instructional unit map unit 1: foundations for functions...

Instructional Unit Map

Unit 1: Foundations for Functions

Chapter 1: The I Language and Tools of Algebra

Instructor: Mrs. Kassouf-Room 206

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Lesson Plan: Unit 1


Chapter One: The Language And Tools Of Algebra

Chapter Two: Solving Linear equations

Class: Algebra 1AB /Period 2 Grade Level: 9 Time required: 2-3 weeks

Essential Question/Idea: How do people simplify generalized problems and real world

relationships by using the Language and Tools of Algebra?

Culminating Assessment: Students, in groups of four will use the main ideas mastered

in Unit One to create an entertaining game. Individually students will also take an exam.

Chapter 1 Exam is Scheduled for October 7, 2011

Chapter 2 Exam is scheduled for Nov. 9, 2011

Recommended focus Standards:

Alg.1 2.0* Students understand and use such operations as taking the opposite,

finding the reciprocal, taking a root, and raising to a fractional power. They understand

and use the rules of exponents.

(4 Questions)

Alg.1 -4.0* Students simplify expressions prior to solving linear equations and

inequalities in one variable, such as: 3(2x-5) + 4(x-2) = 12. ( 3 Questions)

Alg. 1- 5.0* Students solve multistep problems, including word problems, involving

linear equations and linear inequalities in one variable and provide justification for each

step.

Recurring Standards in the course

Alg. 1- 24.0 Students use and know simple aspects of a logical argument.





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Alg. 1- 25.0 Students use properties of the number system to judge the validity of

results, to justify each step of a procedure, and to prove or disprove statements.

Possibility and Structure

This unit sets the stage for success in Algebra by providing time to review arithmetic

(whole numbers, fractions, decimals, and percent) and proceeds on to cover

foundational algebra skills necessary to solve equations. Subsequent to this review,

students will proceed to solving equations in one variable (including equations with

absolute value).

Tuesday 9/13/2011

Assess student prior knowledge

Scavenger hunt /Alg.1 text and standards

Introduction to Variables and Algebraic expressions

Homework: Notes on lesson 1-1

Wed.9/14/2011(90 min.)

Lessons taught Ch1-1

Five minute quiz

Objectives: Given practice worksheet1-1, students in groups of 2 will experience

to correctly write algebraic expressions, evaluate powers and write verbal

expressions.

Vocabulary

Teach: Standards 1.0, 1.1, 25.

o Write an Algebraic Expression

o Evaluate Powers

o Write Verbal Expression





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Class work: Handout 1-1

Homework Assignment due 9/16/2011

o correctly solve packet 1-1 problems

o Page 8-9 #13-37; 46-48

o Quiz on 1-1

Friday 9/16/2011 (40 min.)

Lessons taught: 1-2/1-3

Five minute check on lesson 1-1 (Graded 30 points)

Objectives: Given set of handouts, students in groups of two are asked to

correctly evaluate numerical expressions by using the order of operations and

open sentences.

Vocabulary on lesson 1-2/standards taught

Key concept: “PEMDAS”

o Step 1: Evaluate the expressions inside the grouping symbols

o Step 2: Evaluate all powers

o Step 3: Multiply and/or divide in order from left to write

o Step 4: Add and/or subtract in order from left to right

Teach:

o Evaluate expressions

o Grouping Symbols

o Evaluate an Algebraic Expression

Five minute check over lesson 1-2 Graded

Vocabulary

Teach:

o Use a replacement set to solve an equation

o Use order of operations to solve an equation

o Solve problems related to real world.

Homework due Tuesday 9/20/2011





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o Handout 1-2 All

o Handout 1-3All

o Alg. Textbook Page13 #15-33 odds; 47,48

o Page 19-20 #15-39odds; 53-56 all

o Quiz on lessons 1-1; 1-2; 1-3

Tuesday/9/20/2011

Quiz #1 (lessons 1.2.and 3)

Homework due on 9/21/2011 notes, definitions of vocabs on lesson 1-4/1-5

Wednesday 9/21/2011

Lessons taught:1-4/1-5

Five minute quiz

Objectives: Given a set of worksheets related to the lesson taught, students in

groups of two will practice to distinguish the properties of Identity and Equality

also will experience how to use these properties when solving algebraic

expressions.

During the second half of the class, students in groups of two will practice

correctly solve, evaluate and simplify algebraic expressions by using the

Distributive property.

