Sept.

Sept/Oct

Oct/Nov

Math Thinking

Activities involving:

·      Close to 100

·      Money

·      100 Chart

Arrays & Shares

Landmarks in the 1000s

Number, Number Sense and Operations Standard

10. Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

1. Use place value structure of the base-ten number system to read, write, represent and compare whole numbers and decimals.

1. Use place value structure of the base-ten number system to read, write, represent and compare whole numbers and decimals.

L.      Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

12. Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

F.      Count money and make change using both coins and paper bills.

L.        Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

12. Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

12. Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

12. Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

9. Demonstrate fluency in multiplication facts with factors through 10 and corresponding divisions.

11. Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using whole numbers.

5. Recognize and classify numbers as prime or composite and list factors.

E.        Recognize and classify numbers as prime or composite and list factors.

J.       Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

12. Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

11. Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using whole numbers.

12. Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

11. Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using whole numbers.

Number, Number Sense and Operations Standard

9. Estimate the results of computations involving whole numbers, using a variety of strategies.

3. Round whole numbers to a given place value.

2. Use place value structure of the base-ten number system to read, write, represent and compare whole numbers through millions and decimals through thousandths.

11. Develop and explain strategies for performing computations mentally.

14. Demonstrate fluency in adding whole numbers.

8. Solve problems involving counting money and making change, using both coins and paper bills.

11. Develop and explain strategies for performing computations mentally.

13. Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.

14. Demonstrate fluency in adding and subtracting whole numbers.

13. Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.

14. Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten.

7. Recognize that division may be used to solve different types of problem situations and interpret the meaning of remainders; e.g., situations involving measurement, money.

4. Identify and represent factors and multiples of whole numbers through 100, and classify numbers as prime or composite.

6.      Use associative and distributive properties to simplify and perform computations; e.g., use left to right multiplication and the distributive property to find an exact answer without paper and pencil, such as 5 x 47 = 5 x 40 + 5 x 7 = 200 + 35 = 235.

4. Identify and represent factors and multiples of whole numbers through 100, and classify numbers as prime or composite.

9.      Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

11.  Develop and explain strategies for performing computations mentally.

12.  Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using an organized approach, and verify and interpret results with respect to the original problem.

13.  Use a variety of methods and appropriate tools for computing with whole numbers, e.g., mental math, paper and pencil, and calculator.

7.      Recognize that division may be used to solve different types of problem situations and interpret the meaning of remainders; e.g., situations involving measurement, money.

Task  1A

Task  1A

Task  1A, 3A, 3B, 3C

Task  1B, 3D

Task  1A

Task  2A, 2B

Task  2A, 2B

Task  3A, 3B, 3C

Task  3A, 3B, 3C

Task  1B, 2A, 3A, 4, 6

Task  1B, 2A, 3A, 4, 6

Task  5A, 5B

Task  1A, 7A, 2A, 2B

Task  3A

Task  1A

Task  3A

Task  2B, 4B

Task  3A, 3B

Task  2A, 5A, 5B, 5C, 5D

Task  4A

Nov/Dec

January

January

February

Feb/Mar

Feb/Mar

March

March

April

May/June

Different Shapes Equal Pieces

Geometry

*Not covered by Investigations Unit Supplement

Sunken Ships and Grid Patterns

Measurement

*Not covered by Investigations Unit

Supplement

Shape of the Data

* Probability Supplement

Money, Miles and Large Numbers

* Patterns, Functions and Algebra Supplement

Packages and Groups

Three Out of Four Like Spaghetti

Investigation 1 Only

2. Recognize and generate equivalent representations for whole numbers, fractions and decimals.

2. Recognize and generate equivalent representations for whole numbers, fractions and decimals.

B.     Recognize and generate equivalent representations for whole numbers, fractions and decimals.

D.     Use models, points of reference and equivalent forms of commonly used fractions to judge the size of fractions and to compare, describe and order them.

D.     Use models, points of reference and equivalent forms of commonly used fractions to judge the size of fractions and to compare, describe and order them.

J.       Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

13. Add and subtract commonly used fractions with like denominators and decimals, using models and paper and pencil.

10. Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

13. Add and subtract commonly used fractions with like denominators and decimals, using models and paper and pencil.

Geometry and Spatial Sense

A.       Provide rationale for groupings and comparisons of two-dimensional figures and three-dimensional objects.

C.       Describe and identify intersecting, parallel and perpendicular lines or segments in the environment.

E.        Use attributes to describe, classify and sketch plane figures and build solid objects.

F.        Develop definitions of classes of shapes.

I.          Describe, identify and model reflections, rotations and translations, using physical materials.

J.          Describe a motion or series of transformations that show two shapes are congruent.

G.       Find and name locations in coordinate systems.

H.       Identify and describe line and rotational symmetry in two-dimensional shapes and designs.

I.          Describe, identify and model reflections, rotations and translations, using physical materials.

J.          Describe a motion or series of transformations that show two shapes are congruent.

Measurement Standard

A.       Select appropriate units for perimeter, area, weight, volume (capacity), time and temperature using:

·        Object of uniform size;

·        U.S. customary units; e.g., mile, square inch, cubic inch, second degree Fahrenheit, and other units as appropriate;

·        Metric units; e.g., millimeter, kilometer, square centimeter, kilogram, cubic centimeter, degree Celsius, and other units as appropriate.

