LEARN NC

K–12 teaching and learning · from the UNC School of Education

Integrated Mathematics 4

All questions and comments about this curriculum should be directed to the North Carolina Department of Public Instruction.

Goal 1

Number and Operations - The learner will operate with complex numbers and vectors to solve problems.

Objective 1.01

Operate with vectors in two dimensions to model and solve problems

Objective 1.02

Define and compute with complex numbers.

Goal 2

Geometry and Measurement - The learner will describe geometric figures in the coordinate plane algebraically.

Objective 2.01

Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.

  • Solve using tables, graphs, and algebraic properties.
  • Interpret the constants and coefficients in the context of the problem.

Objective 2.02

Estimate the area and volume of continuously varying quantities.

Goal 3

Data Analysis and Probability - The learner will analyze data to solve problems.

Objective 3.01

Analyze univariate data to solve problems.

  • Apply and compare methods of data collection.
  • Apply statistical principles and methods in sample surveys.
  • Determine measures of central tendency and spread.
  • Recognize, define, and use the normal distribution curve.
  • Interpret graphical displays of distributions of univariate data.
  • Compare distributions of univariate data.

Objective 3.02

Create and use calculator-generated models of linear, polynomial, exponential, trigonometric, power, logistic, and logarithmic functions of bivariate data to solve problems.

  • Interpret the constants, coefficients, and bases in the context of the data.
  • Check models for goodness-of-fit; use the most appropriate model to draw conclusions or make predictions.

    • Goal 4

    Algebra - The learner will use relations and functions to solve problems.

    Objective 4.01

    Use functions (polynomial, power, rational, exponential, logarithmic, logistic, piecewise-defined, and greatest integer) to model and solve problems; justify results.

    • Solve using graphs and algebraic properties.
    • Interpret the constants, coefficients, and bases in the context of the problem.

    Objective 4.02

    Use recursively-defined functions to model and solve problems.

    • Find the sum of a finite sequence.
    • Find the sum of an infinite sequence.
    • Determine whether a given series converges or diverges.
    • Translate between recursive and explicit representations.

    Objective 4.03

    Use the composition and inverse of functions to model and solve problems.

    Objective 4.04

    Use trigonometric and inverse trigonometric functions to model and solve problems.

    • Solve using graphs and algebraic properties.
    • Create and identify transformations with respect to period, amplitude, and vertical and horizontal shifts.

    Objective 4.05

    Use polar equations to model and solve problems.

    • Solve using graphs and algebraic properties.
    • Interpret the constants and coefficients in the context of the problem.

    Objective 4.06

    Use parametric equations to model and solve problems.

    Objective 4.07

    Find the rate of change at any point of a function.