UNIT 1: FACTORS AND MULTIPLES
Lesson 1.1  Factors, Prime, and Composite Numbers
 Factors
 Multiplying factors
 Prime numbers
 Composite numbers
Lesson 1.2  Factors – Word Problems
 Word problems using factors
Lesson 1.3  Greatest Common Factor
 Common factors
 Greatest common factor
 Finding the greatest common factor
Lesson 1.4  Multiples and Least Common Multiple
 Multiples
 Skip counting
 Common multiples
 Least common multiple
 Finding the least common multiple
Lesson 1.5  Least Common Multiple – Word Problems
 Word problems using the least common multiple
UNIT 2: FRACTION CONCEPTS
Lesson 2.1  Fractions and Mixed Numbers
 The concept of a fraction
 Numerator and denominator
 Fractions in measurement
 Fraction of a set
 Fractions larger than one
 Mixed numbers
Lesson 2.2  Equivalent Fractions and Lowest Terms
 Equivalent fractions
 Using common multiples to create equivalent fractions
 Reducing fractions to lowest terms
 Using common factors to reduce fractions
Lesson 2.3  Least Common Denominator
 Common denominator
 Making common denominators
 Least common denominator
 Using least common multiple to find equivalent fractions with common denominators
Lesson 2.4  Comparison Symbols
 Less than symbol
 Greater than symbol
Lesson 2.5  Comparing Fractions
 Comparing fractions with the same denominators
 Comparing fractions with different denominators by making equivalent fractions
with common denominators
Lesson 2.6  Mixed Numbers and Improper Fractions
 Mixed numbers and improper fractions
 Converting a mixed number to an improper fraction
 Converting an improper fraction to a mixed number
UNIT 3: ESTIMATION OF FRACTIONS
Lesson 3.1  Benchmarks
 Benchmark numbers
 Benchmark fractions
 Converting mixed numbers to benchmarks
Lesson 3.2  Estimating with Benchmarks
 Replacing fractions with benchmarks
 Estimating fractions calculations using benchmarks
Lesson 3.3  Adding and Subtracting Fractions with Benchmarks
 Adding amounts using benchmarks
 Subtracting amounts using benchmarks
Lesson 3.4  Multiplying and Dividing Fractions with Benchmarks
 Using benchmarks to estimate multiplication of amounts
 Using benchmarks to estimate division of amounts
UNIT 4: ADDITION AND SUBTRACTION OF FRACTIONS
Lesson 4.1  Adding and Subtracting Like Fractions
 Like fractions with common denominators
 Adding like fractions
 Subtracting like fractions
 Reducing to lowest terms in fractions calculations
Lesson 4.2  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 4.3  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 4.4  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
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 5.4  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: LENGTH  CUSTOMARY SYSTEM
Lesson 6.1  Length
 Length and distance
 The ruler
 Customary length units: inch, foot, yard, mile
 Abbreviations for customary length units
Lesson 6.2  Perimeter
 Perimeter of straightsided shapes
 Perimeter of curved shapes
Lesson 6.3  Length Estimation
 Estimating lengths with fingers, hands, feet, and strides
Lesson 6.4  Selection of Units
 How to select appropriate customary length units
Lesson 6.5  Changing Measurement Units
 Comparing lengths with the same units of measurement
 Changing between customary length units
 Conversion factors for customary length units
UNIT 7: LENGTH  METRIC SYSTEM
Lesson 7.1  Length
 The meaning of metric prefixes: kilo, centi, milli
 Use of base ten for metric units
 The metric ruler
 Metric length units: kilometer, meter, centimeter, millimeter
 Abbreviations for metric length units
Lesson 7.2  Perimeter
 Perimeter of straightsided shapes
 Perimeter of curved shapes
Lesson 7.3  Length Estimation
 Estimating lengths with fingers, hands, and strides
Lesson 7.4  Selection of Units
 How to select appropriate metric length units
Lesson 7.5  Changing Measurement Units
 Comparing lengths with the same units of measurement
 Changing between metric length units
 Multiplying and dividing by base ten to change metric length units

UNIT 8: AREA  CUSTOMARY SYSTEM
Lesson 8.1  Area
 Area concept
 Using grids for area measurement
 Customary area units: square inches, square feet, square yards, square miles
 Abbreviation for customary square units
Lesson 8.2  Area Calculation
 Calculating area by multiplying length by width
Lesson 8.3  Area Estimation
 Using grids and map scales to estimate area
 Calculating area with estimated lengths and widths
Lesson 8.4  Selection of Units
 Selecting appropriate customary area units
UNIT 9: AREA  METRIC SYSTEM
Lesson 9.1  Area
 Metric area units: square millimeter, square centimeter, square meter, square kilometer
