3. Student Learning Map

  • Topic:Unit 2: Solving Equations
  • Subject(s):Math
  • Days:15
  • Grade(s):9, 10
Key Learning: Equations can be used used to describe, explain, and predict various aspects of patterns in real world situations.  "Solving" an equation is the process of finding the value that makes a sentence true. 
Unit Essential Question(s):
 
 
What is the purpose of solving an equation?  How are equations "solved"?
   
Concept: One-Step Equations
Concept: Two-Step Equations
Concept: Multi-Step Equations
Lesson Essential Question(s):

When solving equations, what type of operations must you use to get the variable alone on one side of the equal sign? (A)
How do you know for sure that an equation is "solved"? (A)
Lesson Essential Question(s):

How is solving a "two-step" equation different than solving a "one-step" equation? (ET)
What order of operations should you use to solve two-step equations? (A)
Lesson Essential Question(s):

How can the properties of equality, inverse operations, and properties of real numbers be used to solve "multi-step" equations?
(ET)
Vocabulary:

Vocabulary:

Concept: Equations with Variables on Both Sides
Concept: Literal Equations and Formulas
Concept: Solving Proportions (PH sections 2.6-2.8)
Lesson Essential Question(s):

What is the process for finding a solution, if one exists, to an equation with variables on both sides? (A)
How is solving an equation with two variable terms on the same side of the equal sign different than solving an equation with variable terms on both sides of the equal sign? (ET)
Lesson Essential Question(s):

How do you solve a "literal" equation?
(A)
Why may it be useful to solve a literal equation or formula for a specific variable? (ET)
Lesson Essential Question(s):

What is the process for solving an algebraic proportion? (A)
How can real-world distances be measured indirectly using proportions between similar figures? (ET)
Vocabulary:

Vocabulary:

literal equation

Vocabulary:

ratio, rate, proportion

Additional Information:

Algebra 1 Item Specification Report

Resources:

View As PDF

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • Equivalent expressions
    - expressions that have the same value but are presented in a different format using the properties of numbers
  • literal equation
    - an equation involving two or more variables
  • ratio - the comparison of two quantities (e.g. the ratio of a and b is a:b or a/b, where b is not equal to 0)
  • inverse operation
    - an operation that undoes a previously applied operation (e.g. subtraction is the inverse operation of addition)
  • rate - a ratio that compares two quantities of different units (e.g., feet per second)
  • proportion - a mathematical sentence stating that two ratios are equal