Aug/

Sept through October

Nov. to January

October

(Science)

Feb/Mar

April through June

Prime Time

Bits and Pieces I

Data About Us

Parkside Science Unit and Shapes and Designs, Investigation 3

Covering and Surrounding

Covering and Surrounding and Parkside Materials

Shapes & Designs,

Investigations 3 & 4

Bits and Pieces II

Number, Number Sense and Operations Standard

7. Apply and explain the use of prime factorizations, common factors, and common multiples in problem situations.

·           Relationships among factors: multiples, divisors, and factors

·           Properties of prime and composite numbers as well as even and odd.

·           Develop strategies for problem solving.

·           Mathematical process evaluated through written and oral communications.

5. Use exponents to solve multi-step problems.

Number, Number Sense and Operations Standard

A.     Represent and compare numbers less than 0 through familiar applications and extending the number line.

B.     Compare, order and convert among fractions, decimals and percents.

D.     Use models and pictures to relate concepts of ratio and percent.

I.        Use a variety of strategies, including proportional reasoning, to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals and percents.

C.     Develop meaning for percents including percents greater than 100 and less than 1.

Patterns, Functions and Algebra Standard

1. Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications.

5. Use rules and variables to describe patterns, functions and other relationships.

10. Use formulas in problem-solving situations.

Number, Number Sense and Operations Standard

1. Represent and compare numbers less than 0 through familiar applications and extending the number line.

Data Analysis and Probability Standard

1. Read, create, and use line graphs, histograms, circle graphs and other representations when appropriate.

2. Interpret data by looking for patterns and relationships, draw and justify conclusions, and answers related questions.
3. Evaluate interpretations and conclusions as additional data are collected, modify conclusions and predictions, and justify new findings.

4. Compare increasingly complex displays of data, such as multiple sets of data on the same graph.

5. Collect, organize, display and interpret data for a specific purpose or need.

6. Determine and use the range, mean, median and mode to analyze and compare data, and explain what each indicates about the data.

Patterns, Functions and Algebra Standard

A.       Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications.

B.        Represent, analyze and generalize a variety of patterns and functions with tables, graphs, words and symbolic rules.

6. Use representations, such as tables, graphs and equations, to model situations and to solve problems, especially those that involve linear relationships.

Geometry and Spatial Sense

C.       Specify locations and plot ordered pairs on a coordinate plane.

Measurement

A.     Select appropriate units to measure using metric units.

B.     Convert units of length, volume and mass within the same measurement system.

4. Select a tool and measure accurately to a specified level of precision.

Measurement

1. Select appropriate units to measure angles, circumferences, area, and perimeter.

3. Identify appropriate tools and apply appropriate techniques for measuring perimeter, circumference and area of regular and irregular shapes.

4. Select a tool and measure accurately to a specified level of precision.

7. Understand and demonstrate the independence of perimeter and area for two-dimensional shapes and of surface area and volume for three-dimensional shapes.

Patterns,  Functions and Algebra

1. Describe, extend and determine the rule for patterns and relationships occurring in numeric patterns, computation, geometry, graphs and other applications.

Geometry and Spatial Sense

1. Identify and label angle parts and the regions defined within the plane where the angle resides.

2. Draw circles, and identify and determine the relationships among the radius, diameter, center and circumference.

4. Identify, describe and classify types of line pairs, angles, two-dimensional figures using their properties.

6. Describe and use the concepts of congruence, similarity and symmetry to solve problems.

7. Describe and use properties of triangles to solve problems involving angle measures and side lengths of right triangles.

Number, Number Sense and Operations Standard

4. Use models and pictures to relate concepts of ratio, proportion and percent.

9. Use a variety of strategies, including proportional reasoning to estimate, compute, solve and explain solutions to problems involving integers, fractions, decimals, and percents.

8. Use and analyze the steps in standard and non-standard algorithms for computing with fractions, decimals and integers.

3. Develop meaning for percents including percents greater than 100 and less than 1.

6. Apply number system properties when performing computations.

6. Explain the effects of operations on the magnitude of quantities.

Patterns, Functions and Algebra Standard

6. Use representations such as tables, graphs and equations, to model situations and to solve problems, especially those that involve linear relationships.

5. Use rules and variables to describe patterns, functions and other relationships.

11. Graph linear equations and inequalities.

Data Analysis & Probability

2. Interpret data by looking for patterns and relationships, draw and justify conclusions, and answer related questions.

5. Collect, organize, display and interpret data for a specific purpose or need.

1. Read, create and use line graphs, histograms, circle graphs, box-and-whiskers plots, stem-and-leaf plots, and other representations when appropriate.

Number, Number Sense and Operations Standard

1a.   Decompose and recompose whole

       numbers using factors and exponents

       (e.g., 32 = 2 x 2 x 2 x 2 x 2 = X to 5^th

       power).

1b.  explain why “squared”  means

       “second power” and “cubed”

        means “third power.”

