Enduring Understandings - important ideas that students should carry with them years beyond the instruction received this year.

• Patterns are a way of understanding the world.

• Variable relationships influence each other.

• Algebra is a language.

• Probability can determine fairness. Through probability predictions are made. Probability can predict likelihood.

• Models or counting techniques assist in determining outcomes.

• Percentages are used solve real world problems. 

• There are different ways of estimating.

• Computation is a vital mathematical tool. Computation and reasoning are vital mathematical tools

Essential Questions - most important “big picture” questions students should be able to answer after completing learning activities.

• How would you translate a pattern into a table and/or graph?

• How would you predict and describe how the change in one quantity affects another?

• How do you select, apply, and explain the methods chosen to solve equations?

• What types of games are fair?

• How would you use a probability experiment to predict future events?

• How would you determine the likelihood of an event?

• How do you select, apply, and explain the strategies chosen to predict the outcome of a simple event?

• How could you express percentages using pictures or manipulatives?

• How do you select, apply, and explain which technique to use when estimating?

• How do you select and apply computational methods to solve a problem?

• How do you justify your solution as reasonable?

Standards: Highest Frequency High Frequency Other Standards and E-Skills

Standard 2:  (Algebra) Students use algebraic methods to explore, model and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
Recognize and continue a geometric and/or numeric pattern
Translate written words into algebraic form

Standard 3:  (Probability and Statistics) Students use data collection and analysis, statistics, and probability in problem-solving situations and communicate the reasoning and processes used in solving these problems.
Organize and construct a line graph, bar graph, and frequency table from a set of data
Interpret and draw conclusions from a variety of visual data forms

Standard 6:   (Computation) Students link concepts and procedures as they develop and use computational techniques, including estimation, mental arithmetic, paper-and-pencil, calculators, and computers, in problem-solving situations and communicate the reasoning involved in solving these problems. 
Add and subtract fractions in problem-solving situations
Apply computational strategies including traditional algorithms for adding and subtracting fractions