Applets & Apps
Objectives, content, and relationships
In "Hopping on the Number Line" for 3-5 grade students, students will see the number line model to find sums. They will also use the commutative property of addition and solve and create puzzles using their own words on a number line. On how many more for K-2 students, the objective is to find differences in sets by comparing them. They will also review the words addend and difference, as well as exploring effects of subtracting 0 and all numbers from the first number. Students will be able to record differences in pictures, words, and symbols by the end of the lesson.
How the Applet operates
For the "Hopping on the Number Line" for grades 3-5, students will use the number line model to create sums with two given numbers. The model of the number line shows the aspect of addition and is a representation of numbers. They start with the first addend and add the second one onto that. Or, in the case of subtraction, they start with the bigger number and they count backwards on the number line with the smaller number. They will also be introduced to the commutative property in this lesson because they will learn that one addition fact forward is the same thing backwards. They may be given two factors to add and they will be expected to add them. If given asked to apply the commutative property, they would be expected to know to flip the initial equation around. This goes for addition and multiplication.
For "How Many More?" for grades K-2, students will be expected to subtract problems and model them with goldfish crackers. They will communicate what they find by using words and pictures, as well as record differences in words and symbols. The additive identity will be shown when comparing equal sets.
Benefits and challenges for classroom
A benefit of "Hopping on the Number Line" is having a visual representation of the number line as well as demonstrating the addition or multiplication within the number line to be seen as real numbers applied to real life instead of numbers on paper. Benefits to "How Many More?" for K-2 graders is that it gives a visual to addition. It allows them to see a visual that they can create and one that is provided and they can put their numbers on the chart.
Challenges for "Hopping on the Number Line" are that the number line is limited. For multiplication on a number line, the numbers have to stay small so students can go up by either 2, 3, or 4 from a given number. If then number line only goes up to 10, the students will not be able to multiply 4x5. Also, with addition, students will not only be able to add a limited amount if the number line only goes up to 10. A mini lesson on number lines by 2's, 5's, or 10's may need to be included if students are expected to add or multiply numbers larger than the 10.
Challenges for "How Many More?" include having to solve story problems. Some students may not be ready to solve story problems because they won't know which order to put the numbers in or they will not be ready to read them fully.
K-2 How Many More? https://illuminations.nctm.org/Lesson.aspx?id=435
3-5 Hopping on the Number Line http://illuminations.nctm.org/Lesson.aspx?id=355
In "Hopping on the Number Line" for 3-5 grade students, students will see the number line model to find sums. They will also use the commutative property of addition and solve and create puzzles using their own words on a number line. On how many more for K-2 students, the objective is to find differences in sets by comparing them. They will also review the words addend and difference, as well as exploring effects of subtracting 0 and all numbers from the first number. Students will be able to record differences in pictures, words, and symbols by the end of the lesson.
How the Applet operates
For the "Hopping on the Number Line" for grades 3-5, students will use the number line model to create sums with two given numbers. The model of the number line shows the aspect of addition and is a representation of numbers. They start with the first addend and add the second one onto that. Or, in the case of subtraction, they start with the bigger number and they count backwards on the number line with the smaller number. They will also be introduced to the commutative property in this lesson because they will learn that one addition fact forward is the same thing backwards. They may be given two factors to add and they will be expected to add them. If given asked to apply the commutative property, they would be expected to know to flip the initial equation around. This goes for addition and multiplication.
For "How Many More?" for grades K-2, students will be expected to subtract problems and model them with goldfish crackers. They will communicate what they find by using words and pictures, as well as record differences in words and symbols. The additive identity will be shown when comparing equal sets.
Benefits and challenges for classroom
A benefit of "Hopping on the Number Line" is having a visual representation of the number line as well as demonstrating the addition or multiplication within the number line to be seen as real numbers applied to real life instead of numbers on paper. Benefits to "How Many More?" for K-2 graders is that it gives a visual to addition. It allows them to see a visual that they can create and one that is provided and they can put their numbers on the chart.
Challenges for "Hopping on the Number Line" are that the number line is limited. For multiplication on a number line, the numbers have to stay small so students can go up by either 2, 3, or 4 from a given number. If then number line only goes up to 10, the students will not be able to multiply 4x5. Also, with addition, students will not only be able to add a limited amount if the number line only goes up to 10. A mini lesson on number lines by 2's, 5's, or 10's may need to be included if students are expected to add or multiply numbers larger than the 10.
Challenges for "How Many More?" include having to solve story problems. Some students may not be ready to solve story problems because they won't know which order to put the numbers in or they will not be ready to read them fully.
K-2 How Many More? https://illuminations.nctm.org/Lesson.aspx?id=435
3-5 Hopping on the Number Line http://illuminations.nctm.org/Lesson.aspx?id=355
You are suppose to have two different applets?
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