Vocabulary /fluency

Standards taught: 1,1.0,25.1

Key concepts

Additive Identity

Multiplication Properties

o Multiplicative Identity

o Multiplicative identity of zero

o Multiplicative inverse





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Properties of equality

o Reflexive property

o Symmetric property

o Transitive property

o Substitution property

Teach:

o Identify properties

o Evaluate using properties

Five minute check over lesson 1-4

Vocabulary /fluency/Standards1.0;25.1

Key concept

Distributive property

Teach:

o Distribute over Addition or Subtraction

o The Distributive Property and Mental Math

o Algebraic Expressions

o Combine Like Terms

Five minute check on lesson 1-5

Homework assignment due Friday 9/23/2011

o Packet 1-4 all; 1-5 all graded

o Quiz#2 on lesson 1-1/2/3/ 4 and 5

Friday 9/23/2011

Lessons reviewed 1-6//2-1/2-2/2-3/2-4

Quiz #2(lessons 1-1/2/3/1-4/1-5)

Objectives: Given two sets of worksheets, students in groups of two will refer to

their Algebra 1 text book and correctly answer the questions asked.





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Next students will practice to distinguish the commutative and Associative

Properties. Next they will correctly evaluate expressions and simplify equations

by using the properties taught.

Also, given skills practice 2-1, students will practice correctly translate phrases

into algebraic expressions.

Next, skills practice 2-2 is a variety of problems that help students practice

correctly solve equations in one variable using Addition and Subtraction.

By the end of the period students are able to use addition subtraction

multiplication and division to correctly solve equations

Warm up activity

Translate a sentence into an equation(example A, B)

Focus on the main idea

Vocabulary

o four-step problem-solving plan

o defining a variable

o formula

Teach/Check your progress

o Key concepts

Classwork: Use the four step plan

o Solve equations using addition

o Solve equations using subtraction

Vocabulary

o Equivalent equations

o Solve an equation

Key concept:





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o Addition property of equality

Teach: Solve using addition

Practice: check your progress

Key concept: Subtraction property of equality

Teach : Solve using subtraction

Practice: Check your understanding

Classwork: Skills Practice 2-2

Teach: (standard 5)*

o Solve equations using multiplication

o Solve equations using division

Key concept: Multiplication property of equality





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o Solve using multiplication by Positive Numbers

o Solve using multiplication by Fraction


Teach: Solve using division

Key concept:

Classwork Skills Practice 2-3

Homework Assignment due on Tuesday 9/27/2011

o Skills practice 2-1/2/3

o Quiz on Chapter one

o Notes on Lesson 2-4/2-5/2-6





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Wednesday 9/28/2011

Warm up on 2-4/5/6

Objectives:

o Given worksheet 2-4, students will practice correctly solve equations

utilizing multi step operations?

o Next students will practice correctly solve linear equations with variables

on both sides of an equation.

Main Ideas (standard 4 and 5)*

o Solve equations involving more than one operation.

o Solve consecutive integer problems

o Solve consecutive integer problems

Vocabulary:

o multi-step equations

o consecutive integers

o number theory

Teach:*

o Solve using addition and division


o Solve using addition and multiplication


Teach: Write and solve multi-step equation*

Practice

o Solve a consecutive integer problem *

Classwork: Skills practice 2-4

Teach the following main ideas:

o Solve an Equation with Variables on Each Side

o Solve an Equation with Grouping Symbols

o No Solutions or Identity

Concept Summary: Steps for Solving Equations





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Practice : Standards Example



Homework assignment due 9/30/2011

Quiz on 2-4/2-5

Skills practice 2-4/2-5

Friday 09/30/2011

Quiz on 2-1/2-2/2-3/2-4/2-5

Review/correct problems and reteach

Objectives:

o Given skills practice worksheet, Students in groups of two will practice

correctly solve equivalent fractions

o Given skills practice 2-8 worksheet, students will experience using

formulas when solving algebraic equations.

o Given skills practice work sheet, students in groups of two will practice

correctly solve equations for a given variables and experience use

formulas to solve real world problems.

Main ideas: (standard 15)

o Determine whether two ratios form a proportion.

o Solve proportions

o Vocabulary:





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o Ratio

o Proportion

o Extremes

o Means

o Rate

o Scale

Teach:

o Determine Whether Ratios Form a Proportion

o Key Concept: Means-Extremes Property of Proportion

Teach:

o Use Cross Products

o Practice: Check your understanding

Solve a Proportion

Practice: check your understanding

Real-World Example


Real-World Example



Teach:

o Solve an Equation for a Specific Variable

o Real-World Example

o Practice: Check your understanding

o Classwork: Skills practice





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o

Homework assignment is due Tuesday 10/04/2011

o Quiz 2-8

o Skills practice 2-6/7/and2-8

o Review for Chapter 2 test

Tuesday 10/4/2011

o Quiz on Chapter 2

o Review for Assessment #1

Wednesday Oct. 05/2011

o Review for Periodic assessment 1

o Reteach and practice test

Homework assignment due on Friday 10/07/2011

o Take home unit 1 test

Friday 10/07/2011

o Correct take home test in class

o Chapter one assessment

instructional unit map unit 1: foundations for functions...

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