Grade Six SCO: C1

GCO C: Students will explore, recognize, represent, and apply patterns and relationships, both informally and formally.
KSCO: By the end of grade 6, students will have achieved the outcomes for entry-grade 3 and will also be expected to i) describe, extend, and create a wide variety of patterns and relationships to model and solve problems involving real-world situations and mathematical concepts.

SCO: By the end of grade 6, students will be expected to solve problems using patterns.

Students should by the end of grade 6, be able to use their knowledge of patterns to aid them with problem solving. Basically, they need to continue using patterns to help them solve mathematical problems. They should be able to extend patterns by increments, find factorials and be able to predict values based on patterns. For example asking students to predict what the next answer might be, where the first few answers have previously shown a pattern.

Related SCOs:


Prior learning Concurrent learning Subsequent learning. 
  • 4-C3: use patterns to solve computation problems
  • 5-C2: recognize and explain the patterns in dividing by 10, 100, and/or in multiplying by 0.1, 0.01, and 0.001.
  • 5-C3: solve problems using patterns

 

  • 6-C2: use patterns to explore division by 0.1,0.01, and 0.001.
  • 6-C5:  recognize and explain how the change in one term of a ratio affects the other term.
  • 6-A4  demonstrate an understanding of equivalent ratios
  • 6-A5  demonstrate an understanding of the concept of percent as a ratio.

 

Related Resources

This article outlines that algebra is often thought of as math for middle and high school students but the idea of patterns has always been taught in elementary schools so the NCTM (2000) replaced this existing notion with an algebra K-12 standard. This standard has expanded the algebra definition to include patterns and functions. The article states that by teaching young children to recognize and extend patterns in the earlier grades they will be more confident and have a better understanding when they commence actual algebraic work, such as solving problems verbally and symbolically in the middle school grades. This is a great article because it provides three class explorations that depict how the students learn algebra as they move through the grades. Specifically, the second class exploration relates to SCO: 6-C1. This exploration deals with solving problems involving different shaped patterns.

Bay-Williams, J. M. (2001) What is Algebra in Elementary School? Teaching Children Mathematic, 8, 4, 196-200.

URL

by Amanda Best adapted from Christine Cameron



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