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Algebra 1 - Operations with Integers - Addition

Grade Levels
5th - 8th
Subjects
Standards
Resource Type
Formats Included
  • PDF
  • Activity
Pages
13 pages
$3.50
$3.50
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Easel Activity Included
This resource includes a ready-to-use interactive activity students can complete on any device. Easel by TpT is free to use! Learn more.

Also included in

  1. This bundled package includes:- Operations with Integers-Addition w/ Spanish translation - Operations with Integers—Subtraction w/ Spanish translation- Operations with Integers—Multiplication and Division w/ Spanish translation- A Powerpoint Lesson that coordinates with the above - Operations with
    $20.00
    $25.00
    Save $5.00
  2. The bundled package includesOperations with Integers - AdditionOperations with Integers - SubtractionOperations with Integers - Multiplication and DivisionPowerpoint Lesson that coordinates with the above three lessonsThese can all be purchased separately in my store.
    $12.60
    $15.50
    Save $2.90
  3. This bundle includes three Lessons:. · Operations with Integers—Addition· Operations with Integers—Subtraction· Operations with Integers—Multiplication and Division
    $9.45
    $10.50
    Save $1.05

Description

This activity sheet engages students in using algebra tiles or colored disks to discover the rules for addition of signed integers.

First, students develop the rules using the color tiles to help them visualize the operation of addition. Every problem always begins with a blank table or a zero table. When students combine the chips, they are modeling the operation of addition. When a table has more than one color chip students can always simplify their answer by removing zero pairs.

The students are given five experiments to study:

• Combining red chips with red chips

• Combining red chips with yellow chips

• Combining yellow chips with red chips

• Combining yellow chips with yellow chips

• Combining the same number of yellow chips with the same number of red chips.

After studying these results of the five experiments students begin to generalize the results. They notice that when red chips are combined with red chips the answer is always red chips. Similarly, when yellow chips are combined with yellow chips the answer is always red yellow chips. They also notice why combining red and yellow chips sometimes turns out being red chips and other times yellow chips. They notice that the color chip that had more chips controls the sign. The students notice that when you combine the same number of yellow and red chips the answer is always zero because everything simplified with zero pairs.

From these five experiments students learned that the colored chip also represented positive and negative numbers. The students rewrite the experiments to represent positive and negative numbers. For example, combining 3 red chips with 2 red chips becomes (-3) + (-2) = -5. Because the students worked with colored chips to represent the addition, student now can visualize any new problem with chips. For example, if the students are given a new problem of (+4) + (-6) students think of combining four yellow chips with six red chips. They see four zero pairs being removed from the table and leaving two red chips on the table for an answer of -2.

Extension problems have students extend the rules to decimals and fractions. The emphasis is on determining the sign of the answer based upon what numbers they are given.

A Spanish translation is included.

A digital copy is included.

Comment from a buyer:

• Thank you!

• Great resource, thanks! I am always interested in using manipulatives in my lessons.

• Awesome resource!

• Thanks for making my work easier!!

• Love practicing with manipulatives

Total Pages
13 pages
Answer Key
Included
Teaching Duration
50 minutes
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Standards

to see state-specific standards (only available in the US).
Understand 𝘱 + 𝘲 as the number located a distance |𝘲| from 𝘱, in the positive or negative direction depending on whether 𝘲 is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

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