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Everyday Math Unit 10: Algebra Concepts and Skills

Updated 2-21-15
In this unit, students will develop their knowledge of algebraic patterns and reasoning to solve everyday problems.

Topics studied include:
  • In/Out Boxes
  • Pan Balances
  • Algebraic Expressions and Variables
  • Rates
  • Interpreting Graphs
  • Circumference and Area of Circles
  • Problem Solving

Download the Unit 10 Objectives to view samples of each objective studied in this unit.

Download the Unit 10 Family Letter for more information about this unit, including vocabulary definitions, new algorithms, at-home suggestions, and answers to selected study link questions. Scroll down the page to find games, skills practice, and video tutorials specific to this unit of study.

One of the most important skills students will need for fifth grade math is automatic recall of addition, subtraction, multiplication, and division facts. I strongly encourage all students to practice math facts at home for at least 5 minutes each night. Our class will be charting progress as we take Facts Master practice tests each week, with the goal of correctly answering all 300 problems in under 10 minutes. Use this online stopwatch to time yourself!

Downloads
  • Unit 10 Study Links
  • Unit 10 Vocabulary Cards
  • Variables WS (example, with answers)
  • Variable Expressions WS (example, with answers)
  • Pan Balance Problems
  • Pan Balance Interactive
  • More Pan Balance Problems
  • Hands-On Equations Advanced Problems
  • Hands-On Equations Verbal Problems

Mr. Bowen's Tutorials
  • Unit 10 Review (comprehensive, not Mr. Bowen)
  • Hands-On Equations Introduction
  • Distributive Property with Hands-On Equations
  • Algebraic Expressions
  • Solving for Variables
  • Unit Rates

Games and Interactives


Algebra
  • Mobile Balance Puzzles (try this!)
  • Function Machine
  • Algebra Number Balls
  • Algebra Puzzle
  • Algebraic Reasoning
  • X Detectives
  • Model Equations
  • Button Beach Challenge
  • Weight It Up
  • Exploring Algebra

Mixed Skills
  • Computation Castle
  • Burnside's Billions
  • Tipster
  • Best Math Friends (word problems)
  • Number Eaters (try this!)
  • Number Munchers (Leveled Version)
  • Number Munchers (Java Version) + ActiveGS Version (requires plugin) + iPhone/iPad app
  • Fraction Munchers (Java Version) + ActiveGS Version (requires plugin)

Skills Practice


Need more practice with algebra? Try some of these practice quizzes. More practice quizzes categorized by topic can be found on the Math Skills Practice page.

Algebra
  • Variable Expressions Quiz 1
  • Variable Expressions Quiz 2 (matching)
  • Algebraic Expressions 1
  • Algebraic Expressions 2 (matching)
  • Solve For X
  • Using Algebraic Expressions
  • Practice With Algebraic Representation
  • Pre-Algebra Set 1
  • Pre-Algebra Set 2
  • Pre-Algebra Set 3
  • Pre-Algebra Set 4
  • In/Out Boxes 4
  • In/Out Boxes 3
  • In/Out Boxes 7

Circles
  • Intro to Circles Quiz
  • Magic Circle

Video Tutorials


Forgot how to solve an equation? Watch these video tutorials from the Khan Academy. Most video clips are between 5 and 10 minutes in length and are presented in a simple, yet easy-to-understand format.

Algebra
  • Variables Expressions and Equations
  • Variables and Expressions 1
  • Order of Operations Example
  • Simple Equations
  • Solving One-Step Equations
  • Solving One-Step Equations 2
  • One Step Equations
  • Evaluate a formula using substitution
  • Example of Solving for a Variable
  • Solving for a Variable
  • Solving for a Variable 2
  • Equations 2
  • Solving Equations 1

Circles
  • Circles Introduction
  • Circles: Radius, Diameter and Circumference
  • Labeling Parts of a Circle
  • Area of a circle
  • Circumference of a Circle
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