# Using Math Images on HelpTeaching.com

HelpTeaching.com offers an extensive collection of math images along with free printable and Common Core aligned worksheets using them. Recent additions to our database of images include decimal gridsdigital clocks, rulersinequalities, box plots and histograms.

These build upon the wide selection of math graphics on HelpTeaching.com, including images for:
ArithmeticPictographs, Fractions, Base Ten Blocks

MeasurementClocks, Money, Protractors, Rulers, Thermometers, Statistics and Probability

AlgebraLines, Tiles, Graphs and Functions

To find questions already created that use math images, view our Questions with Images page to browse through each category.  Be sure to look for the newest questions featuring clocks, inequalities, and decimals.

When creating math questions and tests with images, remember that they can:

Parents with young children and early education teachers will enjoy our free, number coloring worksheets and hands-on clip-cards featuring images of shapes, colors, and numbers.

Help Teaching subscribers can use all our existing questions with images or create their own questions using our extensive image library. In addition, subscribers may upload their own custom images to use in questions and worksheets.

Visit HelpTeaching.com to browse our collections of math worksheets and math lessons or create questions and worksheets that meet your teaching needs.

# Using Question Groups on HelpTeaching.com

HelpTeaching.com offers a convenient question grouping tool that gives members the power to create collections of questions with shared instructions. Read on to learn more about “Question Group” feature and how to use it in your next assessment.

When to Use Question Groups

A group is a set of two or more questions with common instructions or reference text.  Consider using a group when:

• Several questions refer to the same set of instructions – View: “Daily Grammar”.
• Questions center on the same reading passage – View: “Four Freedoms”.
• Using a word bank for fill-in-the-blank questions – View: “Memorial Day Matching“.
• Asking questions about a graphic – View: “Electromagnetic Spectrum”.
• Referencing a set of data – View: “Data Table”.

When in doubt ask yourself, “Can this be used as a stand alone question as written?” If the answer is no, then it should most likely be added to a group with the instructions it depends on.

How to Create a Group

Creating a group takes only a minute, yet it can save you much more time than that by reducing the need to enter the same instructions multiple times. Once logged into HelpTeaching.com, creating a question group is very similar to creating a test. Start by selecting the “Test Maker” tab then the “create a question group” link under the advanced option description. From here, you can name a group and add common instructions. Clicking on the “Add This Question to a Group” button will insert a question in the chosen group. If you wish to group a question, but haven’t yet created a place for it, select “Add Question to a New Group”. Groups can be customized as needed by arranging question order and altering the common text.

Like a standalone question, a group can be added to a test or worksheet by clicking the “Add This Group to a Test” button. Locate your question groups by selecting the “My Content” tab at the top of the page. Questions in the Help Teaching database that appear in groups have a blue box that states it is part of a question group. Select the “View Group” link to see the entire group of questions and instructions. Remember, worksheets can include stand alone questions, groups, or a combination of groups and stand alone questions.

# How To Use Questions with Images

Creating questions with images is an important part of any assessment or activity. The ability to observe, analyze, and interpret items are essential for all students, with images being especially important for visual learners, who benefit from having a concept or theme illustrated for them.

HelpTeaching.com has a bank of 2000+ images for use in creating more advanced and more visual assessments and activities for your students. In addition, Help Teaching subscribers can create custom questions, worksheets, and assessments by uploading their own images.

For a teacher who works in the Humanities, visuals are an essential component of my tests and activities. HelpTeaching.com has a vault of maps for major topics of World and U.S. History. In many cases the maps have two versions: one with labels and one without, allowing you to create an activity that fits your specific needs. For example, when teaching American expansion to the West, I can have my students fill in the various treaties that allowed us to obtain land, or I can give them a completed map and ask questions about each specific element. Follow this link for a sampling of questions that use maps in the different manners described above.

HelpTeaching.com also offers a wide variety of graphics appropriate for use in math and science classrooms. For example, biology teachers can use HelpTeaching.com’s images to create complete assessments which require students to identify parts of the human heart, eye, or ear. Elementary teachers can use our pre-made worksheets featuring images pushing and pulling forces or  simple machines. Be sure to view samples of biology, chemistry, physics, earth science, astronomy, and scientific method questions featuring images from Help Teaching.

Math questions tend to rely heavily on graphics to more clearly convey key concepts. Math graphics available for use on HelpTeaching.com include angles and lines, 3-D shapes, area, volume, decimals, fractions, polygons, nets, solid figures, clocks, money, pictographs, protractors, transformations, tables, graphs, algebra tiles, base ten blocks, and rulers. Elementary math students often benefit from solving problems which incorporate pictographs along with text. Likewise, geometry teachers can use angles, circles, or polygons graphics to ask specific questions about degree measure, circumference, or side length. Algebra teachers can utilize questions and images for functions and algebra tiles. Read our article on Using Math Images to learn more about how to incorporate math images into your questions and worksheets.

