Lesson 16- Statistics and Probability

Probability and Predictions

• calculate probability
• make predictions
• make predictions 2
• combinations
• combinations 2
• probabilities of compound events

Basing Probability on Statistics

•  identify representative, random, and biased samples

Finding the Probability of an Outcome

•  probability of one event
• probability of opporite, mutually exclusive and overlapping events
• probability of simple events

More than One Chance for the Same Outcome

• compound events- finding the number of outcomes by counting

Finding a Dependent Probability

•  identify dependent and independent events
• probability of dependent and independent events

Lesson 15- Solving for the Base and Percent of Change

Practice the Percent Formula

• solve percent equations

Selling at a Discount

• percent of numbers and money amounts

Finding the Percent of Change

• find percent of change
• percent of change: word problems

Using a Double Bar Graph

• interpret double bar graphs
• create double bar graphs

Lesson 14- Solving for the Rate (r)

The Percent Formula/Finding the Rate

• find what percent one number is of another 
• find what percent one number is of another: word problems 
• percent- calculate tax, tips, mark-ups and more
• solve percent equations

Solve Percent Problems

• sale prices: find the original price
• convert between percent, fractions, and decimals

Circle Graphs

• circle graphs
• circle graphs 2

Lesson 13- solving for the part (p) (pp. 178-185)

Practice the Percent Formula

• Percent of a number
• percent of a number: word problems
• percent of a number: tax, discount, and more

Simple Interest Formula

• simple interest formula
• simple interest formula 2

Circle Graphs

• circle graphs
• Interpret circle graphs
• interpret circle graphs 2

Lesson 12- Percent Basics (pp. 172-177)

The Meaning of Percent

• what percentage is illustrated?
• what percent is illustrated 2

Relating Percents, Fractions, and Decimals

• convert between percents, fractions and decimals
• convert between percents, fractions, and decimals 2
• convert between percents, fractions and decimals 3

Unit 4- Lesson 11- Ratios, Proportions, and Percents (pp. 162-170)

Finding Ratios and Rates

• determine the ratio 
• complete the ratio table 
• determine the ratio 
• ratios: word problems 
• understanding ratios
• equivalent ratios
• write a ratio to describe objects in a picture

Solving Proportions

• solve proportions
• proportions
• estimate population size using proportions
• do the ratios form a proportion: word problems
• solve proportions
• solve proportions: word problems

Using a Map Scale

• scale drawings
• scale drawings 2
• scale drawings and scale factors

Lesson 10- Multiplying and Dividing Decimals (pp. 140-151)

Multiplying Decimals

• multiply two decimals
• multiply money by whole numbers and decimals
• multiply decimals and whole numbers: word problems

Dividing Decimals

• divide decimals
• divide decimals by whole numbers
• divide by powers of ten
• division with decimal quotients
• division with decimal quotients and rounding

Reading Scales

• graph decimals on number lines
• decimal number lines

Metric Conversion

• conversion tables- metric units
• compare and convert metric units
• compare and convert metric units of length
• compare and convert metric units of weight

Lesson 9- Adding and Subtracting Decimals (pp. 130-138)

Decimal Operations

• Add and subtract decimals 
• Add and subtract decimals: word problems 

Multi-step problems

• multi-step word problems

Order of Operations

• order of operations practice
• order of operations with parenthesis

Reading a Line Graph

•  interpret line graphs
• create line graphs 

Lesson 8- Decimal Basics (pp. 120-129)

Money and Decimals

• place value in decimal numbers 

Reading and Writing Decimals

• understanding decimals expressed in words 

Relating Decimals and Fractions

• model decimals and fractions
• convert fractions to decimals
• convert between fractions, decimals and mixed numbers

Comparing and Rounding Decimals

• round decimals
• round decimals 2

Using Metric Measurement

• choose the appropriate metric unit of measure

Lesson 7- Multiplying and Dividing Fractions (pp. 100-114)

Multiplying Fractions and Mixed Numbers

• Multiply two fractions 
• Multiply unit fractions by whole numbers using models 
• Multiply unit fractions by whole numbers using number lines 
• Multiply unit fractions by whole numbers: sorting 
• Multiply fractions by whole numbers 

Dividing Fractions and Mixed Numbers

• divide fractions
• divide fractions and mixed numbers
• divide fractions by whole numbers
• Divide whole numbers by fractions using models

Extra Practice

• add, subtract, multilpy and divide fractions and mixed numbers

Lesson 6- Adding and Subtracting Fractions (pp. 84-98)

