Solving Equations and Inequalities: Algebra 1 Review
Teacher: Labor
Date: 8/12 -16 Subject/Course: Algebra 2
CA Standard(s):
Alg 2 1.0 Students solve equations and inequalities involving absolute value.
Grade: 10th/11th
Alg 2 24.0 Students solve problems involving functional concepts, such as composition, defining the inverse function and performing
arithmetic operations on functions
Alg 2 25.0 Students use properties from number systems to justify steps in combining and simplifying functions
Learning Objective (s):
Given the set of real numbers and its subsets, the learner will use a number line to graph and order real numbers by using their knowledge on
numbers sense.
Given a mathematical statement involving operations, the learner will find a solution by identifying properties of and using operations with real
numbers.
Given an algebraic expression, the learner will evaluate the expression by identifying properties of and using operations with real numbers.
Given a mathematical equation, the learner will solve for the unknown variable by identifying properties of and using operations with real numbers.
Given a verbal problem representing a real-life scenario, the learner will examine and evaluate to find a feasible solution by using a general
problem solving plan.
Given a mathematical statement involving inequalities, the learner will find a solution by using number sense and a number line.
Given an equation involving absolute value or an inequality involving absolute value, the learner will analyze, solve and make a representation
using a number line, the equation/inequality to find the value(s) of the missing variable by applying the rules of solving equations/inequalities
involving absolute.
Essential Question(s):
How do you graph and order real numbers?
Which properties do you use to simplify and perform operations with real numbers?
How do you evaluate and simplify algebraic expressions?
How do you solve linear equations? absolute value equations? absolute value inequalities?
How do you rewrite equations and common formulas with more than one variable?
How do you come up with a problem solving plan and strategies to solve real-life problems?
How do you write and use algebraic models to solve real-life problems?
Assessment:
Homework quiz #2 on day 2, quick check on all days.
Do Now: Writing prompts:
Day 1: “The way to write an inequality answer using the interval notation is…”
Day 2: “Make a list of topics you learned from the previous days. Why do you think you needed to learn those? The reason I learned … is because…”
Day 3: “I learned about linear equations from Algebra I, and I remember ....”
WHOLE GROUP
Do Now: Writing Promts
Lesson: Note-taking (I Do, You Do, We Do)
Review Algebra I essential standards
Quick Check
DIRECT INTRUCTION STATION
Unit 1: Linear Equations & Inequalities
Notes: Interactive lecture on number sense
using the number line leading to the concept of
linear equations and inequalities. Students use
their composition notebooks to copy notes.
Students then answer guided exercises and
then answer problems on their own.
Activities:
*Note-taking
*Pair-share
*Mini-whiteboards
*Thumbs up, thumbs down
*I Do, You Do, We Do
*Quick checks
Address possible misconceptions:
Using the correct inequality symbol
Using the correct formula for the less than
COLLABORATIVE STATION
Exploration: Students will be assigned to groups
of 3 or 4 depending on the result of quick checks
or verbal assessments. Students will be working
on Algebra I skills review – Solving linear
equations.
Group Roles:
Leader: Moderates the whole group and
ensures that each member is doing his/her role
Time Keeper: Ensures that each member is on
efficiently on track to accomplish the task
Recorder: Records all responses and makes
sure every one in the group shares the same
data
Reporter: Shares what the group learned from
the activity
INDEPENDENT STATION
Homework Quiz #2: On day 2, students will be
given problems from assigned homework from
the previous day to check for comprehension.
Individual work: Each student is assigned
homework to build on the concepts discussed in
class.
Day 1 HW:
pp58 – 60 (all numbers)
Day 3 HW:
p71 #6, 7
p79 #2, 4, 5, 8
*All HW answers need to be in a composition
notebook
problem
Using the correct formula for the greater than
problem
Linear equations: incorrectly identifying the
slope from a given equation
Linear equations: using a wrong formula to find
the slope (switching the numerator and
denominator)
Plotting points: incorrectly identifying the
horizontal distance from the vertical distance by
using the wrong number from an ordered pair
Simplifying fractions: Difficulty dealing with
fractions with different denominators.
Solving Equations: Forgetting to modify both
sides of the equations when isolating the
variable.
Simplifying Expressions: Incorrectly introducing
an equal sign to the given expression –
“Simplify” versus “Solve.”