Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring...

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Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations of number sense and mathematics communication. Systems Discipline Level Concept: Relationships Essential Standard Grade Band K-2: Develop the ability to deal with numbers mentally and to use number sense to reason with numbers in complex ways Performance Indicators Assessment Samples SOL/Blooms Vocabulary All students will: Develop understanding of the relative position and magnitude of whole numbers (including comparing) to at least 2000. Connect cardinal number words and numerals to the quantities they represent, and ordinal number words to the position they represent using various physical models and representations. Use multiple models to develop the understanding that a written number is a representation of units and multiples of hundreds, tens, and ones. Use place value to demonstrate understanding of number relationships based on place value, including comparing and ordering numbers. Understand that numbers can be composed, decomposed, and represented as sums of multiples of units, tens, and hundreds in many different ways (356=3 hundreds, 5 tens, 6 ones or 2 hundreds, 14 tens, Knowledge/Comprehension Level: In the number 123, what digit is in the tens place? Application/Analysis Level: Tell at least two ways the numbers 36 and 63 the same and two ways they are different. Synthesis/Evaluation Level: Have the students represent how to share the pizza equally among 4 people (use pictures, words or numbers). place value digit ones place tens place hundreds place symbols: greater than less than equal to ordinal numbers through twentieth fraction denominator numerator one-half one-third one-fourth one-eighth one-tenth pattern skip counting

Transcript of Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring...

Page 1: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Number and Operations Grade 2

K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations of number sense and

mathematics communication.

Systems Discipline Level Concept: Relationships

Essential Standard Grade Band K-2:

Develop the ability to deal with numbers mentally and to use number sense to reason with numbers in complex ways

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary

All students will:

Develop understanding of the

relative position and

magnitude of whole numbers

(including comparing) to at

least 2000.

Connect cardinal number

words and numerals to the

quantities they represent, and

ordinal number words to the

position they represent using

various physical models and

representations.

Use multiple models to

develop the understanding that

a written number is a

representation of units and

multiples of hundreds, tens,

and ones.

Use place value to demonstrate

understanding of number

relationships based on place

value, including comparing

and ordering numbers.

Understand that numbers can

be composed, decomposed,

and represented as sums of

multiples of units, tens, and

hundreds in many different

ways (356=3 hundreds, 5 tens,

6 ones or 2 hundreds, 14 tens,

Knowledge/Comprehension Level:

In the number 123, what digit is in the tens place?

Application/Analysis Level:

Tell at least two ways the numbers 36 and 63 the same and two ways they are

different.

Synthesis/Evaluation Level:

Have the students represent how to share the pizza equally among 4 people

(use pictures, words or numbers).

place value

digit

ones place

tens place

hundreds place

symbols:

greater than

less than

equal to

ordinal numbers through

twentieth

fraction

denominator

numerator

one-half

one-third

one-fourth

one-eighth

one-tenth

pattern

skip counting

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Number and Operations Grade 2

K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations of number sense and

mathematics communication.

Systems Discipline Level Concept: Relationships

and 16 ones).

Compare unit fractions such

as one-half, one-third, one-

fourth, one-sixth, one-eighth,

and one-tenth.

Understand that rounding gives

a close, easy-to-use number to

use when an exact number is

not needed for the situation.

odd

even

2.1 The student will

a) read, write, and identify the place value of each digit in a three-digit numeral, using numeration models;

b) round two-digit numbers to the nearest ten; and

c) compare two whole numbers between 0 and 999, using symbols (>, <, or =) and words (greater than, less than, or equal

to).

2.2 The student will

a) identify the ordinal positions first through twentieth, using an ordered set of objects; and

b) write the ordinal numbers.

2.3 The student will

a) identify the parts of a set and/or region that represent fractions for halves, thirds, fourths, sixths, eighths, and tenths;

b) write the fractions; and

c) compare the unit fractions for halves, thirds, fourths, sixths, eighths, and tenths.

2.4 The student will

a) count forward by twos, fives, and tens to 100, starting at various multiples of 2, 5, or 10;

b) count backward by tens from 100; and

c) recognize even and odd numbers.

