Tiling and Multiplying to Find Area Worksheet

About the "Tiling and Multiplying to Find Area" Worksheet

Tiling and Multiplying to Find Area is an innovative mathematics worksheet that combines computational skills with visual representation to reinforce the concept of area calculation. This interactive and printable worksheet presents five rectangular shapes with given dimensions in centimeters. Students are first challenged to calculate the area of each rectangle by multiplying its side lengths, encouraging them to apply the fundamental area formula for rectangles.

After calculating the areas, the worksheet takes a unique approach by asking students to complete the tiling of each rectangle. This visual confirmation method allows students to check their multiplication-based answers against a concrete representation of the area. By incorporating both numerical calculation and physical representation, the worksheet caters to different learning styles and helps solidify the connection between abstract mathematical concepts and their real-world applications. The emphasis on including units in the answers further reinforces the practical aspect of area measurement, preparing students for real-world problem-solving scenarios.

What will your child learn through this worksheet?

Calculation of rectangular area using the length-width multiplication method
Visual verification of area calculations through tiling
Importance of including units in measurement-based answers
Relationship between numerical calculations and physical representations of area

Learning Outcomes

Cognitive

Students will accurately calculate the area of at least 4 out of 5 rectangles using multiplication
Students will demonstrate understanding of area by correctly tiling all given rectangles

Psychomotor

Students will practice fine motor skills by drawing tiles to complete the rectangles
Students will improve their ability to write numerical answers and units clearly in designated spaces

Affective

Students will develop confidence in their ability to calculate and verify areas independently
Students will show increased interest in exploring the connection between mathematical concepts and visual representations

Interpersonal/Social

Students will engage in peer discussions to compare calculation methods and tiling strategies
Students will collaborate in group activities to solve more complex area problems using similar techniques

Common Core Standards Covered

3.MD.C.7.a

Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

3.MD.C.7.b

Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.

3.MD.C.7.c

Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.