Understanding by DesignUnit Planning Template

Unit: Equations & Inequalities Length of Unit 8 - 12 days

Stage 1 –Desired ResultsWhere are we going?

NY State Standards:See Curriculum Developer Lessons

CCSS:A-SSE: Interperet the structure of expressionsUnderstand solving equations as a process of reasoning and explainthe reasoning1. Explain each step in solving a simple equation as following from theequality of numbers asserted at the previous step, starting from theassumption that the original equation has a solution. Construct aviable argument to justify a solution methodSolve equations and inequalities in one variable3. Solve linear equations and inequalities in one variable, includingequations with coefficients represented by letters.

Standards for Mathematical Practice:

Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning.

Learning Outcomes/Goals: Student will distinguish between an algebraic expression and

equation Student will translate verbal phrases to algebraic expressions and

equations Students will solve equations in one variable including fractional

expressions Students will solve word problems requiring writing and solving

equations Students will solve literal equations for a given variable

Enduring Understandings:We will understand…An equation represents two quantities that are equal and can be used as a tool to find an unknown value

Algebraic expressions and equations generalize relationships from specific cases

Essential Questions:Why do we use equations to solve problems?Why do you perform operations on both sides of an equation?How is thinking algebraically different from thinking arithmetically?How do the properties contribute to algebraic understanding?

KnowledgeWe will know…Properties: Commutative, Inverse, Associative, Distributive, Identity of Addition and Multiplication

Preservation of Equality

Integer rules

Difference between equation and expression

SkillsWe will be able to…Perform operations to both sides

Using a graphing calculator

Identify the similarities and differences between solving equations and inequalities

Graph the solution of an inequality on a number line

How to solve and check multi-step linear equations and inequalities

How to represent situations algebraically

How to utilize the graphing calculator to check, graph, and represent linear functions as a table

Knowing which operations to apply and the correct order in applying

them

Solve equations with fractional coefficients

Using multiplication to eliminate like and unlike denominators

Change fractions to decimals using the graphing calculator

Stage 2 – Assessment EvidenceHow will we know we are there?

Performance/Products Tasks:Diagnostic Assessment to access prior knowledgeGraphic organizer to list words and phrases that represent each math operationAssessing propertiesBell WorksTickets out the doorWhite Board ActivityDeveloping their own equations and doing a gallery walkStudents change coefficients and re-solve equationQuizzesUnit Assessment

Writing Tasks:Word problemsSentence stems as tickets out the door

Reading Tasks:Word problemsStep by Step handouts

Other Evidence:Cold calling on studentsCirculating the roomHand signals from studentsWhite boardsCheck for facial expressions

Stage 3 – Learning PlanHow will we get there?

Individual Lesson Plans with Resources