UNIT PLANS - Math Standards

 

Unit: Percents

Know

Students will know the meaning of percent and the three types of percent problems.
 

Understand  

Students will understand the strategies necessary for solving percent problems.
 

Do

Students will rename fractions as percents. They will find percent of increase or decrease and solve problems using percent formulas.

 

Key Learning: Students will apply the meaning of percent to solve various problems through the use of percent formulas and proportion.

 

Unit Essential Questions: How can I solve percent problems using percent formulas and proportions?

Concept 1

Fractions and Decimals to Percents

Concept 2

Percents to Fractions and Decimals
 

Concept 3

Finding a Part or a Percentage of a Number

Concept 4

Finding Percent

Lesson Essential Question:

How can I write fractions and decimals as percents?

Lesson Essential Question:

How can I write a percent as a fraction or decimal?
 

Lesson Essential Question:

How can I find a percentage of a number?

Lesson Essential Question:

How can I find what percent one number is of another?

Concept 5

Finding the Original Number

 

Concept 6

Estimating with Percents

Concept 7

Percent of Increase or Decrease

Concept 8

Problem Solving: Using Percentage Formulas

Lesson Essential Question:

How can I find a number when a percent of it is known?

Lesson Essential Question:

How can I solve percent problems by estimating?

Lesson Essential Question:

How can I find the percent, or rate of increase or decrease?

Lesson Essential Question:

How can I solve problems using formulas involving percent?

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

 

WEEKLY LESSON PLANS

Date: 2/2/09

Monday Tuesday Wednesday Thursday Friday

 

 

 

 

 

 

 

WEEKLY LESSON PLANS

Date: 1/26/09

Monday Tuesday Wednesday Thursday Friday

7-1 Fractions and Decimals to Percents p. 180-181, New Progress text

7-1 Exercises p. 180

7-1 Worksheet p. 63

7-2 Percents to Fractions and Decimals p. 182-183,  New Progress text

7-2 Exercises p. 182

7-2 Worksheet p. 64

7-3 Finding a Part or a Percentage of a Number p. 184-185,  New Progress text

7-3 Exercises p. 184

7-3 Worksheet p. 65

7-4 Finding Percent p. 186-187, New Progress text

7-4 Exercises p. 186

7-4 Worksheet p. 66

No School

 

 

UNIT PLANS - Math Standards

 

Unit: Ratio and Proportion

Know

Students will know how to recognize and write ratios, rates and proportions.

Understand

Students will understand how to write and solve proportions.

Do

Students will need to identify ratios and rates. They will read, write and solve proportions. Students will also identify types of proportions, similar triangles and trigonometric ratios.

 

Key Learning: Students will need to identify ratios and rates. They will read, write and solve proportions. Students will also identify types of proportions, similar triangles and trigonometric ratios.
 

 

Unit Essential Questions: How are ratios and rates used and how can I write and solve different types of proportions?

Concept 1

Ratios and Rates

Concept 2

Proportions

Concept 3

Direct Proportions

Concept 4

Scale Drawings

Lesson Essential Question:

What are the differences between ratios and rates and how are they used in mathematics?

Lesson Essential Question:

How are ratios used to write and solve proportions?

Lesson Essential Question:

How can I write and solve direct proportions?

Lesson Essential Question:

How can I use proportions to solve scale drawings?
 

Concept 5

Inverse Proportion

Concept 6

Partitive Proportion

Concept 7

Similar Triangles

Concept 8

Trigonometric Ratios

Lesson Essential Question:

How can I write and solve inverse proportions?

Lesson Essential Question:

How can I write and solve partitive proportions?

Lesson Essential Question:

How can I use proportions to find the missing sides of similar triangles?

Lesson Essential Question:

How can I find trigonometric values using proportions and tables?

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

 

WEEKLY LESSON PLANS

Date: 1/19/09

Monday Tuesday Wednesday Thursday Friday

6-7 Similar Triangles p. 166-167, New Progress text

6-7 Exercises p. 166

6-8 Trigonometric Ratios p. 168-169, New Progress text

6-8 Exercises p. 168

6-7 and 6-8 Worksheet p. 62

6-9 Problem Solving: Drawing a Picture p. 170-171, New Progress text

6-9 Exercises p. 170

Chapter Review: More Practice p. 174, New Progress text

Review Exercises p. 174

Chapter 6 Test

Finish Missing Assignments

 

WEEKLY LESSON PLANS

Date: 1/5/09

Monday Tuesday Wednesday Thursday Friday

Inservice

Inservice

6-1 Ratio and Rates p. 154-155, New Progress text

6-1 Exercises p. 155

6-1 Worksheet p. 56

6-2 Proportions p. 156-157, New Progress text

6-2 Exercises p. 157

6-2 Worksheet p. 57

6-3 Direct Proportions p. 158-159, New Progress text

6-3 Exercises p. 159

6-3 Worksheet p. 58

 

 

UNIT PLANS - Math Standards

 

Unit: Metric Measurement

 

Know

Students will know the concepts of metric measurements.