 Abbreviations for metric square units
Lesson 9.2  Area Calculation
 Calculating area by multiplying length by width
Lesson 9.3  Area Estimation
 Using grids and map scales to estimate area
 Calculating area with estimated lengths and widths
Lesson 9.4  Selection of Units
 Selecting appropriate metric area units
UNIT 10: VOLUME  CUSTOMARY SYSTEM
Lesson 10.1  Capacity Units
 Cubic units
 Calculating cubic volume by multiplying length by width by height
 Liquid capacity units
 Dry capacity units
 Customary liquid and dry capacity units: ounce, cup, pint, quart, gallon
 Abbreviations for customary capacity units
Lesson 10.2  Cubic Units
 Cubic units for fixed shapes
 Customary cubic units: cubic inch, cubic foot, cubic yard, cubic mile
 Abbreviations for customary cubic units
Lesson 10.3  Volume Estimation
 Estimating the volume of a rectangular prism by estimating the length of width, length and height and multiplying those lengths
Lesson 10.4  Selection of Units
 Selecting appropriate customary capacity units
 Selecting appropriate customary cubic units
Lesson 10.5  Changing Measurement Units
 Changing customary capacity units
 Changing customary cubic units
 Multiplying conversion factors to convert large units to small units
 Dividing by conversion factors to change small units to large units
UNIT 11: VOLUME  METRIC SYSTEM
Lesson 11.1  Capacity Units
 Metric capacity units: milliliter, liter, kiloliter, centiliter
 Liter size compared cubic metric measurement: 10 cm x 10 cm x 10 cm
 Milliliter size compared to metric cubic measurement: 1 cm x 1 cm x 1 cm
 kilometer size compared to cubic metric measurement: 1 m x 1 m x 1 m
 centiliter size compared to cubic metric measurement: 1 cm x 1 cm x 10 cm
 Abbreviations for metric capacity units
Lesson 11.2  Cubic Units
 Calculating cubic volume by multiplying length by width by height
 Metric cubic units: cubic millimeters, cubic centimeters, cubic meters, cubic kilometers
 Abbreviations for metric cubic units
Lesson 11.3  Volume Estimation
 Estimating the volume of a rectangular prism by estimating the length of width, length and height and multiplying those lengths
Lesson 11.4  Selection of Units
 Selecting appropriate metric capacity units
 Selecting appropriate metric cubic units
Lesson 11.5  Changing Measurement Units
 Changing metric capacity units
 Changing metric cubic units
 Multiplying conversion factors to convert large units to small units
 Dividing by conversion factors to change small units to large units
 Converting cubic meters to cubic centimeters by multiplying by 1 million
 Converting cubic centimeters to cubic millimeters by multiplying by 1000
UNIT 12: TIME
Lesson 12.1  Telling Time
 The analog clock
 Reading the analog clock
 AM and PM
 Time measurement units: second, minute, hour, day, month, year
 Abbreviations for time measurement units
Lesson 12.2  Calculating Time
 Calculating difference or change in hours and minutes
Lesson 12.3  The 24Hour Clock
 24hour time or military time
 Comparing 24hour time to regular time
Lesson 12.4  Standard Date
 Using numbers and slashes to express dates
 Standard dates using month/day/year or day/month/year
UNIT 13: LINES AND ANGLES
Lesson 13.1  Lines
 Points and lines
 Rays and line segments
 Shapes made from points, lines, surfaces, and solids
Lesson 13.2  Measuring Angles
 Angles
 How to measure angles
 Angle rotation and degrees
 Angle quarter turn; angle half turn; angle full turn
 Angle vertex
 Angle symbols
 Size of angles
Lesson 13.3  Types of Angles
 Types of angles
 Straight and right angles
 Acute and obtuse angles
 Reflex angles
 Supplementary angles
 Complementary angles
UNIT 14: PLANE SHAPES
Lesson 14.1  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 14.2  Quadrilaterals
 Plane shapes
 Squares, rhombi, parallelograms, and trapezoids
Lesson 14.3  Polygons
 Names of common polygons
 Properties of polygons
 Polygons, pentagons, hexagons, heptagons, octagons, nonagons, and decagons
Lesson 14.4  Regular Polygons
 Properties of regular polygons
Lesson 14.5  Circles
 The parts of a circle
 Using a compass to draw a circle or draw arcs
Lesson 14.6  Ellipses
 Parts of an ellipse
 Elliptical shapes
 Lines of symmetry in ellipses
UNIT 15: SOLID SHAPES
Lesson 15.1  Cubes, Prisms, Pyramids
 Polyhedra
 The properties of cube shapes
 The properties of prism shapes
 The properties of pyramid shapes
Lesson 15.2  Cylinders, Cones, Spheres
 The properties of cylinder shapes
 The properties of cone shapes
 The construction of sphere shapes
APPENDICES
 Appendix A  Decimal Arithmetic
 Appendix B  Multiplication Table
 Appendix C  Metric Prefixes and Units
 Appendix D  Customary System Units
