Standards

Enduring Understandings

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

• Number relationships help solve problems.

• Solutions must be reasonable.

• Algebra is a language.

• Patterns are a way of understanding the world.

• Variable relationships influence each other.

• Geometry builds our world.

• Geometry connects us to the real world.

• Proportional reasoning solves real world problems.

• Computation, reasoning, and estimation are vital mathematical tools.

• Computation skills are vital mathematical tools.

• Computation, reasoning, and estimation are vital mathematical tools.

• Computation skills are connected to algebraic thinking.

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 analyze the data and determine the rule from a table and/or graph?

• How would you describe a pattern algebraically?

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

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

• How do you plot points on a coordinate graph?

• What are the limits of mathematical representations and modeling?

• How do you decide what strategies to use to solve a problem?

• How do you determine which mathematical skills you need to solve problems?

• How do you justify the reasonableness of a solution?

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.
1.1a Equivalence of decimals, fractions, and percents
1.1 Use models to represent integers
1.2 Read, write, order, and compare integers
1.2b Locate integers on a number line

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.
2.1a Recognize and describe a numeric patterns using tables, graphs, rules, or symbols
2.2a Extend a pattern using tables and graphs
  2.3a Identify linear patterns

Standard 4: (Geometry) Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the reasoning used in solving these problems.
4.4a Construct and plot integer pairs on a coordinate graph

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. 
6.2a Add, subtract, multiply, and divide integers

Lessons