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Thanks for visiting our board! we hope you find this information valuable and use this when teaching your classroom.

Please let us know how valuable you find the information on our page by rating each item on a scale of 1-10 on how likely you are to use the information to teach integers in your classroom.

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Chapter 23: Developing Concepts of Exponents, Real Numbers, and Integers

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Chapter 23: Developing Concepts of Exponents, Real Numbers, and Integers

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Multiplication and division

Integers and integer exponents

Scientific notation

Real numbers

Exponents

Order of operations

Operations for positive and negative numbers

Square roots and cube roots

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PEMDAS can become confusing to student because of the pneumonic- students may think multiplication comes before division and addition comes before subtraction

Context is important when teaching scientific notation because students understand better when they can apply it to real life situations. Just like putting simple operations into word problems, students have a deeper understanding of the concept it is put into context

Rational vs Irrational- we would use an anchor chart to explain this concept to students so they are able to refer back to the resource in the classroom

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Standard CCSS-M: 8.ee.a.4 For the Activity 23.6  "How Far Away from the Sun?"

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Standard CCSS-M: 8.ee.a.4 For the Activity 23.6  "How Far Away from the Sun?"

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Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology

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Possible Standard and Objective for 6th Grade 

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Possible Standard and Objective for 6th Grade 

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Standard:  6.NS.C.6  Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane

Objective: Students will be able to position positive and negative integers on a number line.

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We've been working on radicals in Intermediate Algebra since before Christmas. The next item on the agenda is making the connection to rational exponents (and thereby also reviewing the Laws of Exponents). My students are fairly confident with Laws of Exponents, but I thought they might like a foldable to summarize everything in one place once we add in the rules for rational exponents and have to apply all the old rules.

If you'd like a copy of the foldable I made, click here for a pdf download. There is a small 2x2 area on each flap where you can include extra notes or an additional example problem of your own. The inside lists a synopsis of the rules and at least one example for each type of problem. If you use it, I'd love to hear your comments!

I submitted this as my first entry to http://made4math.blogspot.com/. Go over and check out the other great resources linked there if you haven't already done so.

Mathematically yours,
Miss B

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We've been working on radicals in Intermediate Algebra since before Christmas. The next item on the agenda is making the connection to rational exponents (and thereby also reviewing the Laws of Exponents).

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Teaching Square Roots (Radicals) For Deep Understanding

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Teaching Square Roots (Radicals) For Deep Understanding

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The square root of nine can be shown visually

with chart paper and blocks.

Whenever possible, the visual form of math concepts should be shown. Often times, blocks and diagrams are used at the lower grade levels. Using diagrams, hands-on examples, and manipulatives can be useful for older students as well.

This method works only with perfect squares.

To teach square roots in a visual way,

have students place their blocks in equal rows starting from the corner

of the page. A total of 9 blocks will be added to this diagram.

Students can "see" the square root of 9 is 3.

Students can determine that the square root

is one side of a square times itself.

Drawing a square within a radical sign is also helpful.

Students found the square root of 4 in the top math problem.

The square root of 3 was determined in the second math problem.

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Teaching Square Roots (Radicals) For Deep Understanding

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The square root of nine can be shown visually with chart paper and blocks. Whenever possible, the visual form of math concepts should be shown. Often times, blocks and diagrams are used at the lower grade levels. Using diagrams, hands-on examples, and manipulatives can be useful for older students as well.

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Order of Operations Song | PEMDAS Rap for 5th Grade

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Students have problems identifying different categories of numbers- this would help visual learners identify the tiers in which numbers are categorized.

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Misconceptions students have with multiplying different expressions

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Misconceptions students have with multiplying different expressions

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Students often times get the same answer for these three expressions:

2 to the power of 3
2 x 3
3 to the power 2

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Context is so important for students to understand concepts

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https://www.pinterest.com/pin/496170083931701923/

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Integer scavenger hunt resource ..ties in real world examples.  From TPT

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Integer scavenger hunt resource ..ties in real world examples.  From TPT

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This is a game for 8th grade student to practice identifying rational and irrational numbers.

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grade 8  free math games practice common core standards

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Practice identifying rational and irrational numbers.