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Louisiana<br />

<strong>Parent</strong> <strong>Resource</strong><br />

<strong>Grades</strong>


Where U.S. Students Rank Globally<br />

The United <strong>State</strong>s Ranks:<br />

• 17 th In Reading Literacy<br />

• 21 st In Science<br />

• 26 th In <strong>Math</strong><br />

U.S. Chamber of Commerce Foundation 2014<br />

17 TH 21 ST 26 TH<br />

IN READING<br />

LITERACY<br />

IN SCIENCE<br />

IN MATH<br />

Based on 2013 International PISA results


Louisiana<br />

<strong>Parent</strong> <strong>Resource</strong><br />

<strong>Grades</strong> K – 2<br />

www.cdl.org<br />

Special thanks to the following partners:


| # |<br />

Center for Development and Learning


Introduction<br />

This guide provides an overview of what your child will learn by the end<br />

of kindergarten, 1st, and 2nd grade in <strong>Math</strong>. It focuses on key skills<br />

that will build a strong basis for success in college, the workplace,<br />

and everyday life. These K-12 standards were informed by Louisiana<br />

teachers, university professors, and other education experts. If your son<br />

or daughter is meeting the expectations outlined in these standards, he or<br />

she will be well prepared for the next grade.<br />

Why are high academic standards important?<br />

All parents want their children to be able to pursue their dreams –<br />

whatever they may be. A great education starts with high standards. A<br />

high level of academic rigor in our academic standards is necessary to<br />

ensure that students are learning up-to-date content that is important for<br />

their futures. Understanding what those standards are will help parents to<br />

ensure their children are receiving the best education possible.<br />

Of course, high standards are not the only things needed for children’s<br />

success, but they provide an important<br />

first step — a clear, consistent roadmap<br />

for learning. They also help your child<br />

develop real-world critical thinking skills<br />

needed for college and the workforce.<br />

How can I help my child?<br />

You should use this guide in two main<br />

ways: (1) as a tool to help students at<br />

home, and (2) as a resource to help<br />

build a relationship with teachers.<br />

This Guide Includes:<br />

• An overview of some<br />

of the key things your<br />

child should be learning<br />

in <strong>Math</strong> from kindergarten<br />

through 2nd grade<br />

• Ideas to help your child<br />

learn at home<br />

Talk to teachers regularly about how your<br />

son or daughter is doing so that you can<br />

work together to address any issues.<br />

<strong>Parent</strong>s are children’s first teachers.<br />

At home, you can play a big part in<br />

setting high expectations and supporting<br />

students in meeting them.<br />

• Topics of discussion for<br />

talking to your child’s<br />

teacher about his or her<br />

academic progress<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 3 |


About the CDL<br />

Founded in 1992, the Center for Development<br />

and Learning (CDL) is a results-driven Louisianabased<br />

501(c)(3) nonprofit organization. CDL’s<br />

programs and services fall into three major<br />

areas: (1) evidence-based professional learning<br />

for educators; (2) direct services to students; and<br />

(3) public engagement of stakeholders at all<br />

levels. We aim to increase student learning.<br />

CDL specializes in providing educators with<br />

professional learning that is specific and relevant<br />

to the needs of teachers and their students. We<br />

have particular expertise in effective leadership<br />

practices, evidence-based teaching strategies<br />

and tactics, early childhood best practices,<br />

literacy, and learning differences.<br />

With an on-the-ground, in-the-trenches approach,<br />

we tackle real-time issues such as ways to<br />

remediate struggling readers and writers,<br />

differentiating instruction, structuring collaborative<br />

classroom environments, building leadership<br />

capacity, and developing and sustaining<br />

collective capacity.<br />

© 2015 The Center for Development and Learning<br />

Editor: Keisha Dubuclet<br />

Graphic Designer: Lauren Richardson<br />

| 4 |<br />

Center for Development and Learning


Table of Contents<br />

Common Questions about Louisiana <strong>State</strong> <strong>Standards</strong> . . . . . . . . . . . . . 6<br />

Overview of <strong>Math</strong> <strong>Standards</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10<br />

<strong>Standards</strong> for <strong>Math</strong>ematical Practice . . . . . . . . . . . . . . . . . . . . . . . . . . 12<br />

<strong>Standards</strong> for <strong>Math</strong>ematical Content . . . . . . . . . . . . . . . . . . . . . . . . . . 17<br />

Kindergarten . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18<br />

First Grade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20<br />

Second Grade . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22<br />

Problem Solving in <strong>Math</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25<br />

Kindergarten Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26<br />

First Grade Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30<br />

Second Grade Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

Special Education . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38<br />

How to Support your Child . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2<br />

| 5 |


Common Questions about<br />

Louisiana <strong>State</strong> <strong>Standards</strong><br />

Q:<br />

A:<br />

What are the Louisiana <strong>State</strong> <strong>Standards</strong>?<br />

The Louisiana <strong>State</strong> <strong>Standards</strong> are learning goals that are<br />

designed to prepare our students for college and career<br />

success. <strong>Standards</strong> are not the same as a curriculum.<br />

Teachers can still decide how to get kids to the goal.<br />

Q:<br />

A:<br />

Why do we need rigorous standards?<br />

Louisiana is 3rd from the bottom in education <strong>com</strong>pared to the<br />

