Standards

Enduring Understandings

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

• Numbers have properties.

• Algebra is a language.

• Patterns are a way of understanding the world.

• Functions model the real world.

• Algebra is a way of thinking. 

• Functions model the real world. 

• Data can be used and represented in many forms.

• Data can be used to draw conclusions.

Essential Questions

• How do you demonstrate equivalent numbers using various forms?

• How are properties of numbers like the rules of a game?

• How would you describe, analyze, and determine the rule of patterns from multiple representations?

• How do you convert from one representation to another?

• How would you describe a pattern algebraically?

• How do you predict and describe how a change in one quantity affects another in a functional relationship?

• How do you tell by looking at multiple representations if it is a linear or non-linear function?

• How do you solve linear equations using a variety of methods?

• What is in your toolbox?           

• What is the appropriate tool?

• What does the solution look like?                                     

• Describe how you would stand on two streets at once?                                                   

• How can we find an input so that our two functions give the same output?

• How are solutions to equalities and/or inequalities represented on a number line?

• How would you organize and construct displays of data?

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

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.
Simplify more complex expressions using exponents (2³ * 2⁴ and 7⁸/7² )
Apply properties (distributive) of integers and rational numbers.  

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.
Describe algebraic and geometric patterns and make connections between tables, graphs, and rules
Find the constant rate/slope and the starting point/y-intercept of a table and graph
Interpret a linear graph and table
Distinguish between linear and non linear graphs and tables
Solve one and two step linear equations with integers.
Evaluate a linear formula.
Solve one and two step inequalities
Use a line of best fit to find the equation of a scatter plot.  

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.
Use a line of best fit to find the equation of a scatter plot.  

Lessons