Grade 3 - Algebraic Reasoning Unit
Standards covered:
- 3.5 Algebraic reasoning
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3.5A
Represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, such as strip diagrams and number lines, and equations.
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3.5B
Represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations.
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3.5C
Describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24.
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3.5D
Determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product such as the value 4 makes 3 x [ ] = 12 a true equation.
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3.5E
Represent real-world relationships using number pairs in a table and verbal descriptions.
The Algebraic Reasoning Unit involves analyzing numerical patterns and the relationships between addition and subtraction; multiplication and division in order to answer questions such as:
- What models can be used to represent addition and subtraction situations?
- What models can be used to represent multiplication and division situations?
- Given a multiplication or division situation, how can you generate an equation in which the unknown is either a missing factor or a missing product?
- Given an equation with a missing factor or a missing product, how can you create a situation to match it?
- How can a table of real-world number pairs help to generate multiplication or division equations to represent the relationships in the table?
Summative Assessment Task
Students determine the number of pennies in a pail and how many rolls can be made for the bank.
Instructional Tasks/Formative Assessments
Students determine if Benny has enough bricks to make a step at the end of a walkway, and how much he spends to buy all the necessary bricks.
Given the numbers of insects eaten by a lizard and a frog on day one, students determine how many insects the lizard eats on day five. Then, students determine on what day the frog will have eaten the same number of insects as the lizard.
Students determine how old, in dog years, a dog will be when his owner is 12 years old.
Students determine how many jumps it will take each of three frogs to go 36 feet.
Students determine how many days Mary has to sell popcorn to make $1.80 from the popcorn sales.
Students determine how many peas go into a "magic pot" of soup.
Students determine how much flour and eggs are needed to make some cakes.
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