Saturday, 13 September 2014

Math Strategies and Tips for Helping Your Child at Home Unit 1: Patterning

The math test for unit one will be on Tuesday, September 23rd.


Unit 1: Patterning

In the first unit of math: patterning, students are required to identify, create, and explain various patterns in math. In class we call this being an amazing math detective! So how can you help your child to build upon these skills you might ask?

1.  Become familiar with the math language

a)    Core: the core, are the numbers in a repeating pattern. There has to be at least 3 numbers (terms) in a core in order for it to be considered a “repeating pattern”. For example: 1, 6 ,7, 8, 1, 6, 7, 8, 1, 6, 7, 8, ... the core if it were to be circled would be the numbers: 1, 6, 7, 8.

b)   Repeating Pattern: a repeating pattern has a core of 3 or more terms that repeat again and again. For example: 1, 2 ,3, 1, 2, 3, 1, 2, 3, 1, 2, 3, .... The students might be asked to identify the next 3 terms, or what the core in the repeating pattern are.

c)    Growing Pattern: a number pattern that increases. A growing pattern will always include the operation of either multiplication or addition (in grade 4). For example: 5, 10, 15, 20, 25, 30, ... Can you find the next 3 terms? Can you identify the pattern rule?

d)   Shrinking Pattern: a number pattern that decreases. A decreasing pattern will always include the operation of division or subtraction (in grade 4).   

e)   Term: a term is another word for number when used in math vocabulary. For example, “What are the next 3 terms in this number pattern? 20, 17, 14, 11, ___, ____, ____.

f)    Pattern Rule: a pattern rule explains, “give directions”, using words as to how the number pattern words. For growing and shrinking patterns, it always uses the words “Start at ____, +, -, x, or / (divide) _____ each time.” For example the number pattern: 5, 10, 15, 20, 25, 30 would have the pattern rule: Start at 5, add 5 each time. The same Start at ___, is used in repeating patterns, but students may describe how the pattern repeats in various ways.

 

2.  Practice looking for patterns at home and in your community

Your child has the ability to transfer the knowledge they already have about patterns to things that they can find at school, home, and in the community. We have discussed being a “pattern detective” in class. Here students identified existing patterns such as: the desks/rows, students (boy/girl/boy/ etc.), the tiles on the floor, the blocks on the wall, the hands on a clock, the patterns on the borders of the bulletin boards, clothing, pencil cases, etc. When you are out for a walk or sitting around at home have your child find and explain to you the pattern. You’ll be amazed at how many different patterns that you can discover as a family.

3.  Play games at home

Games make learning fun. The class loves to play games and you can do this at home as well with your child.

a)    A 100s chart and highlighters, bingo dabbers, or counter type chips to place on the 100s chart.

-      This game can be used again and again (and we’re doing this in class too). Your child can use a 100s chart (printable off a website such as: http://math.about.com/library/100.pdf

 

4.  Websites


This is an interactive 100s chart. Your child and you can create patterns using a highlighter; it’s easier than printing off multiple worksheetsJ You can print the work/worksheets as well so it’s the best of both worlds.

Sample Questions for Games and Websites

1.     Make a growing pattern. What is the number pattern? What are the next 3 terms?

2.    Make a shrinking pattern. What is the number pattern? What are the next 3 terms?

3.    Make a repeating pattern. What is the core? What are the next 3 terms?

4.    As the adult you make the same types of patterns and have your child tell you the pattern rule, type of pattern, and/or the next 3 terms.

5.    Have a guessing game to see if your child and you can outsmart each other- who can guess the next terms the fastest? Identify the pattern rule first? Identity the type of pattern?

6.    Have your child look for various patterns in the hundreds chart.

a)    What pattern is occurring the ones column?

b)   What pattern is occurring in the tens column?

c)    Can you skip count (multiply) by 2, 3, 4, 5, etc.?

d)   Can you divide/subtract?

 

Here are some number card ideas that I would use in class:

1)    Start at 5, add 5 each time.

2)   Start at 90, subtract 5 each time.

3)   Start at 2, multiply by 2 each time.

4)   Start at 40, divide by 2 each time.

5)   Start at 1, add 3 each time.

6)   Start at 30, divide by 3 each time.

7)   Start at 4, add 4 each time.

8)   Start at 45, subtract 4 each time.

9)   Start at 100, subtract by 10 each time.

10) Start at 1, go on a diagonal to the right (1 tile to the right, 1 tile down). What patterns do you notice? If you child needs further prompts ask him/her to look in the ones and tens columns.

11)  Ask your child to identify patterns in different rows, columns, diagonals.

12) Ask your child to show you as many different patterns as he/she can find.

13)  As your child begins to gain more confidence and understanding, start to cover up or whiteout various numbers on the 100s chart.

14) Ask your child to fill in specific patterns on a blank 100s charts for any of the questions for #1-11.

15)  Ask your child to create pattern rules that can be used in the 100s chart game.

If you have any fun games or websites that you find/come up with as a family please share them with the class.

 

    

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