Enduring Understanding

 

The student will understand:

  • Math is essential to every day life.
  • Math is a skill that involves scaffolding of previous knowledge.
  • The basic math operations help us develop higher level thinking skills through analysis and application.
  • Interpreting charts/tables/graphs and the data contained within will promote higher-level thinking and reasoning skills.

 


 

Essential Questions

 

  • If the order of operations were not followed when simplifying an expression, how would it affect the answer?
  • What real world situations can you apply linear equations or inequalities to?
  • How do you use algebraic patterns and functions to determine and explain an equation?
  • How can a functional relationship be used to explain a graph?
  • How is adding, subtracting, multiplying and dividing integers important in your everyday lives?
  • How can you relate adding, subtracting, multiplying and dividing rational numbers to real world situations?
  • How can fractions, decimals, integers, ratios, proportions and percents be useful in solving problems that you would not consider math related?

 

Content Topics

 

Unit 1

Algebra basics

 

Unit 2

Integers

 

Unit 3

Equations & Inequalities

 

Unit 4

Intro to fractions

 

Unit 5

Operations with fractions

 

Unit 6

Percentages

 


 

Key Skills

 

  • 4 operations (+,-,x, )
  • Application
  • Analysis
  • Synthesize
  • Organize Information
  • Solve equations
  • Order of operations
  • Reading Comprehension

       


       

Assessments

 

  • Homework
  • Tests/quizzes
  • Written Explanations
  • Oral Explanations
  • Projects

 


 

Standards Alignment:


National Standards:

Understand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

 

PA State Standards:

2.1 Numbers, Number Systems and Number Relationships

2.2. Computation and Estimation

2.3 Measurement and Estimation

2.4 Mathematical Reasoning and Connections

2.5 Mathematical Problem Solving and Communication

2.6 Statistics and Data Analysis

2.7 Probability and Predictions

2.8 Algebra and Functions