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GreatKids State Test Guide for Parents

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See what skills are tested, understand your child's scores, and get ideas for how you can help at home.


6th grade
ELA/Literacy Skills

Sixth graders go beyond the literal and recognize the implied meaning of what they read. They also start thinking about the purpose behind a piece and ask why was it written.


What it means
How to help

What they're learning

Sixth graders are expected to read articles and books with a critical eye. This means asking questions that get at the author’s motivation: What is the author’s background? Who is the author writing for? Why might the author write this piece at this moment in history?

Sixth graders also need to learn to recognize which statements are backed by evidence and which are not. What proof does the writer give for her ideas? Does the evidence make sense?

Sixth graders are expected to be reading and analyzing so-called “complex” texts. For example, thanks to its figurative language and themes dealing with challenging issues such as loss, the Harry Potter series counts as complex text.

Finally, sixth graders are expected to keep trying even when the reading gets tough, so encourage your child to re-read sections that are difficult. When that science text isn’t making much sense to your child, show him how to use the chapter description, headers, images, and glossary to figure out main ideas, and then encourage him to try reading that section again.

See what’s expected of middle school readers.

Want to know more?

At this stage, your child should recognize which details are related to the central theme and which are slightly off topic. Take an article about how great white sharks use the element of surprise to hunt their prey. It might be interesting to know that they can go one or two months without another big meal, but that information is not directly related to their hunting practices.

To make sense of unknown words, sixth graders should be able to use several strategies, including guessing the meaning from context, looking up a word in the dictionary, and getting the idea of the word from its root word, prefix, or suffix. For example, if they know trans means across and port means to carry, they can figure out that transport means to carry things from one place to another. Sixth graders should also be developing the ability to think symbolically when reading figurative language. When faced with an idiom such as stuck between a rock and a hard place, they should know this is not about being wedged underneath a literal boulder.

Figurative language can be especially challenging for people whose first language isn’t English. They must learn the literal meaning of words before interpreting symbolism in phrases. (Imagine trying to understand Let sleeping dogs lie if you were learning English!)

If your child didn't meet the reading standard...

  • Your child may have trouble figuring out the writer’s reason for writing a text.
  • Your child may have trouble distinguishing between ideas backed by evidence and claims with no evidence.
  • Your child may struggle to understand figurative language (idioms, metaphors, etc.) that the author uses, leading him to misunderstand important ideas.
  • Your child may get frustrated or distracted when reading really challenging text.
How to help

Best ways to help your child

Offer your child opportunities to practice reading texts that are considered challenging for sixth graders, such as Wonder by R.J. Palacio. Make reading a source of pleasure by catering to your child’s interests. This means not just reading books but reading magazines, comics, online articles, and blogs. Your sixth grader should be reading at least 30 minutes a day. Here are some high-level and interesting books for your sixth grader.

Family reading time

Want to know one of the most powerful ways to inspire your child to read? Read for your own pleasure! Seeing you read the morning newspaper, a book before bed, or a favorite blog goes a long way toward showing how reading can enrich a person’s life. Establish a regular 30-minute (or more) family reading time (daily is best, but weekly can work). Everyone in the family has a book, magazine, or tablet to read. When the time ends, ask everyone to share what they learned.


Find out what your child enjoys reading and look for audiobooks so she can read along with the audio version. The first time she may just listen to a chapter, but the second or third time she’ll be reading along. Children can read texts above their level if they are highly interested or already know something about the topic. Audiobooks are also a wonderful way to add some reading firepower to long school commutes!

Hands-on with the world

Children learn through doing. Explore a museum or park and let your child’s questions about what he sees guide your conversations. By talking with him about the jellyfish at the aquarium, for example, you will build his vocabulary and stimulate his curiosity. (Museums can be pricey, but most have at least one free day per month. And free parks can generate questions just as easily without the fees.)

Build a big vocabulary, one word at a time

It’s important for sixth graders to build their academic vocabulary. These words are broadly used in many subjects and even in everyday conversation, but kids sometimes have trouble understanding their meaning. The words encourage, unique, chronological, and priority are examples of academic vocabulary. Print out this list of academic vocabulary words that your sixth grader should know and post it on your fridge. Try to use these words in context with your child, and see if she can use them correctly. This will help improve your child’s reading, speaking, and writing.