rest of the country. More rigorous standards will help give all<br />

Louisiana students a higher quality education so they can be<br />

successful in today’s economy.<br />

Q:<br />

A:<br />

Who developed the standards?<br />

Louisiana has always had standards. <strong>State</strong> law requires<br />

a review of academic standards every seven years. In<br />

2010, higher standards were adopted to ensure Louisiana<br />

students could <strong>com</strong>pete with those from other states. The<br />

standards are informed by Louisiana teachers, university<br />

professors, and independent education experts. <strong>Parent</strong>s,<br />

business leaders, and other stakeholders have the<br />

opportunity to provide feedback.<br />

| 6 |<br />

Center for Development and Learning


Q: How will high standards<br />

From Failing to<br />

affect student grades<br />

Fantastic: Winning the<br />

and school performance<br />

Education Game<br />

scores (SPS)?<br />

A:<br />

Some are concerned that<br />

school test scores and letter<br />

grades will drop. A drop in<br />

scores is expected at first<br />

because previous standards<br />

were not accurate indicators of<br />

college and career-readiness.<br />

<strong>State</strong> changes to school and<br />

teacher evaluations have been<br />

made that will give students<br />

and schools time to adjust.<br />

In football, the<br />

goal is to get<br />

a touchdown;<br />

it’s up to the<br />

coach to<br />

choose plays<br />

that will get<br />

the ball in the<br />

end zone.<br />

<strong>Standards</strong> set the goal; it’s up to<br />

the teacher to choose plays to<br />

help kids win.<br />

Q:<br />

A:<br />

How will higher standards affect me as a parent?<br />

As a parent, you may notice your child’s classwork and<br />

homework be<strong>com</strong>ing harder. You may also see a slight drop<br />

in grades. While it may be un<strong>com</strong>fortable and scary, this is<br />

normal because schoolwork and tests are more challenging.<br />

Keep in mind that now your kids are getting the high quality<br />

education they deserve but weren’t getting before.<br />

Q:<br />

A:<br />

How will higher standards affect students?<br />

Having high standards will require students to learn and apply<br />

more demanding concepts and procedures, resulting in deeper<br />

levels of understanding. Rather than simply memorizing,<br />

students will critically think through information and apply what<br />

they learn to solve real-world problems and situations.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 7 |


Q:<br />

A:<br />

What do the <strong>Standards</strong> mean for students with<br />

disabilities and English Language Learners?<br />

Because all children deserve a high quality education, there<br />

are no separate or different standards for children with<br />

special needs. However, the law requires that students with<br />

disabilities be provided a range of supports for classroom<br />

learning and testing. More information and resources are<br />

included in this book.<br />

Q:<br />

A:<br />

Will students still take the LEAP test?<br />

Students in grades 3-11 will take a more rigorous test for E<strong>LA</strong><br />

and <strong>Math</strong>, with questions aligned to the higher standards.<br />

The LEAP will still be given for Social Studies and Science.<br />

Students in the 12th grade will take the ACT.<br />

Compared to other states in the<br />

country, Louisiana ranks 2nd from<br />

the bottom in <strong>Math</strong>. Only<br />

Mississippi is lower than<br />

Louisiana.<br />

– The National Assessment of<br />

Educational Progress, 2013<br />

| 8 |<br />

Center for Development and Learning


Why Now?<br />

• Student mobility,<br />

military families<br />

• Too many different<br />

standards across<br />

states<br />

• Global <strong>com</strong>petition<br />

• Today’s jobs require<br />

different skills<br />

Q:<br />

A:<br />

What do the Louisiana<br />

<strong>State</strong> <strong>Standards</strong> look<br />

like in the classroom?<br />

The standards are not<br />

curriculum. Schools and<br />

teachers will still make<br />

decisions about how to<br />

teach their students and<br />

meet their needs.<br />

Q:<br />

A:<br />

What are the benefits of high standards?<br />

High standards will help to ensure that all students, no matter<br />

where they live, are prepared for success in college and<br />

the workforce. High standards also make sure your child<br />

can <strong>com</strong>pete with other students if you decide to move to<br />

another city or state. Our students will learn more real-world<br />

knowledge and think more critically, so that we in Louisiana<br />

will be able to <strong>com</strong>pete successfully in the 21st century,<br />

allowing our economy to remain strong.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2<br />

| 9 |


Overview of <strong>Math</strong> <strong>Standards</strong><br />

The way students have been taught math in the past simply does not<br />

prepare them to <strong>com</strong>pete with their peers from other states and nations.<br />

It’s not enough to simply memorize multiplication tables - students need<br />

to understand and explain how and why 2 x 2 = 4.<br />

It’s not enough to just calculate numbers - students need to be able to<br />

connect mathematical concepts and apply those concepts to practical,<br />

real-world situations.<br />

Students need to be able to solve problems through reasoning, explain<br />

and show proof of their reasoning, and apply math concepts to practical<br />

situations, such as determining a sale price, planning a road trip, following<br />

a recipe, making a budget, decorating a house, or even watching a<br />

football game.<br />

The purpose of the <strong>Standards</strong> is to help students develop a mathematical<br />

mindset, see math in the world around them, and be<strong>com</strong>e<br />

problem-solvers.<br />

Nearly 100% of Louisiana’s graduating<br />

class (49,178) took the 2014 ACT<br />

Only 27% of <strong>LA</strong> students met<br />

the ACT <strong>Math</strong> benchmark with<br />

an average score of 18.9<br />

22<br />

<strong>Math</strong> benchmark score based on a<br />

scale of 1 to 36<br />

Nationally, 43% met <strong>Math</strong> benchmark with an average ACT score of 18.9<br />

| # 10 | |<br />

Center for Development and Learning


The <strong>Standards</strong> consist of eight (8) key practices that provide the foundation for<br />

