Math Drills · Grade 4 (Elementary School)

Investigating Patterns of Change

18 free maths worksheets for “Investigating Patterns of Change” in Grade 4 (Elementary School). Download the question and answer PDFs and print them, no sign-up needed.

Worksheets
Investigating Patterns of Change

What this unit covers

Two changing quantities are laid out in a table and their relationship is written as an expression. Starting from Constant Sum and Constant Difference, the unit follows growing figure sequences such as Connected Triangles and Sticks, relationships that double and triple as in Price Type, and Simple Percentage.

In Connected Triangles, miscounting how many sticks each new shape adds leads to setting up 3 × □. Looking at the difference between the second and third entries in the table makes clear whether the step is 2 or 3. Confusing Constant Sum with Constant Difference, and writing the sum where the difference belongs, also happens.

Line Graphs and Tables asked only for two quantities to be laid side by side and read off. From here the focus turns to the change itself, how one number moves as the other does. This way of watching a pattern gets applied in grade 5, in Patterns of Change, to arrangements as intricate as a sequence of figures.

Learning steps

  1. Constant Sum or DifferenceConstant SumConstant Difference
  2. Changing by the Same AmountWord Problem TypeConnected TrianglesConnected SquaresSticks
  3. Change by 2× and 3×Price TypePerimeter of SquaresPerimeter of Triangles
  4. Simple PercentageSimple Percentage

Worksheets

Constant Sum or Difference

Constant Sum or Difference3

Word Problems

  • Constant Sum1 question
  • Constant Difference1 question

Changing by the Same Amount

Changing by the Same Amount3

Word Problems (Text Type, Square Type)

  • Word Problem Type1 question
  • Connected Squares1 question
Changing by the Same Amount3

Word Problems (Triangle, Stick Types)

  • Connected Triangles1 question
  • Sticks1 question

Change by 2× and 3×

Change by 2× and 3×3

Word Problems (Price Type)

  • Price Type2 questions
Change by 2× and 3×3

Word Problems (Perimeter Type)

  • Perimeter of Squares1 question
  • Perimeter of Triangles1 question

Simple Percentage

Simple Percentage3

Word Problems

  • Simple Percentage5 questions

Frequently asked questions

What do the “Investigating Patterns of Change” worksheets for Grade 4 (Elementary School) practice?
They cover problems such as Constant Sum, Constant Difference, Word Problem Type, Connected Triangles, Connected Squares, Sticks, Price Type, Perimeter of Squares.
How many “Investigating Patterns of Change” worksheets are there for Grade 4 (Elementary School)?
18 worksheets are free to use. Every one is a printable PDF and comes with an answer key.

More questions

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