Hempfield School District Curriculum: Unit Template

Course Title: Algebra I (A/B) CP

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Unit Title: Solving Equations
Names of Teachers who Developed Unit: Beth Barilla, Kendra Crosby, and Ryan Martin
Dates Developed: October 11, 2010
Approximate Dates when Taught During School Year:
Approximate Number of Periods:
Summary: Students solve equation, and problems involving equations, using deductive reasoning, the Distributive Property, and variables on both sides. They find ratios and rates and solve and apply proportions to problems such as finding missing measures in similar figures. They define variables in terms of other variables, and model distance-rate-time problems. They also find percent of change, find and use square roots, and sole problems using the Pythagorean Theorem.
Print Materials Needed:
Resources: Prentice Hall Algebra I 2007
Internet Resource Links: phschool.com
Stage 1: Desired Results
Essential Questions (Include PA Standards, Anchors & Eligible Content)
Big Ideas:
·  Any algebraic equation can be represented using symbols in an infinite number of ways, where each representation has the same solution.
·  Properties of numbers and equality can transform an equation into equivalent simpler equations. This process is used to find solutions.
·  Proportionality involves a relationship in which the ratio of two quantities remains constant as the corresponding values of the quantities change. In a proportional relationship there are an infinite number of ratios equal to this constant ratio.
Essential Questions:
·  What kinds of relationships ban proportions represent?
·  Can equations that appear to be different be equivalent?
·  How can you solve equations?
Assessment Anchors:
· 
Eligible Content:
· 
Know Understand / Do
Vocabulary:
Equivalent Equations
Inverse Operations
Solution of an Equation
Identity
Literal Equation
Ratio
Rate
Unit Rate
Unit Analysis
Proportion
Extremes of the Proportion
Means of the Proportion
Cross Products
Similar Figures
Dilation
Scale Factor
Scale Drawing
Scale
Consecutive Integers
Uniform Motion
Percent of Change
Percent of Increase
Percent of Decrease
Greatest Possible Error
Percent Error
Square Root
Principal Square Root
Negative Square Root
Radicand
Perfect Squares
Hypotenuse
Leg
Pythagorean Theorem
Conditional
Hypothesis
Conclusion
Converse
Facts:
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality / Students will understand:
Equivalent equations are equations that have the same solution(s).
The solution of a one-step equation can be found by using the properties of equality and inverse operations to write a simpler equation.
The solution of a two-step equation can be found using the properties of equality and inverse operations to form a series of simpler equations.
The properties of equality can be used repeatedly to isolate the variable.
The solution of a multi-step equation can be found using the properties of equality and real numbers and inverse operations to form a series of simpler equations.
The solution of an equation with variables on both sides can be found using the properties of equality and inverse operations to form a series of simpler equations.
A literal equation is an equation that involves two or more variables.
The solution of a literal equation can be found using the properties of equality and inverse operations to form a series of simpler equations.
Ratios and unit rates can be used to compare quantities.
Units and rates can be converted to solve problems.
A proportion is an equation that states two ratios are equal.
If two ratios are equal and a quantity in one of the ratios is unknown, the unknown quantity can be found by writing and solving a proportion.
Proportional reasoning can be used to find the missing side in similar figures.
Such figures can be used to measure real-world distances indirectly.
Problems involving percents can be solved using either proportions or the percent equation.
If a percent is written as a fraction, a proportion can be used to solve a percent problem.
When the original amount and how much it is changed is known, a percent change can be found.
Relative error is the ratio of the absolute value of the difference of a measured (or estimated) value and an actual value compared to the actual value. / The Students will be Able to:
Solve One-Step Equations
Solve Two-Step Equations
Use Deductive Reasoning
Use the Distributive Property to Combine Like Terms
Use the Distributive Property to Solve Equations
Solve Equations with Variables on Both Sides
Solve Identities and Equations with No Solution
Transform Formulas
Find/Use Ratios and Rates
Solve Proportions
Identify/Use Similar Figures
Find/Use Indirect Measurement and Scale Drawings
Define Variables
Solve Distance-Rate-Time Problems
Find/Use Percent of Change
Find/Use Percent Error
Find Square Roots
Estimate and Use Square Roots
Solve Problems Using the Pythagorean Theorem
Identify Right Triangles
Stage 2: Assessment Evidence
Assessments/Performance Tasks / Rubric Titles
Benchmark(s) for Course: Unit’s key Assessments
Self-Assessments / Other Evidence, Summarized
Stage 3: Learning Activities
Differentiation:
Readiness / Profile: Learning Styles / Multiple Intelligences / Interest
·  . / ·  / · 
Accommodations for ELLs:

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