further mathematical learning and everyday problem solving. Regardless of<br />

the grade level or content area, these <strong>Standards</strong> for <strong>Math</strong>ematical Practice are<br />

a guide to good math instruction.<br />

The <strong>Standards</strong> for <strong>Math</strong>ematical Content describe specific skills that students<br />

need to know in various content areas. Students in kindergarten through 2nd<br />

grade will learn skills in the following content areas:<br />

Counting & Cardinality<br />

Number & Operations in Base Ten<br />

Operations & Algebraic Thinking<br />

Measurement & Data<br />

Geometry<br />

MATH <strong>Standards</strong><br />

For students to be college and career ready, they need to be able to apply<br />

math to solve real-world problems and to connect general math practices<br />

to specific math content. Both are equally important for students to be<br />

mathematically proficient.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2<br />

| | 11 # |


<strong>Standards</strong> for<br />

<strong>Math</strong>ematical Practice<br />

Students who are mathematically proficient should:<br />

Make sense of problems and persist in solving them.<br />

• Break a problem apart, think about different ways to<br />

approach it, choose a way to solve it, and work until it’s done.<br />

• Use different methods to determine if answers are correct or<br />

not, and take a different approach if needed.<br />

Reason abstractly and quantitatively.<br />

• See numbers as representing objects or units of something<br />

(things, sizes, lengths, amounts).<br />

• Use objects, pictures, drawings, words, or symbols to make<br />

sense of and solve problems.<br />

• Translate information into a math problem/numerical<br />

expression.<br />

| 12 | Center for Development and Learning


Make logical arguments and critique the reasoning of<br />

others.<br />

• Explain answers and how problems were solved.<br />

• Decide between correct and incorrect ways of solving<br />

problems, and explain their reasoning.<br />

• Understand how others solve problems and figure out if it<br />

makes sense.<br />

Apply math to the real world.<br />

• Apply math knowledge to different subjects and everyday<br />

situations (using multiplication and subtraction to determine sale<br />

prices, geometry to build a garden, or fractions and<br />

measurements to bake a cake).<br />

• Use graphs, charts, tables, and data from news articles and<br />

other sources to make math relevant and real (using a table of<br />

different cell phone plans to determine the best option).<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 13 |


<strong>Standards</strong> for<br />

<strong>Math</strong>ematical Practice<br />

Students who are mathematically proficient should:<br />

Use appropriate tools strategically.<br />

• Know how to use a variety of tools, including pencil and paper,<br />

rulers, scales, calculators, and mathematical software.<br />

• Choose the best tool for different situations, explain why it was<br />

chosen, and use it correctly (when to use a <strong>com</strong>pass versus a<br />

protractor).<br />

Be accurate and pay attention to details.<br />

• Work carefully and always check work.<br />

• Use clear definitions, explanations, and math vocabulary.<br />

• Understand the meaning of math symbols and use them correctly.<br />

• Specify units of measure and label clearly and correctly.<br />

| 14 | Center for Development and Learning


•<br />

1. Make sense of problems and<br />

persist in solving them.<br />

2. Reason abstractly and quantitatively.<br />

3. Make logical arguments and critique<br />

the reasoning of others.<br />

4. Apply math to the real world.<br />

5. Use appropriate tools strategically.<br />

6. Be accurate and pay attention to details.<br />

7. Look for rules and patterns when<br />

solving problems.<br />

8. Apply rules and patterns to solve<br />

different types of problems.<br />

Data & Statistics<br />

•<br />

Measurement<br />

•<br />

<strong>Standards</strong> for<br />

<strong>Math</strong>ematical Practice<br />

Algebra<br />

Probability<br />

•<br />

•<br />

Geometry<br />

Number<br />

•<br />

Look for rules and patterns when solving problems.<br />

• Use what’s already known (prior knowledge) to solve problems<br />

and find patterns. For example, students can determine the<br />

numbers in the sequence 1, 2, 4, 7, __, __, __ by recognizing<br />

patterns of adding 1 to the first number, 2 to the second, 3 to the<br />

third, 4 to the next, and so on. Find other patterns of the same<br />

sequence, such as adding 1 to the sum of the previous two<br />

numbers (1+2+1, 2+4+1, 4+7+1, 7+12+1).<br />

• Recognize and break apart problems and numbers into parts.<br />

7 x 8 equals 7 x 5 + 7 x 3, which also equals 7 x (5+3).<br />

Apply rules and patterns to solve different types of<br />

problems.<br />

• Notice patterns in calculation and use them to create short cuts.<br />

• Make connections between math concepts and calculations.<br />

• Apply concepts (ideas, rules) to solve problems having<br />

different numbers, sequences, steps, and scenarios rather than<br />

only being able to solve one type of problem.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 15 |


| # |<br />

Center for Development and Learning


<strong>Standards</strong> for <strong>Math</strong>ematical<br />

Content<br />

The math content standards focus on three main things:<br />

1. A deep focus on key math skills and knowledge for each grade,<br />

2. Mastery of math concepts by building skills throughout the year and<br />

from one grade to the next, and<br />

3. Rigorous work to encourage deep learning and relevant connections.<br />

The <strong>Standards</strong> for <strong>Math</strong>ematical Content describe key topics that students<br />

need to learn in each grade. <strong>Standards</strong> for each grade build on each other<br />

