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Number Sense

  • Standard and Scientific Notations
  • Real Number
  • Rational Numbers
  • Properties of Number Operations
  • Inverse and Identity properties of real numbers
  • Operations on Rational Numbers
  • Fractions, Decimals and Percentages
  • Irrational Numbers
  • Terminating and Repeating Decimals
  • Estimation
  • Word Problems
  • Negative Numbers
  • Exponential notation and Rules
  • Absolute Value
Algebra and Functions
  • Use of Variables to write an expression, an equation, an inequality, or a system of equations or inequalities
  • Order of Operations
  • Simplifying Equations using identity, inverse, distributive, associative, commutative properties
  • Algebraic Terminology
  • Algebraic Representation
  • Graphical Representation
  • Powers
  • Monomonials and polynomials
  • Graph of Linear Functions
  • Linear Equations and Inequalities
  • Patterns Relation and Function
  • Using Tables and Graphs to identify independent/dependent variable
  • Algebraic Models
Measurement and Geometry
  • Visualization and Geometric Models
  • Measurement System
  • Reading Scales
  • Dimensional Analysis
  • Elements of 2-D and 3-D Figures
  • Conversion of Units
  • Geometrical Construction
  • Plotting Graphs
  • Pythagoras Theorem
  • Congruency and Similarity
  • Characteristics and properties of 2 and 3 dimensional geometric shapes
  • Transformation of shapes
  • Coordinate Geometry
  • Slope of a line
  • Perimeter,Area and Volume of 2-D and 3-D figures
  • Areas of irregular 2-D figures
  • Word Problems
Statistics, Data Analysis, and Probability
  • Data Collection:
    Line Plots
    Stem-and-leaf plot
    Box-and-whisker plot
    Frequency Tables
    Double Line Charts
    Double Bar Graphs
    Use of forms to display a single set of data or to compare two sets of data.
  • Data Representation:
    Design and conduct of investigations
    Scatter plot
    Real world problems using data different sources.
  • Data Analysis:
    Comparison and contrast of reliability of data sets
    Minimum and Maximum Values of a data set.
    Lower quartile and Upper quartile of a data set.
    Median of a data set.
  • Inferences and Predictions:
    Use of observations about differences between sets of data to make conjectures about the populations from which the data was taken.
  • Probability:
    • Probability Basics
    • Addition and Multiplication Rules
    • Probability of compound events
    • Tree Diagrams
    • Making Predictions based on theoretical probabilities.
    • Design and conduct of an experiment to test the predictions
    • Compare actual results to predict results, and explain differences.

    An Understanding and the application of the intermediate value theorem and the extreme value theorem.
Mathematical Reasoning
  • Analysis of a Problem:
    • Identifying relationships
    • Distinguishing relevant from irrelevant information
    • Identification of missing information
    • Sequencing and prioritizing information
    • Observing patterns.
  • Problem Formulation:
  • Breaking of Complex Problem in Simpler Parts
  • Estimation
  • Use of Strategies
  • Inductive and Deductive Reasoning
    Making and testing conjectures by using both inductive and deductive reasoning.
  • Use of Methods to Explain Mathematical Reasoning:
    Using a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
  • Approximation and Accuracy
  • Evaluation of Result
  • Problem Generalization

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