Core Math: Grade 4

Detailed Table of Contents

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 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
  • 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 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

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