Books with figurative language

As the texts they read get increasingly challenging, sixth graders see more metaphors (comparisons of two unlike things — life is a highway) and similes (comparisons using like or asas brave as a lion). To understand these well, children need lots of exposure as well as explanations. Look for books that use this language. Talk about the words used to make comparisons. Here are a few books teachers recommend:

The Phantom Tollbooth by Norton Juster
Catherine, Called Birdy by Karen Cushman
Snicker of Magic by Natalie Lloyd
Encounter by Jane Yolen
Fair Weather by Richard Peck

Practice, practice, practice

These lessons at will give your child some practical experience reading a variety of subjects, finding evidence, determining the main ideas, and using clues in the text to improve his skills. And check out these books that come with discussion guides so you can work with your tween on those reading necessary skills.

Talk to your child’s teacher

Sixth graders need to be pretty good at identifying the main point, drawing conclusions, and finding evidence in what they read. Ask your child’s teacher about each of these skills. Is your child quick to identify the main point? Does he tend to draw the right conclusions? When your child points to evidence, is it the strongest example or more of an extra detail? Knowing your child’s strengths and weaknesses will help you figure out the best ways to help her build these skills.


What it means
How to help

What they're learning

Sixth graders are becoming moderately independent writers. This means they don’t need as much help from the teacher as they used to. They should be able to take an idea and expand on it over several organized paragraphs. They should state their main idea, write paragraphs using evidence to support the idea, and cite the sources they used.

They continue to write stories (narrative writing) and reports (informational writing), but there’s a subtle shift in how sixth graders write to convince others of their opinion. In earlier grades, this was called opinion writing, but in sixth grade it’s called writing an argument. Now, students are expected to analyze an issue and realize that there’s an opposing argument. To do this, sixth graders should consider points that might be used in favor of the opposite opinion. For example, when trying to persuade a reader that exercise is fun, a student might write Some people think it’s hard, painful, and boring, but it can be more enjoyable than watching TV. For now they are not expected to argue against this other opinion, they simply need to note its existence.

Want to know more?

By now, sixth graders are aware of opinions that are different from their own. When they write they should make a case, or argument, in favor of their opinion using evidence. This type of writing is known as argument writing.

Whatever they write, sixth graders should revise and edit their writing. They should also use their growing vocabulary to select precise words to describe ideas. For example, in the following sentence, they could replace the phrase knows about with recognizes to make it more precise and clear: The United States of America knows about more than 550 different Native American tribes.

See what teachers are looking for in your sixth grader’s writing.

If your child didn't meet the writing standard...

  • Your child may struggle to find relevant evidence from texts to support his ideas.
  • Your child may not expand on her ideas or use precise vocabulary to express them clearly.
  • Your child may not mention the existence of opinions that are different from her own.
How to help

Make writing fun

Writing can be intimidating, and it only gets harder if you’re afraid to make mistakes. The goal is to help your child write clearly, so have a conversation about the topic before he begins writing. If you notice lots of errors in punctuation or spelling, or see other problems such as unclear handwriting, don’t jump all over your child. Instead, work with her teacher to develop a plan to improve those skills.

  • Follow their passion — At school, students may have some choice about what they write; but it’s probably limited. At home, the sky’s the limit! Does your child follow a sports team? Have him research and write about its origins, players, and stadium. Does she play video games? Ask her to write a story that involves the characters and places from the game. Or have her create a “cheatbook” explaining how she beats each level. Make sure to talk about the chosen topic before your child begins writing.
  • Authentic audience — Most people don’t write without considering who will be reading it; the same goes for sixth graders. When your child settles on a topic she cares about, help her brainstorm who she might share it with. Maybe she’ll write a letter to a sports fan club or share her opinions about video games with other gamers. Other ideas include thank-you letters, movie reviews for family members, and letters to favorite authors. Wanting to impress the audience will motivate her to be clear and check her work for errors.
  • Convince me! — Help your child improve his reasoning skills by asking him to list pros and cons of two ideas, like playing outdoors versus playing video games. Ask him to list benefits and drawbacks of each. Then, have a debate — and see who wins!
  • Talk it out — Before putting the pencil to the page, encourage your child to talk about what she’s going to write. Talking helps writers organize their thoughts and makes the actual writing easier.

