UNIT 1: WORKING WITH FRACTIONS
Lesson 1.1  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 1.2  Solving Fraction Word Problems
 Standard steps for solving word problems: plan, model, calculate, check, answer
 Reading word problems carefully
UNIT 2: DECIMAL WORD PROBLEMS
Lesson 2.1  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
Lesson 2.2  Multiplying Decimals  Word Problems
 Calculating area using decimals
 Working with unit prices
Lesson 2.3  Dividing Decimals  Word Problems
 Using division in word problems to find a number of equal parts
UNIT 3: MIXED OPERATIONS
Lesson 3.1  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 3.2  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 4: PERCENT BASICS
Lesson 4.1  The Meaning of Percent
 The meaning of percent
 Percent as a fraction
 Percentage and percent or percentage sign
Lesson 4.2  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 4.3  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 4.4  Finding Percents  Word Problems
 Creating percent answers to word problems by finding fractions and changing to decimals and then to percents
UNIT 5: PERCENT PROBLEMS
Lesson 5.1  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 5.2  Adding & Subtracting Percents
 Adding percents
 Subtracting percents
Lesson 5.3  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 5.4  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 5.5  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 6: RATIOS, PROPORTIONS, AND CONVERSION OF UNITS
Lesson 6.1  Ratios
 Using ratios to compare things
 First term and second term in ratios
Lesson 6.2  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 6.3  Converting Measurements
 Units of measurement and measurement systems
 Using conversion ratios to change measurements
Lesson 6.4  Converting Money
 Exchange rates and currency conversion ratios
 Making currency conversions
UNIT 7: TEMPERATURE MEASUREMENT
Lesson 7.1  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 7.2  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 7.3  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 7.4  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 8: INTERSECTIONS AND PARALLELS
Lesson 8.1  Intersecting Lines
 Intersecting lines and opposite angles
 The Opposite Angle Theorem
 Perpendicular lines
 Mathematical theorems and proof of a theorem
Lesson 8.2  Equal Angles
 Parallel lines
 Transversals
 Parallel lines and alternate angles
 The Alternate Angle Theorem
 Parallel lines and corresponding angles
 The Corresponding Angle Theorem
Lesson 8.3  Supplementary Angles
 Parallel lines and supplementary angles
 Parallel lines and interior angles
 The Interior Angle Theorem
Lesson 8.4  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 9: TRIANGLES
Lesson 9.1  Triangles
 The properties of triangles
 Vertices and interior angles in triangles
 Acute triangles
 Right triangles
 Obtuse triangles
 Use of a compass to draw arcs
Lesson 9.2  Special Triangles
 Equilateral triangles
 Isosceles triangles
 Scalene triangles
 Size of interior angles vs. side of length
 The Isosceles Triangle Theorem
Lesson 9.3  Triangle Angle Sum Theorem
 Proof of the Triangle Angle Sum Theorem
 Interior angles of triangles
Lesson 9.4  Exterior Angle Sum Theorem
 Exterior Angle Sum Theorem
 Proof of Exterior Angle Sum Theorem
Lesson 9.5  Triangle Problem Solving
 Learn how to solve for missing angles using
 Triangle theorems and angle facts
Lesson 9.6  Pythagorean Theorem
 The hypotenuse of a right triangle
 The Pythagorean Theorem
UNIT 10: POLYGONS
Lesson 10.2  Polygons
 Names of common polygons
 Properties of polygons
 Polygons, pentagons, hexagons, heptagons, octagons, nonagons, and decagons
Lesson 10.3  Regular Polygons
 Properties of regular polygons
UNIT 11: TRANSFORMATIONS OF SHAPES
Lesson 11.1  Congruency
 The properties of congruent shapes
Lesson 11.2  Translations
 Translations of shapes
 Preimage and translated image
Lesson 11.3  Reflections
 Properties of reflected shapes
 Mirror and reflected image
 Preimage and reflected image
Lesson 11.4  Rotations
 Rotation of shapes
 Preimage and rotated image
 Center of rotation
Lesson 11.5  Magnifications
 Magnification and dilation of shapes
 Magnification factor; scaling shapes; image; preimage
UNIT 12: USES OF TRANSFORMATIONS
Lesson 12.1  Similarity
 The properties of similar shapes
Lesson 12.2  Reflective Symmetry
 Reflective symmetry
 Axis of symmetry and reflected shapes
Lesson 12.3  Rotational Symmetry
 Rotational symmetry
 Center of rotational symmetry
Lesson 12.4  Tessellations I
 The tessellation or tiling of shapes
 The properties of tessellated or tiled shapes
 Interior angles of tessellated polygons
Lesson 12.5  Tessellations Ii
 The tessellation of parallelograms and distorted parallelograms
 Tessellated polygons
UNIT 13: SOLID SHAPES
Lesson 13.1  Cubes, Prisms, Pyramids
 Polyhedra
 The properties of cube shapes
 The properties of prism shapes
 The properties of pyramid shapes
Lesson 13.2  Cylinders, Cones, Spheres
 The properties of cylinder shapes
 The properties of cone shapes
 The construction of sphere shapes
Lesson 13.3  Constructing Solid Shapes
 The construction of solid shapes
 Nets of solid shapes
 Three dimensional shapes
UNIT 14: CONSTRUCTIONS
Lesson 14.1  Angle Bisectors
 Construct an angle bisector
Lesson 14.2  Perpendiculars from a Line
 Construct a perpendicular from a line
Lesson 14.3  Perpendiculars to a Line
 Construct a perpendicular to a line
Lesson 14.4  Right Bisectors
 Construct right bisectors
Lesson 14.5  The Circumcircle
 Circumcircles
 Find a circumcenter
 Construction of a circumcircle
Lesson 14.6  The Incircle
 Incircles
 Incircle and inradius
 Construction of an incircle
Lesson 14.7  Parallel Lines
 Construction of parallel lines
 Using a compass
APPENDICES
 Appendix A  Decimals and Percents Glossary
 Appendix B  Rules for Working with Decimals
 Appendix C  Geometry Glossary
 Appendix D  Geometry Facts and Theorems
