Activities to Teach Students Inequalities With Addition and Subtraction of Mixed Numbers

Inequalities with addition and subtraction of mixed numbers can be a challenging concept to teach students. However, it is an important skill for them to acquire in order to develop their mathematical abilities. Here are some activities that can help students understand inequalities with addition and subtraction of mixed numbers:

1. Number Line Activity

One way to teach inequalities with addition and subtraction of mixed numbers is to use a number line. Start by drawing a number line on the board or on paper. Then, write a mixed number at the beginning of the number line and another at the end. Ask students to identify the line segments between the mixed numbers, and then ask them to fill in the missing mixed numbers.

Next, ask students to solve inequalities that are given on the number line. For example, if there is an inequality that states that one mixed number is greater than another, ask students to identify the line segment that represents the set of all mixed numbers that would satisfy this inequality.

2. Real-World Word Problems

Another way to teach inequalities with addition and subtraction of mixed numbers is to use real-world word problems. For example, you could present a problem like this:

“Samantha ran 4 1/4 miles yesterday and 2 3/4 miles today. Is it true that she has run more than 7 miles in total?”

Students would then need to use their knowledge of inequalities with addition and subtraction of mixed numbers to solve the problem.

3. Interactive Games

Interactive games are another great way to teach inequalities with addition and subtraction of mixed numbers. These games can be found online or created by the teacher. Some examples of interactive games include:

• “Greater Than or Less Than” – This game requires students to compare two mixed numbers and determine which is greater or less than the other.

• “Mixed Number War” – This game is similar to the card game “War,” but instead of using cards, students use mixed numbers. The student who has the larger mixed number wins the round.

• “Inequality Sort” – This game requires students to sort cards based on whether the inequality is true or false.

Overall, there are many activities that can help students understand inequalities with addition and subtraction of mixed numbers. Using a combination of number lines, real-world word problems, and interactive games can provide a well-rounded approach to teaching this important concept.  

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