rather than repeating year after year. The table below shows how the<br />

standards connect within and across grade levels and topics.<br />

<strong>Math</strong>ematics <strong>Standards</strong> Progressions<br />

Kindergarten 1 2 3 4 5 6 7 8 HS<br />

Counting<br />

and<br />

Cardinality<br />

Number and Operations in Base Ten<br />

Ratios and<br />

Proportional<br />

Relationships<br />

Number<br />

and<br />

Quantity<br />

Number and<br />

Operations - Fractions<br />

Operations and Algebraic Thinking<br />

The Number System<br />

Expressions and<br />

Equations<br />

Functions<br />

Algebra<br />

Functions<br />

Geometry Geometry Geometry<br />

Measurement and Data<br />

Statistics and<br />

Probability<br />

Statistics<br />

and<br />

Probability<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 17 |


KINDERGARTEN<br />

By the end of the school year, your child should:<br />

Write numbers from 0 to 20.<br />

Count to 100 by ones and<br />

by tens.<br />

Create and break apart<br />

numbers from 11 to 19 into<br />

tens and ones.<br />

Add and subtract within 10.<br />

Solve addition and subtraction<br />

word problems by using<br />

objects or drawings.<br />

Break down numbers less<br />

than or equal to 10 into pairs<br />

in more than one way.<br />

Understand that the next<br />

number in a sequence is one<br />

number larger.<br />

Measure and <strong>com</strong>pare<br />

attributes of objects, such as<br />

length, height, or weight.<br />

Tell whether the number of<br />

objects in one group is<br />

greater than, less than, or<br />

equal to the number of<br />

objects in another group.<br />

| 18 | Center for Development and Learning


Count forward starting with any<br />

number instead of having to<br />

begin at one.<br />

Count a number of objects<br />

while saying the number for<br />

each object, and understand<br />

that the last number tells the<br />

total number of objects counted.<br />

Use simple shapes to form<br />

larger shapes. For example,<br />

join two (2) triangles to make<br />

a rectangle.<br />

Identify and <strong>com</strong>pare twodimensional<br />

(flat) or threedimensional<br />

(solid) shapes.<br />

Talk to the teacher<br />

about how your child<br />

is doing in school.<br />

Ask questions like:<br />

1. “Is my child on track?”<br />

2. “In what area is my child<br />

doing well?”<br />

Correctly name shapes,<br />

and describe objects in the<br />

environment using names<br />

of shapes.<br />

Describe the positions of<br />

objects in relation to each<br />

other (above, below, beside, in<br />

front of, behind, and next to).<br />

3. “Are there areas where<br />

my child is struggling?”<br />

4. “What are some resources<br />

and tools that I can use<br />

to help my child learn<br />

outside the classroom?”<br />

5. “Can I see how the lesson<br />

is taught in class?”<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2<br />