2. Find and use the prime factorization of composite numbers.  For example:

1. Use the prime factorization to recognize the greatest common factor (GCF).
2.  Use the prime factorization to recognize the least common multiple (LCM).

3. Apply the prime factorization to solve problems and explain solutions.

6. Simplify numerical expressions.

3a  Explain why a number is referred

      to as being “rational.”

3b.  recognize that the expression a/b

      can mean a parts of size 1/b each,

      a divided by b, or the ratio of a to

      b.

4.         Describe what it means to find a specific percent of a number, using real-life examples.

5.         Use models and pictures to relate concepts of ratio and percent.

9.         Give examples of how ratios are used to represent comparisons; e.g., part-to-part, part- to-whole, whole to part.

11. Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning.

13. Estimate reasonable solutions to problem situations involving fractions and decimals; e.g., 7/8 + 12/13 » 2 and 4.23 x 5.8 » 25.

14. Use ratios and percents to represent problem situations and determine the reasonableness of solutions.

15. Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100.

Patterns, Functions and Algebra Standard

1.         Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.

2.        Use word and symbols to describe numerical and geometric patterns, rules and functions.

Number, Number Sense and Operations Standard

7.         Use simple expressions involving integers to represent and solve problems; e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss?

Data Analysis and Probability Standard

1.      Read, construct and interpret line graphs, circle graphs and histograms.

2.      Select, create and use graphical representations that are appropriate for the type of data collected.

3.      Compare representations of the same data in different types of graphs, such as a bar graph and circle graph.

4.      Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range).

5.      Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers.

6.      Make logical inferences from statistical data.

Patterns, Functions and Algebra Standard

1.      Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.

2.      Use word and symbols to describe numerical and geometric patterns, rules and functions.

5.      Produce and interpret graphs that represent the relationship between two variables.

Geometry and Spatial Sense

6.         Extend understanding of coordinate system to include points whose x or y values may be negative numbers.

Measurement

1.         Identify and select appropriate units to measure angles; i.e., degrees.

5.         Make conversions within the same measurement system while performing computations.

3.         Estimate a measurement to a greater degree of precision than the tool provides.

Measurement

2.         Use strategies to develop formulas for finding circumference and area of circles, and to determine the area of sectors; e.g., ½ circle, 2/3 circle, 1/3 circle, ¼ circle.

3.         Estimate perimeter or circumference and area for circles, triangles, quadrilaterals and irregular shapes

a)           Estimating lengths, using string or links, areas using tiles or grid and using cubes;

b)          Measuring attributes (diameter, side lengths, or heights) and using established formulas for circles, triangles, rectangles, and parallelograms.

4.         Determine which measure (perimeter, area) matches the context for a problem situation; e.g., perimeter is the context for fencing a garden.

5a.  Understand the difference between  

       perimeter and area. 

5b.  Demonstrate that two shapes may have

       the same perimeter, but different areas

       or may have the same area, but

       different perimeters.

6.         Describe what happens to the perimeter and area of a two-dimensional shape when the measurements of the shape are changed; e.g., length of sides are doubled.

·        Parkside materials (Supplement) Supplement

3.         Estimate a measurement to a greater degree of precision than the tool provides.

2.      Use strategies to develop formulas for finding circumference and area of circles, and to determine the area of sectors; e.g., ½ circle, 2/3 circle, 1/3 circle, ¼ circle.

6.      Evaluate simple expressions by replacing variables with given values, and use formulas in problem-solving situations.

Patterns,  Functions and Algebra

1.         Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.

Geometry and Spatial Sense

1.      Classify and describe two-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides.

2.         Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse, etc.

3.         Use multiple classification criteria to classify triangles; e.g., right scalene triangle.

4.         Identify and define relationships between planes; i.e., parallel, perpendicular and intersecting.

5.         Predict and describe sizes, positions and orientations of two-dimensional shapes after transformations such as reflections, rotations, translations and dilations.

6.         Draw similar figures that model proportional relationships; e.g., model similar figures with a 1 to 2 relationship by sketching two of the same figure, one with corresponding sides twice the length of the other.

Number, Number Sense and Operations Standard

4.         Describe what it means to find a specific percent of a number, using real-life examples.

5.         Use models and pictures to relate concepts of ratio and percent, including percents less than 1 and greater than 100.

·        Extend with Parkside materials.

7.         Use simple expressions involving integers to represent and solve problems; e.g., if a running back loses 15 yards on the first carry but gains 8 yards on the second carry, what is the net gain/loss?

8.         Represent multiplication and division situations involving fractions and decimals with models and visual representations; e.g., show with pattern blocks what it means to take 2 2/3 ¸ 1/6.

10.            Recognize that a quotient may be larger than the dividend when the divisor is a fractions; e.g., 6 ÷ ½ = 12.

11.            Perform fraction and decimal computations and justify their solutions; e.g., using manipulatives, diagrams, mathematical reasoning.