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Number and Operations Grade 2 Mathematics Enduring Understanding 8: Patterns and relationships among operations are essential to making estimates and computing fluently.

Change and Interactions Discipline Level Concept: Patterns

Essential Standard Grade Band K-2: Understand the meaning of, and relationship between addition and subtraction to compute fluently

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand and model single and multi-step

joining and separating situations (word problems) including missing addend, part unknown, and separate unknown, using a variety of models including objects, length based models, and number lines.

Compose and decompose two and three digit numbers using various models (ten frames, base 10 blocks, money).

Understand the basic number combinations for addition and how they are related to subtraction facts.

Understand the magnitude (size) of whole numbers and use this knowledge to estimate quantities that result from joining and separating situations.

Use strategies to recall basic addition and subtraction facts to 20, fluently.

Use estimation strategies including rounding and benchmarking are valuable, time-saving tools particularly in real-life situations when exact answers are not required or needed.

Develop flexible methods of adding and subtracting whole numbers by combining and separating numbers in a variety of ways including strategies based on place value, benchmark numbers, basic fact strategies, and counting on (particularly by tens, on and off the decade).

Knowledge/Comprehension Level: Matt has 8 marbles. His mom gave him 3 more for his birthday.

How many does he have in all? Matt has 11 balloons. His dog popped 3 of them. How many does he have left?

Application/Analysis Level:

Create a fact family using 11 as one number.

Synthesis/Evaluation Level: Explain three strategies you could use to add 5 + 7 (use pictures,

numbers or words).

addition

sum

subtraction

difference

regroup

fact family

turn around fact

related fact

estimate

round (rounding)

SOL:

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Number and Operations Grade 2 Mathematics Enduring Understanding 8: Patterns and relationships among operations are essential to making estimates and computing fluently.

Change and Interactions Discipline Level Concept: Patterns

2.5 The student will recall basic addition facts — i.e., sums to 20 or less — and the corresponding subtraction facts. Supporting SOL: 2.6 The student, given two whole numbers whose sum is 99 or less, will

a) estimate the sum; and b) find the sum, using various methods of calculation.

2.7 The student, given two whole numbers, each of which is 99 or less, will a) estimate the difference; and b) find the difference, using various methods of calculation.

2.8 The student will create and solve one- and two-step addition and subtraction problems, using data from simple tables, picture graphs, and bar graphs.

2.9 The student will recognize and describe the related facts that represent and describe the inverse relationship between addition and subtraction.

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 2: Spatial relationships can be described using coordinate geometry and other representational systems.

Systems Discipline Level Concept: Relationships

Essential Standard Grade Band K-2: Describe, name, and interpret relative positions, directions, and distances in space

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand that direction

and distance can be used in navigating space.

Knowledge/Comprehension Level: Give students a map of the school. Have the students draw the

shortest route for the principal to go to the classroom. Application/Analysis Level: “Tanya the Turtle” (Investigations in Number, Data, and Space, “How

Long, How Far?”) Tanya the Turtle is hungry and tired. She wants to have a snack before going back to her lily pad. She knows where two flies are in the pond. Using the grid below, list the moves Tanya must make to get the two flies and then go back to her lily pad for a rest.

left

right

north

south

east

west

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 2: Spatial relationships can be described using coordinate geometry and other representational systems.

Systems Discipline Level Concept: Relationships

Synthesis/Evaluation Level: “Andy the Ant” (Investigations in Number, Data, and Space, “How

Long, How Far?”)

Supporting Skills and Processes: Using directional vocabulary and working with grids

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 3: Attributes of objects can be measured using processes and quantified units, and using appropriate techniques, tools, and formulas.

Systems Discipline Level Concept: Quantifying Representation

Essential Standard Grade Band K-2: Understanding attributes of measurement by directly comparing objects, and selecting an appropriate unit and tools

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand that objects

can be ordered by measurable attributes, including length, weight/mass, volume, value, time and temperature.

Understand that there are tools that measure specific attributes.

