**Minnesota 9th-11th Grade MTAS**

**2003 Math Strands & Standards**

**SUBSTRAND/STANDARD**

9.III

**Patterns, Functions & Algebra**/ 9.III.B

**Algebra (Algebraic Thinking)**

Solve simple equations & inequalities numerically, graphically, & symbolically. Use recursion to model & solve real-world & mathematical problems.

9.IV

**Data Analysis, Statistics & Probability**/ 9.IV.A

**Data & Statistics**

Represent data & use various measures associated with data to draw conclusions & identify trends. Understand the effects of display distortion & measurement error on the interpretation of data.

9.IV.B

Probability

Use appropriate counting procedures, calculate probabilities in various ways and apply theoretical probability concepts to solve real-world and mathematical problems.

9.V

**Spatial Sense, Geometry & Measurement**/ 9.V.B

Geometry

Apply basic theorems of plane geometry, right triangle trigonometry, coordinate geometry and a variety of visualization tools to solve real-world and mathematical problems.

**9th-11th Grade—Patterns, Functions & Algebra Strand**

**2003 MN Math Standard to Benchmarks**

**With MTAS Test Specs **

3 tasks

SUBSTRAND / STANDARD / BENCHMARK**Algebra (Algebraic Thinking)**

3 tasks / 9.III.B

Solve simple equations & inequalities numerically, graphically & symbolically. Use recursion to model & solve real-world & mathematical problems. / 9.III.B.7

**MTAS Essence Statement**

**Students will solve linear equations containing one variable.**

- Operations are limited to one side of the equation.
- Equations are limited to no more than two steps.

9.III.B.11

**MTAS Essence Statement**

**Students will solve systems of two linear equations.**

- Equations have an integer slope & a whole number y-intercept.
- Graphs have a whole number solution.
- Systems have solutions in the first quadrant only.
- The coordinate graph will be no larger than 10x10.
- Inequalities will only be solved graphically.

**9th-11th Grade—Data Analysis, Statistics & Probability Strand**

2003 MN Math Standard to Benchmarks

With MTASTest Specs

5 tasks

SUBSTRAND / STANDARD / BENCHMARKData & Statistics

2 tasks / 9.IV.A

Represent data & use various measures associated with data to draw conclusions & identify trends. Understand the effects of display distortion & measurement error on the interpretation of data. / 9.IV.A.1

MTAS Essence Statement

Students will analyze graphs.

- Graphs are limited to circle graphs, bar graphs, histograms & scatter plots.
- Items will not have more than five data categories.
- Circle graphs may have at most five sectors.
- Scales are in increments appropriate to the application.

Probability

3 tasks / 9.IV.B

Use appropriate counting procedures, calculate probabilities in various ways & apply theoretical probability concepts to solve real-world & mathematical problems. / 9.IV.B.1

MTAS Essence Statement

Students will count possible combination outcomes.

- Items may not include permutations.
- Items limited to outcomes less than or equal to 12.

9.IV.B.2

MTAS Essence Statement

Students will calculate simple probabilities.

- Probabilities will be stated in percent or fraction form (the number of successes over the number of possibilities).
- Items may involve independent events.
- Items may not include conditional probabilities.

9th-11th Grade

Spatial Sense, Geometry & Measurement

2003 MN Math Standard to Benchmarks

With MTASTest Specs

1 task

SUBSTRAND / STANDARD / BENCHMARKGeometry

1 task / 9.V.B

Apply basic theorems of plane geometry, right triangle trigonometry, coordinate geometry and a variety of visualization tools to solve real-world and mathematical problems. / 9.V.B.3

MTAS Essence Statement

Students will use properties of two- & three-dimensional figures to solve problems.

- Situations that include finding surface area will include a net of the shape.
- Situations may include finding area, perimeter, volume & surface area.

Christy Hemp, SW/WC Service Cooperative, Marshall, MN