Montana- Mathematics: Grades 9-12

Content Standards    Adopted:

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  2. State Correlations
  3. Montana
  4. Mathematics: Grades 9-12

3: Students use algebraic concepts, processes, and language to model and solve a variety of real-world and mathematical problems.

3.1: use algebra to represent patterns of change.

Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences

3.3: solve algebraic equations and inequalities: linear, quadratic, exponential, logarithmic, and power.

Quadratic Inequalities - Activity A
 Roots of a Quadratic
 Solving Equations By Graphing Each Side
 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division

3.4: solve systems of algebraic equations and inequalities, including use of matrices.

Linear Programming - Activity A
 Special Types of Solutions to Linear Systems
 Systems of Linear Inequalities (Slope-intercept form) - Activity A

4: Students demonstrate understanding of shape and an ability to use geometry.

4.1: construct, interpret, and draw three-dimensional objects.

Prisms and Cylinders - Activity A
 Pyramids and Cones - Activity A

4.2: classify figures in terms of congruence and similarity and apply these relationships.

Congruence in Right Triangles
 Constructing Congruent Segments and Angles
 Perimeters and Areas of Similar Figures
 Proving Triangles Congruent
 Similar Figures - Activity A
 Similar Polygons

4.4: deduce properties of figures using transformations, coordinates, and vectors in problem solving.

Vectors

4.5: apply trigonometric ratios (sine, cosine and tangent) to problem situations involving triangles.

Sine and Cosine Ratios - Activity A
 Sine, Cosine and Tangent
 Tangent Ratio

5: Students demonstrate understanding of measurable attributes and an ability to use measurement processes.

5.4: apply the appropriate concepts of estimates in measurement, error in measurement, tolerance, and precision.

Triple Beam Balance

6: The students demonstrate understanding of and an ability to use data analysis, probability, and statistics.

6.2: apply measures of central tendency and demonstrate understanding of the concepts of variability and correlation.

Correlation
 Line Plots
 Mean, Median and Mode
 Solving Using Trend Lines

6.4: use experimental probability, theoretical probability, and methods to represent and solve problems, including expected values.

Compound Independent Events
 Compound Independent and Dependent Events
 Geometric Probability - Activity A
 Independent and Dependent Events
 Polling: City
 Probability Simulations
 Theoretical and Experimental Probability

7: Students demonstrate understanding of and an ability to use patterns, relations and functions.

7.1: describe functions and their inverses using graphical, numerical, physical, algebraic, and verbal mathematical models or representations.

Cosine Function
 Cubic Function Activity
 Exponential Functions - Activity A
 Fourth-Degree Polynomials - Activity A
 General Form of a Rational Function
 Introduction to Functions
 Linear Functions
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling
 Polynomials and Linear Factors
 Quadratic and Absolute Value Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form - Activity A
 Radical Functions
 Rational Functions
 Sine Function
 Tangent Function
 Using Algebraic Equations
 Using Tables, Rules and Graphs

7.2: analyze the graphs of the families of polynomial, rational, power, exponential, logarithmic, and periodic functions.

Cubic Function Activity
 Exponential Functions - Activity A
 Fourth-Degree Polynomials - Activity A
 General Form of a Rational Function
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling
 Rational Functions
 Sine Function
 Tangent Function
 Translating and Scaling Sine and Cosine Functions - Activity A

7.3: analyze the effects of parameter changes on the graphs of functions and relations, including translations.

Functions Involving Square Roots
 Parabolas - Activity A
 Roots of a Quadratic
 Translating and Scaling Functions
 Translating and Scaling Sine and Cosine Functions - Activity A
 Using Tables, Rules and Graphs

7.4: model real-world phenomena with a variety of functions.

Cosine Function
 Cubic Function Activity
 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Fourth-Degree Polynomials - Activity A
 General Form of a Rational Function
 Logarithmic Functions - Activity A
 Logarithmic Functions: Translating and Scaling
 Modeling Linear Systems - Activity A
 Quadratic and Absolute Value Functions
 Quadratics in Factored Form
 Quadratics in Polynomial Form - Activity A
 Radical Functions
 Rational Functions
 Sine Function
 Tangent Function

7.5: use graphing for parametric equations, three-dimensional equations, and recursive relations.

Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Geometric Sequences
 Point-Slope Form of a Line - Activity A
 Slope-Intercept Form of a Line - Activity A

Correlation last revised: 11/13/2008

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.