Algebra 1 - Classifying Numbers

This is truly a treasure of a product. Being able to fully classify a number is very important to grasping pre-Algebra and Algebra 1. 

Now it's one thing to know that a number is a "whole number", but in this product students will fully identify what other sets the particular number is a part of.

The number sets included in this product for students to identify include:

• Natural Numbers
• Whole Numbers
• Integers
• Rational Numbers
• Irrational Numbers
• Transcendental Numbers
• Algebraic Numbers
• Positive Numbers
• Negative Numbers
• Real Numbers

Students will learn as well as have fun identifying and eliminating the appropriate numbers sets from the worksheets.

Here's how to use this product:


Print out the included full-page colorful “Number Classification Guide” for each student, and allow them to study it and it as a guide to help classify the numbers in the worksheets. Note that these worksheets can be administered more than once. Therefore, as a challenge have students classify the numbers again without using the guide!

Use the included answer key to check the answers.

Download the product here!

Two-Step Fractions Practice (With Detailed Step-by-Step Answers)

We all need more time.  And, if you are like me, you are always trying to get it all done despite only being limited to 24 hours in a day.

I created these task cards to make being a teacher much easier.  These task cards are unique because they not only provide students with practice with two-step fractions, cover fractions that deal with real world problems, and present fractions in multiple contexts, they also come with:

• A detailed, step-by-step solution for every math problem.  This makes it easier for students to work independently and deeply understand fractions.
• a printable box.  Print out the number of copies that you need.  Students can work independently or in small groups.

This resource makes test prep so much easier.  Students review fractions (in-depth) at different complexity levels.  The step-by-step solutions, visual examples, and detailed explanations are great for a variety of learning styles.Click Here to Access Them

This is a great resource to review the Common Core Math Standards, prepare for state assessments, and sharpen math skills.

Teaching Square Roots (Radicals) For Deep Understanding

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.  It helps students deeply understand concepts.  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.

Additional Resources

To Access Radical Task Cards Click Here

To Access Dividing Fractions Task Cards Click Here

Teaching Integers for Deep Understanding (Negative and Positive Numbers)

Negative and positive numbers seem like a straightforward subject.  I have found students over the years that seem to understand the concept, but when they are faced with a word problem or a situation that involves integers, it becomes easier to distinguish students that have deep level understanding from those that partially understand.

Presenting this concept in many ways is helpful.  This builds deeper understanding. Students  will often say "Oh!  That is what is means" when they see integers presented in mutiple ways.

Students are asked to draw diagrams in their journals of different ways to represent integers (negative and positive numbers).

My favorites are

-as owing (negative) or having (positive) a certain amount of money

-as above sea level (positive) or below sea level (negative)

-as below freezing (negative) or boiling point (positive)

After using multiple examples, students begin to generalize.

Grade 5 Interactive Common Core Math Journal

Click Here to Access This Interactive Notebook

Fractions

 Click Here To Access Task Cards

Click Here For Decimal Word Problem Task Cards

Click Here To Access Them

 

Click Here For Identifying Fractions Task Cards

Click Here For Adding Fractions Task Cards

Click Here For Add and Subtract Fractions With Different Denominators

Click Here for Fraction Task Cards

Click Here To Access Dividing Fractions Task Cards

Dividing Fractions: Going Beyond Procedures and Learning for Deep Understanding

Having a firm understanding of what a math concept means is just as important if not more than knowing the steps that should be followed in order to solve a math problem.

By drawing step-by-step diagrams in math that show the progression of how numbers or fractional parts change, students are better able to understand math concepts.  Let us look at an example.

Megan read 3/5 of her book in 6 days.  If she read the same number of pages each day, what fraction of the book did she read each day?

For Task Cards That Teach And Review How To Divide Fractions Click Here

To Access Math Task Cards That Teach And Review A Variety Of Math Concepts Click Here

Being able to visualize math concepts helps students understand word problems, and it also helps students have the needed skills in order to solve math problems that are worded in different ways.

Click Here To Access Task Cards

Understanding Radicals

Powers of Exponents Rules 

Interactive Math Journal Fold Insert

One of the elements that makes mathematics tricky for pre-algebra and algebra students is the rules is all of the rules that must be memorized.  Radicals is no exception.

Once students understand the basics, they can apply these rules when solving equations and expressions.

Interactive journals are useful notetaking resources at all grade levels.  This interactive journal insert was developed to help the students that I assist with math remember exponent rules.  Colored pencils were used to color code each rule.

These task cards come with a printable box and are useful for reviewing radicals.  They are mostly geared for advanced students.

To Access Radical Task Cards Click Here