What do students already know about integers, rational numbers, and the coordinate plane? What gaps do students have in their understanding? Students take the Unit 3 pretest in order to inform instruction.
What do students understand? What gaps do they have in their understanding?
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Making connections between art, math, and the real world helps students understand integers in our daily lives.
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Recall the definitions of four different sets of numbers. This interactive illustration focuses on displaying counting numbers, integers, rational numbers, and real numbers on a number line, providing the opportunity to visualize number sets in multiple ways.
Students practice comparing whole numbers by solving before and after problems.
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Students practice comparing numbers using greater than and less than.
A free CK-12 account is required to view all materials.
In this Cyberchase video, Harry, his friend, and his cousin Harley form a swim relay team. They get timed in three different strokes to see who should swim which one in a relay. They look at the results and try to find the combination of times which will yield the lowest overall relay time.
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Download these free worksheets to sharpen your skills working with integers. Sheets focus on comparing and ordering integers, adding, subtracting, multiplying and dividing integers, and order of operations with integers.
Great resource to practice and strengthen math skills pertaining to integers. Math worksheets are printable, may be customized, and include answer keys.
In this video, students can learn about adding and subtracting integers. [11:23]
Mathantics offers video tutorials on various math topics. This video introduces the concept of negative numbers. [8:26]
Rational Numbers
Type of Unit: Concept
Prior Knowledge
Students should be able to:
Solve problems with positive rational numbers.
Plot positive rational numbers on a number line.
Understand the equal sign.
Use the greater than and less than symbols with positive numbers (not variables) and understand their relative positions on a number line.
Recognize the first quadrant of the coordinate plane.
Lesson Flow
The first part of this unit builds on the prerequisite skills needed to develop the concept of negative numbers, the opposites of numbers, and absolute value. The unit starts with a real-world application that uses negative numbers so that students understand the need for them. The unit then introduces the idea of the opposite of a number and its absolute value and compares the difference in the definitions. The number line and positions of numbers on the number line is at the heart of the unit, including comparing positions with less than or greater than symbols.
The second part of the unit deals with the coordinate plane and extends student knowledge to all four quadrants. Students graph geometric figures on the coordinate plane and do initial calculations of distances that are a straight line. Students conclude the unit by investigating the reflections of figures across the x- and y-axes on the coordinate plane.