Content Area: Math

 

Index: 4.3B Grade 2 CPI 1

 

Standard: 4.3 - Patterns and Algebra

 

Strand: B - Functions and Relationships

 

Cumulative Progress Indicator: 1 -  The student will use concrete and pictorial models of function machines to explore the basic concept of a function.

 

Grade: 2

 

Sample Activities:

 

·        Students study the pictures in Anno's Math Games II by Mitsumasa Anno. As they do, they try to figure out what happens to the objects as the elves put them into the magic machine. Sometimes the number of objects doubles, sometimes the objects grow eyes, and sometimes the objects turn into circles.

 

·        Students put numbers into Max the Magic Math Machine and read what comes out. (The teacher acts as Max.) Then they describe what Max is doing to each number. The teacher pays careful attention to the students' responses to assess their levels of understanding.

 

·        Students investigate a hole-making machine that puts 4 holes into buttons. They make a table that shows the number of buttons put into the machine and the total number of holes that must be made in them. Then they write a sentence that describes how the total number of holes changes as new buttons are added.

 

·        Students play Guess my Rule. The teacher gives them a starting number and the result after using the rule. She continues giving examples until students discover the rule.

 

·        Students count the number of pennies (or nickels) in 1 dime, 2 dimes, 3 dimes and record their results in chart form. They study the patterns and discuss the rules observed.

 

·        Students consider the cost of two or three candies if one candy costs one dime. They make a chart using the information.

 

·        Students count the number of lifesavers in an assorted pack. They make a table showing the number of each color and the total number in one pack. Then, assuming all of the packs are the same, they make a table showing the total number of each color for 2 packs, 3 packs, 4 packs, and so on. They check their results with packs of lifesavers, which in general, have the same number of each color.

 

Kidspiration Activity:

 

·        Use symbols and links to create a pictorial model of a function.