Measure using non-standard and standard units length, liquid volume, weight, temperature, and time (to the nearest 5 minutes).

Select an appropriate unit and tool for the attribute being measured.

Count or compare a collection of coins whose total value is $2.00 or less, using the correct symbols.

Knowledge/Comprehension Level: Ask the student to write $3.49. Look for the correct use of the dollar

sign/decimal. Application/Analysis Level: Calendar Interpretation: Use the calendar to answer the questions:

Five days after March 16 is what day? Three days before March 25 is what day? What will be the date one week from March 30?

cent symbol

dollar symbol

decimal point

greater than

less than

equal to

inch

centimeter

distance

surface

square units

volume

weight

mass

pound

kilogram

quarter hour

analog clock

digital clock

liquid volume

cups

cent symbol

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 3: Attributes of objects can be measured using processes and quantified units, and using appropriate techniques, tools, and formulas.

Systems Discipline Level Concept: Quantifying Representation

Synthesis/Evaluation Level Area and Perimeter Each small square on the gird provided is one square unit.

Create a design that meets these criteria: o (1) covers 12 square units o (2) the distance around the figure is 16 units

dollar symbol

decimal point

greater than

less than

equal to

inch

centimeter

distance

surface

square unit

volume

weight

mass

pound

kilogram

quarter hour

analog clock

digital clock

liquid volume

pint

quart

gallon

liter

equivalent

month

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 3: Attributes of objects can be measured using processes and quantified units, and using appropriate techniques, tools, and formulas.

Systems Discipline Level Concept: Quantifying Representation

today

yesterday

next week

last week

Celsius

Fahrenheit

SOL:

2.10 The student will a) count and compare a collection of pennies, nickels, dimes, and quarters whose total value is $2.00 or less; and b) correctly use the cent symbol (¢), dollar symbol ($), and decimal point (.).

2.11 The student will estimate and measure a) length to the nearest centimeter and inch; b) weight/mass of objects in pounds/ounces and kilograms/grams, using a scale; and c) liquid volume in cups, pints, quarts, gallons, and liters.

2.12 The student will tell and write time to the nearest five minutes, using analog and digital clocks. 2.13 The student will

a) determine past and future days of the week; and b) identify specific days and dates on a given calendar.

2.14 The student will read the temperature on a Celsius and/or Fahrenheit thermometer to the nearest 10 degrees.

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 11: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships

Communication Discipline Level Concept: Reasoning and Justification

Essential Standard Grade Band K-2: Represent and compare 2- and 3- dimensional shapes through drawings, block construction, dramatizations, and words

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Recognize, name, build,

draw, compare, and sort 2D and 3D shapes.

Describe attributes and parts of 2D and 3D shapes.

Investigate and predict the results of putting together and taking apart 2D and 3D shapes.

Knowledge/Comprehension Level:

Tell students to number 1 – 3 on a piece of paper. Ask the students to find an example of a cylinder, a sphere, and a cube in the classroom, and draw and/or label what they found.

Application/Analysis Level:

Give students solid figures and ask them to sort them into groups. Have students explain their rationalization.

Synthesis/Evaluation Level:

Give students “Making a Shed” (below) Ask the students to make a replication of the shed using solid figures. The Students need to explain why their model matches the 2-dimensional version using geometric language.

solid

rectangular solid

square pyramid

sphere

cylinder

cone

face

base

edge

corner

plane figure

two-dimensional

three-dimensional

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 11: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships

Communication Discipline Level Concept: Reasoning and Justification

Page 12: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 11: Analyze characteristics and properties of 2- and 3-dimensional geometric shapes and develop mathematical arguments about geometric relationships

Communication Discipline Level Concept: Reasoning and Justification

SOL: 2.16 The student will identify, describe, compare, and contrast plane and solid geometric figures (circle/sphere, square/cube, and rectangle/rectangular prism).

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Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 12: Transformations, symmetry, and spatial reasoning can be used to analyze and model mathematical situations.

