 ## 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

• 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
• 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 straight-sided 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 straight-sided 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
• 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 24-Hour Clock

• 24-hour time or military time
• Comparing 24-hour 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

• 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