LP - Radicals

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Linear equation Lesson Plan
Applied II Math
CBA
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achievers
CedarBridge Academy
Lesson Plan for Student Achievement
Teacher:
Damyon Ray
Department: Mathematics
Date:
Sept 30th – Oct 1st, 2010
Course: Integrated Math II
Unit: Number Sense
Topic: Radicals
1. What is the curriculum standard?
Students will be able to simplify radicals and solve radical equations.
What do I want students to know (content & concepts) and be able to do (skills) by
the end of the lesson? (Objectives)
LESSON 1: Students will be able to simplify different types of radicals, ranging from
square roots to nth root radicals.
LESSON 2: Students will be able to solve radical equations and inequalities..
2. How will I formatively assess students’ knowledge of content, concepts and skills?
Students will be formatively assessed daily with mis-conception checks and
homework on the perspective lesson. Students will also be assessed with
Questioning and answering sessions, and reviewing of class work related to the
lesson.
3. How will I summatively assess students’ level of mastery of the content, concepts
and skills?
Students will be given a cumulative assessment at the end of the unit.
4. Describe the sequences of events in the lesson. (Focus on a high level of student
engagement and remember to ask yourself if you have included the (1) DNA; (2)
Motivate and Activate; (3) Opportunity for movement; (4) Reading &Writing; (5)
Review; (6) How students will get written information on the content, concepts and
skills; (7) Checks for understanding; (8) Gender activities (9)Technology and (10)
Closure activity.)
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Linear equation Lesson Plan
Applied II Math
CBA
LESSON 1  simplifying Radicals
1) DO NOW
Find the square root of 49 and 50.
Discuss solution to DO NOW: 7 and 5√2
2) MOTIVATE AND ACTIVATE
Brief discussion on properties of rational exponents. Remind students.
o To simplify use the properties for radical notation (Ex. 2, p. 407).
o To put in simplest form, factor out/make a perfect power.
o That two radical expressions are like radicals if they have the
same index and radicand.
o Show students how to write nth roots.
3) GUIDED PRACTICE
The teacher, then the teacher and students, will solve sample problems
using VIP (visual instruction plans).
4) INDEPENDENT PRACTICE
Students will solve problems and also come to the Promethean Board.
5) MOBILITY
Students will come to the promethean board to show correct solutions to
the worked examples.
6) READING AND WRITING
N/A
7) GENDER ACTIVITIES
N/A
8) TECHNOLOGY
Teacher and Students will do demonstration on the Promethean Board.
9) CLOSURE & REVIEW
Review the steps involved when removing brackets and collecting like terms.
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Linear equation Lesson Plan
Applied II Math
CBA
LESSON 2  Solve two step linear equations
1) DO NOW
Solve 1. 4x = 12; 2. 3x – 4 = 8.
Discuss solution to DO NOW : 1. x = 3; 2. x = 4
2) MOTIVATE AND ACTIVATE
Remind students:
1. when terms move across the equal sign they change signs: -4 = becomes +4
2. when solving a linear equation work backwards
+,-, x, ÷
3) GUIDED PRACTICE
Teacher will first demonstrate solving two step Linear equations.
Teacher and Students together will solve the two step equations.
4) INDEPENDENT PRACTICE
Students will solve two step equations on their own.
5) MOBILITY
Students will come to the board to how they solve the problems.
6) READING AND WRITING
Students will be given word problems to complete.
7) GENDER ACTIVITIES
Gender grouping.
8) TECHNOLOGY Teacher and Students will do demonstration on the Promethean Board.
9) CLOSURE & REVIEW
Review steps involved for solving two step linear equations.
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Linear equation Lesson Plan
Applied II Math
CBA
LESSON 3 solving linear equations with variables on
both sides & fractions
1) DO NOW
Find the value for x given 2x – 3 = x + 7
Discuss solution to the Do Now (x = 10)
2) MOTIVATE AND ACTIVATE
Remind students:
1. That the term outside the bracket multiplies each term inside the bracket.
2. When a variable moves across the equal sign it changes signs
3. when dealing with two or more fractions ones must multiply each term by the lowest
common demoninator.
3) GUIDED PRACTICE
Teacher will first demonstrate solving Linear equations with variables on both
sides. (AQA Higher Linear 1 Pg. 215-216
Teacher and Students together will solve the equations.
4) INDEPENDENT PRACTICE
In gender groups of 3, students will be given a menu of problems to solve.
Assignment - book AQA Higher Linear 1 pg. 216
 Assess 1-4 (choice of one from each question)
5) MOBILITY
Students will write their solutions on the Promethean board.
6) READING AND WRITING
7) GENDER ACTIVITIES
Gender grouping.
8) TECHNOLOGY
Teacher and Students will do demonstrations on the Promethean Board.
9) CLOSURE & REVIEW
Review the steps involved when solving linear equations with variables on both
sides.
LESSON 4 solve and graph linear equations
1) DO NOW
Find the value for x given 3(x – 3) = 2(x + 7)
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Linear equation Lesson Plan
Applied II Math
CBA
Discuss solution to the Do Now (x = 23)
2) MOTIVATE AND ACTIVATE
Show a video from “You tube” demonstrating plotting a linear graph.
3) GUIDED PRACTICE
Teacher will demonstrate, using the Promethean board, how to graph a linear
graph.
Students will correctly label an axis on graphing paper then plot a sample graph.
4) INDEPENDENT PRACTICE
In groups of 4, students solve and plot two linear equations
5) MOBILITY
n/a
6) READING AND WRITING
7) GENDER ACTIVITIES
Gender grouping.
8) TECHNOLOGY
Teacher and Students will do demonstration on the Promethean Board.
9) CLOSURE & REVIEW
Review the steps involved for plotting a linear graph.
10) What homework assignment will I give to students?
LESSON 1: Simplifying expression
Students will be given 10 problems to simplify.
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Linear equation Lesson Plan
Applied II Math
CBA
LESSON 2: Solving two step equations
Student will have to create and solve a word problem using linear
equations.
LESSON 3: Solving equations with variables on both sides
Student will be given 10 problems to solve.
LESSON 4: Graphing linear equations
Students will have to solve and accurately graph the solution to a
problem.
11) Reflections: (If someone was observing my class to give me ideas for improving
teaching the lesson, what would I want him or her to focus on during the
lesson?)
Introduce lesson effectively
Did the students remain on-task for the duration of the lesson?
Was the opportunity provided for movement during the lesson?
Did the gender activity assist the male students?
Was opportunity for reading and writing during the lesson?
Was the closure meaningful?
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