Algebra I
(9 Units, 149 Lessons)
Unit 9 - Understanding Equations(15 Lessons)
Understanding ExpressionsAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Variables can stand for a unknown value or range of values. An expression is given meaning by the value of the variables that it contains.
More with ExpressionsAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Relate the size of the components of an expression in order to meaningfully understand the overall value of the expression.
Translating ExpressionsAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Successful mathematics students can use the vocabulary of mathematics to explain their ideas.
Connecting Expressions to AreaAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Students form a concept image by representing area as the product of binomial factors.
Equivalent Expressions: Distributive PropertyAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:This lesson gives students a more in-depth look at the distributive property.
Investigating Properties using expressionsAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Commutative and Associative properties are often overlooked but provide an important foundation for an Algebra course.
True & False Equations (Day 1 of 2)Algebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Let's take an in-depth look at what it means for mathematical sentences to be equal.
True & False Equations (Day 2 of 2)Algebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:The structure of an equation gives insight into the number of solutions the equation has.
Solution Sets to Equations/InequalitiesAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Mathematically literate students understand the language of mathematics and how to represent information symbolically.
Solving EquationsAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Using algebraic procedures correctly, it is possible to maintain the equivalence between two expressions while simplifying the equation that describes their relationship.
Solving and Justifying EquationsAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Starting from the initial assumption that an equation has a solution, each simplification of that equation should have the same solution set.
CAUTION: Equation Solving AheadAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Use extreme caution with the statement, "Anything you do to one side of an equation you have to do to the other."
Solving Linear Inequalities: Addition and SubtractionAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:The properties of algebra used to simplify an inequality are similar to those used to simplify an equation.
Solving Linear Inequalities: Multiplication and DivisionAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:This lesson develops the idea of why the inequality symbol is reversed when multiplying or dividing both sides by a negative number.
Compound InequalitiesAlgebra I» Unit:Understanding Equations
Algebra I
» Unit:
Understanding Equations
Big Idea:Students will make connections between a solution graphed on a number line and written in interval notation.
