Seventh Grade Math Tutorial and StepbyStep Lessons
If students are struggling with seventh grade math, math tutorials can help them catch up. A tutorial shows a math concept and then gives practice problems. A lesson plan is the most complete type of tutorial, and includes not only a concept, but how that concept is to be taught. The following tutorial can be taught at home to an individual student or to an entire class.
Learning Seventh Grade Math
Seventh Grade Math Concepts
Many states subscribe to the Common Core State Standards, which lays out the basic educational benchmarks for students from kindergarten all the way through high school. Seventh grade math addresses four main areas:
 Ratios, proportions and percents
 Adding, subtracting, multiplying and dividing fractions, decimal numbers and negative numbers
 Circumference and area of 2dimensional figures and surface area of 3dimensional figures
 Basic statistics and random sampling
Planning StepbyStep Lessons
Each of the four general areas has a number of subtopics, which would all be taught through individual lessons. Lesson plans generally have specific steps and methods that act as a blueprint for how to teach the concept. A seventh grade lesson plan would include:
 Objectives
 The objectives are what the students should learn from the lesson. What will they be able to do after class is over?
 State Standards
 Identify which standards the lesson applies to. This is an important step because you want to always make sure you're meeting state requirements in your lessons.
 Materials
 List what manipulatives, visuals, audios or interactive activities will be used to teach and practice the material. Listing the materials can help you keep track of everything you will need, so you can be prepared for class.
 Basic Points
 The basic points can be a quick reference to remind yourself of what specific points you want to cover in the lesson. This section should be simple and to the point.
 Review
 Consider what information will be reviewed to prepare students for the new material. Here, you'd want to activate any prior knowledge that the students may have.
 Motivation
 Figure out how you will motivate the students to want to learn the material. It can be helpful if the students feel the importance of learning the concept.
 Activities
 Write the activities that will tie together the materials, basic points and motivations. Activities can reinforce students' learning.
 Closure
 Wrap up the lesson by having the children discuss what they learned, any new insights they have gained and where they may still be uncertain about the topic of the day. These discussions can help you identify what you need to go over the following day.
Lesson Plan Example
Here is an abridged seventh grade math lesson plan on ratios and proportions to give you an example of a math tutorial for a specific topic.
 Objectives
 Students will understand that a ratio is the comparison of two numbers, is written as a fraction and the proportion of two ratios is an equation showing the equality of the two ratios.
 Connections with state standards
 According to the Common Core State Standard 7.RP.2., seventh grade students are able to both recognize and symbolize proportional relationships (www.corestandards.org). This lesson introduces students to proportional relationships.
 Materials
 For this lesson, you'll only need worksheets.
 Basic points
 1. A ratio is comparing one thing to another.
2. A ratio may be written as a fraction, or with a colon between the two numbers being compared.
3. When two of these comparisons are equal, it is called a proportion and is the same as two fractions being equal.
 Review
 Review fractions and finding equivalent fractions.
 Motivation
 We use ratios every day. When we go on a trip, we figure out how long it is going to take to get where we want to go if we drive the speed limit. At the grocery store, we look at prices that tell us how much the meat is per pound. When we work for $5 an hour, we can figure how much we will earn if we work 4 hours. These are all ratios.
 Activities
 1. Use charts to figure equivalent ratios. For example, to figure how long it will take to go 350 miles if you drive 70 mph, the top row of boxes in a chart could be labeled 'Hours', with the numbers 1, 2, 3, 4, 5 and 6. The second row would be labeled 'Miles' and, in the following box, write 70. The students will fill in the rest of the boxes.
2. Students would complete worksheets with similar charts individually.
3. Translate those charts to fractions, then compare pairs of fractions using proportions.
4. Show that before they figured out what all the missing numbers in the chart were, they could have written some proportions with one variable. Example: 1 hour/70 miles = x hours/350 miles or 1:70=x:350
 Closure
 Discuss the following questions:
1. Tell me what a ratio is.
2. Have you ever used a ratio, or heard your parents use one? When?
3. How could you have written that ratio?
4. How could that have been part of a proportion?
5. Where are you still puzzled about ratios and proportions? (You will follow this up in the next lesson.)
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