TEKS 3.3B Worksheets — Grade 3 Determine the corresponding fraction greater than zero

Sebastian is measuring the height of a Kemp's ridley sea turtle he saw at the beach in Texas. He marks a point on a number line at 1/4 of the way to the end. What fraction represents this point on the number line, knowing that the turtle's height could be represented from 0 to 1?

1. 1/4 ✓
2. 1/2
3. 3/4
4. 1/3

Why: The problem states that Sebastian marks a point at 1/4 of the way to the end on a number line that represents fractions between 0 and 1. Therefore, the correct fraction that shows this point is 1/4.

Sofia is hiking in Big Bend National Park. She walks to a marked point on a number line that shows the distance to the summit, which is 3/4 of a mile from the trailhead. What fraction represents the distance Sofia has walked from the trailhead on the number line?

1. 3/4 ✓
2. 1/2
3. 2/4
4. 1/4

Why: Sofia has walked 3/4 of a mile, which is represented by the fraction 3/4 on the number line. To determine her distance, we identify the point corresponding to her walk, and since she has reached that point, the correct fraction is 3/4.

Valentina is planting a vegetable garden in her backyard in El Paso, Texas. She has a garden bed that is divided into 4 equal sections. If she plants tomatoes in 1 section, what fraction of the garden bed is not planted with tomatoes?

1. 3/4 ✓
2. 1/2
3. 1/4
4. 4/4

Why: To find the fraction of the garden bed that is not planted with tomatoes, we first note that the garden bed is divided into 4 equal sections. Since Valentina has planted tomatoes in 1 section, the remaining sections are 4 - 1 = 3 sections. Thus, the fraction of the garden bed that is not planted with tomatoes is 3 sections out of 4 total sections, which is 3/4.

Natalia is making tamales to sell at a fundraiser in San Antonio. She has a number line that shows fractions to represent how many tamales she has made. If she marks a point on the number line that represents 3/4 of her total tamales, which fraction less than or equal to 1 that has a denominator of 4 best represents this point?

1. 1/4
2. 2/4
3. 3/4 ✓
4. 4/4

Why: The point marked on the number line that represents 3/4 is exactly that: 3 out of 4 equal parts. Therefore, 3/4 is the correct fraction that shows how many tamales Natalia has made compared to her total. The other options (1/4, 2/4, and 4/4) do not represent the correct amount of tamales that Natalia has made at that point.

Adriana is helping her grandparents bake a pecan pie for the Texas State Fair. They have a number line that shows different amounts of the pie to be cut. If they decide to cut the pie into 4 equal slices and Adriana cuts one slice, what fraction of the pie does she have now?

1. 1/4 ✓
2. 2/4
3. 3/4
4. 1/2

Why: Adriana cuts one slice out of four equal slices. This means she has 1 out of 4 slices of the pie. In fraction terms, that is 1/4 of the pie.

Ximena is planting a garden in her backyard in Austin, Texas. She has a number line to show how much of her garden she has planted. If she has planted 3/4 of her garden, which fraction represents the part of the garden that she has planted, using a denominator of 4?

1. 3/4 ✓
2. 1/4
3. 2/4
4. 1/2

Why: Ximena has planted 3 out of the 4 equal parts of her garden, which is represented by the fraction 3/4. This means that three-quarters of her garden is now planted. The other fractions are incorrect because they do not show the correct amount of her garden that has been planted.

Lucia picked some bluebonnets from a field in Texas to create a bouquet for her teacher. She picked 1/2 of the bluebonnets for her bouquet. If she picked a total of 8 bluebonnets, how many bluebonnets did she use for her bouquet?

1. 4 ✓
2. 2
3. 6
4. 8

Why: To find out how many bluebonnets Lucia used for her bouquet, you need to calculate 1/2 of the 8 bluebonnets she picked. 1/2 of 8 is 8 ÷ 2, which equals 4. Therefore, Lucia used 4 bluebonnets for her bouquet.

Roberto is making BBQ brisket for his family's cookout in Texas. He needs to place markers for the fractions of the brisket that he will cut. If he marks a point on the number line that represents 1/2, what fraction is equivalent to that on a number line with a denominator of 4?

1. 2/4 ✓
2. 1/4
3. 3/4
4. 4/4

Why: The fraction 1/2 is equivalent to 2/4 because if you divide a whole into 4 equal parts, 2 of those parts make up half of the whole. Therefore, the correct answer is 2/4.