A Fractions Lesson Plan Built on Visual Models, Grades 4-5

A good fractions sequence for Grades 4-5 starts with the whole, not with the numbers. Students decide what the whole is and whether the parts are equal, and only then name, compare and share. The plan below runs about seven lessons and is based on the five learning paths in our visual-models fractions unit. Each topic lesson fits a 35-minute block.

The order and why it works

The Fractions with Visual Models unit has five paths: wholes and equal parts, numerator and denominator, comparing fractions, fractions in daily life, and sharing fairly. The order matters because each path uses the idea before it. Comparing needs equal-sized wholes. Sharing fairly needs students to see that unlike shapes can have the same area.

You can teach single paths on their own, and the teacher guide says to allow about 5 to 8 lessons in total.

Materials for the whole sequence

• Pencils, rulers and plain paper for drawing circles and rectangles
• Strips of paper cut to exactly the same length, at least four per student
• Two paper loaves (rectangles) per group of three for the last path
• Sentence starters and word cards for students who need them

Lessons 1 to 5

Across all five lessons, keep one routine fixed: students draw before they write. A drawing of the whole with its parts shows you in seconds whether the idea is secure, and it is much easier to respond to than a number on its own. If a drawing has unequal parts, stop and ask whether the parts can be named the same.

It also helps to keep a class chart of key sentences, such as the denominator tells how many equal parts make the whole, so students can borrow the wording when they explain.

Lessons 1 and 2: equal parts, then the two numbers

Open each lesson with the illustration, title covered. Students write two things they see and one question. Spend the 20-minute work period on the explanation and Task A.

In lesson 1, Task A asks students to draw two circles, one split into four equal parts and one into four unequal parts. The sample answer is that a fourth means one of four equal parts. Ask which circle shows fourths, and make students say why.

In lesson 2 they shade 2/3 and 3/5 in rectangles and explain what each number means. The denominator tells how many equal parts make the whole, and the numerator counts the selected parts. Students who write "two out of three" are on track.

Lesson 3: comparing with strips

The explanation says that with the same denominator, more shaded parts mean a greater fraction, and with different denominators students should use equal-sized wholes or a visual model. Task A has them compare 1/2, 1/4 and 3/4 using strips of the same length. The expected order is 1/4 < 1/2 < 3/4.

Use the last ten minutes to test the worked examples: 3/8 is greater than 1/8, and 1/2 equals 2/4. Ask students to show the second one by folding. This work sits closest to the Common Core idea in 4.NF.A.2 of comparing fractions by reasoning about their size, though the unit does not claim alignment.

Lessons 4 and 5: daily life and fair sharing

Lesson 4 stresses one rule: always decide what the whole is. Half an hour is 30 minutes, but half a cake and half a liter are different wholes. Task A asks for three situations involving a half or a quarter.

Lesson 5 is the most open one. Three children share two identical loaves. The sample answer is that each child gets 2/3 of a loaf. Let groups find their own method before you show any. The explanation notes that pieces can have different shapes and still have the same area, so expect and praise differently cut solutions.

Lessons 6 and 7: project and check

For the project, each student chooses one path and makes an explanation for another student: a heading, two examples and a question of their own. The guide gives five criteria: accurate terms, examples explained well, a meaningful question, readable layout with a useful image, and feedback applied.

The learning check follows in lesson 7. Students explain each of the five ideas in one sentence with an example and choose one topic to practice. The guide recommends using it for feedback rather than a grade and planning a short follow-up around recurring questions.

Adding practice around the sequence

If your students need daily fluency work next to the lessons, the Grade 4 math warm-up worksheets give short printable activities at a low cost.

For a wider plan, the Explorer bundle includes this unit with three others.

Full contents are on the unit page.

Related reading from the Teacher Hub

• How to Teach Area and Perimeter in Grades 3–5 Without Mix-Ups
• How to Teach Sample Space and Events with Dice in Grades 5–7