Perimeter and area — Study Path Agent

Chapter 1

Core measurement ideas (units, formulas, and reasoning)

1

Measurement units: length vs area units (cm vs cm²)

2

Unit conversion for length and area (including square-unit conversions)

3

Reading dimensions correctly (what each number represents)

4

Formula meaning: why formulas work (not just memorizing)

5

Precision & rounding in measurement word problems

6

Estimating and checking reasonableness of results

Chapter 2

Perimeter fundamentals

7

Perimeter as “distance around” (tracing and counting units)

8

Perimeter of rectangles and squares (P = 2l + 2w)

9

Perimeter of polygons by adding side lengths

10

Finding a missing side length from a given perimeter

11

Perimeter with decimals and fractions (mixed numbers)

12

Circle perimeter (circumference): C = 2πr = πd

Chapter 3

Area fundamentals

13

Area as “number of square units” (tiling on grids)

14

Area of rectangles and squares (A = l × w)

15

Area of triangles (A = 1/2 × b × h)

16

Area of parallelograms and trapezoids (base–height reasoning)

17

Area of circles: A = πr²

18

Working with area in decimals, fractions, and mixed units

Chapter 4

Shapes and composite figures

19

Composite perimeter (figures with “indentations”)

20

Composite area by subtraction (cutouts/holes)

21

Interpreting “same perimeter, different area” and “same area, different perimeter”

Chapter 5

Coordinate geometry & scale

22

Distance on the coordinate plane (horizontal/vertical and simple diagonal)

23

Scale drawings and maps: scale factor effects on perimeter

24

Unit rate and “per square unit” interpretations (cost per ft², etc.)

Chapter 6

Applications and problem-solving

25

Real-world contexts: fencing vs flooring (choosing perimeter vs area)