Finding Common Denominators

• Least common denominator 
• Least common denominator 2 

Adding and Subtracting Fractions and Mixed Numbers

• add and subtact fractions with mixed numbers

Reading a Table

• Reading a table 1
• Reading a table 2

Using a Map

• maps with decimal distances
• maps with fractional distances
• coordinate graphs as maps

Unit 2- Lesson 5- Fractions (pp. 72-83)

Fraction Basics

• Understand Fractions- fraction bars 
• Match unit fractions to models 
• Identify halves, thirds and fourths
• Fractions of number lines
• Identify unit fractions on number lines
• Graph unit fractions on number lines

Improper and Mixed Numbers

• Convert between improper fractions and mixed numbers 1
• Convert between improper fractions and mixed numbers 2
• Convert between improper fractions and mixed numbers 3

Equivalent Fractions

• Equivalent Fractions
• Find equivalent fractions using area models
• Graph equivalent fractions on number lines 
• Equivalent Fractions 2
• Equivalent fractions review

Reducing a Fraction to Lowest Terms

• Reducing fractions to lowest terms 1
• Reducing fractions to lowest terms 2
• Reducing fractions to lowest terms 3

Raising a Fraction to Higher Terms

• Patterns of equivalent fractions

Comparing Fractions

• Compare fractions
• Compare fractions with like and unlike denominators

Reading Measurement Tools

• Measuring using an inch ruler
• Read a thermometer
• Convert mixed customary units

Lesson 4- Squares, Cubes, and Square Roots (pp. 52-63)

Finding Squares and Cubes

• Finding Squares and Cubes 
• Finding Square Roots 
•  Finding Squares and Cubes 2
• Square root of perfect squares 

Using Formulas

Area of a Square

•  Area of squares and rectangles
• Area of squares and rectangles 2 
• Area of squares and rectangles- word problems 
• Area between 2 rectangles 1 
• Area between 2 rectangles 2 
• Area between 2 rectangles 3 

Volume of Rectangular Solids and Cubes

•  Volume of rectangular prisms made of unit cubes
• Volume of cubes and rectangular prisms 
• Volume 
•  Volume of cubes and rectangular prisms 2

Lesson 3- Multiplying and Dividing Whole Numbers (pp. 36-49)

Multiplying Whole Numbers

• Multiply 2 digit by 2 digit whole numbers
• Mutiply 2 digits- complete the missing steps 
• Multiply 2 digit by 3 digit whole numbers
• Multiply 2 digit whole numbers- word problems
• Multiply by 3 digit numbers

Diving Whole Numbers, Remainders & Zeros in the Answer

• Division facts to 12
• Division facts to 12- word problems
• Division facts to 12- word problems 2
• Divide larger numbers by 2 digit numbers 
• Divide larger numbers by 2 digits- word problems 
• Long division word problems

• Long division with remainders
• Divide by 1- digit numbers- interpret remainders

• Divide numbers ending in zeros

Writing and Solving Equations

• Write variable expressions
• Evaluate variable expressions
• Write equations to represent word problems
• Write equations to represent word problems 2 

Solving Word Problems

• Add, subtract, multiply & divide whole numbers- word problems 1
• Add, subtract, multiply & divide whole numbers- word problems 2

Finding Mean, Median and Mode

• calculate mean, median and mode
• Interpret charts to find mean, median and mode

Area of a Rectangle

• Area of a rectangle 
• Area of squares and rectangles 
• Area of figures made of unit squares 

Lesson 2- Adding and Subtracting Whole Numbers (pp. 22-31)

Adding Whole Numbers & Subtracting Whole Numbers

• Add and subtract whole numbers up to billions
• Add and subtract whole numbers: word problems

Perimeter

• Perimeter
• Perimeter: find the missing side length
• Perimeter 2

Extra or Not Enough Information

• Word problems with extra or missing information 1
• Word problems wtih extra or missing information 2

Using a Bar Graph

• Interpret bar graphs 1
• Interpret bar graphs 2
• Create bar graphs 1
• Create bar graphs 2

Unit 1-Lesson 1: Number Sense (pp. 10-17)

Place Value

•  Identify the digit with a particular place value
• Place value names 
• Place value models  
• Place values in whole numbers

Reading and Writing Whole Numbers

• Word names for numbers 1
• Word names for numbers 2
• Word names for numbers 3

Comparing Whole Numbers

• Compare numbers up to billions

Rounding

• Rounding 1
• Rounding 2

Estimation

• Estimate customary measurements
• Estimate products

Number Line

• Integers on number lines