Students will collaboratively solve two-step real-world word multiplication and division problems by using a checklist.  Students will also solve a two-step word problem by completing a hands-on group activity. 
 

The students will engage in group activities to solve word problems with and without models as well as writing equations.

To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.

The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.

Students will use strategies to break down steps in a word problem, allowing for an understanding of the vocabulary and processes necessary, to apply correct math operations, maintain correct place value, and analyze solution feasibility.

Students will gather data based on a game and create the four types of graphs (pictograph, frequency table, bar graph, and dot plot).

Students Working

Students will solve one-step multiplication problems using concrete objects, pictorial models, arrays, and equal groups.

Students will create planters that meet specific perimeter dimensions. The students will need to determine the number of sides and the perimeter for their planter.

Students will utilize manipulatives to create concrete and pictorial strip diagram representations in order to solve multi-step multiplication and division word problems.

This lesson focuses on multi-step word problems involving division along with addition or subtraction. The students chunk word problems into each individual step and learn how to choose a familiar strategy.

Students will learn how to use an input-output table using real-world examples.

Students will construct a dot plot using data collected on the faces of a cube after it is rolled. Students will then use a key to change the data to represent a larger population.

Texas Essential Knowledge and Skills (TEKS) Vertical Alignment

Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.

Using a pet store theme, students will work in groups to solve real-world problems to grasp the concept of multi-step multiplication and division word problems.
 

Students will solve one-step multiplication problems using various multiplication strategies such as objects, pictorial models, arrays, equal groups, repeated addition, and number lines.

Texas Essential Knowledge and Skills (TEKS) Vertical Alignment

Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.

Students break an array apart to represent the sum of two multiplication facts, showing the distributive property.

Texas Essential Knowledge and Skills (TEKS) Related to the Unit

As we looked at the vertical alignment document available to teachers through the Texas Education Agency and regional TEKS resource pages, it became evident why students struggle with this standard. The skills and knowledge within this standard are not addressed in the second-grade TEKS. Students are also required to use multiple skills to correctly calculate the answer using the distributive property. The chosen standard is identified as a third-grade readiness standard, which means that the intent is to help students develop a deep understanding of how to effectively use these skills in mathematics. This deep understanding is desired to help students at the fourth-grade level since the standard is identified as a supporting standard.

Click below to learn about the TEKS related to this unit. 

Students will discuss and formulate an equation to solve an engaging real-world problem. They will use manipulatives to describe how to find the common denominator they need to solve the equation. They will break up into groups and solve for a more complicated problem.

Texas Essential Knowledge and Skills (TEKS) Vertical Alignment

Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.

Students will work in cooperative groups to confidently solve one and two-step multiplication and division problems up to 100 using arrays, strip diagrams, and equations.

In this activity, students will consider a real-world scenario requiring them to compare two fractional amounts using a number line. Through the use of the number line and peer collaboration, students will recognize equivalency in the two fractional quantities and effectively communicate their understanding of this concept.