B.        Know that the number of units is inversely related to the size of the unit for any item being measured.

C.       Develop common referents for units of measure for length, weight, volume (capacity) and time to make comparisons and estimates.

D.       Identify appropriate tools and apply counting techniques for measuring side lengths, perimeter, and area of squares, rectangles, and simple irregular two-dimensional shapes, volume of rectangular prisms, and time and temperature.

E.        Tell time to the nearest minute.

Data Analysis & Probability

A.       Gather and organize data from surveys and classroom experiments, including data collected over a period of time.

B.        Read and interpret tables, charts, graphs (bar, picture, line, line plot) and timelines as sources of information, identify main idea, draw conclusions, and make predictions.

C.       Construct charts, tables and graphs to represent data, including picture graphs, bar graphs, line graphs, line plots and simple Venn diagrams.

E.        Describe data using mode, median and range.

Numbers, Number Sense and Operations Standard

B.        Recognize and generate equivalent representations for whole numbers and decimals.

F.        Count money and make change using both coins and paper bills.

J.          Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

K.       Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using whole numbers.

L.        Use a variety of methods and appropriate tools (mental math, paper and pencil), calculators) for computing with whole numbers.

Number, Number Sense and Operations Standard

E.        Recognize and classify numbers as prime or composite and list factors.

H.       Use relationships between operations, such as subtraction as the inverse of addition and division as the inverse of multiplication.

I.          Demonstrate fluency in multiplication facts with factors through 10 and corresponding divisions.

J.          Estimate the results of whole number computations using a variety of strategies, and judge the reasonableness.

K.       Analyze and solve multi-step problems involving additions, subtractions, multiplication and division using whole numbers.

L.        Use a variety of methods and appropriate tools (mental math, paper and pencil, calculators) for computing with whole numbers.

Number, Number Sense and Operations Standard

C.       Represent commonly used fractions and mixed numbers using words and physical models.

D.       Use models, points of reference and equivalent forms of commonly used fractions to judge the size of fractions and to compare, describe and order them.

Data Analysis & Probability

A.       Gather and organize data from surveys and classroom experiments, including data collected over a period of time.

B.        Read and interpret tables, charts, graphs (bar, picture, line, line plot), and timelines as sources of information, identify main idea, draw conclusions, and make predictions.

D.       Read, interpret and construct graphs in which icons represent more than a single unit or intervals greater than one; e.g., each “bicycle” = 10 bicycles or the intervals on an axis are multiples of 10.

E.        Describe data using mode, median and range.

1.         Identify and generate equivalent forms of fractions and decimals.  For example:

A.       Connect physical, verbal and symbolic representations of fractions, decimals and whole numbers; e.g., ½, 5/10, “five tenths,” 0.5, shaded rectangles with half, and five tenths.

B.        Understand and explain that ten tenths is the same as one whole in both fraction and decimal form.

1.         Identify and generate equivalent forms of fractions and decimals.  For example:

A.     Connect physical, verbal and symbolic representations of fractions, decimals and whole numbers; e.g., ½, 5/10, “five tenths,” 0.5, shaded rectangles with half, and five tenths.

B.     Understand and explain that ten tenths is the same as one whole in both fraction and decimal form.

1.         Identify and generate equivalent forms of fractions and decimals.  For example:

A.       Connect physical, verbal and symbolic representations of fractions, decimals and whole numbers; e.g., ½, 5/10, “five tenths,” 0.5, shaded rectangles with half, and five tenths.

B.        Understand and explain that ten tenths is the same as one whole in both fraction and decimal form.

5.         Use models and points of reference to compare commonly used fractions.

5.         Use models and points of reference to compare commonly used fractions.

10.     Use physical models, visual representations, and paper and pencil to add and subtract decimals and commonly used fractions with like denominators.

10.     Use physical models, visual representations, and paper and pencil to add and subtract decimals and commonly used fractions with like denominators.

9.         Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

9.         Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

1.         Identify, describe and model intersecting, parallel and perpendicular lines and line segments; e.g., use straws or other material to model lines.

2.         Describe, classify, compare and model two-dimensional and three-dimensional objects using their attributes.

3.         Identify similarities and differences of quadrilaterals; e.g., squares, rectangles, parallelograms and trapezoids.