Communication Discipline Level Concept: Reasoning and Justification

Essential Standard Grade Band K-2: Develop an understanding of transformations and symmetry with shapes

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Recognize, name, build,

draw, compare, and sort 2D and 3D shapes.

Knowledge/Comprehension Level:

Draw the lines of symmetry for each shape or letter.

Application/Analysis Level: Look at the cutout in the drawing Draw a picture of what the paper will look like when it is unfolded.

line of symmetry

vertical

horizontal

diagonal

Page 14: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Geometry and Measurement Strand Grade 2 Mathematics Enduring Understanding 12: Transformations, symmetry, and spatial reasoning can be used to analyze and model mathematical situations.

Communication Discipline Level Concept: Reasoning and Justification

Synthesis/Evaluation Level: Challenge the students to make a shape on a geoboard that has

rotational symmetry, that is, a design that will look the same when it is rotated a quarter or half turn.

SOL: 2.15 The student will a) draw a line of symmetry in a figure; and b) identify and create figures with at least one line of symmetry.

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Data Analysis and Probability Grade 2 Mathematics Enduring Understanding 5: Mathematical models are used to predict and make inferences about data.

Properties and Models Discipline Level Concept: Models

Essential Standard Grade Band K-2: Discuss events related to student experiences by conducting surveys and reading graphs of student information

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand that they can

gather data about themselves and their surrounding in order to answer questions.

Understand that the data gathered and analyzed from observations and surveys can have an impact on our everyday lives.

Understand and construct picture graphs, object graphs, and bar graphs to represent data and answer questions.

Understand that interpretation of the data could lead to additional questions to be investigated.

Knowledge/Comprehension level Show students a weather graphs for the months of February, April, May, August, and December. Ask questions about the number of sunny days comparing one month to another.

Number of Sunny Days

0

5

10

15

20

25

February April May August DecemberMonth

Nu

mb

er o

f S

un

ny

Day

s

Number of Sunny Days

Application /Analysis level Students will collect temperature data for a month, and then display the data in a graph. Synthesis/Analysis level Students will make an observation about their data, and write a letter to next year’s second graders informing them what clothing they should have

more less fewer greater than less than equal to picture graphs bar graphs data compare

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Data Analysis and Probability Grade 2 Mathematics Enduring Understanding 5: Mathematical models are used to predict and make inferences about data.

Properties and Models Discipline Level Concept: Models

prepared for that month.

Supporting SOL 2.19 The student will analyze data displayed in picture graphs, pictographs, and bar graphs.

Page 17: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Data Analysis and Probability Strand Grade 2 Mathematics Enduring Understanding 6: Data can be collected, organized, and displayed in purposeful ways.

Properties and Models Discipline Level Concept: Analysis and Evaluation

Essential Standard Grade Band K-2: Pose questions, gather, and use various methods to represent data about themselves and their surroundings

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand and construct picture

graphs, object graphs, and bar graphs to represent data and answer questions.

Use the following activity for the assessments: Vary, Vary Interesting Things (Exploring Statistics in the

Elementary Grades, Dale Seymour) Fill bundles or containers with a wide variety of materials, such as wallpaper samples, buttons, fabric swatches, alphabet letters, attribute blocks, catalog pictures of tools, jewelry, or hats (one bundle per group of 3 or 4 students). It is always interesting to see how other people organize things. You will be working in small groups and analyzing materials in a bag or bundle.

Knowledge/Comprehension level

1. What is in your bag (or bundle)? 2. How can these materials be sorted? 3. Choose one sorting factor (attribute) to sort your bundle.

Application /Analysis level

1. Using the attribute chosen, organize the objects in your bundle

2. Use the objects in your sort to create a physical graph

graph construct collect organize display bar graph picture graph data attribute sort

Page 18: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Data Analysis and Probability Strand Grade 2 Mathematics Enduring Understanding 6: Data can be collected, organized, and displayed in purposeful ways.

Properties and Models Discipline Level Concept: Analysis and Evaluation

Synthesis/Evaluation level: Ages of Students graph (Navigating through Data K-2,

NCTM) Use the following graph about students to answer the questions:

1. What is the title of the graph? 2. What are the possible ages? 3. How many more people are 7 years old than the people

who are 6 years old? 4. Are more people older or younger than 7?

