Expressions and
Equations
Objectives:
* Simplify and evaluate expressions using properties and
order of operations
* Write expressions
* Add, subtract, multiply, and divide to solve equations
* Analyze and solve problems using skills and strategies
Lessons:
1. Use Addition Properties to Evaluate Expressions
Vocabulary:
evaluate, algebraic expression, variable
2. Use Multiplication Properties to Evaluate Expressions
3. Order of Operations
4. Use the Distributive Property to Evaluate Expressions
5. Evaluate Expressions With Frations
6. Problem-Solving Skill: Choose the Expression
7. Write Addition and Subtaction Expressions
Vocabulary:
algebraic expression
8. Write Multiplication and Division Expressions
Vocabulary:
algebraic expression
9. Write Expressions With Fractions
10. Probelm-Solving Strategy: Write an Expression
11. Equations With Addition and Subtaction
Vocabulary:
inverse operations
12. Equations With Muliplication and Division
13. Equations With fractions
Vocabulary:
reciprocal
14 Problem-Solving Application: Use an Equation
Resources:
Practice book for Homework, Reteach book, Challenge book, Problem of the Day,
Worksheets, Technology
Chapter End:
Extra Practice, Homework Quizzes, Chapter Review, Chapter Test
Integers and
Rational Numbers
Objectives:
* Write, compare, and order integers and rational numbers
* Add, subtract, multiply, and divide integers
* Analyze and solve problems using skills and strategies
Lessons:
1. Integers
Vocabulary:
integers, positive integers, negative integers, opposite numbers, absolute
value
2. Compare and Order Integers
3. Problem-Solving Strategy: Draw a Diagram
4. Add Integers
5. Subtract Integers
6. Multiply Integers
7. Divide Integers
8. Problem-Solving Skill: Choose the Operation
9. Rational Numbers
Vocabulary:
Rational numbers
10. Rational Numbers and Their Properties
Vocabulary:
Additive inverse
11. Problem-Solving Application: Use Integers
Resources: Practice
book for Homework, Reteach book, Challenge book, Problem of the Day,
worksheets, Technology
Chapter End:
Homework Quizzes, Extra Practice, Chapter Review, Chapter Test
Operations With
Fractions
Objectives:
* Add and subtract fractions and mixed munbers with like and
unlike denominators
* Multiply fractions and mixed numbers
* Divide fractions and mixed numbers
* Determine appropriate customary units of length, capacity,
and weight
* Analyze and solve problems using skills and strategies
Lessons:
1. Add and Subtract Fractions With Like Denominators
2. Add Fractions and Mixed Numbers
Vocabulary: least common
multiple (LCM)
3. Subract Fractions and Mixed Numbers
4. Problem-Solving Skill: Multistep Prblems
5. Multiply Fractions
Vocabulary: prime
factorization
6. Multiply Mixed Numbers
7. Reciprocals
Vocabulary: reciprocal,
invert
8. Divide by a Fraction
9. Divide Fractions and Whole Numbers
10. Divide Mixed Numbers
11. Problem-Solving Strategy: Solve a Simpler Problem
12. Customary Units of Length
13. Customary Units of Capacity and Weight
14. Problem-Solving Application: Use Measurement
Resources:
Practice
book for homework, reteach book, challenge book, problem of the day,
technology
Chapter
End: Extra
practice, chapter review, homework quizzes, and chapter test
Fractions and Number
Theory
Chapter Objectives
* Find factors, prime numbers, exponents, prime
factorizations, and use divisibility rules
* Find greatest common factor and least common multiple
* Find equivalent fractiosn and write fractions in simplest
form
* Compare and order fractions, mixed numbers, and decimals
* Analyze and solve problems using skills and strategies
Lessons:
-
factors and prime number
Vocabulary: prime
number, composite number
2. Exponents
Vocabulary: exponent,
base
3. Prime Factorization
Vocabulary: prime
factorization
4. Divisibility Rules
5. Greatest common factor (GCF)
Vocabulry: greatest
common factor, greatest common divisor
6. Least Common Multiple (LCD)
Vocabular: least common
multiple
7. Problem-Solving Strategy: Use Logical Thinking
8. Write Equivalent Fractions
Vocabulary: equivalent
fractions
9. Simplest Form
Vocabulary: simplest
form