| 19 |


FIRST GRADE<br />

By the end of the school year, your child should:<br />

Determine if equations<br />

involving addition and<br />

subtraction are true or false.<br />

Compare two 2-digit numbers<br />

with the symbols > (greater<br />

than), = (equal to), and < (less<br />

than).<br />

Order three objects by length<br />

and <strong>com</strong>pare the lengths of<br />

the two objects by using a<br />

third object.<br />

Add and subtract multiples<br />

of 10 in the range of 10-90.<br />

Add and subtract within 20<br />

to solve word problems<br />

using objects, drawings,<br />

and equations.<br />

Solve word problems that<br />

call for addition of three<br />

whole numbers whose sum<br />

is less than or equal to 20.<br />

Be<strong>com</strong>e a partner with your child’s teacher<br />

Technology can be a good way to build regular<br />

<strong>com</strong>munication with your child’s teacher. Some teachers<br />

may respond to an email and/or text message faster and<br />

more often than a phone call.<br />

| 20 | Center for Development and Learning


Tell and write time in hours<br />

and half-hours using analog<br />

and digital clocks.<br />

Add and subtract within 100.<br />

Understand that the two digits<br />

of a two-digit number represent<br />

tens and ones.<br />

11<br />

10<br />

9<br />

12<br />

8<br />

7<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

11<br />

10<br />

9<br />

12<br />

8<br />

7<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

Given a two-digit number,<br />

mentally find 10 more or 10<br />

less than the number without<br />

counting.<br />

Understand that 10 is a<br />

bundle of ten ones called a<br />

“ten.” The numbers 10, 20, 30,<br />

40, 50, 60, 70, 80, 90 refer to<br />

one, two, three, four, five, six,<br />

seven, eight, or nine tens<br />

(and 0 ones).<br />

Be able to add and subtract<br />

within 10. Use strategies such<br />

as counting on, making ten,<br />

and de<strong>com</strong>posing a number<br />

leading to a ten (for example,<br />

13 - 4 = 13 - 3 - 1 = 10 - 1 = 9).<br />

Count, read, and write<br />

numbers up to 120, starting<br />

at any number.<br />

Divide circles and rectangles<br />

into two and four equal shares.<br />

Describe them using the words<br />

halves, fourths, and quarters,<br />

and use the phrases half of,<br />

fourth of, and quarter of.<br />

Draw two- and threedimensional<br />

shapes with their<br />

specific features (for example,<br />

triangles are closed and<br />

three-sided).<br />

Determine the unknown whole<br />

number in an addition or<br />

subtraction equation.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 21 |


SECOND GRADE<br />

By the end of the school year, your child should:<br />

Add up to four 2-digit numbers.<br />

Read and write numbers to<br />

1000 using base-ten<br />

numerals, number names,<br />

and expanded form.<br />

Compare two 3-digit numbers<br />

with the symbols > (greater<br />

than), = (equal to), and <<br />

(less than).<br />

Add and subtract within 1000.<br />

Understand that the three<br />

digits of a three-digit number<br />

represent hundreds, tens,<br />

and ones.<br />

Use addition to find the<br />

total number of objects in<br />

rectangular arrays with up to 5<br />

rows and up to 5 columns.<br />

Add and subtract within 100<br />

to solve one- and two-step<br />

word problems.<br />

Mentally add 10 or 100 to a<br />

given number 100-900, and<br />

mentally subtract 10 or 100<br />

from a given number 100-900.<br />

| 22 | Center for Development and Learning


Draw picture and bar graphs<br />

with a single-unit scale to<br />

represent data with up to<br />

four categories.<br />

Use the correct tools to<br />

measure length of objects<br />

(rulers, yardsticks, and<br />

measuring tapes), using units<br />

of inches, feet, centimeters,<br />

and meters.<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

Football Basketball Tennis Baseball<br />

Measure the same object using<br />

different units of length (inches,<br />

feet and yards) and explain<br />

how the units relate.<br />

Divide circles and rectangles<br />

into two, three, or four equal<br />

parts. Describe the shares<br />

using the words halves, thirds,<br />

quarters, and describe the<br />

whole as two halves, three<br />

thirds, four fourths.<br />

How many more students like<br />

baseball than tennis?<br />

Decide whether a group of<br />

objects (up to 20) is an odd<br />

or even number.<br />

Count within 1000; skip-count<br />

by 5s, 10s, and 100s.<br />

Write whole numbers on<br />

a number line with equally<br />

spaced points starting from 0.<br />

Solve word problems involving<br />

dollar bills, quarters, dimes,<br />

nickels, and pennies using $<br />

and ¢ symbols appropriately.<br />

Sarah has<br />

Jane has<br />

Tell and write time from<br />

analog and digital clocks to<br />

the nearest five minutes, using<br />

a.m. and p.m.<br />

How much more does Jane<br />

have than Sarah?<br />

Identify triangles,<br />

quadrilaterals, pentagons,<br />

hexagons, and cubes.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 23 |


| 28 | Center for Development and Learning


Problem Solving in <strong>Math</strong><br />

<strong>Math</strong> has usually been taught like a recipe: take ingredients (the<br />

numbers), follow a series of steps, and end up with a result (the answer).<br />

An experienced cook can change or create his own recipe because he<br />

knows why and how to <strong>com</strong>bine ingredients. A beginner can only follow<br />

steps. They might know what to do, but they can’t explain why.<br />

If students understand why they do math the way they do it, they’ll be able<br />

to apply their skills more flexibly. Rather than simply memorizing math<br />

facts, tricks, and shortcuts, the goal is to help students understand why<br />

those tricks and shortcuts work.<br />

Students need to understand how to solve problems, why those methods<br />

work, and be able to apply them to real life. You may see these changes<br />

reflected in the following ways:<br />

• More <strong>com</strong>plex word problems - Students will apply math to reallife<br />

situations and solve <strong>com</strong>plex problems with many steps by<br />

breaking them into smaller parts.<br />

• Multiple ways to solve the same problem - Students will still learn<br />

what is known as the standard algorithm, the way that their parents<br />

learned to multiply, divide, add, and subtract. They will also learn<br />

other methods that try to make the underpinnings of the standard<br />

method more obvious.<br />

• Show or explain thinking – Students will show how they solve<br />

problems using models, drawings, and other visuals that can help<br />

make math more concrete. They will also explain their thinking –<br />

say why they think their answer is right.<br />

The following section provides examples of different types of math<br />

problems and models students may solve in school.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 25 |


SIXTH 9TH KINDERGARTEN<br />

& 10TH GRADE GRADE<br />

Students will<br />

analyze similarities<br />

and differences<br />

among two<br />

Are they the same? Circle your answer, and explain<br />

it to an adult or friend.<br />

Are these the same? YES NO<br />

.<br />

Are these the same? YES NO<br />

Students learn to<br />

sort and identify<br />

categories by<br />

.<br />

Match the groups that have the same number.<br />

| 26 | Center for Development and Learning


Example<br />

Count and circle 10 things. Tell how many there are<br />

in two parts - 10 ones and some more ones.<br />

From there, students<br />

begin to understand<br />

I have 10 ones and ___ ones.<br />

by counting and<br />

modeling with<br />

objects representing<br />

numbers 10 to 20.<br />

They also learn to<br />

think of 10 as a unit<br />

and to break apart<br />

two-digit numbers<br />

into tens and ones.<br />

Draw more to show the number.<br />

10 ones and 2 ones<br />

Write and draw the number.<br />

Circle the correct numbers that describe the pictures.<br />

10 ones and 3 ones<br />

10 ones and 7 ones<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 27 |


SEVENTH 9TH KINDERGARTEN<br />

& 10TH GRADE<br />

Students use<br />

different strategies<br />

to<br />

.<br />

They will use<br />

pictures, fingers,<br />

cube sticks,<br />

number bonds,<br />

and other models.<br />

The squares below represent a cube stick. Color<br />

the squares to match the rabbits. 4 squares gray. 1<br />

square black. Draw the squares in the number bond.<br />

Show the parts of the<br />

number bond on your<br />

fingers. Color the<br />

fingers you used.<br />

rabbits and rabbit make rabbits.<br />

Color 1 block blue. Color the rest red. All of the blue<br />

blocks fell off the table. How many blocks are still on<br />

the table?<br />

| 28 | Center for Development and Learning


Example<br />

Color 7 boxes red the 5-group way. Color the rest<br />

blue to make 10. Fill in the number sentence.<br />

Students will learn that<br />

.<br />

They will then learn to<br />

find different “partners”<br />

that make 10 for any<br />

number.<br />

Pretend this is your bracelet. Color 5 beads blue<br />

and the rest green. Make a number bond to match.<br />

Color some beads yellow and the rest orange.<br />

Make a number bond to match.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 29 |