Clarify that, please

Use these tools at to understand what’s expected of a sixth grader when the test and teacher write an informative/explanatory, argumentative, or narrative piece. Have him watch the WriteAlong videos and practice as well.

Talk to your child’s teacher

Sixth graders may struggle to stay focused on their writing topic. Ask your child’s teacher what organizing strategies you can use at home to help her keep related ideas grouped together.

Speaking & Listening

What it means
How to help

What they're learning

By sixth grade, children should be pretty good at sharing their ideas and listening to their peers. Rather than repeating the same idea someone else has expressed (even if they’re saying it in a new way), sixth graders should be responding and adding to what others say. There’s a big focus on choosing words and phrases carefully to make sure words fit their purpose, whether they’re telling a story, giving a report, or making an argument.

See what teachers expect of 6th graders in discussions and presentations.

After listening to a presentation — audio or visual — sixth graders should be able to clearly summarize the main idea and provide supporting facts. For example, after watching a narrated video about the body language of elephants, sixth graders should be able to say that the main idea is that elephants have their own ways of communicating — and evidence of that is that the elephant’s head waggle means it wants to play.

Want to know more?

After listening attentively for the main idea and supporting details, sixth graders should take a moment to organize their thoughts before they speak. Then, they should summarize what they understood and restate the important information. In addition, sixth graders should be identifying differing opinions shared by speakers.

Throughout the year, teachers assess how well sixth graders communicate their ideas during class discussions. However, the state test only covers listening skills (at least for now).

For the test, sixth graders listen to a recording and answer questions to demonstrate their ability to listen carefully and capture the most important information and details.

If your child didn't meet the listening standard...

  • Your child may struggle to stay focused on the main idea or may get distracted by the supporting facts of a presentation.
  • Your child may have a hard time summarizing the key points and supporting facts presented in a recording.
  • Your child may be confused by new words used in the presentation or words with multiple meanings.
How to help

Best ways to help your child

  • Explore an issue — Kids this age are keen observers of society. They usually have questions about things they hear adults discuss, such as homelessness or international relations. Read a news article or book together about a social topic (such as I am Malala) and ask your child what she thinks about it. It’s a good way to help your child practice speaking using facts from what she reads. Feel free to share your ideas with your child, too, but make sure it’s a two-way conversation with questions and follow-up questions.
  • TV time! — With your child, watch an episode of a TV show he likes. After the show, ask: What was the main problem in this episode? How was it solved? How would you end the story differently? Also watch a short documentary together. Ask: What point is the filmmaker trying to make? Were you convinced? Why do you think it’s important for us to know about this topic?
  • Play newscaster — Have your child pick an article in Time for Kids to read aloud to you. Tell her to practice reading with expression, like a TV newscaster. When she comes to the end of the article, have her give her commentary on the news she just read. She should recap the main ideas, put them in context, and then tell the viewer (you) what sort of follow-up she’ll be doing in her next broadcast. You can even take a video so she can see her performance.

Talk to your child’s teacher

During presentations, sixth graders should be listening for the main idea and details of what they hear. Then, during the discussion, they should try to restate the main idea and supporting evidence. Ask your child’s teacher what questions to ask that will help your child practice summarizing what she hears.


What it means
How to help

What they're learning

Sixth graders understand that research is critical to good writing. By now, they know that information comes in many different forms (print, charts, and videos).

Kids should be thinking about the motivation behind an author’s writing and consider whether bias exists (Is the writer trying to sell you something? or Does the writer want your vote?). Students will analyze this idea further in high school, but in sixth grade they begin thinking about what might motivate a particular writer.

Sixth graders should be comfortable taking notes while they do research. It’s not just writing things down. It’s using their own words. It’s remembering what information came from which source. It’s also reviewing and categorizing the new information so they can present it in a clear, organized way. For example, What did I find out about how cells divide from the textbook and from the article?

Watch how middle schoolers do research for an essay.

Want to know more?

