UNIT 1: ADDITION AND SUBTRACTION OF FRACTIONS
Lesson 1.1  Adding and Subtracting Like Fractions
 Like fractions with common denominators
 Adding like fractions
 Subtracting like fractions
 Reducing to lowest terms in fractions calculations
Lesson 1.2  Adding and Subtracting Unlike Fractions
 Adding unlike fractions by creating equivalent fractions with common denominators
 Subtracting unlike fractions by creating equivalent fractions with common
denominators
 Using least common denominator in fractions calculations
 Reducing to lowest terms in fractions calculations
Lesson 1.3  Adding Mixed Numbers
 Regrouping mixed numbers for addition
 Converting mixed numbers to improper fractions for addition
 Recording sum of mixed numbers as a mixed number
Lesson 1.4  Subtracting Mixed Numbers
 Regrouping mixed numbers for subtraction
 Converting mixed numbers to improper fractions for subtraction
 Recording the remainder of subtraction mixed numbers as a mixed number
Lesson 1.5  Adding and Subtracting Fractions – Word Problems
 Using addition where word problems combine or increase quantities
 Using subtraction where word problems reduce or remove quantities
UNIT 2: MULTIPLICATION WITH FRACTIONS
Lesson 2.1  Multiplying Whole Numbers by Fractions
 Converting whole numbers to fractions to multiply by another fraction
 Multiplying numerators and denominators of fraction numbers
Lesson 2.2  Multiplying Fractions by Fractions
 Multiplying numerators and denominators of fraction numbers
 Reducing the product of multiplied fractions to lowest terms
Lesson 2.3  Multiplying Mixed Numbers by Fractions
 Converting mixed numbers to improper fractions for multiplication
 Recording the product of multiplied mixed numbers as a mixed number
Lesson 2.4  Multiplying by Fractions – Word Problems
 Using multiplication where word problems combine or increase quantities many times
UNIT 3: DIVISION WITH FRACTIONS
Lesson 3.1  Dividing Whole Numbers by Fractions
 Divide by a fraction by multiplying the reciprocal of the fraction divisor – flip and multiply
 Reducing the quotient in fraction form to lowest terms
Lesson 3.2  Dividing Fractions by Fractions
 Divide a fraction by another fraction by multiplying the reciprocal of the fraction divisor
 Reducing the quotient in fraction form to lowest terms
Lesson 3.3  Dividing Mixed Numbers
 Converting mixed numbers to improper fractions for arithmetic operations
 Divide an improper fraction by multiplying the reciprocal of the fraction divisor
 Reducing the quotient in fraction form to lowest terms
Lesson 3.4  Dividing with Fractions
 Using division to separate something many times
UNIT 4: WORKING WITH FRACTIONS
Lesson 4.1  Performing Fraction Arithmetic Operations
 Rules for mixed operations
 Adding and subtracting operations are done from left to right
 Multiplying and dividing operations are done from left to right
 If mixing operations, do multiplication and division before addition and subtraction
 If brackets are used, do the operations in brackets first
Lesson 4.2  Solving Fraction Word Problems
 Standard steps for solving word problems: plan, model, calculate, check, answer
 Reading word problems carefully
UNIT 5: DECIMAL BASICS
Lesson 5.1  Decimal Numbers
 Whole numbers and fractions
 Mixed numbers
 Decimal numbers
 Decimal places
 How to say decimals
 Money and decimals
Lesson 5.2  Changing Decimals to Fractions
 Parts of a fraction
 Changing decimals to fractions
 Reducing fractions to lowest terms
Lesson 5.3  Comparison Symbols
 Greater than symbol
 Less than symbol
 Comparing whole numbers
Lesson 4.4  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 5.5  Rounding Decimals
 Rounding to nearest whole number
 Rounding to the nearest decimals for a selected decimal place value
Lesson 5.6  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 6: ADDING AND SUBTRACTING DECIMALS
Lesson 6.1  Adding 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 6.2  Subtracting Decimals
 Place value alignment in subtracting decimal numbers
 Make decimal numbers the same length by adding zeros
 Checking answer by adding from bottom up
Lesson 6.3  Adding and 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
 Carefully reading word problems
 Using full statements and measurement units in answer to word problems
UNIT 7: MULTIPLICATION WITH DECIMALS
Lesson 7.1  Multiplying Decimals by Tens
 Moving decimal point to the right when multiplying decimals by base ten numbers
Lesson 7.2  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 7.3  Multiplying Decimals
 Counting decimal places in the numbers multiplied to use in the product
 Multiplying dollars and rounding to two decimal places