EIGHTH 11TH FIRST & GRADE 12TH GRADE<br />

Students learn<br />

to directly<br />

and indirectly<br />

in the context of<br />

real-world<br />

situations.<br />

In a playroom, LuLu cut a piece of string that<br />

measured the distance from the doll house to the<br />

park. She took the same string and tried to measure<br />

the distance between the park and the store, but she<br />

ran out of string!<br />

Which is the longer path? Circle your answer.<br />

the doll house to the park<br />

the park to the store<br />

The Doll House The Park The Store<br />

Circle the picture that shows the correct way to<br />

measure.<br />

3 centimeter cubes<br />

4 centimeter cubes<br />

4 centimeter cubes<br />

4 centimeter cubes<br />

| 30 | Center for Development and Learning


Example<br />

Write the number of equal parts in each shape.<br />

Students use<br />

different strategies<br />

and models<br />

to understand<br />

the relationship<br />

between the<br />

Label the shaded part of each picture as one half of<br />

the shape or one quarter of the shape.<br />

This will provide<br />

the foundational<br />

knowledge for<br />

understanding<br />

fractions.<br />

Which shape has been cut into more equal<br />

parts? ____<br />

Which shape has larger equal parts? ___<br />

Which shape has smaller equal parts? ___<br />

Color part of the shape to match its label. Circle the<br />

phrase that would make the statement true.<br />

One quarter of<br />

the square<br />

is larger than<br />

is smaller than<br />

is the same size as<br />

one fourth of<br />

the square.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 31 |


EIGHTH 11TH FIRST & GRADE 12TH GRADE<br />

Students learn to<br />

numbers to make<br />

10.<br />

Circle the numbers<br />

that make ten.<br />

Complete the number<br />

sentence.<br />

____ + ____ + ____<br />

Match the equal<br />

expressions.<br />

a. 9 + 3 10 + 4<br />

b. 5 + 9 10 + 0<br />

c. 9 + 6 10 + 2<br />

d. 8 + 9 10 + 5<br />

e. 9 + 7 10 + 7<br />

f. 9 + 1 10 + 6<br />

Students begin<br />

to learn<br />

by<br />

understanding<br />

that the two digits<br />

of a two-digit<br />

number represents<br />

tens and ones.<br />

Write the tens and ones and say the numbers.<br />

Complete the statement.<br />

tens ones<br />

There are ______ flowers.<br />

Students use<br />

different strategies<br />

to<br />

.<br />

| 32 | Center for Development and Learning


Example<br />

Write the number of items in each set. Then, circle<br />

the set that is greater in number. Write a statement<br />

to <strong>com</strong>pare the two sets.<br />

Students learn<br />

to <strong>com</strong>pare two<br />

qualities and identify<br />

which number is<br />

______<br />

______<br />

the other number.<br />

______ is greater than _______.<br />

Circle the set of coins that has a greater value.<br />

3 dimes<br />

3 pennies<br />

Write the name of each object in the correct column.<br />

Students find,<br />

name, and classify<br />

globe<br />

block<br />

tennis<br />

ball<br />

tissue box<br />

dice<br />

party hat<br />

can<br />

.<br />

Rectangular<br />

Cubes Spheres Cones Cylinders<br />

Prisms<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 33 |


EIGHTH 11TH FIRST SECOND & GRADE 12TH GRADE GRADE<br />

Students use<br />

drawings, pictures,<br />

objects, and<br />

arrays to create<br />

Redraw the lemons to make 2 equal size groups.<br />

and<br />

relate to repeated<br />

addition. This<br />

will provide the<br />

foundational<br />

knowledge for<br />

understanding<br />

multiplication.<br />

2 groups of _____ lemons = _____ lemons.<br />

Draw 1 more group of four. Then, write a repeated<br />

addition equation to match.<br />

____ + ____ + ____ + ____ + ____ = ____<br />

5 groups of ____ = ____<br />

Use the array of squares to answer the questions<br />

below.<br />

a. ____ + ____ + ____ + ____ + ____ = ____<br />

b. ____ rows of ____ = ____<br />

c. ____ columns of ____ = ____<br />

d. Remove 1 row. How many<br />

squares are there now? ____<br />

e. Remove 1 column from the new<br />

array you made in (d). How many<br />

squares are there now? ____<br />

| 34 | Center for Development and Learning


Example<br />

Explain why both polygon A and B are hexagons.<br />

Students describe and<br />

based<br />

on their specific<br />

characteristics<br />

(features).<br />

__________________________________________<br />

Draw a different hexagon than the two that are shown.<br />

Circle all of the rectangles that are partitioned into<br />

fourths, and cross out any rectangle that is not<br />

partitioned into fourths.<br />

Students divide<br />

shapes into<br />

and describe<br />

shapes as halves,<br />

thirds, and fourths.<br />

Draw the hands on the analog clock to match the<br />

time shown on the digital clock. Then, circle a.m.<br />

or p.m. based on the description given.<br />

Students learn to<br />

Time to go to school.<br />

11<br />

10<br />

9<br />

12<br />

8<br />

7<br />

6<br />

1<br />

2<br />

3<br />

4<br />

5<br />

as it relates to the<br />

real world.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 35 |


EIGHTH 11TH FIRST SECOND & GRADE 12TH GRADE GRADE<br />

Students draw<br />

and interpret<br />

picture and bar<br />

graphs with a<br />

single-unit<br />

scale to<br />

with up to four<br />

categories.<br />

Alex sorted the fruits in his shopping basket. The<br />

table below shows what he bought.<br />

Oranges Lemons Bananas Pears<br />

