set 3 goals for this school year write 2 actions that will assist you in meeting your goals write 1...

Math2nd Grade

Resources and Building Content Knowledge

Education Transformation Office

3-2-1

Set 3 Goals for this school year

Write 2 actions that will assist you in

meeting your goals

Write 1 challenge that you

may Encounter

Common Board Configuration (CBC)

Exit Slip:

•Revisit Essential Question

AGENDA:

I Do:•Review focus group materials

We Do:•Math Content Training For Topic 1, 2, and 3

They Do:•Map out how you’re going to teach the beginning of the year concepts.You Do:•Processing Time: Answer the essential question•Homework Instruction

Vocabulary: Pacing guide, Skill Sheets, Journal Entries , Common Core

ESSENTIAL QUESTION: How can exploring the math content and resources help me to be an effective teacher?

Objective: Today we will explore the math content, review the resources now available and share best practices to teach the content effectively.

BENCHMARK: Math Resources and Content.

BELL RINGER:

DATE: July 30, 2012

Introductions: 3 – 2 - 1 Activity

Essential Question:

How can exploring the math content and resources help me to be an effective teacher?

What’s New and Continuing with ETO Elementary Math?

2013-2014 School Year

The ETO Website will Continue to Provide Each Grade Level with the

Following:

Pacing Guide with Lesson breakdown Grade Level Skills Sheets SAT-10 Dailies Calendar Math Suggestions

Pacing Guides will Continue to Have a Day to Day Breakdown!

What is NEW????

• GO MATH will now consist of all COMMON CORE

• You will not have to print additional On Core Lessons on the Thinkcentral website.

• New Dashboard for ThinkCentral

GO MATH 2nd Grade “Old vs. New”

GO MATH

Go Math textbooks are all correlated to Common Core.

Schools will receive updated Common Core Teacher’s Editions

GO MATH Technology Correlations

Journal Entries

Skills Sheets

Student Skills Sheets

S.A.T Dailies Redone by Standard The same benchmark all week Easier to use

Calendar Math Calendar Math is a time when students do

the same routine every day in order to work on basic math skills

Many SAT-10 skills can be taught through Calendar Math

Sample Calendar Math Ideas: › 100 Days of School Countdown/ Count up› Calendar› Place Value Chart› Time› Money› Graphing

Calendar Math

Let’s Explore Common Core

Common Core Required Fluency The content standards have three levels of organization. The standards define what students should understand and be able to do. These standards are organized into clusters of related standards to emphasize mathematical connections. Finally, domains represent larger groups of related standards.

DIGGING DEEPER INTO THE MATH CONTENT 2nd Grade

TOPIC I: Numbers Concepts, Place Value, and Counting Patterns

New Edition Common Core TextbookMACC.2.NBT.1.2; MACC.2.NBT.1.3;MACC.2.OA.3.3

“The Standards for Mathematical Practice are unique in that they describe how teachers need to teach to ensure their students become mathematically proficient. We were purposeful in calling them standards because then they won’t be ignored.”

~ Bill McCallum

Standards for Mathematical Practices

Mathematical Practices

1. Make sense of problems and persevere in solving them

2. Reason abstractly and quantitatively

3. Construct viable arguments and critique the reasoning of others

4. Model with mathematics

5. Use appropriate tools strategically

6. Attend to precision

7. Look for and make use of structure

8. Look for and express regularity in repeated reasoning

Topic IMathematical Practices

MP 3:Construct viable arguments and critique the reasoning of others

Mathematically proficient students can…

make a mathematical statement (conjecture) and justify it

listen, compare, and critique conjectures and statements

Topic IMathematical Practices

MP 7 : Look for and make use of structureMathematically proficient students can…

look closely to determine possible patterns and structure (properties) within a problem

analyze patterns and apply them in appropriate mathematical context

Essential ContentA. Developing Understanding of Place Value and the Numeration System of Numbers to 99:

1. Naming numbers in verbal and written form2. Representing numbers using concrete models 3. Writing numbers

a. expanded formb. standard formc. word form

B. Developing an Understanding of Odd and Even Numbers:

1. Verbally naming and writing odd/even numbers up to 992. Representing a. concrete models b. pictorial models3. Identifying odd and even numbers in a group4. Explaining why a number is odd/even

C. Developing an Understanding of Problem Solving Involving:

1. Counting forward and backward by 10s2. Skip counting 3. Using logical reasoning to solve problems

Professional Development Podcast

Let’s Watch one together!

•Found on Thinkcentral.com Under Resources• Segment 2

PD Podcast

How did you see the practice being implemented

How would this look in 2nd Grade? What are some benefits by viewing the

Podcasts?