There is also a complete set of graphic organizers that can be used to demonstrate various concepts and themes in the Language Arts or Social Studies classroom. Some of the charts and tables available on HelpTeaching.com include: flow charts, cause and effect, fact or opinion, sequencing, KWL, and Venn Diagrams.

These organizers make a great addition to any lesson or homework assignment. For example, after reading a chapter, students can complete a sequencing activity about what they read. Or they can compare and contrast different characters. Or your class can open a unit about Exploration by completing a KWL chart.

Help Teaching also offers a variety of images to support other subjects including art, music, early educationvocational education, and handwriting practice.

To add an image, create a question and then scroll through the image categories located on the left taskbar. Click to add the image you want and then create a question as you normally would. If you want to upload a custom image, simply select the “My Images” tab from the taskbar then the “Upload An Image” button. Creating a group of questions based on an image is very efficient way to assemble similar questions with one image. See this blog post for more info on groups.

The vault of images at HelpTeaching.com offers you a wealth of options to vary your activities and tests. Browse all questions with images for ideas on how to incorporate images into your activities and tests.

# How to Write Higher-Order Math Questions

As educators, we expect our students to learn and apply math concepts using higher-order thinking skills that go beyond rote learning. With the adoption of the Common Core Math Standards, many of us must do just that, by focusing more in-depth on fewer math concepts. However, writing math problems that require higher-order strategies can be almost as difficult as solving them.

To get started, try writing a lower-level math problem then apply one or more of the following techniques:

Tips for Writing Higher-Order Math Problems

•  Have students determine and extrapolate a mathematical process or pattern and apply it to an unfamiliar problem or scenario
•  Ask students to identify and evaluate missing or incorrect information
•  Challenge students to solve one problem using multiple methods
•  Consider asking, “Given ____, what would happen if ____ changed?” questions
•  Give an answer and a mathematical concept, have students write their own questions or equations that produce the given answer
•  Ask students to justify their solutions or identify and justify the “best” or “most correct” solution from a selection of plausible choices
•  Write problems that ask for connections between more than one set of information, this could include charts, tables, equations, graphics, and data sets
•  Watch that answers for multiple-choice questions are logical and that the correct choice is not structurally different from the incorrect answers
•  If you are having difficulty writing a problem, start by constructing questions that incorporate these higher-order key words and concepts: analyze, justify, explain, apply, interpret, compare, estimate, predict, prove, formulate, modify

Consider the Common Core Math Standard 7.G.4

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

A lower-order question for this standard could be:

What is the area of a circle with a radius of 5?
a) 5π
b) 10π
c) 25π
d) 100π

As presented, this question strictly tests student knowledge and application of the required formula. Instead, consider structuring the question using a “real-life” scenario that requires multiple steps to solve:

Official tournament play of Ringer marbles requires a circular game ring with a diameter of 10 feet. Alexis needs to construct multiple rings for a tournament using rope to mark the circumference of each ring. If she has 100 feet of rope, what is the maximum number of rings Alexis can make?
a) 2
b) 3
c) 4
d) 5

Finally, try constructing an open-response question that requires students analyze and evaluate the information in a non-routine manner:

Jackson explains to his classmate that doubling the circumference of a circle results in the doubling of the circle’s area. Is Jackson correct? Use the formulas for area and circumference to justify your answer.

This problem still satisfies skills posed in standard 7.G.4, however it now requires students not only demonstrate knowledge and application of the formulas, but also analyze the relationship between them.

Writing higher-order problems takes time, but ideally, the additional time will help students further develop the critical-thinking skills we strive to nurture as educators.

For more examples of higher-order math questions, view these questions created by HelpTeaching.com members:

Example 1:  Problem Solving Strategies
Example 2:  Fractions
Example 3:  Logical Thinking
Example 4:  Area
Example 5:  Exponents
Example 6:  Ratios

Visit HelpTeaching.com to browse our collections of math worksheets and math lessons or create questions and worksheets that meet your teaching needs.

# How to Format Math Equations

Writing math problems can be time consuming, particularly when it comes to properly formatting mathematical equations. HelpTeaching.com offers the capability to create professional quality equations easily with our interactive math editor. With over 150 scientific and mathematical symbols to choose from, you can quickly generate equations ranging from basic exponents questions to the most complex calculus problems.

To format an equation, login to HelpTeaching.com and begin creating a question. Click on the “Insert a Math Equation” button located above the question field. A box will open in which you can enter an equation while selecting from a wide variety of math symbols available under the headings on the right side of the box.

Once the item is complete, select “Insert Equation” and you will return to the question creation screen. Special math tags will appear around the problem in this view, but the finalized format will appear after saving the question or when viewing in it “Preview” mode.

A simple way to get started is by visiting our section on “How to Write Math Equations” and clicking on any of the sample formulas shown on the page. The selected equation will automatically populate in the sandbox at the top of the page. You can then copy-and-paste the coding for this equation into a question you create and edit numbers or mathematical notation to fit your needs.

When creating items, multiple equations can appear in both questions and answers as well as in science questions. View the following links for examples of individual problems and free worksheets created with our equation editing tool: