Grade 4 - Algebraic Reasoning Unit

Standards covered:

  • 4.4 Number and operations
    • 4.4A

      Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.

  • 4.5 Algebraic reasoning
    • 4.5A

      Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.

    • 4.5B

      Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.

The Algebraic Reasoning Unit involves developing an understanding of expressions and equations to answer questions such as:

  • How can you use equation(s) to represent this story problem? What do the variables in your equation(s) represent?
  • How does a table help to identify the relationship(s) between real-life paired numbers? Can you come up with a rule to describe this relationship? Explain.
  • How might an expression be used describe the relationships in your table? How can you use the expression to extend the number pattern in your table?

Find tasks by units of study

Select Units and Find Tasks By Standard

N/A: Denotes standards that are not applicable to problem solving.

The N/A classification refers to TEKS Standards that cannot be assessed through problem solving.

For this reason, tasks have not been included for these particular standards.

K.7A K.7B K.9B K.9C K.9D

Summative Assessment Task

Students determine how many boxes of tile Mrs. Garcia needs to put a tile border along one side of her kitchen wall.

Instructional Tasks/Formative Assessments

Students determine how many packages of twelve crayon boxes the class needs for a year.

Students determine how many loads of bricks Carlos needs to buy to repair a brick sidewalk.

Given a recipe, students determine how many eggs and cups of milk Mrs. Tanner needs to make large muffins for all the students in her class.

Students determine how many blocks Allen will need to build 2 block towers.

Students continue a pattern to determine how many birds Tyler will see at the bird feeder on the 10th day.

Students determine how much money the class needs to earn to go on a field trip to the aquarium.

Students determine how many cookies Mrs. Ruben bakes for her class of 24 students.

Students determine how much Sheryl will pay for two shirt and a jacket at a clothing store sale.

Given a cost per pair of skateboard wheels, students determine how much money is needed to buy 846 skateboard wheels.

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