What Must Students Be Able to Do?

During the first 3 topics you will be teaching place value starting with the › Ones and tens for Topic 1› Ones, Tens, and Hundreds for Topic 2› Ones, Tens, Hundreds, and Thousands for

Topic 3

What Must Students Be Able to Do in Topic 1 ?

Classify numbers up to 20 as even or odd Write equations with equal addends to

represent even numbers (e.g. 10=5+5). Use place value to describe the values of

digits in 2-digit numbers. Read and write two digit numbers using

expanded form, word form, and standard form.

Identify the position of a digit in a two-digit number and name its value

Common Core Standards Topic 1

How Will the Students Be Assessed…What Will it Look Like?

Review Teaching for Depth at the Beginning of Each Chapter

About the Math…Before Each Lesson On the Teacher Pages

It also gives you strategies to teach the content in the lesson.

Strategies for Topic 1:Use a Ten Frame For Even & Odd

Have the students make circles around two counters. If there are no counters left, the number is

EVEN.

If there is one counter left alone, it is

ODD.

Strategies for Topic 1:Connecting Cubes For Even & Odd

MANIPULATIVES, MANIPULATIVES, MANIPULATIVES!

Apply place value concepts to find equivalent representations of numbers.

Apply place-value concepts to write 2-digit numbers that are represented by pictorial models.

Solve problems by finding different combinations of tens and ones to represent 2-digit numbers using the strategy find a pattern.

Extend counting sequences within 100, counting by 1’s, 5’s, and 10’s.

Extend counting sequences within 1,000, counting by 1’s, 5’s, 10’s, and 100’s.

Strategies for Topic 1:Base-ten Blocks For Place Value

5 2

Strategies for Topic 1:VOCABULARY

ALWAYS teach vocabulary and USE IT during your instruction.

Students also should be using this vocabulary in their verbal explanations and writing.

Place vocabulary on a Math Word Wall, so students can refer to it for the spelling.

28 = twenty-eight, 100 = hundred, 68= sixty-eight, 1,000 = thousand

Strategies for Topic 1:Use a Hundred Chart For Patterns

Strategies for Topic 1:Use a Hundred Chart For Patterns

Students will be required to count by1s, 5, 10s, and 100s up to 1000.

Be sure to use charts that go up to1000.

End of the Topic Group Activity Collaborative Strategy- Numbered Heads1. Each individual will receive a popsicle stick with a number.2. Everyone with the same number will group as a pair to work on an a computation problem and a word problem.3. At this time choose who will be the:

A. TeacherB. Student

4. Teachers please explicitly teach the concept and incorporate the following in your lesson:

A. Problem Solving StrategyB. Address Common Errors

84 8 4 84 80 4


TOPIC II: Number Sense in Place Value and Number Patterns with 3-Digit Numbers

New Edition Common Core TextbookMACC.2.NBT.1.1a; MACC.2.NBT.1.1b; MACC.2.NBT.1.3; MACC.2.NBT.1.4;MACC.2.NBT.2.8

Topic IIMathematical Practices

MP 7 : Look for and make use of structureMathematically proficient students can…

look closely to determine possible patterns and structure (properties) within a problem

analyze patterns and apply them in appropriate mathematical context

Topic IIMathematical Practices

MP 8 : Look for and express regularity in repeated reasoning


notice repeating calculations and look for efficient methods/ representations to solve a problem

evaluate the reasonableness of their results throughout the problem solving process.

Topic II Essential Content

A. Developing Understanding of Place Value and the Numeration System of Numbers to 1000:1. Naming numbers in verbal and written

form2. Representing numbers using concrete

models 3. Writing numbers

a. expanded formb. standard formc. word form

4. Identifying how tens are grouped as hundreds a. 100 can be thought of as a bundle

of ten tens- called a ‘hundred” b. The numbers 100, 200, 300, 500,

600, 700, 800, 900, refer to one , two , three, four, five , six, seven, eight, or nine hundred ( and 0 tens and 0 ones)

B. Developing an Understanding of Problem Solving Involving Number Patterns:1. Counting forward and backward

by 10s and 100s2. Using a variety of units to skip

count Using logical reasoning to solve

problems.

What Must Students Be Able to Do in Topic II ?

Understand that 10 rods (tens) are equivalent to 1 hundred (flat).

Write 3-digit numbers that are represented by groups of tens.

Use concrete and pictorial models to represent 3-digit numbers.

Apply place value concepts to write 3-digit numbers represented by pictorial models.

Use place value to describe the value of digits in numbers to 1,000.

What Must Students Be Able to Do in Topic II ?