Sixth graders are expected to compare and contrast several sources on the same topic. For example, they may read excerpts from a memoir, part of a biography, and an article to find similarities and differences. Students should be learning to distinguish facts from opinions and to rank sources based on their credibility.

If your child didn't meet the research standard...

  • Your child may struggle to recognize the difference between fact-based evidence and an opinion.
  • Your child may not understand information found in tables and graphs — or maybe he doesn’t think to reference these sources as evidence to make his point.
  • Your child may struggle to summarize an author’s point of view, especially if it’s significantly different from his own.
How to help

Best ways to help your child

  • Follow her interests — Is your child interested in nature, social issues, or maybe maps? Look at two maps drawn 100 years apart to find similarities and note how they’ve changed over time. Ask her to draw conclusions about the changes she observes. What evidence can she point to that supports her conclusions? Teachers might see your child’s project and give her extra credit points.
  • Fact, fact, opinion — Play a version of the game Two Truths and a Lie to help your child understand the difference between having evidence and just stating an opinion without any proof to back it up. Start by picking a subject — just about anything, yourself, granny, the grocery store. Then provide your child with three statements about the subject: two facts that you can see are true and one opinion that would require evidence to show it’s true. For example, This apple is red; this apple is the size of my fist; this apple is the best one in the store. Have your child explain why the last one is an opinion.

Talk about it

Here’s are some books that come with discussion guides. You’ll know exactly how to get your sixth grader chatting and sharing the facts and her opinion with you!

Talk to your child’s teacher

Sixth graders may struggle to recognize which information would be best to use in their writing. Ask your child’s teacher what questions to ask to help your child use the right facts to support her writing.

6th grade

When you calculate a tip, that’s percents. Cut ⅔ cup sugar in half? That’s dividing fractions. Compare the number of cupcakes to kids? You’re doing ratios. These are the big ideas in sixth grade.

Concepts & Procedures

What it means
How to help

What they're learning

Think of concepts and procedures as the why and how. For example, by the end of sixth grade, students need to know how to divide ¾ by ⅔ (a procedure), but they also need to understand why dividing fractions requires multiplication (a concept).

Sixth graders also learn about ratios, which are a way to compare numbers — or quantities — of things that are part of a whole. For example, imagine you have 12 fish in your fish tank. If 8 of them are angelfish and 4 of them are starfish, that’s a ratio of 8 to 4. It can also be written as 8:4.

Watch these sixth graders explain ratios.

Students need to understand how ratios work because they’ll be called on to use this knowledge practically every day in everything from comparing prices and cooking to figuring out distance and knowing how many miles your car gets with each gallon of gas.

One type of ratio, known as a rate, explains the relationship between a quantity and a period of time. If you’re driving at a rate of 50 miles per hour, that’s a ratio of 50:1. Knowing that rate, students can figure out how long it will take to travel 200 miles. Sixth graders should also begin learning about percentages, which are a ratio expressed as a fraction of 100.

Sixth graders start using a number line that includes negative numbers. Students need to see — and understand — that negative 3 is the same distance from zero as positive 3. Working with negative numbers, students gain a new sense of how to put numbers in order on a number line and compare the value of negative and positive numbers.

Your sixth grader should be starting on the formal road to algebra. Students need to learn how to read, write, and evaluate algebraic expressions and equations in which a letter (also called a variable) stands in for an unknown number.

If your child didn't meet the concepts and procedures standard...

  • Your child may not fully understand the concept of fractions, which makes it difficult to understand what it means to divide fractions. (See sample problem 1.)
  • Your child may not be sure how to use ratios and rates to solve problems. (See sample problem 2.)
  • Your child may not understand how to find a rate or a unit rate from a ratio. (See sample problem 3.)
  • Your child may not understand percents or how to use benchmark percentages — such as 10%, 25%, 50% — to quickly and accurately calculate a part of a whole or a percentage. (See sample problem 4.)
  • Your child may not understand that numbers can be positive or negative. Many kids have trouble understanding negative numbers and how they are used in the real world. (See sample problem 5.)
  • Your child may need practice setting up and solving one-step equations and inequalities that have variables, such as 3 + x = 15, x – 10 = 22, 15x = 45, x ÷ 6 = 5, or x + 7 < 12. (See sample problems 6 and 7.)
  • Your child may not know how to find the value of an inequality or how to show that value on a number line. (See sample problem 8.)

Sample problems

Dividing fractions by fractions

Sixth graders divide fractions by fractions — a more conceptually difficult task than, say, dividing a fraction by a whole number like they did in fifth grade. Dividing a fraction by a fraction can be tricky to visualize, so drawing pictures can be helpful for students when solving problems like 910 divided by 410.

Watch this video from LearnZillion for an explanation of dividing fractions by fractions.

Sample problem 1: Dividing a fraction by a fraction


Using ratios to solve problems

Knowing how to work with fractions helps students as they start studying ratios, which are a main focus in sixth grade. Sixth graders work on three main skills using ratios: 1) ratio and rate language; 2) recognizing, generating, and graphing pairs of equivalent ratios; and 3) comparing ratios. Ratios express the relative size of two (or more) quantities or numbers. Kids talk about ratios using words such as 3 to 2, or 3 for every 2, or 3 out of every 5, or 3 parts to 2 parts.

Watch how sixth graders calculate equivalent ratios.

Sample problem 2: Using ratios to solve problems


Understanding rates and unit rates

Ratios have associated rates. For example, the ratio 3 feet for every 2 seconds has the associated rate 32 feet for every 1 second. In sixth grade, students describe rates in terms like for each 1, for each, and per. This is called the unit rate.

Students can calculate the unit rate of a ratio to compare two quantities or find proportional rates (like speed). In the following problem, students must draw on their knowledge of rates to determine who walks faster per 1 second. Why? Because it’s difficult to compare walking rates when they’re in different amounts of time.

Sample problem 3: Calculating and comparing unit rates


Percents and benchmark percents

Students also learn about percents — sort of a sister to ratios that means per 100. As they become familiar with percents, students will be able to do mental math using common percentages known as benchmark percents, such as 10%, 25%, and 50%. Knowing how to do these calculations in your head comes in handy when you want to leave a 20% tip on a $36 restaurant bill, or when you want to know how much money you’ll save when a $35 pair of jeans is 15% off.

Sample problem 4: Percents


Understanding negative numbers

Before sixth grade, students learned about whole numbers (0, 1, 2, 3, etc.) and fractions greater than 0. In sixth grade, kids step backwards, numerically speaking, to learn about negative numbers. On the surface, it may seem impossible for something to be less than zero, but negative numbers serve a purpose in daily life. If you accidentally take too much money out of the ATM machine, your bank balance could go below zero. If you live in a region prone to droughts or floods, the water level may be described as below or above sea level, with 0 representing sea level. Not enough water, or below sea level, is a negative number. Then there’s the temperature; if you’ve lived through a New England winter you already know what it means when the temperature falls into negative numbers, or below zero. By the end of sixth grade, your child should understand situations that involve negative numbers (like the ones just mentioned). Sixth graders should also be able to place negative numbers on a number line to show the relationship between numbers. (For example, -12 is less than -5 because it is further away from 0; and in a context, -12 degrees is colder than -5 degrees.)

Sample problem 5: Negative numbers


Algebraic expressions and equations

Since kindergarten, students have been writing numerical expressions, starting with basic addition, such as (2 + 3), and moving into more complex problems, such as (8 x 5) + (2 x 6). In sixth grade, students need to convert these into algebraic expressions by using variables, or letters that represent unknown numbers. For example, subtracting y from 5 would be written as 5 – y.

Sixth graders use variables in word problems. A test question might pose this situation: Daniel spent $10 on 5 candy bars. Write an equation to determine how much each candy bar cost. The answer is 5x = 10 or 10 ÷ 5 = x, where x is the cost of one candy bar. Here’s another one.

Sample problem 6: Writing and solving equations with variables


Sixth graders also use variables with ratios and rates. For example, let’s say you’re driving at a speed of 60 miles an hour. Students may be asked to create an equation showing the distance traveled after 3 hours. It would look like this: 3 x 60 = x.

In the following word problem, students must first identify the patterns for x and y before calculating the relationship between x and y.

Sample problem 7: Working with variables in ratios and rates


Interpreting inequalities

Sixth graders also work with inequalities, which are expressions that say two things are not equal. Inequalities use the signs > (greater than), < (less than), or ≠ (not equal). Students should be able to interpret inequalities and represent them on a number line.

For example, the inequality x > -2 shows that the variable, x, is greater than -2. Since x is a variable, it includes all numbers greater than -2, such as -1, 0, 1, 2, 3, 4, etc. The inequality x > -2 is shown on the number line below. The arrow means that it goes on forever in that direction, meaning that x can equal any number greater than -2.


Sample problem 8: Inequalities


How to help

Start with a great attitude

The most important thing you can do to help your child with math is to have a positive attitude toward math, and find ways to demonstrate that to your child. Why? Because research shows that a parent’s attitude toward math is contagious; so just by having a good attitude you are helping your child with math. So yes, you are a math whiz — and your child will be one, too.

Sprinkle math into everyday activities

  • Whenever there’s an item on sale, ask your child to figure out what it will cost after the discount. Pose reverse questions, too. For those $50 jeans your child wants, how much would they need to go on sale for the total price to drop to $25?
  • When you’re going somewhere, ask your child how long it will take to get there if it’s 15 miles away and you’re driving at 60 miles an hour.
  • Ask your child to figure out the ratio of flour to milk in your favorite pancake recipe. Then ask him to double (or halve) the recipe.

Boost those skills

Talk to your child’s teacher

Start by asking your child’s teacher about your child’s grasp of the why and how. First, does your child understand the why behind the concepts in sixth grade? Does he know why dividing a fraction by a fraction requires multiplication? And why a negative number is to the left of 0 on the number line? Next, does your child understand how to do the problems? If not, where does he struggle? (Is it dividing fractions, writing the equation, filling in ratio tables?) Ask the teacher to help identify the specific concepts and procedures that your child is struggling with most.

Problem Solving & Modeling/Data Analysis

What it means
How to help

What they're learning

We all know it’s important for kids to master division, fractions, and equations. But math is more than memorizing facts or even procedures. Math also teaches an essential skill: problem solving. Sixth graders are expected to be able to solve problems even when the path to solving the problem isn’t clear. Students should be comfortable asking and answering questions such as: What is this problem asking me to do? How do I know this is correct? Does this make sense? How else can I solve this?

Modeling and data analysis means taking a real-world problem and using math to solve it — by creating a graph, drawing a picture, using a number line, creating a table, or building a model. In sixth grade, students apply the concepts and procedures they’ve learned to solve real-world problems.

See how a sixth grader solves a word problem involving ratios.

If your child didn’t meet the problem solving and modeling/data analysis standard...

  • Your child may have trouble making sense of a situation and determining what problem needs to be solved. (See sample problems 1 and 2.)
  • Your child may have trouble evaluating her answer to see if it’s reasonable.
  • Your child may need help figuring out or understanding new, different, or more efficient ways to solve problems. (See sample problem 2.)
  • Your child may have trouble understanding how to interpret or create a graph, chart, table, or equation that shows the relationship between two quantities. (See sample problem 3.)
  • Your child may have trouble sticking to it when he gets stuck.

Sample problems

Analyze and efficiently solve problems

Sixth graders are expected to figure out how to solve problems that don’t tell them which procedures or techniques to use. Students need to identify the important information in problems, figure out which steps to take, and choose what tools to use (for example, pictures, graph paper, or a ruler) to find the answer. Many problems, such as the sample problem below, can be solved using a variety of techniques. Your child should be able to read a problem and find the answer using a technique that works for him. He should also be able to make sense of other approaches and show multiple ways to solve a problem.

Sample problem 1: Analyzing a problem and looking for ways to efficiently solve it


Relationship between quantities

Students learn to show and make sense of how quantities change in relationship to one another using graphs and tables. For example, in the sample problem below students are asked to find the rate of two bikers using the data presented.

Sample problem 2: Making sense of quantities and their relationships


Sample problem 3: Modeling, or using mathematics to solve real-world problems


How to help

Start with a great attitude

The math gene is a myth! There’s a common misconception that some people are born with a math brain and some aren’t. Not true. With support, practice, and encouragement, kids can — and will — learn math.

