Segment A of Mathematics 5 teaches that numbers can represent quantity, position, location and relationships, and that decimals can be computed using much the same processes as whole numbers and are useful in many practical situations. Students learn that fractions can be used to represent part of a whole, and rounding techniques can be used to estimate the solution to a problem.

In Segment B of Mathematics 5, students learn that geometric figures have unique characteristics that allow for classification. In addition, students will gain practice with the ability to measure and convert between measurements in different units to achieve accuracy in measurement. Other lessons include the ability to display and analyze data to be able to make predictions, and that patterns in data can be expressed using algebraic symbols in addition to coordinate graphs.

 

PRE-REQUISITES: None

ESTIMATED COMPLETION TIME: 32-36 weeks or approximately 125 – 135 hours

 

MAJOR TOPICS AND CONCEPTS — SEGMENT A

Whole Numbers and Number Theory

  • Integers and Ordering
  • Addition of Whole Numbers
  • Subtraction of Whole Numbers
  • Multiplication of Whole Numbers
  • Division of Whole Numbers
  • Order of Operations
  • Prime and Composite Numbers
  • Factors and Multiples
  • Inequalities

Decimals

  • Place Value
  • Ordering Decimals
  • Addition of Decimals
  • Subtraction of Decimals
  • Multiplication of Decimals
  • Division of Decimals
  • Money Problems

Fractions

  • Improper Fractions and Mixed Numbers
  • Comparison and Ordering of Fractions
  • Addition of Fractions
  • Subtraction of Fractions
  • Multiplication of Fractions
  • Division of Fractions
  • Decimals and Fractions
  • Applications of Fractions

Rounding and Estimation

  • Rounding Whole Numbers
  • Rounding Decimals
  • * Estimating Sums and Differences with Whole Numbers
  • Estimating Sums and Differences with Decimals
  • Applications involving Addition and Subtraction
  • Estimating Products
  • Estimating Quotients
  • Applications involving Multiplication and Division

MAJOR TOPICS AND CONCEPTS — SEGMENT B

Geometry

  • Lines, Rays and Segments
  • Triangles
  • Quadrilaterals
  • Polygons
  • Circles
  • Symmetry
  • Transformations
  • 3-Dimensional Figures

Measurement

  • Units of Measurement
  • Temperature
  • Time
  • Converting Measurement Units
  • Adding and Subtracting Measurements
  • Tools of Measurement
  • Perimeter
  • Area

Data Analysis and Probability

  • Reading Tables
  • Line and Bar Graphs
  • Pictographs and Histograms
  • Circle Graphs
  • Measures of Central Tendency
  • Probability
  • Odds

Algebra and Coordinate Geometry

  • Mathematical Patterns
  • Writing Algebraic Expressions and Equations
  • Evaluating Functions
  • Function Tables
  • Coordinate Graphs
  • Solving Equations

 

LINKS TO FULL COURSE CURRICULUM MAPS

SEGMENT A

SEGMENT B