2 5 3 4<br />

Draw and label a picture graph to represent the<br />

fruits in Alex’s shopping basket.<br />

Title<br />

Legend:<br />

Students solve<br />

addition and<br />

subtraction<br />

using the ruler as<br />

a number line.<br />

Use the broken centimeter ruler to solve the<br />

problem.<br />

A grasshopper jumped 7 centimeters forward and<br />

4 centimeters back and then stopped. If the<br />

grasshopper started at 18, where did the<br />

grasshopper stop? Show your work.<br />

15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30<br />

| 36 | Center for Development and Learning


Example<br />

Solve and explain your answer using place value.<br />

Students use<br />

different methods to<br />

.<br />

Students are also<br />

required to explain<br />

their thinking.<br />

Solve each problem showing the strategy you used.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 37 |


Special Education<br />

Because all children deserve a high quality education, there are no separate<br />

or different standards for children with special needs. However, students<br />

with disabilities should be provided a range of supports.<br />

Children with special needs should receive remediation, ac<strong>com</strong>modations,<br />

modifications, assistive technology, and other supports for classroom<br />

learning and any tests, all of which can be specified in an IEP<br />

(Individualized Educational Plan) or 504 Plan.<br />

Some questions to ask include:<br />

• What learning goal does each standard address?<br />

• What does my child need to have in place to achieve<br />

the standards being taught?<br />

• What strategies, teaching, technology, or other services will be<br />

provided to make sure my child has an equal opportunity to reach<br />

the same high level of learning?<br />

• How will any changes related to the <strong>Standards</strong> affect my<br />

child’s IEP?<br />

• Are there other tests, options, or services available adapted<br />

to meet my child’s needs?<br />

• Who should I go to for help?<br />

Knowing what your child is supposed to be learning in each grade can<br />

make it easier for you to ask questions about meeting academic goals and<br />

what kind of extra help your child might need.<br />

The plan may have both learning and nonacademic goals, such as<br />

behavioral goals or goals related to how your child expresses his/her<br />

feelings. Only the learning goals need to be based on the grade-level<br />

standards.<br />

| 38 | Center for Development and Learning


<strong>Parent</strong> Child Teacher<br />

Communication<br />

I.E.P.<br />

For more information:<br />

Accessibility Features and Ac<strong>com</strong>modations for Students with Disabilities in<br />

PARCC Assessments - A <strong>Parent</strong>’s Guide<br />

http://www.parcconline.org<br />

Application to Students with Disabilities<br />

http://www.corestandards.org<br />

Families Helping Families Centers<br />

http://dhh.louisiana.gov/Index.cfm/page/1564<br />

FAQs on Universal Design for Learning and the Common Core from the<br />

National Center on Universal Design for Learning<br />

http://www.udlcenter.org<br />

Louisiana Department of Education: Students with Disabilities<br />

https://www.louisianabelieves.<strong>com</strong><br />

National Center for Learning Disabilities<br />

http://www.ncld.org<br />

For direct links to the resources listed above, visit the Educational <strong>Resource</strong>s page at www.cdl.org.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 39 |


How to Support your Child<br />

For too long, there has been a gap in what students need to know and do<br />

in order to be successful in college and the workplace and what they are<br />

taught in school. The Louisiana <strong>State</strong> <strong>Standards</strong> are meant to be clearer,<br />

more rigorous, and based on what research shows will prepare your child<br />

for college and career.<br />

In order to change what and how our students are learning, there are 6<br />

main changes, also known as “shifts”.<br />

This section provides a closer look at the shifts, what they mean for your<br />

child, and what you can do to help.<br />

SHIFT 1 Focus<br />

Spending more time on<br />

important concepts<br />

Students Must…<br />

• Spend more time on fewer concepts and go more<br />

in-depth on each concept.<br />

<strong>Parent</strong>s Can…<br />

• Keep track of what the priority work is for your child for<br />

his/her grade level.<br />

• Spend time with your child reviewing and practicing<br />

priority work.<br />

• Ask your child’s teacher about his/her progress on<br />

priority work.<br />

| 40 | Center for Development and Learning


SHIFT 2 Coherence<br />

Connecting topics within<br />

and across grade levels<br />

Students Must…<br />

• Keep building on learning year after year and connect<br />

topics across grades.<br />

<strong>Parent</strong>s Can...<br />

• Be aware of what your child struggled with last year<br />

and how that will affect learning this year.<br />

• Support your child and make sure that help is given for<br />

“gap” skills – negative numbers, fractions, etc.<br />

Look for assignments that build on one another. Students will<br />

focus on and , then and<br />

. Once these areas are mastered, they will focus on<br />

. Building on that, they will focus on and other<br />

more advanced subjects.<br />

You should be able to see the progression in the topics they learn.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 41 |