SOL2.17 The student will use data from experiments to construct picture graphs, pictographs, and bar graphs. 2.18 The student will use data from experiments to predict outcomes when the experiment is repeated. 2.19 The student will analyze data displayed in picture graphs, pictographs, and bar graphs.

Page 19: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Data Analysis and Probability Strand Grade 2 Mathematics Enduring Understanding 6: Data can be collected, organized, and displayed in purposeful ways.

Properties and Models Discipline Level Concept: Analysis and Evaluation

Page 20: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Data Analysis and Probability Grade 2 Mathematics Enduring Understanding 7: Various statistical methods can be used to observe, analyze, predict, and make inferences about data.

Properties and Models Discipline Level Concept; Analysis and Evaluation

Essential Standard Grade Band K-2: Describe parts of the data and a set of data to determine what the data show

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Analyze and interpret data to

make inferences such as comparing the frequency of events (most, least, more, fewer).

Understand there is a difference between numerical and categorical data.

Understand that the data gathered and analyzed from observations and surveys can have an impact on our everyday lives.

Knowledge/Comprehension level Show students a weather graphs for the months of February, April, May, August, and December. Ask questions about the number of sunny days comparing one month to another.

Number of Sunny Days

0

5

10

15

20

25

February April May August DecemberMonth

Nu

mb

er o

f S

un

ny

Day

s

Number of Sunny Days

Application /Analysis level Students will collect temperature data for a month, and then display the data in a graph. Synthesis/Analysis level Students will make an observation about their data, and write a letter to next year’s second graders informing them what clothing they should have prepared for that month.

data objects representation graph column row survey picture graph bar graph compare table collect observation

Page 21: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Data Analysis and Probability Grade 2 Mathematics Enduring Understanding 7: Various statistical methods can be used to observe, analyze, predict, and make inferences about data.

Properties and Models Discipline Level Concept; Analysis and Evaluation

Supporting SOL 2.19 The student will analyze data displayed in picture graphs, pictographs, and bar graphs.

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Data Analysis and Probability Grade 2 Mathematics Enduring Understanding 13: Probability and data analysis can be used to make predictions.

Communication Discipline Level Concept: Theory

Essential Standard Grade Band K-2: Discuss events as likely or unlikely

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand that the

likelihood of an event occurring is to determine the probability of it happening.

Understand that the

concept of probability is based on chance and how it affects the outcome of an event.

Knowledge/Comprehension level Have students describe the following situations about rolling a die, using the words certain, impossible, and likely. *Rolling a 7. *Rolling a number greater than 2. *Rolling a number 1-6. Application /Analysis level Roll the die 100 times. Record your results. Answer the following questions: *What number was rolled the most? How many times? *What number was rolled the least? How many times? Synthesis/Analysis level If you flipped a two-colored counter ten times, how many times would you expect it to be red? Explain your answer.

probability likelihood event experiment spinner chance outcome simple event impossible certain

SOL: 2.18 The student will use data from experiments to predict outcomes when the experiment is repeated.

Page 23: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Data Analysis and Probability Grade 2 Mathematics Enduring Understanding 13: Probability and data analysis can be used to make predictions.

Communication Discipline Level Concept: Theory

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Patterns and Algebra Grade 2 Mathematics Enduring Understanding 4: Situations and structures can be represented, modeled and analyzed using algebraic symbols.

Properties and Models Discipline Level Concept: Models

Essential Standard Grade Band K-2: Illustrate and model general principles and properties of operations

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Model single and multi-

step joining and separating situations (word problems) including missing addend, part unknown, and separate unknown, using a variety of models including objects, length based models, and number lines.

Knowledge/Comprehension Level: Write a number sentence for the following situation: Jack had 16 marbles. He

lost 10 of them, but then found two of the lost ones. How many marbles does he end up with?

