LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

7^th Grade

Course Rationale

The seventh grade math course is intended to strengthen the basic math skills used in higher mathematics courses and in all areas of life

beyond the classroom – both personal and professional. Whenever possible an effort is made to directly connect these skills to everyday

life examples.

Course Description

The purpose of this class is to prepare students for higher level mathematics courses and in the use of mathematics daily in their own

lives. The course reinforces and builds upon general computational skills within the areas of fractions, decimals, and integers using the

basic operations of addition, subtraction, multiplication, and division. Problem solving, measurement, ratios, proportions, percents

geometry, equations, and statistics are also included. Calculators and computers are used when appropriate.

Competencies

1. Students will use logical thinking and reasoning ability to solve real world problems from all disciplines.

2. Students will estimate and predict possible answer, check reasonableness and accuracy of actual solution.

3. Students will discuss and show examples of learned mathematical skills applied to real world situations

4. Students will discuss and write mathematical ideas, predictions and be able to explain and justify.

5. Students will transfer from written word to mathematical symbol.

6. Students will adapt mathematical processes to solve problems from other disciplines

7. Students will use calculator for mathematical applications.

8. Students will solve problems using proportions and percents.

9. Students will use the 3 ridged motions: translations, rotation, and reflection—to show congruence.

10. Students will apply knowledge of the properties and relationships of geometric figures to problems, drawings and real life situations.

11. Students will analyze and justify predictions made using collected data.

12. Students will determine the validity of information and predictions made based on statistics and probability in the real world.

13. Students will evaluate the value and reliability of decisions made based on statistics and probability in the real world.

14. Students will use technology to aid in understanding and evaluating numbers, information and data analysis.

15. Students will examine, continue, and predict patterns by using and or making rules, charts and graphs.

16. Students will use numbers to explain the difference between and true value of a number expressed in different forms.

17. Students will study maps and tabulate to solve problems involving transportation routes, bus and freight schedules.

Grade and/or class: Seventh Grade

Date of Last Revision: 2002-2003

Writer: Sheryl Siepker

Strand I. Problem Solving

By the end of grade 8, all students should know and do

KNOW

1. A variety of problem-solving strategies (such as organizing data, drawing a picture, looking for a patters, writing an expression using a variable).

2. Computational strategies with whole numbers, decimals, fractions, and integers.

3. Models, calculators, computers, charts, and graphs may be used to organize and solve problems.

4. Mathematical problem-solving strategies can apply to all disciplines and real-world problems.

DO:

	Missouri Frameworks	District Skill Competency	Activities	Assessment	Content Standards	Performance Standards
I. b.		1. Students will use logical thinking and reasoning ability to solve real world problems from all disciplines.	Using worksheets, text, and lecture students will apply math skills to solve real world problems.	Students will solve real world problems. Students will choose a topic to collect information for then graph their results. See chapter 1	M1, M2, M3	2.1, 3.1, 3.4, 3.6
I. d.		2. Students will estimate and predict possible answer, check reasonableness and accuracy of actual solution.	In their written work students will show estimates of solutions and justify their methods.	Students must show written estimates and written justification for their methods.	M1, M3	2.2, 3.7, 3.8

Strand II. Communication

By the end of grade 8, all students should know and be able to

KNOW:

1. The language of mathematics may be used in reading, writing, listening, and speaking.

2. How to represent mathematical ideas with visual models.

3. Mathematical symbols may be used to represent a variety of situations.

4. Information may be organized in a variety of ways.

DO:

Missouri Frameworks	District Skill Competency	Activities	Assessment	Content Standards	Performance Standards
II. b.	3. Students will discuss and show examples of learned mathematical skills applied to real world situations.	Using worksheets, text and lecture students will apply math skills to solve real world problems.	Students will solve real world problems.	M1	2.6, 4.8
II. f.	4. Students will discuss and write mathematical ideas, predictions and be able to explain and justify.	Using worksheets and text, and small groups, students will discuss mathematical ideas, identify patterns, and justify their reasoning.	Students will identify patterns, compare mathematical processes, and justify their reasoning.	M1	2.4
II. g.	5. Students will transfer from written word to mathematical symbol.	Using worksheets and text students will create equations from word problems and then solve them.	Students will create equations form word problems and then solve them.	M1	1.6, 1.9, 2.4

Strand IV Connections

By the end of grade 8, all students should know and be able to

KNOW:

1. Problems may be looked at in more than one way.

2. Mathematics is used in other subject areas.

3. Mathematics is used in the real world.

DO:

Missouri Frameworks

District Skill Competency

Activities

Assessment

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Performance Standards

IV. b.

6. Students will adapt mathematical processes to solve problems from other disciplines.

In large group discussion, students will find problems in other areas that can be solved mathematically and discuss.

Students will create a product for another class each quarter using math skills.

1.2, 1.3, 3.2, 3.5

IV. c.

7. Students will use calculator for mathematical applications.

Students will use the calculator for a mathematical application.

Student will use a calculator to convert fractions to decimals, figure percents and final square roots.

1.4, 2.7

Strand V. Number Sense (Show-Me Standards, Math 1)

By the end of grade 8, all students should know and be able to

KNOW:

1. Addition, subtraction, multiplication and division with rational numbers.

2. Numbers and their relationships can be represented in multiple forms.

The appropriate use of technology.