Sprinkle math into everyday activities

  • Is your child the artsy type? Talk to him about how ratios are important in art. Can he draw two pictures that are in a scale of 3 to 1? There’s a ratio! Two parts red paint to three parts blue paint: another ratio!
  • Help your child see how you use problem solving in everyday life. Let’s say you’re food shopping and see two brands of macaroni and cheese on sale. One brand is normally $1.99 and is 30 percent off. The other brand is normally $2.99 and is 20 percent off. Ask your child to figure out which is the better buy.
  • Choose a city that experiences true winter (maybe your hometown), and look up the temperatures on the five coldest days last winter. Create a number line with your child and put those five temperatures on the line and compare them.

Boost those skills

  • Have your child check out this fun video about reasoning with rates.
  • Encourage your child to mess around with equations using this visual calculator:
  • Get your child to practice dividing money amounts, algebraic expressions, fractions, and more with these 43 skill-builder games and activities at Be a Learning Hero.

Talk to the teacher

Teachers want to work with you to help your child. Ask for specific information about your child’s strengths and weaknesses. Ask for suggestions on math exercises you can do at home. Maybe there’s a card game or board game that helps with reasoning skills. Get some advice on how to talk to your child in a way that encourages her.

Communicating Reasoning

What it means
How to help

What they're learning

How did I do this? How do I know I got the right answer? Can I explain my work to the class? Sixth graders will be asking themselves these questions all year. Throughout the year, they need to use their new knowledge of ratios, the number system, and expressions and equations to explain how they arrived at an answer. They need to prove why their answer to a problem is correct. And, they’re asked to (nicely) evaluate their classmates’ work.

Sixth graders need to be able to use their knowledge of mathematical rules to defend their work. For example, they need to be able to explain why multiplying two negatives always makes a positive, or why any number times 1 equals the original number.

If your child didn’t meet the communicating reasoning standard...

  • Your child may struggle to explain why the strategy she chose to solve a problem worked.
  • Your child may have difficulty reviewing a classmate’s work and identifying flaws in reasoning. (See sample problems 1 and 2.)
  • Your child may have trouble figuring out different or more efficient ways to solve problems.

Sample problems

Analyze right and wrong answers

Students should be able to analyze how a problem has been solved and, if it’s not right, point out where things went wrong. Kids also need to be able to explain what the correct solution would be and how — and why — it works. Sixth graders need to be able to use mathematical language and definitions in their explanations.

Sample problem 1: Evaluating other kids’ answers using reasoning


Reason through problems

Students need to be able to use the skills they know to answer questions and figure out how to go about solving multi-part problems. They also have to understand the math well enough to explain their work and use their knowledge of concepts and procedures to support their reasoning. The following problem requires all of that.

Sample problem 2: Supporting reasoning


How to help

Start with a great attitude

Be kind to math. Don’t let math get a bad rap at your house because you can pass negativity about math on to your child. It’s true. Instead, talk about all the ways that math makes your life easier. Make “better living through math” a motto at your house.

Sprinkle math into everyday activities

  • Celebrate math out loud for a day! Since much of an adult’s everyday life is filled with mental math, spend one day sharing these usually silent calculations with your child. You can start from the moment you get up and begin counting backward to figure out if your child is going to be ready for school on time; share the countdown with her. Ask your child to guess the number of miles you can eke out of your current tank before you have to buy more gas. All day long, share your mathematical thinking with your child and challenge her to participate in the math of your family life. Can she figure out how much you will spend on dinner? Or can she calculate the time it will take to get home if there’s traffic that reduces your speed by half?

Boost those skills

Talk to the teacher

You don’t have to wait for the parent-teacher conference to talk to your child’s teacher. Arrange a meeting and talk with the teacher sooner rather than later. Ask the teacher what the class is working on, and ask specifically what your child is doing well and where he is struggling. If you can, look at examples of your child’s work while you talk — it makes it easier to understand how you can help. Ask for tips on how you can help your child improve as well as suggestions for other resources outside of school, such as websites or workbooks.

About GreatKids State Test Guide for Parents

GreatKids created this guide to help you understand your child's state test scores and to support your child's learning all year long. We worked with SBAC and leading teachers in every grade to break down what your child needs to know and exactly how you can help

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