Big Ideas: Multiplication Lesson Plan

Example. Solving equations using reasoning and prior knowledge allow students to develop effective reasoning strategies. Through reasoning students gain confidence and conceptual understanding that help them connect ideas to the real world. Let us say that Roberta had 26 papers in her desk. The teacher gave her some more papers and now she has 104. How many papers did her teacher give her?

To display this scenario, when children see the equation (6= __ + 4) they are triggered to find the answer to solve the problem, which is correct. However, when using the same concept on the multistep equation (3+x=5+2x) children assume that they are going to solve the equation, but they do not realize that the two equations are actually equal to each other because the “X” equals the same thing on both sides. This sample proves that this tactic that teachers are teaching expires in certain scenarios. With that being said, the main purpose of this article is for teachers to be aware of these rules that they are teaching in the classroom, because they are expiring and not useful to the student when they participate in higher level education.

2. Solve addition and substation word problems and add and subtract with 10, e.g., by using objects or drawing to represent the problem.

Today we will be learning about place value. When we divide numbers with three and four digits by a one digit number, the quotient doesn’t always go about the first number in the dividend like we saw yesterday. This is important to know because if you had to split $100 with your sister and you divided $100 by 2 and placed the 5 above the 1, then added two zeros, you would have to pay your sister $500. That’s not dividing, or fair. Remember we need to know how to divide so you can evenly split something, like money.”

He can convert improper fractions to a mixed number with 57% accuracy and convert mixed numbers to improper fractions with 80% accuracy. John can simplify a fraction with 92% accuracy. However, he does not always simplify his answer, instead he stops with his answer rather than seeing if it can be simplified. He can add and subtract fractions with 88% accuracy. He can multiply a fraction by a fraction with 14% accuracy and by a whole number with 90% accuracy. He can divide a fraction by a whole number and a whole number by a fraction with 89% accuracy. He needs to be able to simplify fractions when computing with fractions. He needs to be able to add, subtract, multiply, and divide fractions. He needs to identify the correct operation to solve a word problem. He needs to be able to solve one-step and multi-step word problems involving all 4 operations (addition, subtraction, multiplication, and division) of whole numbers and fractions. John’s weaknesses in math impact his ability to solve multi-step word problems, which is expected in 5th

As a class, students identify the fractions on the rest of the five cards and determine to which box each card belongs. The teacher discusses with the students the possible reasons for their

will be provided to the students to test their understanding. After it, the solutions are also

The teacher will explain to students the meaning of why they need to know numbers.

The author explains how many students, especially those in the focused-upon second grade class, have difficulty explaining their “mathematical thinking process”. While they may provide correct answers using memorized calculations, they are unable to demonstrate their conceptual understandings or explain how they achieved the right results. As stated by the researcher, “it is important for students to be able to demonstrate their mathematical thinking as well as their method of solving a problem” (Kostos & Shin, 2010, p.223).

way. It is hard for the teacher to get into solving these issues because often they are

equation? It is the teacher?s role to give students the opportunity to learn a topic, and it is

Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.

Multiplication by ten gives students opportunity to explore larger numbers, and can also be extended on(Reys et al. ch. 11.4). In addition, multiples of 10 give students the knowledge that all digits move left one place and an additional place hundreths. This concept can be used to introduce the decimal place which is also moving place each time something is multiplied by tens. Exposing students to a range of examples which displays patterns that occur when multiplying by tens and hundreths will generate meaning of digits moving place (Reys et al., ch. 11.4).

Based on several studies, one of the best ways to understand mathematical ideas and apply these ideas is through the use of manipulatives. Students explore these manipulatives, however, it is important that they make their own observations. The teacher then should model and show how to use the materials and explain the link of these materials to the mathematical concept being taught. Schweyer (2000) stated that students learn best when they are active participants in the learning process where they are given the opportunity to explore, assimilate knowledge and discuss their discoveries.

The lack of adopted curriculum also means that most, if not all, teachers are supplementing both materials and instructional routines. These students need to pass the state-mandated Smarter Balanced Assessment (SBA) which requires completion of a problem-solving performance task. Students need to know which operation(s) to use (addition, subtraction, multiplication, and/or division) and how to apply them appropriately. This problem has