DO:

Missouri Frameworks	District Skill Competency	Activities	Assessment	Content Standards	Performance Standards
V. c.	8. Students will solve problems using proportions and percents.	Students will use newspapers to locate fractions, decimals and percent and discuss the uses and benefits of each form, convert from one form to another, and use to solve problems.	Students will solve problems using proportions and percents.	M1	1.6, 1.10

Strand VI. Geometric and Spatial Sense (Show-Me Standards, Math 2)

By the end of grade 8, all students should know and be able to

KNOW:

1. Structures of measurement systems.

2. Descriptions of two- and three-dimensional shapes and their relationships.

3. Geometric shapes are found in the real world.

DO:

Missouri Frameworks

District Skill Competency

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Assessment

Content Standards

Performance Standards

VI. b.

9. Students will use the 3 ridged motions: translations, rotation, and reflection—to show congruence.

Students will match congruent figures that are not in the same position and identify the rigid motions required to make them coincide.

Students will use a given shape to create congruent figures using the 3 ridged motions.

1.6

VI. c.

10. Students will apply knowledge of the properties and relationships of geometric figures to problems, drawings and real life situations.

Students will apply ideas of supplementary angles and vertical angles to find angle measure. Students will identify uses of surface and volume, then will solve for the volume or surface area.

Students will use basic geometry to solve problems using supplementary, complementary, and vertical angles, surface area and volume.

1.6, 2.4, 3.6

Strand VII. Data Analysis, Probability, and Statistics

By the end of grade 8, all students should know and be able to do

KNOW:

1. Standard measures of central tendency.

2. Methods to analyze data.

3. Methods of representing analyzed data.

4. Similarities and differences in theoretical and experimental probabilities.

5. The appropriate use of technology.

DO:

Missouri Frameworks	District Skill Competency	Activities	Assessment	Content Standards	Performance Standards
VII. c.	11. Students will analyze and justify predictions made using collected data.	Given data, students will make predictions and justify them to the class. Students will find mean, median mode and range. Using test scores and interpret the results.	Students will complete graphing project where they select the topic, collect the data, interpret the data then create a graph of the data.	M3	1.2, 1.4, 2.1, 3.7
VII. d.	12. Students will determine the validity of information and predictions made based on statistics and probability in the real world.	Students will discuss and analyze predictions made by other students, compare predictions, and justify their own predictions.	Students will analyze whether a stated prediction is valid and justify their response.	M3	1.7, 3.4, 3.6
VII. e.	13. Students will evaluate the value and reliability of decisions made based on statistics and probability in the real world.	Students will discuss and predict the benefits and drawbacks of decisions made based on statistics, and evaluate the validity of statistics used.	Given a set of data students will predict the reliability and validity of the information.	M3	1.3, 3.2, .4.3, 4.7
VII. f.	14. Students will use technology to aid in understanding and evaluating numbers, information and data analysis.	Students will use calculators and computers to graph given data and use the graphs to make projections.	Students will use calculators and computers to create a graph and then will make projections from the resulting information.	M3	1.7, 2.7

Strand VIII. Patterns and Relationships (Show-Me Standards, Math 3)

By the end of grade 8, all students should know and be able to do

KNOW:

1. Mathematical ideas may be represented with visual models.

2. Mathematical symbols can be used to represent real-world situations.

3. Patterns and relationships can be represented in a variety of ways.

4. Information can be organized to look for a pattern or relationship.

5. Patterns can be geometric and/or numeric

DO:

Missouri Frameworks

District Skill Competency

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Assessment

Content Standard

Performance Standard

VIII. b.

15. Students will examine, continue, and predict patterns by using and or making rules, charts and graphs.

Students will examine patterns given in text, then describe in writing and make a chart to show its progression.

Students will create a number pattern and then write the mathematical rule for their pattern.

1.6, 1.8, 2.1, 3.3

Strand IX. Mathematical Systems and Number Theory (Show-Me Standards, Math 5)

By the end of grade 8, all students should know

KNOW:

1. Commutative, associative, and distributive properties.

2. Properties of zero and one.

3. Patterns may be used to describe relationships for multiples, factors, and exponents.

4. Order of operations

DO:

Missouri Frameworks

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Performance Standards

IX. b.

16. Students will use numbers to explain the difference between and true value of a number expressed in different forms.

Students will compare and order groups of numbers, identify which group a number belongs to, and create factor trees.

Students will place a given set of numbers in numerical order and use factor trees to determine the LCM and GCF of a given set of numbers.

1.6, 2.2

Strand X. Discrete Mathematics (Show-Me Standards, Math 6)

By the end of grade 8, all students should know and be able to do

KNOW:

1. Definition and examples of patterns.

2. Definition and example of tree diagrams.

3. Definition and examples of Venn diagrams.

4. Definition and examples of networks.

DO:

Missouri Frameworks

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Assessment

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Performance Standards

X. d.

17. Students will study maps and tabulate to solve problems involving transportation routes, bus and freight schedules.

Students will use maps and tables to calculate distances and elapsed time and speed problems.

Given a map and a destination students will choose a route, calculate distance, and determine time needed and the total expense.

2.2, 3.2, 3.3, 3.6