Honors Grade 4 Mathematics

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Honors Grade 4 Mathematics is a CTY Online course which is recommended for students who have met the qualifying math score on the SCAT for math and have completed grade 3 math. The course runs for about 6 months, and the course code is HG4.

Course Description

From the CTY Online catalog:

The Honors Grade 4 Mathematics sequence covers concepts typically found in an honors mathematics curriculum and is aligned with the Common Core State Standards. This course begins with a review of grade 3 concepts and covers a full-year honors curriculum to prepare students for Grade 5 Mathematics. Lessons are provided through interactive videos, online interactives, graded assessments and projects. Students develop mathematical reasoning, learn critical thinking skills, and acquire problem solving techniques to investigate and explore Grade 4 mathematics.

Topics include:

  • whole numbers operations
  • algebraic thinking and basic number theory
  • decimals
  • fraction concepts
  • fraction operations
  • ratios
  • integers
  • measurement
  • data and statistics
  • geometry
  • sets and sequences

List of Topics

Whole Number Operations

  • Multiplying Whole Numbers
  • Dividing Whole Numbers
  • Exponents
  • Simplifying Expressions
  • Properties of Whole Numbers

Algebraic Thinking and Basic Number Theory

  • Translating Expressions
  • Rules of Divisibility
  • Factors and Multiples
  • Prime and Composite Numbers and Prime Factorization
  • Greatest Common Factor (GCF) and Least Common Multiple (LCM)

Decimals

  • Comparing and Ordering Decimals
  • Adding and Subtracting Decimals
  • Multiplying Decimals
  • Dividing Decimals
  • Scientific Notation

Fraction Concepts

  • Equivalent Fractions and Simplifying Fractions
  • Comparing and Ordering Fractions
  • Converting Between Fractions and Decimals
  • Percents

Fraction Operations

  • Adding and Subtracting Fractions
  • Adding and Subtracting Mixed Numbers
  • Multiplying Fractions and Mixed Numbers
  • Dividing Fractions and Mixed Numbers

Ratios

  • Finding Ratios
  • Equivalent Ratios
  • Ratios and Rates

Measurement and Integers

  • Customary Units of Measure
  • Metric Units of Measure
  • Introduction to Integers
  • Elapsed Time

Data and Statistics

  • Coordinate Plane
  • Bar Graphs, Line Graphs and Histograms
  • Mean, Median, Mode, Range

Geometry

  • Lines and Angles
  • Properties of Polygons
  • Perimeter and Area of Parallelograms and Triangles
  • Properties of Three Dimensional Figures
  • Volume

Sets and Sequences

  • Set Notation
  • Operations with Sets
  • Sequences
  • Roman Numerals