LEARN NC

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

Integrated Mathematics 1

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 perform operations with numbers and expressions to solve problems.

Objective 1.01

Write equivalent forms of algebraic expressions to solve problems.

  • Apply the laws of exponents.
  • Operate with polynomials.
  • Factor polynomials.

Objective 1.02

Use algebraic expressions, including iterative and recursive forms, to model and solve problems.

Goal 2

Geometry and Measurement - The learner will use properties of geometric figures to solve problems.

Objective 2.01

Use the length, area, and volume of geometric figures to solve problems. Include arc length, area of sectors of circles; lateral area, surface area, and volume of three-dimensional figures; and perimeter, area, and volume of composite figures.

Objective 2.02

Develop and apply properties of solids to solve problems.

Goal 3

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

Objective 3.01

Use graph theory to model relationships and solve problems.

Objective 3.02

Use theoretical and experimental probability to model and solve problems.

  • Use addition and multiplication principles.
  • Calculate and apply permutations and combinations.
  • Create and use simulations for probability models.
  • Find expected values and determine fairness.

Objective 3.03

Create linear and exponential models, for sets of data, to solve problems.

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

Goal 4

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

Objective 4.01

Use linear functions or inequalities 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 4.02

Use exponential functions to model and solve problems; justify results.

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

Objective 4.03

Use systems of linear equations or inequalities in two variables to model problems and solve graphically.