Standards

Enduring Understandings

• Numbers can be represented, ordered, and communicated in many different forms.

• Solutions must be reasonable.

• Data can be used and represented in many forms.

• Data can be used to draw conclusions.

• Data displays can be misleading.

• Data interpretation varies.

• Data can be used to draw conclusions.  

• Models assist in determining outcomes.

• Through probability predictions are made.

• Models or counting techniques assist in determining outcomes.

• Geometry is used to solve problems.

Essential Questions

• When and how should you use a number line to demonstrate the value of rational/irrational numbers?

• When is the "correct" answer not the best solution?

• How would you organize and construct displays of data?

• What  conclusions or predictions could you make from data organizers?

• How would you display and use measures of central tendency and variability in problem solving situations?

• How do you determine when data organizers are misleading?

• How do you know if data has been misused?

• How do you determine when data misleads or manipulates?

• How would you analyze data to make convincing arguments?

• How could you use a model to solve problems involving probability?

• How would you use theoretical probability to make predictions?

• How would you conduct an experiment to determine all possible outcomes?

• How do you solve problems involving the Pythagorean Theorem?  

Standards Highest Frequency High Frequency Other Standards and E-Skills

Standard 1:   (Number Sense) Students develop number sense and use numbers and number relationships in problem solving situations and communicate the reasoning in solving these problems.
Demonstrate meaning of squares roots, recognize common irrational numbers, and locate irrational numbers on a number line.

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.
Find probability using tree diagrams and lists (Experimental/Theoretical)
Use counting principles to determine the number of possible outcomes: (permutations/combinations)

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.         
Apply the Pythagorean Theorem to solve real-world problems

Lessons