Using Virtual Manipulatives to Solve Problems & to Explore Concepts


Patterns & Relations


Grade

Pattern & Relations

Problem or Exploration

Virtual Manipulative

K - 4

Saskatchewan Curriculum Outcomes at a Glance

5 - 9

Saskatchewan Curriculum Outcomes at a Glance

K
PK.1
Invitation for Learning



SB_16682200.jpg
Pattern of the day Credit: jmeacham.com
1
P1.2
If I had a (aabcaabc) pattern, how would this look with pattern blocks?
Could use Kidspiration: Example
or the virtual manipulative
Pattern Blocks
Picture_28.png
1
P1.2
Follow the Pattern
Pictorial Symbols & Patterns
Picture_29.png
2
P2.3
Question: If you add 3 on one side how many do you need to add on the other side to make it balance?
Getting the Balance
Picture_30.png
3
P3.1



There are 20 children in Mrs. Muir's class. Can her students make a pyramid with 6 children on the bottom row?
Prove your answer with a representation of your work.
Be prepared to explain to the class how you solved this problem.

interactive_linking_cubes.JPG
Interactive Linking Cubes
3-4

Jane has the number 93 on her calculator, presses some buttons to get
88,83,78. What rule matches the number pattern .ie (add 5)
Calculator & 100 Chart
Picture_31.png
4
P4.1
Count by 8's and let students visualize and verbalize the pattern - Discuss
Hundred's Chart
Picture_32.png
4
P4.1
Start at 5, count on 6 more, what is the number? Count on 2 more, what is the number? Count on 10 more, what is the number? Count on 4 more, what is the number? Repeat this 15 and 25 .. what do you notice?
Hundred's Square
Picture_14.png
5
P5.1
Identify Sequence and the rule
Sequences
Picture_2.png
5
P5.1
Magic Math Matrix - Figure out the pattern
Math Matrix
Picture_3.png
7
P7.1
It's a hot summer day, and Eric the Sheep is at the end of a line of sheep waiting to be shorn. There are 50 sheep in front of him. Being an impatient sort of sheep, though, every time the shearer takes a sheep from the front of the line to be shorn, Eric sneaks up two places in line.
Eric the Sheep
Picture_33.png
7
P7.3

Task: Kerri is a contestant in a school spell-a-thon. A contestant receives 3 points for every word spelled correctly. Because of a technical penalty, Kerri loses 5 points. She now has 19 points. How many words has Kerri spelled correctly? Model the problem with algebra tiles and then use the tiles to solve the problem. How can you use the algebra tiles to verify your solution?
(Source: Mike Fulton - Instructional Video)
Practice:linear.JPG


Alge-Tiles
Picture_47.png
Algebra tile review
algebra_tile_review.JPG
7
P7.4

Show using alge-tiles the following problem:
x + 3 = 7
r + 5 = -2
3x – 4 = 5
(Source: Mike Fulton - Instructional Video)


Create models for integer operations e.g. show that (-4) + (+1) = -3; show that 2(-3) = -6
Build algebra tile models for and use your models to explain why expressions are not equivalent.
Algebra Tiles
Picture_34.png
8
P8.1
"Today we are going to experiment with the Tables and Chairs applet and see if we can identify any patterns. Describe any patterns we find both and mathematically. "* answer the question "How do you describe a pattern mathematically?"
  • answer the question "What is an ?"
  • discuss finding patterns in numbers.
Table & Chairs
Picture_35.png
Additional Resources: SK outcome based lessons & assessment of problems using concrete manipulatives & virtual manipulatives.