Math+Enrichment+Lesson+Plans,+Fall

=Ideas for Math Enrichment Group:=

Mini-lessons and activities for students who are really struggling with number sense.

>> Okay, I gave him 5. Now I'm going to give fewer raisins to Sienna. How many should I give her? >> Okay, now I'm going to give Taylor more raisins than Sienna has. How many should I give him?" >> Once everyone has raisins, figure out how many raisins there are altogether and how many groups of raisins.
 * count collections (of cubes, digi blocks, etc.)
 * start with making an estimate
 * count by ones
 * ask how many groups of tens and extras they think they will have
 * put into groups of tens and extras
 * write total number of groups of tens and extras and total number of objects
 * decompose numbers
 * Give students a total number of counters (for example, 9)
 * Give them each a part-part-whole board
 * Have them split their counters into two groups (say, "We need to put these counters into two baskets. How many could be in one basket? How many could be in the other basket?")
 * Record combinations they come up with. Give the group a point for each new combination they have; subtract a point if they say a combination that is already recorded. (This requires them to check their combinations carefully and not repeat.)
 * You may also have them record their combinations on paper after a while.
 * Make a column for the initial combination and the turn-around fact next to it; they get a point for both.
 * Practice language of groups and individuals
 * Have 12 frogs out. Ask how many frogs you have.
 * Have 3 paper lily pads. Put 4 frogs on each lily pad.
 * Ask: "How many frogs do I have? How many groups of frogs are there? (How many lily pads with frogs on them are there?) How many frogs are in each group?"
 * Repeat with different totals and different numbers of groups so students have practice with the language of groups and individuals and how many in each group.
 * Story problem practice
 * Each day, tell one story problem with numbers under 20. Have students visualize the problem and decide if they will add or subtract. Have them solve the problem and show their work on white boards. Push them toward counting on and counting backward.
 * Counting on practice
 * Count out a total number of cubes (such as 12). Put 5 in a group and ask someone to count it.
 * Cover the group of 5 and say, "How many cubes are under my hand?"
 * Together, say, "5, 6, 7, 8, 9, 10, 11, 12" as you count the hidden cubes plus the visible ones to get the total.
 * You can give each student a collection of counters and do this activity all together, with students covering their counters with a cup or a piece of paper.
 * Counters in a Cup / Snap it
 * These are decomposing numbers games.
 * Snap it: they make a tower of a given number of cubes, say 10. In pairs, one students takes the tower and hides it behind his or her back. Their partner says, "Snap it!" and they break the tower, then show only one half. The partner has to say how many cubes are hiding behind their back.
 * Counters in a Cup is the same but they have a total number of counters, then hide some of them under a cup, and their partner has to guess how many cubes are hiding.
 * As a group, you can come up with equations for the combinations they make in these games.
 * Remind them that their learning target is to know these combinations in a snap, so they should practice remembering each combination as it comes up.
 * Practice with more / less
 * "I'm going to give some raisins (or cubes, or pennies, etc.) to David. How many should I give him?
 * "How can we find out how many raisins you all have altogether?
 * How many groups of raisins are there? How many students with raisins are there?"
 * "Do we have 6 equal groups? Is this fair? No? Then what should we do?"
 * Students will decide to give everyone some quantity of raisins. Then go around the circle and for each child figure out how many more they need to get to that total. Some students will use trial and error and some may count on.
 * Write equations for their ideas: ie., if Siena has 7 and she needs 12, how many more does she need? What is the equation? 7 + 5 = 12
 * Guess My Number on the Number line (with numbers less than 10 to start)
 * Make a big number line on the rug with masking tape, students can practice walking on it.
 * Start at 7. If you add 5, what do you get to? Have one student model it with cubes, one student walk it on the number line, and one student record the equation on the white board.
 * Each time, ask, "If we are adding, which direction do we walk? If we are subtracting, which direction do we walk?"
 * Trading Game