Lesson 7.4  Multiplying Decimals  Word Problems
 Calculating area using decimals
 Working with unit prices
UNIT 8: DIVISION WITH DECIMALS
Lesson 8.1  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 8.2  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 8.3  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 8.4  Dividing Decimals  Word Problems
 Using division in word problems to find a number of equal parts
UNIT 9: MIXED OPERATIONS
Lesson 9.1  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 9.2  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 10: PERCENT BASICS
Lesson 10.1  The Meaning of Percent
 The meaning of percent
 Percent as a fraction
 Percentage and percent or percentage sign
Lesson 10.2  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 10.3  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 10.4  Finding Percents  Word Problems
 Creating percent answers to word problems by finding fractions and changing to decimals and then to percents
UNIT 11: PERCENT PROBLEMS
Lesson 11.1  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 11.2  Adding & Subtracting Percents
 Adding percents
 Subtracting percents
Lesson 11.3  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 11.4  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 11.5  Percent  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 12: RATIOS, PROPORTIONS, AND CONVERSION OF UNITS
Lesson 12.1  Ratios
 Using ratios to compare things
 First term and second term in ratios
Lesson 12.2  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 12.3  Converting Measurements
 Units of measurement and measurement systems
 Using conversion ratios to change measurements
Lesson 12.4  Converting Money
 Exchange rates and currency conversion ratios
 Making currency conversions
UNIT 13: TEMPERATURE MEASUREMENT
Lesson 13.1  Fahrenheit Scale
 Measuring temperature by degrees
 Fahrenheit temperature scale
 Negative temperatures
 Conditions at different Fahrenheit temperatures
 The thermometer and how it measures temperature
 The meaning of freezing point
 The meaning of boiling point
 Recording Fahrenheit temperatures with degree symbol and abbreviation for Fahrenheit
Lesson 13.2  Celsius Scale
 Celsius temperature scale
 Conditions at different Celsius temperatures
 Freezing point and boiling point on the Celsius scale
 Recording Celsius temperatures with degree symbol and abbreviation for Celsius
Lesson 13.3  Fahrenheit to Celsius Conversion
 Formula for changing Fahrenheit degrees to Celsius degrees
 Short cut approximate conversion from Fahrenheit degrees to Celsius degrees
 Conversions with negative temperatures
Lesson 13.4  Celsius to Fahrenheit Conversion
 Formula for changing Celsius degrees to Fahrenheit degrees
 Short cut approximate conversion from Celsius degrees to Fahrenheit degrees
 Conversion with negative temperatures
UNIT 14: INTERSECTIONS AND PARALLELS
Lesson 14.1  Intersecting Lines
 Intersecting lines and opposite angles
 The Opposite Angle Theorem
 Perpendicular lines
 Mathematical theorems and proof of a theorem
Lesson 14.2  Equal Angles
 Parallel lines
 Transversals
 Parallel lines and alternate angles
 The Alternate Angle Theorem
 Parallel lines and corresponding angles
 The Corresponding Angle Theorem
Lesson 14.3  Supplementary Angles
 Parallel lines and supplementary angles
 Parallel lines and interior angles
 The Interior Angle Theorem
Lesson 14.4  Angle Problem Solving
 Solving for missing angles with intersecting lines
 Solving for missing angles with parallel lines and transversals
 Applying angle theorems to solve for missing angles
UNIT 15: TRANSFORMATION OF SHAPES
Lesson 15.1  Congruency
 The properties of congruent shapes
Lesson 15.2  Translations
 Translations of shapes
 Preimage and translated image
Lesson 15.3  Reflections
 Properties of reflected shapes
 Mirror and reflected image
 Preimage and reflected image
Lesson 15.4  Rotations
 Rotation of shapes
 Preimage and rotated image
 Center of rotation
Lesson 15.5  Magnifications
 Magnification and dilation of shapes
 Magnification factor; scaling shapes; image; preimage
UNIT 16: SOLID SHAPES
Lesson 16.1  Cubes, Prisms, Pyramids
 Polyhedra
 The properties of cube shapes
 The properties of prism shapes
 The properties of pyramid shapes
Lesson 16.2  Cylinders, Cones, Spheres
 The properties of cylinder shapes
 The properties of cone shapes
 The construction of sphere shapes
Lesson 16.3  Constructing Solid Shapes
 The construction of solid shapes
 Nets of solid shapes
 Three dimensional shapes
APPENDICES
 Appendix A  Decimals and Percents Glossary
 Appendix B  Rules for Working with Decimals
 Appendix C  Geometry Glossary
 Appendix D  Geometry Facts and Theorems
