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The ability to observe patterns and make a conjecture based on these patterns is an

important aspect of mathematical learning. Describe two distinct activities that would

help your students to develop this ability.
Kevin is building a shed. He wants to cover the triangular part of the front side with wood shingles. What area of the shed will be covered with wood shingles?
how to find area of composite figures
in two regular polygons having the same number of sides find the area of smaller if sides have length 4 and 12 and area of larger is 10 260
How do you find the measurement of 2d shapes?
Relate reasoning to understanding by discussing the following statements:

1. Inductive reasoning contributes to relational understanding of mathematical concepts.

2.deductive reasoning contribute to instrumental understanding of mathematical concepts

Instrumental understanding complements relational understanding
Can deductive and inductive reasoning be applied simultaneously or they need to be applied separately?

A picture is 5 inches high and 7 inches wide. Find the length of the diagonal of the picture. Give the answer as an approximation to 3 decimal places.


Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the volume of B? (round to nearest whole number)
Twenty-five balls, each with diameter 7 cm, are packed in a single layer in a square box. What is the empty space in the box?
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