Fourth graders are given this word problem to understand multiplication, though division can be used. This task is formatted as a graphic organizer, with a space for the problem, mathematical practice and vocabulary, claim, evidence, and warrants. Students are to use the graphic organizer to formulate their thoughts and construct an argument to complete the problem.
Microsoft Word version: 4_OA_Multiplication_ArgumentFrame_Construct
PDF version: 4_OA_Multiplication_ArgumentFrame_Construct
Running a Race is a task designed for fourth graders working on multiplying fractions by a whole number. The task is an application problem that asks students to compare which answer will be larger. Skills necessary to complete this task sufficiently may include multiplying a fraction by a whole number, finding common denominators, and comparing fractions. Students are asked to make a claim and support it with an explanation.
Microsoft Word version: 4_NF_FractionsMultiplication_Problem_Critique_RunningARace
PDF version: 4_NF_FractionsMultiplication_Problem_Critique_RunningARace
Lemonade is a task for fourth-grade students learning how to multiply fractions, specifically a mixed number in this problem. Two responses are given as to how many lemons are needed, but no work is shown as to how an answer was determined. Through argumentative language, students are asked to critique given responses, provide evidence, and explain their thinking.
Microsoft Word version: 4_NF_FractionsMultiplication_Problem_Critique_Lemonade
PDF version: 4_NF_FractionsMultiplication_Problem_Critique_Lemonade
This task was used with fourth graders to develop reasoning skills with multiplication of a fraction and a whole number. It also requires students to solve a two-step problem by comparing their solution to data given in the problem.
Microsoft Word version: 4_NF_FractionsMultiplication_Problem_Critique_HeightOfSunflowers
PDF version: 4_NF_FractionsMultiplication_Problem_Critique_HeightOfSunflowers
This task was used with fourth graders. It requires students to understand the meaning of multiplication in relation to the value of the factors. The task emphasizes fractional number sense and the relationship of a fraction to 1.
Microsoft Word version: 4_NF_FractionsMultiplication_Problem_Critique_ComparingProducts
PDF version: 4_NF_FractionsMultiplication_Problem_Critique_ComparingProducts
This multi-digit multiplication task was used with fourth-grade students. Students are asked to critique a statement on if two numbers multiplied together are equal to two numbers added together. After an initial conjecture, students share their ideas with a partner and identify similarities and differences between the two arguments. This task contains argumentative language, including claim and evidence.
Microsoft Word version: 4_NBT_Multiplication_ThinkPairShare_Critique_1
PDF version: 4_NBT_Multiplication_ThinkPairShare_Critique_1
This task is designed as a think-pair-share. It sets a multiplication expression equal to an addition expression and asks students to agree or disagree about the equality. Fourth grade students are given a template to state a claim, and explain it, then compare arguments. This task can be used to open a class discussion about different ways to think about double digit multiplication. Students can look at 10×24 as (10×20)+(10×4) which would show the comparison between 10×24 and 200+40 nicely.
Microsoft Word version: 4_NBT_Multiplication_ThinkPairShare_Critique
PDF version: 4_NBT_Multiplication_ThinkPairShare_Critique
This task is designed for third grade studenrs learning applications of single digit multiplication. Students are given an application along with a student response and asked to critique the student response. The task uses argumentation language by first asking students to solve the problem, then having students state a claim and provide evidence to support the claim. The task provides space for each piece of the argument.
Microsoft Word version: 3_OA_MultiplicationSingleDigit_Problem_Critique
PDF version: 3_OA_MultiplicationSingleDigit_Problem_Critique
In Art Supplies, third graders are given a single-digit multiplication word problem. Students must critique the two given responses, which address the misconception that the number of boxes and the amount in each box should be added together and not multiplied. A graphic organizer is provided and contains argumentative language to help students create their claim and provide evidence and warrants.
Microsoft Word version: 3_OA_MultiplicationSingleDigit_Problem_Critique_ArtSupplies
PDF version: 3_OA_MultiplicationSingleDigit_Problem_Critique_ArtSupplies
Ice Cream Sundaes is geared towards third graders developing multiplication skills. This task asks students to find the total number of possible combinations of two separate entities. Students must construct an argument and are given space to provide work and space to explain thinking. This problem can open the class to conversations about methods to solve the problem because students can do the math (single digit multiplication), draw pictures, or create a diagram.
Microsoft Word version: 3_OA_MultiplicationSingleDigit_Problem_Construct_IceCreamSundaes
PDF version: 3_OA_MultiplicationSingleDigit_Problem_Construct_IceCreamSundaes