Read and write 3-digit numbers in word form (number name), expanded form and standard form.

Identify 10 more, 10 less, 100 more, or 100 less than any given number.

Compare three-digit numbers using the symbols (>, <, and =).

Apply place value concepts to find equivalent representation of numbers.

Extend number patterns by counting on by tens or hundreds.

Solve problems involving number comparisons by using the strategy make a model.

Common Core Standards Topic II

What are good strategies ?

Use Base ten blocks for concrete understanding

Place Value Chart

Strategies for Topic II:Base-ten Blocks to Make Hundreds

Place Value –Writing Numbers

Place Value-CC.M.2.NBT.1• MACC.2.NBT.1.3

Read and write numbers to 1000 using base-ten numerals,

number names, and expanded form.

Strategies for Topic II:Place Value

Move from concrete to pictorial. Show the students how to QUICKLY

draw the base-ten blocks.

= 256

Strategies for Topic II:Place Value

Correlate using expanded form, base-ten blocks and a place value chart together.

Strategies for Topic II:Use Place Value Charts

Always have students draw the place value chart

When writing in expanded form, add the zeros after the place value

Strategies for Topic II:Using Place Value to Count On and Count

Back Cross out to count

back

Draw more to add on


TOPIC III: Addition and Subtraction; Facts and Relationships

New Edition Common Core TextbookMACC.2.OA.1.1; MACC.2.OA.2.2;MACC.2.OA.3.4

Topic IIIMathematical Practices

MP 3:Construct viable arguments and critique the reasoning of others


make a mathematical statement (conjecture) and justify it

listen, compare, and critique conjectures and statements

Topic IIIMathematical Practices

MP 8 : Look for and express regularity in repeated reasoning


notice repeating calculations and look for efficient methods/ representations to solve a problem

evaluate the reasonableness of their results throughout the problem solving process.

Topic III Essential Content

A. Fluency with Basic Addition and Subtraction facts Using Numbers Within Twenty

1. Reviewing subtracting basic facts2. Fact family (order property) 3. Identifying missing addends in addition and subtraction

B. Solving problems that Involve Repeated Addition

1. Modeling equal groups and use repeated addition sentences to find how many in all2. Providing real-world situations and have students find a pattern to solve problems and explain reasoning (ex. 6 students = how many pairs of shoes? Why?

What Must Students Be Able to Do in Topic III ?

Use doubles facts as a strategy for finding sums for near double facts.

Recall sums for basic facts using properties and strategies.

Recall sums for addition facts using make a ten strategy.

Find sums of three addends by applying the Commutative and Associative Properties of Addition.

Use the inverse relationship of addition and subtraction to recall basic facts.

What Must Students Be Able to Do in Topic III ?

Recall differences for basic facts using mental strategies.

Find differences on a number line to develop the mental strategy of decomposing to simplify facts.

Use bar models to represent a variety of addition and subtraction situations.

Write equations to represent and solve a variety of addition and subtraction situations.

Solve problems involving equal groups using the strategy act it out.

Write equations using repeated addition to find the total number of objects in arrays.

Common Core Standards Topic III

What does it look like for Topic III?

Strategies for Topic III:Make a Ten

Break apart to make a ten

Strategies for Topic III:Use a Bar Model to Show Subtraction

This begins to show students the inverse operation and fact families.

Strategies for Topic III: Use a Number Line to Show Subtraction

Strategies for Topic III: Use Ten to Subtract

The number lineends at 17.

Circle the numbers from 10 to the end of the number line.

The equation will start with the number where the blue line ends ( 17). Count how many numbers from that number to ten ( 7). 17 -10 = 7 or 17 – 7 = 10

Strategies for Topic III: Use Ten to Subtract

Teach the students

to break apart the subtrahend ( the second or bottom number) into a compatible number

that can be subtracted to make

10.

Strategies for Topic III: Use Bar Models

Use Bar Model Example

????

Strategies for Topic III: Use Arrays or Equal Groups to Show

Repeated Addition

Essential Question:

How can exploring the math content and resources help me to be a more effective teacher?

QUESTIONS/CONCERNS

ETO Elementary Collaboration Website

Build, Sustain, Accelerate

You can find this presentation in addition to all curricular resources on our very own ETO Collaboration WebsitePlease visit us at:

http://www.eto.dadeschools.net

http://www.eto.dadeschools.net/

http://www.eto.dadeschools.net/

set 3 goals for this school year write 2 actions that will assist you in meeting your goals write 1...

Documents

thinkcentral slide

activity slide

repeated reasoning slide

math resources

content standards

math content training

math textbooks

basic math skills