## 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

## 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
• 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

• 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
• Pre-image and translated image

Lesson 11.3 - Reflections

• Properties of reflected shapes
• Mirror and reflected image
• Pre-image and reflected image

Lesson 11.4 - Rotations

• Rotation of shapes
• Pre-image and rotated image
• Center of rotation

Lesson 11.5 - Magnifications

• Magnification and dilation of shapes
• Magnification factor; scaling shapes; image; pre-image

## 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
• 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