• This course addresses content from the Minnesota State Math Standards and Benchmarks for grade 6.  Each standard or benchmark is identified by a set of numbers, as shown below.  Some benchmarks may be addressed in more than one unit, so the benchmark number will appear more than once.  Support resources for each standard or benchmark can be found by clicking on the benchmark number to navigate to that respective page.

### Middle School PreAlgebra Trimester 3 Content

Unit 8 - Patterns and Functions

• 6.1.1.1   Locate positive rational numbers on a number line and plot pairs of rational numbers on a coordinate grid.
• 6.2.1.2  Represent the relationship between two varying quantities with function rules, graphs and tables; translate between any two of these representations.

Unit 9 -  Geometric Figures

• 6.3.2.1  Solve problems using the relationships between the angles formed by intersecting lines.
• 6.3.2.2  Determine missing angle measures in a triangle using the fact that the sum of the interior angles of a triangle is 180 degrees.  Use models of triangles to illustrate this fact.
• 6.3.2.3  Develop and use formulas for the sums of the interior angles of polygons by decomposing them into triangles.

Unit 10 - Measurement 2-Dimensional Figures

• 6.3.1.2  Calculate the area of quadrilaterals.  Quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids and kites.  When formulas are used, be able to explain why they are valid.
• 6.3.1.3  Estimate the perimeter and area of irregular figures on a grid when they cannot be decomposed into common figures and use correct units such as cm or cm^2.

Unit 11 - Measurement 3-Dimensional Figures

• 6.3.1.1  Calculate the surface area and volume of prisms and use appropriate units, such as cm^2 or cm^3.  Justify the formulas used.  Justification may involve decomposition, nets or other models.

Unit 12 - Probability

• 6.4.1.1  Determine the sample space (set of possible outcomes) for a given experiment and determine which members of the sample space are related to certain events.  Sample space may be determined by the use of tree diagrams, tables or pictorial representations.
• 6.4.1.2  Determine the probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1 inclusive.  Understand that probabilities measure likelihood.
• 6.4.1.3  Perform experiments for situations in which the probabilities are known, compare the resulting relative frequencies with the known probabilities; know that there may be differences.
• 6.4.1.4  Calculate experimental probabilities from experiments; represent them as percents, fractions and decimals between 0 and 1 inclusive.  Use experimental probabilities to make predictions when actual probabilities are unknown.