10. Compare and Order Fractions
Vocabulary: common
denominator, least common denominator (LCD)
11. Problem-Solving Skill: Interpreting Remainders
12. Fractions, Mixed Numbers, and Decimals
13 Terminating and Repeating Decimals
Vocabulary: terminating decimal, repeating decimal
14. Problem-Solving Application: Use Fractions in a Bar
Graph
Resources:
Practice
book for homework, Reteach, Challenge book, Problem of the Day, Technology
Chapter End:
Extra
Practice, Chapter Review, and Chapter Test
DATA
ANALYSIS AND STATISTICS
Statistics and Graphing:
-
Use Statistics
-
Read and Make Double Bar Graphs
-
Frequency Tables and Histograms
-
Read and Make Double Line Graphs
-
Problem-solving Skill: Use a Graph
Analyzing and Representing Data
-
Choose the Most Useful Statistical Measure
-
Cluster, Gaps, and Outliers
-
Problem-Solving Strategy: Make a List
-
Stem-and -Leaf Plots
-
Box-and Whisker Plots
-
Problem-Solving Application: Use a Diagram
Objectives:
-
Find, use, and analyze statistics
-
Read and make double bar graphs, double
line graphs, frequency tables and histograms
-
Read and make stem-and-leaf plots and box
and whisker plots
-
Analyze and solve problems using skills
and strategies
Vocabulary:
-
Data set
-
Double bar graph, scale, interval
-
frequency table, histogram
-
double line graph
-
measures of central tendency
-
cluster, gap, outlier
-
stem-and-leaf plot, stem, leaf
-
box-and-whisker plot, quartile, extreme
Resources:
Guided Practice and Independent Practice
of the textbook, Reteach, Practice, Challence, Homework (minimum of four
problems), Problem of the Day, Powerpoint Presentations, Hands on Activities.
Chapter End
-
Extra Practice (toward the end of the
chapter in the textbook)
-
Chapter Review
-
Pretest
-
Chapter assessment
Operations
With Whole Numbers and Decimals
Suggested Pacing:
18 days
Lesson 1:
Place Value
Objective:
Read, write, and identify place value of digits in whole numbers and decimals
through billions and millionths including powers of 10
Vocabulary:
ten thousandth, hundred thousandth, millionth
Resources:
Practice, Reteach, Challenge, Problem of the Day, and Homework
Chapter Preview:
This chapter reviews the concepts of place value and computation with whole
numbers and decimals.
Procedure:
in their math journals, students are to solve the "Problem of the day", a
daily routine, as soon as they are settled.
Problem of the day:
How many boxes of one thousand flyers does a politician need in order to mail
one flyer to each home in a city with one million homes? After
discussion, students are to take turns at identifying values of digits in
given numbers, explaining how to read decimal numbers, and writing whole
numbers and decimal numbers in standard form, word form, short form, and
expanded form. Then in groups, students are to work through exercises in
Guided practice while supporting their answers with explanations.
Assess and Close:
to check for comprehension, a number is written on the board such as 5.000048
and students are instructed to write it in word form. then ask students to
write, for example, hundred nine millionths in standard form.
Inform students now that they learned
the place values of digits from millionths to hundred billions, they will use
their understanding to compare and order whole numbers and decimals.
Lesson 2: Compare and Order Numbers
Objective: Compare, order, and round whole
numbers and decimals
Lesson Overview: Students use place value
to compare, order, and round whole numbers through hundred billions and
decimals through millionths. they also develop a sense of the magnitude of
numbers.
Procedure:
Problem of the day: as groups, students
use a number line to describe the locations of ex. 0.276 and 0.285 using the
words right and left in their answers.
work through exercises 1-2 and 4 on page 7
with students. have students explain how they found their answers.
Assess: Teacher writes 0.0612 and 0.0621
on the board. Ask students to explain how to compare the above numbers.
Lesson 3: Round Numbers
Objective: Compare, order, and round whole
numbers and decimals
Procedure: