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

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

• Number relationships help solve problems.

• Solutions must be reasonable.

• Through probability predictions are made.

• Models or counting techniques assist in determining outcomes.

• Geometry builds our world.

• Geometry connects us to the real world.

• Scale matters.

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

• What are different representations of equivalent numbers?

• Why would we need exponents?

• Why do we need to represent order and/or communicate numbers?

• When should you use a number line?

• How do number relationships help solve problems?

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

• How would you represent the probability of a simple event?

• What predictions can you make based on theoretical probability?

• What strategies would you use to determine the number of possible outcomes of a simple event?

• How do you decide which mathematical strategy to use when comparing similar shapes?

• How do you plot points on a coordinate graph?

• How would you interpret a scale?

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.
1.4a Use ratios and proportions in problem solving situations

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.
3.6a Report probability of events in fractions, decimals, and percents

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.
4.3a Identify and compare shapes using ratio, proportion, and scale factor

Standard 5: Students use a variety of tools and techniques to measure, apply the results in problem-solving situations, and communicate the reasoning involved in solving these problems.
5.2 Use direct and indirect measurements to solve problems
5.3a Read and interpret scales on number lines, graphs, and maps