Understand

Students will understand the concepts of metric measurement.

Do

Students will apply the concepts of metric measurement.

 

Key Learning: Students will know and understand the concepts of metric measurements through demonstration of measuring with metric units.

 

Unit Essential Questions: How can I use metric measurement to find length and perimeter, area and volume, mass, capacity, temperature and time?

 

Concept 1

Metric Units of Length

Concept 2

Measuring Length and Perimeter Using Metric Units

Concept 3

Finding Area and Volume Using Metric Units

Concept 4

Metric Units for Mass, Capacity, Temperature, and Time

Lesson Essential Question:

How can I find the length of objects using the metric units of length?

Lesson Essential Question

How can I find missing dimensions with known units of metric measurements?

Lesson Essential Question:

How can I find area and volume with missing dimensions?

Lesson Essential Question:

How can I find mass, capacity, and temperature using metric units of measurement?

Concept 5

 

Concept 6

 

Concept 7

 

Concept 8

 

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Concept 9

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

Lesson Essential Question:

 

WEEKLY LESSON PLANS

Date: 12/22/08

Monday Tuesday Wednesday Thursday Friday

 Finish Missing Assignments

Finish Missing Assignments

No School

Merry Christmas!

No School

 

 

WEEKLY LESSON PLANS

Date: 12/15/08

Monday Tuesday Wednesday Thursday Friday

 Algebra Concepts

Book 2: Variables, Terms, and Expressions

 Algebra Concepts

Book 2: Variables, Terms, and Expressions

 Algebra Concepts

Book 2: Variables, Terms, and Expressions

 Algebra Concepts

Book 2: Variables, Terms, and Expressions

 Algebra Concepts

Book 2: Variables, Terms, and Expressions

 

WEEKLY LESSON PLANS

Date: 12/8/08

Monday Tuesday Wednesday Thursday Friday

 Algebra Concepts

Book 1: Integers and Expressions

Algebra Concepts

Book 1: Integers and Expressions

Algebra Concepts

Book 1: Integers and Expressions

Algebra Concepts

Book 1: Integers and Expressions

Algebra Concepts

Book 1: Integers and Expressions

 

WEEKLY LESSON PLANS

Date: 12/1/08

Monday Tuesday Wednesday Thursday Friday

Metric Measurement

Finding Area and Volume Using Metric Units: Book 3

Metric Measurement

Finding Area and Volume Using Metric Units: Book 3

Metric Measurement

Finding Area and Volume Using Metric Units: Book 3

Metric Measurement

Finding Area and Volume Using Metric Units: Book 3

Metric Measurement

Finding Area and Volume Using Metric Units: Book 3

 

WEEKLY LESSON PLANS

Date: 11/24/08

Monday Tuesday Wednesday Thursday Friday

Metric Measurement

Metric Units of Length: Book 2

Metric Measurement

Metric Units of Length: Book 2

Metric Measurement

Metric Units of Length: Book 2

No School

No School

 

WEEKLY LESSON PLANS

Date: 11/17/08

Monday Tuesday Wednesday Thursday Friday

Metric Measurement

Metric Units of Length: Book 1

Converting Metric Linear Measures p. 11

Metric Measurement

Metric Units of Length: Book 1

Converting Metric Linear Measures p. 12

Metric Measurement

Metric Units of Length: Book 1

Converting Metric Linear Measures p. 13

Metric Measurement

Metric Units of Length: Book 1

 

Metric Measurement

Metric Units of Length: Book 1

 

 

UNIT PLANS - Math Standards

 

Unit: Rational Numbers

 

Know

Students will know that rational numbers represent whole numbers, integers, positive and negative fractions, terminating and repeating decimals.

Understand

Students will understand the properties of rational numbers.

Do

Students will apply the properties of rational numbers to determine solutions to equations.

 

Key Learning: Students will identify and compare rational numbers. The properties of rational numbers will be applied to solve equations.

 

 

Unit Essential Questions: How can I write and solve equations using rational numbers?

 

Concept 1

Rational Numbers

Concept 2

Properties of Rational Numbers

Concept 3

Adding Rational Numbers

Concept 4

Subtracting Rational Numbers

Lesson Essential Question:

What are the rational numbers?

Lesson Essential Question:

What are the properties of rational numbers?

Lesson Essential Question:

How can I add rational numbers?

Lesson Essential Question:

How can I subtract rational numbers?
 

