Intro To Math
standard course of study
INTRODUCTORY MATHEMATICS
High School Grades
Introductory Mathematics provides students a survey of preparatory topics for high school mathematics, including the foundations for high school algebra and geometry. Appropriate technology, from manipulatives to calculators, should be used regularly for instruction and assessment.
Number and Operations Competency Goal 1 The learner will understand and compute with real numbers.
Objectives 1.01 Develop number sense for the real numbers.
Geometry and Measurement Competency Goal 2 The learner will use properties and relationships in geometry and measurement concepts to solve problems. Objectives 2.01 Determine the effect on perimeter, area or volume when one or more dimensions of two- and three-dimensional figures are changed.
2.02 Apply and use concepts of indirect measurement.
2.03 Represent problem situations with geometric models.
2.04 Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.
2.05 Identify, predict, and describe dilations in the coordinate plane.
Data Analysis and Probability Competency Goal 3 The learner will understand and use graphs and data analysis.
Objectives 3.01 Collect, organize, analyze, and display data (including scatterplots) to solve problems.
3.02 Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions.
3.03 Identify misuses of statistical and numerical data.
Algebra Competency Goal 4 The learner will understand and use linear relations and functions.
Objectives 4.01 Develop an understanding of function.
4.03 Solve problems using linear equations and inequalities; justify symbolically and graphically.
4.04 Solve problems using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots, and cubes and cube roots.
High School Grades
Introductory Mathematics provides students a survey of preparatory topics for high school mathematics, including the foundations for high school algebra and geometry. Appropriate technology, from manipulatives to calculators, should be used regularly for instruction and assessment.
Number and Operations Competency Goal 1 The learner will understand and compute with real numbers.
Objectives 1.01 Develop number sense for the real numbers.
- Define and use irrational numbers.
- Compare and order.
- Use estimates of irrational numbers in appropriate situations.
Geometry and Measurement Competency Goal 2 The learner will use properties and relationships in geometry and measurement concepts to solve problems. Objectives 2.01 Determine the effect on perimeter, area or volume when one or more dimensions of two- and three-dimensional figures are changed.
2.02 Apply and use concepts of indirect measurement.
2.03 Represent problem situations with geometric models.
2.04 Apply geometric properties and relationships, including the Pythagorean theorem, to solve problems.
2.05 Identify, predict, and describe dilations in the coordinate plane.
Data Analysis and Probability Competency Goal 3 The learner will understand and use graphs and data analysis.
Objectives 3.01 Collect, organize, analyze, and display data (including scatterplots) to solve problems.
3.02 Approximate a line of best fit for a given scatterplot; explain the meaning of the line as it relates to the problem and make predictions.
3.03 Identify misuses of statistical and numerical data.
Algebra Competency Goal 4 The learner will understand and use linear relations and functions.
Objectives 4.01 Develop an understanding of function.
- Translate among verbal, tabular, graphic, and algebraic representations of functions.
- Identify relations and functions as linear or nonlinear.
- Find, identify, and interpret the slope (rate of change) and intercepts of a linear relation.
- Interpret and compare properties of linear functions from tables, graphs, or equations.
4.03 Solve problems using linear equations and inequalities; justify symbolically and graphically.
4.04 Solve problems using the inverse relationships of addition and subtraction, multiplication and division, squares and square roots, and cubes and cube roots.