4.         Identify and define triangles based on angle measures (equiangular, right, acute and obtuse triangles) and side lengths (isosceles, equilateral and scalene triangles).

7.         Identify, describe and use reflections (flips), rotations (turns), and translations (slides) in solving geometric problems; e.g., use transformations to determine if 2 shapes are congruent.

6.         Specify locations and plot ordered pairs on a coordinate plane, using first quadrant points.

7.         Identify, describe and use reflections (flips), rotations (turns), and translations (slides) in solving geometric problems; e.g., use transformations to determine if 2 shapes are congruent.

5.         Describe points, lines and planes, and identify models in the environment.  * Need to supplement.

8.         Covered in Measurement Strand.

1.         Relate the number of units to the size of the unit used to measure an object; e.g., compare the number of cups to fill a pitcher to the number of quarts to fill the same pitcher.

2.         Demonstrate and describe perimeter as surrounding and area as covering a two-dimensional shape, and volume as filling a three-dimensional object.

3.         Identify and select appropriate units to measure:

A.       Perimeter – string or links (inches or centimeters)

B.       Area – tiles (square inches or square centimeters;

C.       Volume – cubes (cubic inches or cubic centimeters

4.         Develop and use strategies to find perimeter using string or links, area using tiles or a grid, and volume using cubes; e.g., count squares to find area of regular or irregular shapes on a grid, layer cubes in a box to find its volume.

5.         Make simple unit conversions within a measurement system; e.g., inches to feet, kilograms to grams, quarts to gallons.

6.         Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular prisms.

1.         Collect and organize data from an experiment, such as recording and classifying observations or measurements, in response to a question posed.

2.         Represent and interpret data using tables, bar graphs, line plots and line graphs.

3.         *Supplement Venn Diagrams – interpret and construct to sort and describe data.

4.         Compare different representations of the same data to evaluate how well each representation shows important aspects of the data, and identify appropriate ways to display the data.

5.         Propose and explain interpretations and predictions based on data displayed in tables, charts and graphs.

6.         Describe the characteristics of a set of data based on a graphical representation, such as range of the data, clumps of data, and holes in the data.

7.         Identify the median of a set of data and describe what it indicates about the data.

8.         *Use range and median to make comparisons among related sets of data.

(Supplement * Mode)

1.         Identify and generate equivalent forms of decimals.  For example:

A.       Connect physical, verbal and symbolic representations of fractions, decimals and whole numbers; e.g., ½, 5/10, “five tenths,” 0.5, shaded rectangles with half, and five tenths.

B.        Understand and explain that ten tenths is the same as one whole in both fraction and decimal form.

8.         Solve problems involving counting money and making change, using both coins and paper bills.

9.         Estimate the result of computations involving whole numbers, fractions and decimals, using a variety of strategies.

11.     Develop and explain strategies for performing computations mentally.

12.     Analyze and solve multi-step problems involving addition, subtractions, multiplication and division using an organized approach, and verify and interpret results with respect to the original problem.

13.     Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.

14.     Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten.

4.         Identify and represent factors and multiples of whole numbers through 100, and classify numbers as prime or composite.

7.         Recognize that division might be used to solve different types of problem situations and interpret the meaning of remainders; e.g., situations involving measurement, money.

9.         Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies.

11.     Develop and explain strategies for performing computations mentally.

12.     Analyze and solve multi-step problems involving addition, subtraction, multiplication and division using an organized approach, and verify and interpret results with respect to the original problem.

13.     Use a variety of methods and appropriate tools for computing with whole numbers; e.g., mental math, paper and pencil, and calculator.

14.     Demonstrate fluency in adding and subtracting whole numbers and in multiplying and dividing whole numbers by 1- and 2-digit numbers and multiples of ten.

5.         Use models and points of reference to compare commonly used fractions.

1.         Create a plan for collecting data for a specific purpose.

2.         Represent and interpret data using tables, bar graphs, line plots and line graphs.

4.         Compare different representations of the same data to evaluate how well each representation shows important aspects of the data, and identify appropriate ways to display the data.

5.         Propose and explain interpretations and predictions based on data displayed in tables, charts and graphs.

Task  1A

Task  1B

Task  1C

Task  2A, 2B

Task  3A, 3B

Task  4A, 4B

Task  4A, 4B

Task  5

Task  5

Task 1A, 1B

Task 2A, 2B, 2C, 2D

Task 2A, 2B

Task 2A, 2B, 3A, 3B

Task 1A, 1B, 1C

Tasks 1A, 1B, 1C, 2A, 2B, 3A, 3B

Task 1A

Tasks 4A, 4B

Task 2

Tasks 1B, 2, 3

Tasks 5A, 5B

Tasks 5A, 5B

Tasks 1B, 2, 3, 4A, 4B

Task 1, 2