Application/Analysis Level: Magic Number Machine

Rule In Out 4 8 8 12 12 16

Explain the rule. Synthesis/Evaluation Level: In the following missing number sentence, there is a pattern developing. Write

the next two missing number sentences which would continue the pattern, and explain how each missing number is related to the missing number before it:

48-______=30 49-______=30 50-______=30 51-______=30 52-______=30

Addend

Addition

Subtraction

Number sentence

Story problem

Solve

Fact families

Missing addend

Equation

SOL: 2.21 The student will solve problems by completing a numerical sentence involving the basic facts for addition and subtraction. Examples include: 3 + __ = 7, or 9 – __ = 2. Students will create story problems, using the numerical sentences.

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Patterns and Algebra Grade 2 Mathematics Enduring Understanding 4: Situations and structures can be represented, modeled and analyzed using algebraic symbols.

Properties and Models Discipline Level Concept: Models

Supporting SOL: SOL 2.9 The student will recognize and describe the related facts that represent and describe the inverse relationship between addition and subtraction.

Page 26: Number and Operations Grade 2 K-12 Enduring … · Number and Operations Grade 2 K-12 Enduring Understanding 1: Relationships among numbers and number systems form the foundations

Patterns and Algebra Strand Grade 2 Mathematics Enduring Understanding 9: Patterns, relations, and functions can be recognized and understood mathematically.

Change and Interactions Discipline Level Concept: Pattern

Essential Standard Grade Band K-2: Recognize, describe , and extend patterns; and sort and classify objects

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Understand that the

same set of objects can be sorted and classified in different ways.

Identify, describe, extend, and create repeating and growing numeric patterns and sequential patterns to build foundations for understanding multiples and factors.

Knowledge/Comprehension Level: Look at the pattern of shapes below. Identify the basic unit of the pattern by drawing

a circle around the basic unit. If the pattern continues in the same way, draw the next two shapes.

? ? Application/Analysis Level: Tile Pattern: Set up a tile pattern like the following: red, blue, red, blue, blue, red, blue, blue, blue. Ask students to continue the pattern until they reach six blue tiles. Synthesis/Evaluation Level: Cost of Balloons Number of balloons 1 2 3 4 5 6 7 Cost of Balloons in Cents 20 40 60 80 ? ? ?

Complete the function box by filling in the missing values. Create a new function box by changing the value of cost of each balloon to 25 cents (for example 1 balloon – 25 cents; 2 balloons- 50 cents.)

Pattern

Basic unit of a pattern

Repeating pattern

Growing pattern

Describe

Extend

Analyze

SOL: 2.20The student will identify, create, and extend a wide variety of patterns.

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Patterns and Algebra Grade 2 Mathematics Enduring Understanding 10: Change, in various contexts, both quantitative and qualitative, can be identified and analyzed.

Change and Interactions Discipline Level Concept: Cause and Effect

Essential Standard Grade Band K-2: Describe change both quantitatively and qualitatively

Performance Indicators Assessment Samples – SOL/Blooms Vocabulary All students will: Identify, describe,

extend, and create repeating and growing numeric patterns and sequential patterns to build foundations for understanding multiples and factors.

Describe patterns in skip counting and use those patterns to predict the next number or numbers in the skip counting sequence (forward and backward).

Understand that collections of objects can be grouped and skip counting can be used to count the collection.

Knowledge/Comprehension Level: Continue the pattern 32, 34, 36 ,___, ____,____ Application/Analysis Level: Extend the pattern 60, 50, 40, _____, ____,____ Synthesis/Evaluation Level: Say, “If you walked by a classroom and heard the children say 6, 9, 12, what do you think you would hear next?”

Pattern

Skip counting

Calculator

Odd

Even

SOL: 2.4 The student will

a) count forward by twos, fives, and tens to 100, starting at various multiples of 2, 5, or 10; b) count backward by tens from 100; and c) recognize even and odd number

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Patterns and Algebra Grade 2 Mathematics Enduring Understanding 10: Change, in various contexts, both quantitative and qualitative, can be identified and analyzed.

Change and Interactions Discipline Level Concept: Cause and Effect