SHIFT 3 Fluency<br />

Repetition and practice of<br />

math skills<br />

Students Must…<br />

• Spend time practicing many problems on the same idea.<br />

<strong>Parent</strong>s Can…<br />

• Push children to really know basic math facts.<br />

• Know all of the skills your child should have and which<br />

ones he/she is good at. Prioritize learning of those skills<br />

that are most challenging or difficult.<br />

– Use what your child already knows to help him<br />

understand other concepts. For example, if your child knows that<br />

5 x 5 = 25, she can then add 5 to figure out that 6 x 5 = 30.<br />

– Use buttons or other objects to model different<br />

concepts (addition, skip counting, multiplication, number patterns<br />

and relationships).<br />

– Make an index card for each math fact. Teach a<br />

few per day, adding new facts to the stack of known facts. Review<br />

the stack everyday until all are mastered.<br />

– Give your child a timed test of all the facts<br />

he has learned. The purpose is not to race or rush, but to see how<br />

many can be answered within a certain time. If your child is really<br />

learning, the number of facts he can answer within a set time period<br />

should gradually increase.<br />

| 42 | Center for Development and Learning


Be sure your children understand the<br />

of<br />

addition/subtraction and multiplication/division before simply<br />

memorizing facts. Memorization is meaningless if they don’t<br />

know what the fact means.<br />

SHIFT 4<br />

Deep Understanding<br />

Ability to write and speak<br />

about topics<br />

Students Must…<br />

• Understand why the math works.<br />

• Talk about why the math works.<br />

• Prove that they know why and how the math works.<br />

<strong>Parent</strong>s Can…<br />

• Notice whether your child really knows why the answer<br />

is what it is.<br />

• Provide the time your child needs to learn key math.<br />

• Provide time for your child to work hard with math at<br />

home.<br />

• Get smarter in the math your child needs to know.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 43 |


SHIFT 5 Application<br />

Using skills correctly for<br />

each unique situation<br />

Students Must…<br />

• Apply math in real world situations.<br />

• Know what math to use for which situation.<br />

<strong>Parent</strong>s Can…<br />

• Ask your child to DO the math that <strong>com</strong>es up in your<br />

daily life.<br />

• Have your child to<br />

scores or stats for a favorite sports team.<br />

• Have young children and fruit by different colors and<br />

shapes when grocery shopping; encourage older kids to<br />

of the bill or keep track of the grocery budget.<br />

• Have kids<br />

ingredients when cooking a meal or baking a<br />

cake together. They can also learn to<br />

by figuring out<br />

when the food will be ready.<br />

• Kids can<br />

when building a<br />

garden. Kids learning<br />

could use an array to plan the<br />

number and position of vegetable plants. Younger kids can and<br />

the number of seeds or plants by type.<br />

| 44 | Center for Development and Learning


1. How many apples do we have in the bag? Do we have<br />

more apples or oranges?<br />

2. We need 1 cup of sugar, but we have only a 1/4 and 1/3 cup<br />

to measure with. What can we do?<br />

3. The recipe says, “bake for 45 minutes.” It’s 11:45 am now.<br />

When will it be ready?<br />

SHIFT 6<br />

Dual Intensity<br />

Understanding and correct<br />

application happening at<br />

the same time<br />

Students Must…<br />

• Be able to use core math facts fast, apply math in and<br />

out of the classroom, and know which math procedure<br />

to use for each situation.<br />

<strong>Parent</strong>s Can…<br />

• Know which concepts your child understands and where<br />

he needs to improve.<br />

• Make sure children practice the math facts they struggle<br />

with. They may need more review time than others.<br />

• Make sure your child is thinking about math in real life.<br />

<strong>Math</strong> <strong>Parent</strong> <strong>Resource</strong> Guide K–2 | 45 |


References<br />

California Department of Education (May 15, 2014). Common Core <strong>Resource</strong>s for<br />

Special Education. Retrieved from http://www.cde.ca.gov/SP/se/cc/<br />

Common Core <strong>State</strong> <strong>Standards</strong> for <strong>Math</strong>ematics. Retrieved on July 15, 2015 from<br />

http://www.corestandards.org/wp-content/uploads/<strong>Math</strong>_<strong>Standards</strong>.pdf<br />

EngageNY. Common Core Curriculum. Retrieved on July 15, 2015 from<br />

https://www.engageny.org/<strong>com</strong>mon-core-curriculum<br />

EngageNY. Common Core <strong>State</strong> <strong>Standards</strong>: Shifts for Students and <strong>Parent</strong>s.<br />

Retrieved on March 18, 2014 from http://www.engageny.org/sites/default/files/<br />

resource/attachments/shifts-for-students-and-parents.pdf<br />

Eureka <strong>Math</strong>. Retrieved on July 15, 2015 from http://greatminds.net/maps/math/<br />

module-pdfs<br />

Louisiana Department of Education. Retrieved on March 18, 2014 from<br />

http://www.louisianabelieves.<strong>com</strong><br />

National PTA. <strong>Parent</strong>s’ Guide to Student Success. Retrieved on March 18, 2014 from<br />

http://www.pta.org/parents/<br />

U.S. Chamber of Commerce Foundation: Education and Workforce. Retrieved on<br />

March 21, 2014 from http://www.businessforcore.org/<br />

This resource contains excerpts and summaries. See the Common Core <strong>State</strong><br />

<strong>Standards</strong> for <strong>Math</strong>ematics for the official set of standards at<br />

http://www.corestandards.org/wp-content/uploads/<strong>Math</strong>_<strong>Standards</strong>.pdf<br />

For math problem examples, see Eureka <strong>Math</strong> at http://greatminds.net/maps/<br />

math/module-pdfs and Engage NY at https://www.engageny.org/<br />

<strong>com</strong>mon-core-curriculum<br />

One Galleria Boulevard, Suite 903<br />

Metairie, <strong>LA</strong> 70001<br />

(504) 840-9786<br />

www.cdl.org | learn@cdl.org

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