent Fractions and Mixed Numbers

Correlates with

M.O.7.1.1

Equivalent fractions

Improper fraction

Mixed number

 

Instructional Guides:

Percent

3-10 Comparing and Ordering Rational Numbers

M.O.7.1.1

No new terms

 

Instructional Guides:

Percent

 

 

 

 

 

Chapter 4:  Operations with Rational Numbers

4A – Decimal Operations

4-1 Estimate with Decimals

M.O.7.1.5

 

Compatible numbers

 

Instructional Guides:

Percent

4-2 Adding and Subtracting Decimals

Correlates with M.O.7.1.5

No new terms

 

 

Instructional Guides:

Percent

4-3 Multiplying Decimals

Correlates with

M.O.7.1.5

No new terms

 

Instructional Guides:

Percent

 

 

 

 

 

4-4 Dividing Decimals by Integers

Correlates with M.O.7.1.5

No new terms

 

Instructional Guides:

Percent

4-5 Dividing Decimals and Integers by Decimals

Correlates with M.O.7.1.5

No new terms

 

Instructional Guides:

Percent

4-6 Solving Equations Containing Decimals

M.O.7.2.5

No new terms

 

 

4B Fraction Operations

4-7 Multiplying Fractions and Mixed Numbers

Correlates with M.O.7.1.3

No new terms

 

Instructional Guides:

Percent

4-8 Dividing Fractions and Mixed Numbers

Correlates with M.O.7.1.3

Reciprocal

 

 

Instructional Guides:

Percent

4-9 Estimate with Fractions

Correlates with M.O.7.1.3

No new terms

 

Instructional Guides:

Percent

4-10 Adding and Subtracting Fractions

Correlates with M.O.7.1.3

No new terms

 

Instructional Guides:

Percent

4-11 Adding and Subtracting Mixed Numbers

Correlates with M.O.7.1.3

No new terms

 

Instructional Guides:

Percent

4-12 Solving Equations Containing Fractions

M.O.7.2.5

No new terms