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: LENGTH - CUSTOMARY SYSTEM
Lesson 3.1 - Length
- Length and distance
- The ruler
- Customary length units: inch, foot, yard, mile
- Abbreviations for customary length units
Lesson 3.2 - Perimeter
- Perimeter of straight-sided shapes
- Perimeter of curved shapes
Lesson 3.3 - Length Estimation
- Estimating lengths with fingers, hands, feet, and strides
Lesson 3.4 - Selection of Units
- How to select appropriate customary length units
Lesson 3.5 - Changing Measurement Units
- Comparing lengths with the same units of measurement
- Changing between customary length units
- Conversion factors for customary length units
UNIT 4: LENGTH - METRIC SYSTEM
Lesson 4.1 - 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 4.2 - Perimeter
- Perimeter of straight-sided shapes
- Perimeter of curved shapes
Lesson 4.3 - Length Estimation
- Estimating lengths with fingers, hands, and strides
Lesson 4.4 - Selection of Units
- How to select appropriate metric length units
Lesson 4.5 - 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 5: AREA - CUSTOMARY SYSTEM
Lesson 5.1 - 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 5.2 - Area Calculation
- Calculating area by multiplying length by width
Lesson 5.3 - Area Estimation
- Using grids and map scales to estimate area
- Calculating area with estimated lengths and widths
Lesson 5.4 - Selection of Units
- Selecting appropriate customary area units
UNIT 6: AREA - METRIC SYSTEM
Lesson 6.1 - Area
- Metric area units: square millimeter, square centimeter, square meter, square kilometer
- Abbreviations for metric square units
Lesson 6.2 - Area Calculation
- Calculating area by multiplying length by width
Lesson 6.3 - Area Estimation
- Using grids and map scales to estimate area
- Calculating area with estimated lengths and widths
Lesson 6.4 - Selection of Units
- Selecting appropriate metric area units
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UNIT 7: VOLUME - CUSTOMARY SYSTEM
Lesson 7.1 - 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 7.2 - Cubic Units
- Cubic units for fixed shapes
- Customary cubic units: cubic inch, cubic foot, cubic yard, cubic mile
- Abbreviations for customary cubic units
Lesson 7.3 - Volume Estimation
- Estimating the volume of a rectangular prism by estimating the length of width, length and height and multiplying those lengths
Lesson 7.4 - Selection of Units
- Selecting appropriate customary capacity units
- Selecting appropriate customary cubic units
Lesson 7.5 - 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 8: VOLUME - METRIC SYSTEM
Lesson 8.1 - 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 8.2 - 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 8.3 - Volume Estimation
- Estimating the volume of a rectangular prism by estimating the length of width, length and height and multiplying those lengths
Lesson 8.4 - Selection of Units
- Selecting appropriate metric capacity units
- Selecting appropriate metric cubic units
Lesson 8.5 - 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 9: TIME
Lesson 9.1 - 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 9.2 - Calculating Time
- Calculating difference or change in hours and minutes
Lesson 9.3 - The 24-Hour Clock
- 24-hour time or military time
- Comparing 24-hour time to regular time
Lesson 9.4 - Standard Date
- Using numbers and slashes to express dates
- Standard dates using month/day/year or day/month/year
UNIT 10: LINES AND ANGLES
Lesson 10.1 - Lines
- Points and lines
- Rays and line segments
- Shapes made from points, lines, surfaces, and solids
Lesson 10.2 - 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 10.3 - Types of Angles
- Types of angles
- Straight and right angles
- Acute and obtuse angles
- Reflex angles
- Supplementary angles
- Complementary angles
UNIT 11: PLANE SHAPES
Lesson 11.1 - 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 11.2 - Quadrilaterals
- Plane shapes
- Squares, rhombi, parallelograms, and trapezoids
Lesson 11.3 - Polygons
- Names of common polygons
- Properties of polygons
- Polygons, pentagons, hexagons, heptagons, octagons, nonagons, and decagons
Lesson 11.4 - Regular Polygons
- Properties of regular polygons
Lesson 11.5 - Circles
- The parts of a circle
- Using a compass to draw a circle or draw arcs
Lesson 11.6 - Ellipses
- Parts of an ellipse
- Elliptical shapes
- Lines of symmetry in ellipses
UNIT 12: SOLID SHAPES
Lesson 12.1 - Cubes, Prisms, Pyramids
- Polyhedra
- The properties of cube shapes
- The properties of prism shapes
- The properties of pyramid shapes
Lesson 12.2 - Cylinders, Cones, Spheres
- The properties of cylinder shapes
- The properties of cone shapes
- The construction of sphere shapes
APPENDICIES
- Appendix A - Decimal Arithmetic
- Appendix B - Multiplication Table
- Appendix C - Metric Prefixes and Units
- Appendix D - Customary System Units
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