Unit 4

10.3 Getting more done in less time

• F Direct and inverse variatio
  
  • How do you find a constant of proportionality?
  • What does a proportional relationship look like?
  File List
  • 10.3 F.docx
    • What you should already know how to do
    • Exploration 1 (selling light bulbs)
    • Reflect and discuss 1
    • Reflect and discuss 2
    • Example 1
    • Reflect and discuss 3
    • Example 2
    • Practice 1 (6 problems; #5 and #6 are Problem Solving)
  • 10.3 F Part 2
    • Exoloration 2
    • Reflect and discuss 4
    • Example 3
    • Practice 2 (9 problems; #6-9 are Problem Solving)

• C Different types of variation
  
  • What does in mean to be proportional?
  • How does changing one variable in a proportional relationship affect the other?
  File List
  • 10-3-C Different types of Variation
    • Exploration 3 (circle, radius r)
    • Exploration 4 (wall tiles)
    • Reflect and discuss 5
    • Exploration 5 (looking a equations, such as y = kx
    • Example 4
    • Example 5
    • Reflect and discuss 6
    • Practice 3 (9 problems; #5 - #8 are Problem Solving)
    • Exploration 6 (introduces exponents)
    • Reflect and discuss 7
    • Practice 4 (3 problems; #2 - #3 are Problem Solving)
  • 10-3-C Different Types of Variation - Key

• 10-3-D Modeling Proportional Relationships
  
  • Can situations seem proportional when they are not?
  • Is simpler always better?
  File List
  • 10-3-D Modeling Proportional Relationships
    • Exploration 7 (coffee shop)
    • Exploration 8 (sketching graphs)
    • Reflect and discuss 8
    • Section 10-3 Summary
    • Section 10-3 Mixed Practice problems (13 problems; 8-13 are Problem Solving)
    • Section 10-3 Review in Context (6 problems)
    • Section 10-3 Reflect and discuss
  • 10-3-D Table (contains a table to make one of the questions easier to answer)
  • 10-3-D Modeling Proportional Relationships Key
• Summary
  • 10.3 Summary and Examples and skills list for 10.3. Read this for a review.

• Assessments
  • Skill quizzes / Test

• IXL Activities
  
  Algebra 1
  • R.1 Identify proportiona relationships
  • R.2 Find the constant of variation
  • R.3 Graph a proportional relationship
  • R.4 Write direct variation equations
  • R.5 Write and solve direct variation equations
  • R.6 Identify direct variation and inverse variation
  • R.7 Write inverse variation equations
  • R.8 Write and solve inverse variation equations

5.1 Are you saying I'm irrational?

• Introduction

  File Introduction to Unit - 4 - Google Slides view as a presentation

  • Objectivs and Inquiry Questions
  • Prior Learning / prerequisite skills

• F Reviewing radicals (surds)
  $\sqrt{2}$
  File List
  • Unit-4-Introduction and Exploration 1 (google slides)
  • 5.1 F Reviewing Radicals (surds) (google doc)
  • Exploration 1
  • Reflect and discuss 1
  • Exploration 2
  • Practice 1
  • Exploration 3
  • Reflect and discuss 2

• C How radicals behave
  File List
  • 5.1 C How Radicals Behave Online workbook - Google doc
  • 5.1 Practice 2 key, Exploration 5, Reflect and Discuss 3
  • Exploration 4
  • Example 1
  • Rules of radicals
    
  • Practice 2
  • Exploration 5
  • Reflect and discuss 3
  • Exploration 6
  • Example 2
  • Reflect and discuss 4
  • Example 3
  • Practice 3
  • Exploration 7
    
    • Handout - PDF
    • Handout - docx
  • Example 4
  • Reflect and discuss 5
  • Rules of radicals
    
  • Practice 4
  • Reflect and discuss 6
  • Exploration 8
  • Reflect and discuss 7
  • Rules of radicals
    
  • Example 5
  • Example 6
  • Practice 5

• D How radicals behave
  • Objective B
  • Exploration 9

• Summary
  • Mixed Practice

• Assessments
  • Skill quizzes - one five point quiz on each of the five rules
  • 30 - 40 point test with a mix of questions similar to the Mixed Practice problems. Students that complete the practice problems and IXL activities that are assigned will do well on this test which will probably be unannounced. As an unannounced assessment this can be retaken as needed to demonstrate proficiency with radicals (surds).

• IXL Activities
  Algebra 1
  • EE.1 Simplify radical expressions
  • EE.2 Simplify radical expressions with variable
  • EE.3 Simplify radical expressions involving fractions
  • EE.4 Multiply radical expressions
  • EE.5 Add and subtract radical expressions
  • EE.6 Simplify radical expressions using the distributive property
  • EE.7 Divide radical expressions
  • EE.8 Simplify radical expressions mixed review