Concept 5

Equations with Addition and Subtraction

Concept 6

Multiplying Rational Numbers

Concept 7

Dividing Rational Numbers

Concept 8

Solving Multiplication and Division Equations

Lesson Essential Question:

How can I solve equations with addition and subtraction of rational numbers?

Lesson Essential Question:

How can I solve equations with multiplication of rational numbers?

Lesson Essential Question:

How can I solve equations with division of rational numbers?

 

Lesson Essential Question:

How can I solve equations with multiplication and division of rational numbers?

Concept 9

Equations: Two Step Solutions

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

How can I solve equations with multiple steps?

Lesson Essential Question:

 

 

Lesson Essential Question:

 

 

Lesson Essential Question:

 

 

Date: 11/3/08

Monday Tuesday Wednesday Thursday Friday

Solutions of Equations

Addition and Subtraction of Integers p. 39-40

Solutions of Equations

Solving by addition and subtraction p. 59-60

Solutions of Equations

Solving by two step method p. 69-70

Solutions of Equations

Solving by combining like terms p. 71-72

Solutions of Equations

Solving with variable on both sides of equation p. 75-76

 

WEEKLY LESSON PLANS

Date: 10/27/08

Monday Tuesday Wednesday Thursday Friday

4-5 Equations with Addition and Subtraction p. 108-109, New Progress text

4-5 Exercises 1-42 p. 108

4-5 Homework Worksheet p. 42

 

4-6 Multiplying Rational Numbers p. 110-111, New Progress text

4-6 Exercises 1-49 p. 110

4-6 Homework Worksheet p. 43

4-7 Dividing Rational Numbers p. 112-113, New Progress text

4-7 Exercises 1-67 p. 112

4-7 Homework Worksheet p. 44

4-8 Solving Multiplication and Division Equations p. 114-115, New Progress text

4-8 Exercises p. 114

4-8 Homework Worksheet p. 45

4-9 Equations: Two Step Solutions p. 116-117, New Progress text

4-9 Exercises 1-28 p. 117

4-9 Homework Worksheet p. 46

 


 

WEEKLY LESSON PLANS

Date: 10/20/08

Monday Tuesday Wednesday Thursday Friday

4-1 Rational Numbers p. 100-101, New Progress text

4-1 Exercises 1-78 p. 101

4-1 Homework Worksheet p. 38

4-2 Properties of Rational Numbers p. 102-103, New Progress text

4-2 Exercises 1-49 p. 102

4-2 Homework Worksheet p. 39

4-3 Adding Rational Numbers p. 104-105, New Progress text

4-3 Exercises 1-80 p. 104

4-3 Homework Worksheet p. 40

4-4 Subtracting Rational Numbers p. 106-107, New Progress text

4-4 Exercises 1-69 p. 106

4-4 Homework Worksheet p. 41

4-5 Equations with Addition and Subtraction p. 108-109, New Progress text

4-5 Exercises 1-42 p. 108

4-5 Homework Worksheet p. 42

 
 

UNIT PLANS - Math Standards

 

Unit: Equations, Inequalities, and Integers

 

Know

Students will know how to solve equations and inequalities with the use of integers.

Understand

Students will understand the concepts needed to solve equations.

Do

Students will demonstrate the skills necessary to solve equations.

 

Key Learning: Students will demonstrate the skills necessary to solve equations.

 

 

Unit Essential Questions: How can I solve simple algebraic equations?

 

Concept 1

Order of Operations

Concept 2

Writing and Evaluating Mathematical or Algebraic Expressions

Concept 3

Writing and Evaluating Mathematical or Algebraic Sentences

Concept 4

Addition and Subtraction Equations

Lesson Essential Question:

How can I simplify mathematical expressions using the order of operations?

Lesson Essential Question:

How can I write and evaluate mathematical or algebraic expressions?

Lesson Essential Question:

How can I write or evaluate a mathematical sentence and determine if a given value makes an equation or inequality true or false?

Lesson Essential Question:

How can I solve equations involving addition and subtraction?
 

Concept 5

Multiplication and Division Equations

Concept 6

Equations with More than One Operation

Concept 7

Equations with Grouping Symbols

Concept 8

Solutions for Inequalities

Lesson Essential Question:

How can I solve equations involving multiplication and division?

Lesson Essential Question:

How can I solve equations that have more than one operation?

Lesson Essential Question:

How can I solve equations that include grouping symbols?

 

Lesson Essential Question:

How can I determine the solution set of an inequality when given a replacement set?

Concept 9

Integers and Operations with Integers

Concept 10

Concept 11

Concept 12

Lesson Essential Question:

What are integers and how can I use them to solve equations?

