Grade 7_Quarter 2- Sets of Positive Irrational & Rational

UPNISMED HSM, Dec 18, 2024

Table of Contents

  1. Lesson 1. Square roots of perfect squares and cube roots of perfect cubes
    1. Activity 1.1 Side Length, Area of a Square and Volume of a Cube
    2. Activity 1.2 Square roots of Perfect Squares and Cube roots of Perfect Cubes- Practice
  2. Lesson 2. Solving problems involving square root and cube root
    1. Activity 2.1 Solving problems involving square root and cube root
    2. Activity 2.2 Solving problems involving square root and cube root
  3. Lesson 3. Categorizing numbers as rational or irrational
    1. Activity 3.1: Classifying Numbers Based on Whole Number Ratios
    2. Activity 3.2 Categorizing numbers as rational or irrational
    3. Activity 3.3 Converting Numbers to Decimal Form and Classifying Them
    4. Activity 3.4 Solving Operations and Classifying Numbers
  4. Lesson 4. Estimating the location of irrational numbers on the number line
    1. Activity 4.1 Estimating the location of rational and irrational numbers on the number line
    2. Estimate Location of Numbers in a Number Line
    3. Activity 4.2 Ordering Positive Rational and Irrational Numbers
  5. Lesson 5. Converting units
    1. Conversion of Units

1.

Lesson 1. Square roots of perfect squares and cube roots of perfect cubes

  • 1. Activity 1.1 Side Length, Area of a Square and Volume of a Cube
  • 2. Activity 1.2 Square roots of Perfect Squares and Cube roots of Perfect Cubes- Practice

1.1.

Activity 1.1 Side Length, Area of a Square and Volume of a Cube

[br]This GeoGebra applet allows users to input their desired area for a square, enabling them to observe both the corresponding side length and the volume of a cube with a square face matching the inputted area. Users can[b][i] simply type the desired area in the input box[/i][/b], with values ranging from 0 to 400 square units.[br][br]Click the [b][i]checkbox[/i][/b] to [b][i]display or hide the length of the side of the square[/i][/b], along with the [b][i]volume of the corresponding cube[/i][/b] having the given square face.
[i]In this GeoGebra applet, the side length of the squares are rounded off up to the hundredths place value (up to 2 decimal values).[/i]
– UPNISMED HSM, Abi Gonzales

1.2.

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2.

Lesson 2. Solving problems involving square root and cube root

  • 1. Activity 2.1 Solving problems involving square root and cube root
  • 2. Activity 2.2 Solving problems involving square root and cube root

2.1.

Activity 2.1 Solving problems involving square root and cube root

Solve three sets of values for each item.[br][br]For each item, write down your strategy or solution to explain how you solved it.
[size=150]Strategy/solution for Item #1 [br][br][math]\sqrt[3]{\sqrt{\left(value\right)}}[/math][/size]
[size=150]Strategy/solution for Item #2[br][br][math]\sqrt{\sqrt[3]{\left(value\right)}}[/math][br][/size]
[size=150]Strategy/solution for Item #3[br][br][math]\sqrt[3]{\sqrt[3]{\left(value\right)}}[/math][/size]
– UPNISMED HSM, Abi Gonzales

2.2.

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3.

Lesson 3. Categorizing numbers as rational or irrational

  • 1. Activity 3.1: Classifying Numbers Based on Whole Number Ratios
  • 2. Activity 3.2 Categorizing numbers as rational or irrational
  • 3. Activity 3.3 Converting Numbers to Decimal Form and Classifying Them
  • 4. Activity 3.4 Solving Operations and Classifying Numbers

3.1.

Activity 3.1: Classifying Numbers Based on Whole Number Ratios

Determine whether a number involving a[b][i] square root or cube root can be expressed as a fraction with whole number numerators and denominators[/i][/b].[br][br]Click the "[b][i]Yes[/i][/b]" button if the number can be written as a fraction with whole number numerators and denominators; click "[b][i]No[/i][/b]" if it cannot. Then, click the "[b][i]Submit[/i][/b]" button to check if your answers are correct.[br][br]Record your collected data in the table below, then describe your categories in the space provided.
Collecting Data
Describing group of numbers
Write a description about the numbers that [b][i]can be expressed [/i][/b]as fractions with whole number numerators and denominators.
Describing group of numbers
Write a description about the numbers that [b][i]canNOT be expressed [/i][/b]as fractions with whole number numerators and denominators.
– UPNISMED HSM, Abi Gonzales

3.2.

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3.3.

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3.4.

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4.

Lesson 4. Estimating the location of irrational numbers on the number line

  • 1. Activity 4.1 Estimating the location of rational and irrational numbers on the number line
  • 2. Estimate Location of Numbers in a Number Line
  • 3. Activity 4.2 Ordering Positive Rational and Irrational Numbers

4.1.

Activity 4.1 Estimating the location of rational and irrational numbers on the number line

Estimate the locations of the given numbers involving square roots and cube roots.[br][br][b][i]Drag the points[/i][/b] to their estimated positions. After making your estimates, click [b][i]Submit[/i][/b]. A [b][i]checkmark[/i][/b] will appear if your answers are correct.[br][br]At the end of this activity, describe your strategy or the process you used to estimate the locations of the given numbers.
Describe your strategy or the process you used to estimate the locations of the given numbers.
– UPNISMED HSM, Abi Gonzales

4.2.

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4.3.

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5.

Lesson 5. Converting units

  • 1. Conversion of Units

5.1.

Conversion of Units

Find the conversion ratio of the following units of measurement. Use the GeoGebra applet and the worksheet provided. Click “New Values” to generate different measurements for each unit.
[size=150]1) meters to inches[br][/size]
[size=150]2) meters to feet[/size]
[size=150]3) meters to yards[/size]
[size=150]4) grams to ounces[/size]
[size=150]5) grams to pounds[/size]
[size=150]6) tablespoons to teaspoons[/size]
[size=150]7) tablespoons to fluid ounces[/size]
[size=150]8) tablespoons to cups[/size]
[size=150]9) Celsius to Fahrenheit[/size]
[size=150]10) Fahrenheit to Celsius[/size]
– UPNISMED HSM, Abi Gonzales

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