This fifth-grade lesson explores the area of a rectangle with fractional side lengths. We tile the rectangle with unit rectangles and show that the area is the same as would be found by multiplying the side lengths. We multiply fractional side lengths to find areas of rectangles.

Brush up on your math skills relating to the area of parallelograms then try some practice problems to test your understanding.

Brush up on your math skills relating to the area of rhombuses then try some practice problems to test your understanding.

Brush up on your math skills relating to the area of trapezoids then try some practice problems to test your understanding.

Brush up on your math skills relating to the area of triangles then try some practice problems to test your understanding.

Brush up on your math skills relating to perimeter then try some practice problems to test your understanding.

The interactive applet allows learners to explore the relationships between side length, area, and perimeter. Students see how changes in the scale factor influence the ratio of areas and perimeters. [Requires Java.]

Watch a student think through a problem about how the area of a rectangle changes when both sides are increased by the same scale factor and use online tools to demonstrate understanding of concepts related to area and scale factors in this interactive from KET. Students use the Notes tool to respond to the video. They then complete a Visualize It! activity, a quiz, and a Chart It! activity to demonstrate their learning.

Working as a team, students discover that the value of pi (3.1415926...) is a constant and applies to all different sized circles. The team builds a basic robot and programs it to travel in a circular motion. A marker attached to the robot chassis draws a circle on the ground as the robot travels the programmed circular path. Students measure the circle's circumference and diameter and calculate pi by dividing the circumference by the diameter. They discover the pi and circumference relationship; the circumference of a circle divided by the diameter is the value of pi.

In this lesson, students students explore locomotor and non-locomotor movement and calculate the area needed to perform the African-American dance Zudio.

This QuickTime movie presents a problem to find the area of a multi-sided shape that requires an extended response. The teacher and student discuss how to work through it together to find the solution. As you watch and listen to the teacher and student interact it helps clarify the thinking behind applying this concept.

This QuickTime movie explains how to find the area of a rectangle by using Pick's formula and then demonstrates this by showing how to use that area formula. As you watch and listen to the teacher and student interact it helps clarify the thinking behind applying this concept.

This QuickTime movie explains how to find the area of a rectangle. As you watch and listen to the teacher and student interact it helps clarify the thinking behind applying this concept.

Algebraic Reasoning

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Add, subtract, multiply, and divide rational numbers.
Evaluate expressions for a value of a variable.
Use the distributive property to generate equivalent expressions including combining like terms.
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true?
Write and solve equations of the form x+p=q and px=q for cases in which p, q, and x are non-negative rational numbers.
Understand and graph solutions to inequalities x<c or x>c.
Use equations, tables, and graphs to represent the relationship between two variables.
Relate fractions, decimals, and percents.
Solve percent problems included those involving percent of increase or percent of decrease.

Lesson Flow

This unit covers all of the Common Core State Standards for Expressions and Equations in Grade 7. Students extend what they learned in Grade 6 about evaluating expressions and using properties to write equivalent expressions. They write, evaluate, and simplify expressions that now contain both positive and negative rational numbers. They write algebraic expressions for problem situations and discuss how different equivalent expressions can be used to represent different ways of solving the same problem. They make connections between various forms of rational numbers. Students apply what they learned in Grade 6 about solving equations such as x+2=6 or 3x=12 to solving equations such as 3x+6=12 and 3(x−2)=12. Students solve these equations using formal algebraic methods. The numbers in these equations can now be rational numbers. They use estimation and mental math to estimate solutions. They learn how solving linear inequalities differs from solving linear equations and then they solve and graph linear inequalities such as −3x+4<12. Students use inequalities to solve real-world problems, solving the problem first by arithmetic and then by writing and solving an inequality. They see that the solution of the algebraic inequality may differ from the solution to the problem.

Students write expressions for geometric situations. They examine how different equivalent expressions can show different ways of thinking about the same problem.Key ConceptsStudents use their previous knowledge of how to find the perimeter and area of squares and rectangles. They write algebraic expressions for the perimeter and area of geometric figures. They examine how equivalent expressions, used to represent a problem situation, give clues to the approach the writer of the expression used to solve the problem. In the Challenge Problem, they use the distributive property to find the solution.ELL: For ELLs, access prior knowledge by writing the words area and perimeter on the board. Have students create concept maps associated with area and perimeter. Record students' responses on large poster paper that you can display in the room. The goal is to generate a list of words that students can use as a reference.Goals and Learning ObjectivesAccess prior knowledge of how to find the perimeter and area of squares and rectangles.Write algebraic expressions for finding perimeter or area of figures.Identify equivalent expressions.

This multimedia Learn Alberta math resource looks at area and perimeter and how math is involved in the operations of a ranch. The accompanying interactive component lets students investigate a variety of rectangles to get a target perimeter and area. Be sure to follow the link to the printable activity included to reinforce target skills.

This tutorial provides a brief introduction about what area is, then gives the formulas for area of a square, rectangle, parallelogram, trapezoid, triangle, and circle. Examples of each formula are provided.

Math variety of concepts, this colorful website is sure to give your students the chance show what they know. Concepts covered include rounding, division with decimals, order of operations, ratio, percent, multiplication, and division of fractions, simplifying fractions, and more. Not an interactive site, but great practice activities.

This is a "three star" geometry problem where prior math problem skills and proof experience is recommended. Tile constructions may be used to solve this perimeter and area problem.