Lesson Essential Question:

 

 

Lesson Essential Question:

 

 

Lesson Essential Question:

 

 

WEEKLY LESSON PLANS

Date: 10/13/08

Monday Tuesday Wednesday Thursday Friday

No School

 

3-12 Integers p. 86-87, New Progress text

3-12 Exercises 1-69 p. 86

3-12 Worksheet p. 34

 

3-13 Operations with Integers p. 88-89, New Progress text

3-13 Exercises 1-76 p. 88

3-13 Worksheet p. 35 

3-15 Problem Solving: Writing Equations p. 92-93, New Progress text

3-15 Exercises 1-12 p. 93

3-15 Worksheet p. 37

3-16 Problem Solving: Applications p. 94-95, New Progress text

3-16 Exercises 1-25 p. 94-95

 

WEEKLY LESSON PLANS

Date: 10/6/08

Monday Tuesday Wednesday Thursday Friday

3-9 Equations with Grouping Symbols p. 80, New Progress text

3-9 Exercises 1-35 p. 80

Practice worksheet p. 31

3-10 Solutions for Inequalities p. 82-83, New Progress text

3-10 Exercises 1-34 p. 82

Practice worksheet p. 32

3-11 Using Formulas p. 84-85, New Progress text

3-11 Exercises 1-33 p. 84

Practice worksheet p. 33

3-12 Integers p. 86-87, New Progress text

3-12 Exercises 1-69 p. 86

Practice worksheet p. 34

3-13 Operations with Integers p. 88-89, New Progress text

3-13 Exercises 1-76 p. 88

Practice worksheet p. 35

 

 

MATH STANDARDS

Instructor: Jack Laemmle

Phone: 605-698-3953 ex. 3500

Email: j_laemmle@tiospa-zina.us

Required:  Full year - 1 Credit

Prerequisite:  Required for students having successfully completed 8th grade mathematics.

Course Description:  Math Standards is a pre-algebra course designed to strengthen and build upon previously acquired math skills. It introduces algebraic and geometric concepts that will prepare students for success in Algebra 1.

Assessment Methods:  Graded assignments, quizzes, tests and semester finals

Instructional Delivery: Lecture and guided instruction, independent and small group activities

Text: New Progress in Mathematics New Edition by Sadlier-Oxford.

Instructional Materials:  Workbooks and resource material, computers and calculators

Math Standards Fall Semester

Unit Chapters

Length (approximation)

TZTS Standards

SD Standards

1. Whole Numbers and Decimals

10 Days

M5a-c, M7a,b

9-12.N.1.1, 9-12.N.3.1., 9-12.N.3.2.

2. Fractions

10 Days

M1a-c, M5a-c, M7a,b

9-12.N.1.2

3. Equations, Inequalities and Integers

18 Days

M9a-f, M1a-c

9-12.A.1.1, 9-12.A.2.1

4. Rational Numbers

13 Days

M9a-f, M1a-c

9-12.A.1.1, 9-12.A.2.1, 9-12.A.2.2

 5. Number Theory

14 Days

M1a-c, M5a-c, M7a,b

9-12.N.1.1, 9-12.N.1.2.

 6. Ratio and Proportion

13 Days

M1a-c, M5a-c, M7a,b

9-12.G.2.3., 9-12.M.1.2., 9-12.A.4.4A

7. Percent

12 Days

M1a-c, M5a-c, M7a,b

9-12.G.2.3., 9-12.N.3.2

 

Math Standards Spring Semester

Unit Chapters

Length (approximation)

TZTS Standards

SD Standards

 8. Consumer Mathematics

10 Days

M1a-c, M2a-d

9-12.G.2.3., 9-12.M.1.2., 9-12.A.4.4A

9. Probability and Statistics

12 Days

M3a-e, M1a-c

9-12.S.1.1., 9-12.S.1.2., 9-12.S.1.3., 9-12.S.2.1., 9-12.S.2.2., 9-12.S.2.1A.

10. Geometry and Measurement

15 Days

M8a,b, M10a-f, M4a-g

9-12.G.1.1., 9-12.G.1.2., 9-12.G.2.1., 9-12.G.2.3.

11. Perimeter and Area

15 Days

M8a,b, M10a-f

9-12.M.1.3., 9-12.G.2.1.

12. Real Numbers

10 Days

M9a-f

9-12.N.1.1, 9-12.N.3.1., 9-12.N.3.2.

13. Surface Area and Volume

13 Days

M8a,b

9-12.G.1.1., 9-12.G.1.2., 9-12.G.2.1., 9-12.G.2.3.

14. Coordinate Geometry

15 Days

M9a-f, M10a-f

9-12.A.1.1, 9-12.A.2.1., 9-12.A.3.1., 9-12.A.3.2., 9-12.A.4.1.