I'll solve this problem by identifying the fractions represented by each model and then circling the equivalent fractions.
Let me start by examining each row of models one by one.
First Row:
- First model: A rectangle divided into 2 equal parts, with 1 part shaded. This represents 1/2.
- Second model: A square divided into 4 equal parts, with 2 parts shaded. This represents 2/4.
- Third model: A rectangle divided into 4 equal parts, with 2 parts shaded. This represents 2/4.
Second Row:
- First model: A circle divided into 3 equal parts, with 2 parts shaded. This represents 2/3.
- Second model: A circle divided into 6 equal parts, with 2 parts shaded. This represents 2/6.
- Third model: A circle divided into 3 equal parts, with 1 part shaded. This represents 1/3.
Third Row:
- First model: A circle divided into 2 equal parts, with 1 part shaded. This represents 1/2.
- Second model: A circle divided into 6 equal parts, with 3 parts shaded. This represents 3/6.
- Third model: A circle divided into 4 equal parts, with 2 parts shaded. This represents 2/4.
Now I need to identify which fractions are equivalent:
- In the first row: 1/2 = 2/4 (since 2/4 simplifies to 1/2), so the first and second models are equivalent, and the first and third models are equivalent.
- In the second row: 2/3, 2/6, and 1/3 are all different. 2/6 simplifies to 1/3, so the second and third models are equivalent.
- In the third row: 1/2 = 3/6 (since 3/6 simplifies to 1/2) and 1/2 = 2/4 (since 2/4 simplifies to 1/2), so all three models are equivalent.
The solution is to circle the equivalent fractions in each row.
For the first row, circle the first and second fractions (1/2 and 2/4) and also the first and third fractions (1/2 and 2/4).
For the second row, circle the second and third fractions (2/6 and 1/3).
For the third row, circle all three fractions (1/2, 3/6, and 2/4) since they are all equivalent.
This completes the task of identifying equivalent fractions.
Parent Tip: Review the logic above to help your child master the concept of common core fractions grade 4 worksheet.