"Math is not done with paper, pencil, or a calculator; math is done with the brain."

Preview:

The goal of this task to provide students with a model for how cube numbers can be represented with cubes and square numbers can be represented with squares.

Grade:

Grade 8

Task Type:

Connecting Representations

Source:

Big Idea:

Grade 8: Number represents, describes, and compares the quantities of ratios, rates, and percents.

Grade 8: Computational fluency and flexibility extend to operations with fractions.

Content:

perfect squares and cubes
using colour tiles, pictures, or multi-link cubes
building the number or using prime factorization

Curricular Competency:

Reasoning and analyzing: Develop mental math strategies and abilities to make sense of quantities

Understanding and solving: Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Understanding and solving: Visualize to explore mathematical concepts

Understanding and solving: Develop and use multiple strategies to engage in problem solving

Communicating and representing: Communicate mathematical thinking in many ways

Communicating and representing: Use mathematical vocabulary and language to contribute to mathematical discussions

Communicating and representing: Explain and justify mathematical ideas and decisions

Communicating and representing: Represent mathematical ideas in concrete, pictorial, and symbolic forms

Connecting and reflecting: Reflect on mathematical thinking

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