 ## UNIT 1: DECIMAL BASICS

Lesson 1.1 - Decimal Numbers

• Whole numbers and fractions
• Mixed numbers
• Decimal numbers
• Decimal places
• How to say decimals
• Money and decimals

Lesson 1.2 - Changing Decimals to Fractions

• Parts of a fraction
• Changing decimals to fractions
• Reducing fractions to lowest terms

Lesson 1.3 - Comparison Symbols

• Greater than symbol
• Less than symbol
• Comparing whole numbers

Lesson 1.4 - Comparing Decimals

• Showing decimal values in grids and pictures
• Comparing decimal values in pictures
• Comparing decimal numbers from left to right
• Adding zeros to decimals to compare numbers of equal length

Lesson 1.5 - Rounding Decimals

• Rounding to nearest whole number
• Rounding to the nearest decimals for a selected decimal place value

Lesson 1.6 - Changing Fractions to Decimals

• Changing fractions to decimals with denominators in base ten
• Changing fractions to decimals by dividing the numerator by the denominator
• Common fractions and equivalent decimal numbers

## UNIT 2: ADDITION & SUBTRACTION WITH DECIMALS

• Place value alignment in adding decimal numbers
• Make decimal numbers the same length by adding zeros
• Including decimal point after a whole number when adding to decimal numbers

Lesson 2.2 - Subtracting Decimals

• Place value alignment in subtracting decimal numbers
• Make decimal numbers the same length by adding zeros

Lesson 2.3 - Adding & Subtracting Decimals - Word Problems

• Using addition in word problems to combine or increase quantities
• Using subtraction in word problems to take away or find the difference in quantities
• Using full statements and measurement units in answer to word problems

## UNIT 3: MULTIPLICATION WITH DECIMALS

Lesson 3.1 - Multiplying Decimals by Tens

• Moving decimal point to the right when multiplying decimals by base ten numbers

Lesson 3.2 - Multiplying Decimals by Tenths

• Moving decimal point to the left when multiplying decimals by base ten decimal numbers
• Adding a zero left of a decimal point if there is no whole number part

Lesson 3.3 - Multiplying Decimals

• Counting decimal places in the numbers multiplied to use in the product
• Multiplying dollars and rounding to two decimal places

Lesson 3.4 - Multiplying Decimals - Word Problems

• Calculating area using decimals
• Working with unit prices

## UNIT 4: DIVISION WITH DECIMALS

Lesson 4.1 - Dividing by Tens or Tenths

• Moving decimal point to the left when dividing by base ten
• Moving decimal point to the left when dividing by decimal number in base ten

Lesson 4.2 - Dividing Decimals by Whole Numbers

• Long division of decimal numbers by decimal numbers
• Converting a decimal divisor to a whole number and changing the decimal place in the dividend and quotient
• Adding zeros to dividend if needed to complete division
• Repeating decimals

Lesson 4.3 - Dividing Decimals by Decimals

• Regrouping mixed numbers for addition
• Converting mixed numbers to improper fractions for addition
• Recording sum of mixed numbers as a mixed number

Lesson 4.4 - Dividing Decimals - Word Problems

• Using division in word problems to find a number of equal parts

## UNIT 5: MIXED OPERATIONS

Lesson 5.1 - Doing Mixed Operations with Decimals

• Do calculations left to right if only addition and subtraction
• Do calculations left to right if only multiplication and division
• Do multiplication and division before addition or subtraction
• Do operations in brackets first

Lesson 5.2 - Doing Mixed Operations with Decimals - Word Problems

• Using standard problem solving steps: plan, model, calculate, check, answer
• Solving word problems with unit prices or costs
• Solving word problems with time and distance

## UNIT 6: PERCENT BASICS

Lesson 6.1 - The Meaning of Percent

• The meaning of percent
• Percent as a fraction
• Percentage and percent or percentage sign

Lesson 6.2 - Changing Between Percents and Decimals

• Changing a percent to a decimal by moving the decimal point two places left
• Changing a decimal to a percent by moving the decimal point two places left

Lesson 6.3 - Changing Between Percents and Fractions

• Changing a percent to a fraction using a denominator of 100
• Reducing fractions to lowest terms
• Changing a fraction to a percent by first changing the fraction to a decimal number and then moving the decimal point two places right

Lesson 6.4 - Finding Percents - Word Problems

• Creating percent answers to word problems by finding fractions and changing to decimals and then to percents

## UNIT 7: PERCENT PROBLEMS

Lesson 7.1 - Finding a Percent of a Number

• Finding the percent of a number by changing the percent to a decimal then multiplying the number by the decimal

Lesson 7.2 - Adding & Subtracting Percents

• Subtracting percents

Lesson 7.3 - Finding Percent Increase

• Find what an amount would be after a percent increase by changing the percent increase to a decimal and multiplying the original number by the decimal then add that amount to the original number
• Find the percent increase by a change in numbers by using a fraction for the amount of increase and changing the fraction to a decimal and then to a percent

Lesson 7.4 - Finding Percent Decrease

• Find what an amount would be after a percent decrease by changing the percent decrease to a decimal and multiplying the original number by the decimal then subtract that amount to the original number
• Find the percent decrease by a change in numbers by using a fraction for the amount of decrease and changing the fraction to a decimal and then to a percent

Lesson 7.5 - Percents - Word Problems

• Using percents to find the portion of something or the amount of increase or decrease in quantities
• Use standard problem solving steps for percent problems: plan, model, calculate, check, answer

## UNIT 8: PRACTICAL PROBLEMS

Lesson 8.1 - Ratios

• Using ratios to compare things
• First term and second term in ratios

Lesson 8.2 - Calculating Proportions

• Using proportions to compare things
• Finding equivalent ratios by multiplying or dividing both terms by the same number
• Finding equivalent ratios when the first or second terms are not 1

Lesson 8.3 - Converting Measurements

• Units of measurement and measurement systems
• Using conversion ratios to change measurements

Lesson 8.4 - Converting Money

• Exchange rates and currency conversion ratios
• Making currency conversions

## APPENDICIES

• Appendix A - Finding Lowest Terms
• Appendix B - Multiplication Table
• Appendix C - Customary Units
• Appendix D - Metric Units
• Appendix E - Rules for Working with Decimals
• Appendix F - Glossary