12.     Develop and analyze algorithms for computing with fractions and decimals, and demonstrate fluency in their use.

13.     Estimate reasonable solutions to problem situations involving fractions and decimals; e.g., 7/8 + 12/13 » 2 and 4.23 X 5.8 » 25.

14.     Use ratios and percents to represent problem situations and determine the reasonableness of solutions.

15.     Determine the percent of a number and solve related problems; e.g., find the percent markdown if the original price was $140, and the sale price is $100.

Patterns, Functions and Algebra Standard

1.         Represent and analyze patterns, rules and functions, using physical materials, tables and graphs.

2.         Use words and symbols to describe numerical and geometric patterns, rules and functions.

4.         Solve simple linear equations and inequalities using physical models, paper and pencil, tables and graphs.

Data Analysis & Probability

1.         Read, construct and interpret line graphs, circle graphs and histograms.

Test Items

1,2, 3, 4, 5, 6, 7, 8

Assess vocabulary use in class

Popcorn & carpet questions

Glencoe Practice worksheet 4-2

Test Item

9C

Additional Practice Investigation 5, question #3, add “Express your final answer using prime factorization.” Pg. 53, # 13, 14, 15

Pg. 57, #4

Test Items

1, 2, 3, 8

Test Items

7, 8

Assess vocabulary use in class

Test Item 2

Test Item 4

Test Items 1, 3a

Test Items 2, 3a

Test Items 3a, 4

Test Items 3a, 3b

Test Items 3a, 3b, 3c, 5

Test Items 4, 5

Check-Up 2, qu.. #6

Question Bank, qu. #1

Test Items 3c

Pizzazz Book E 55-58 Worksheets

Energy, Machines & Motion (EMM)

Inquiries 5.1, 6.1, & 6.2 (line graph and histograms)

Aims M&M Activity or similar activity

E.M.M. Inquiries 6.1 & 6.2

Data About Us

a.  Unit Test

     1B, 1A

b.  Check Up

     qu. #1

c.  Quiz #2

Data About Us

Quiz, qu. #2

Data About Us

Quiz qu. #3 & E.M.M.

Inquiry labs/

Reflection Questions

Data About Us

Quiz Item #5

Data About Us

Quiz, question #5

Science E.M.M. Inquiry 5.1 lab

Data About Us

Question Bank #3

Unit Test qu. 4b-6

“George is in Trouble,” “In Bloom,” “Hi, There”

Graphing Worksheets

Pizzazz, Book D, pp. 26 - 29

Shapes & Designs

Unit Test, #9

Pizzazz

Book D, pp. 11-15

Math Sharpen Up, p. 110

Bits & Pieces I, Additional Practice Investigation 1, qu. 2

E.M.M. Science labs with spring scales & balances

Test Item 6

Investigation Worksheet #2, qu. 1 & 2 & Quiz A, #1

Test Items 2a, 2 b

Test Items 1, 3, 4a, 4b, 6

Quiz A, qu. #4; Question Bank qu. #1

Test Items 1, 3, 6

Test Items 1, 4a, 4b, 5a, 5b

Math Sharpen Up Book, p. 90

Test Items 2A, 2B

Covering & Surrounding Question Bank, qu. 3

Unit Test, #6

Additional Practice Investigation 7, qu. #2, 3, 4,5

Test Items 4a, 4b

Shapes & Design Quiz, qu. #14 - 17

2a. Shapes &

      Designs Investigation 4, ACE #6

2b. Shapes &

      Designs

Investigation 3

Pizzazz Book D, p. 34

Math Sharpen Up, p. 74

Math Sharpen Up, p. 70

Pizzazz Book D, pp. 31-32

Ruins, Question Bank, #1,2

Shapes, p 53, Problem 5.1

Math Sharpen Up, pp. 80, 81, 84, 85, 86

Math Sharpen Up, pp. 81 & 86

Use p 13 #6-10

Test Item 4

Test Item 1b

Test Item 4

Test Item 4

Test Items 2a, 5, and Bits II Unit Take Home Mini Project 3c

p 53 #1-2 & Use to Develop Algorithms & p. 76 Reflection Questions

Pizzazz Book C (fractions), pp. 36, 41, 50, 54, 62, 64, 69

Pizzazz Book B (decimals), pp. 32, 33, 43, 47, 55, 60, 65, 67

a.  Fractions p. 35

 (20-23)

b.  Decimals p. 72 (1-3)

c.  Investigation #3.1 & 3.2

d.  Additional Practice Investigation 3 Wkst. Qu. #3

p. 36 (#24-29) Fractions. p72 #1-3 Decimals

Test Items 3b, and Bits II Unit Test:  Take Home Mini Project #4 on p. 91;

Pizzazz Book E, pp. 7-8

Test Items 1a, 3a, 3b, 5, and  Bit II Unit Test: Take Home Mini Project 1, 2, 3b, 4

1a.  Question Bank qu. #4, p. 69

2a.  Unit Test, p. 87, qu #1

2b.Investigation 4.4 & 5.4

Test Item 2b