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Mathematical Process
-Logical Reasoning: thinking in a way that makes sense to find patterns in a set of data and draw conclusions.
Steps in solving a problem:
1. understand the problem
2. choose a strategy or make a plan
3. carry out the plan
4. check your answer
Development Considerations:
Teach hands on first with teaching new subject because kids think symbolically

Egyptians and Babylonians: egyptians wrote numbers using hieroglyphs to represent the #'s 1, 10, 100, 1,000, 10,000, 1,000,000
babylonians made great advancements in science, math and specifically in astronomy and multiplication and division

Greeks: right angle pythagorean thereom and created geometry and rational #s
and irrational numbers too
babylonians

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Probability and Statistics
-technique for solving problems.
-range, mean, median and mode
Probability of choosing a type of color of marble.
-Line Plot, pictographs, stem and leaf, bar graphs, circle graphs, tables to display data

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The teacher is expected to model using concrete models to help students understand math problems. For example, if students are working on patterns the teacher gives students unfix cubes, blocks for students to use to represent their pattern. Fr example, the student can use a red and green unfix
cube to represent an AB pattern.
Make predictions and validate results is what this competency also focuses on. Encouraging students to interpret critical thinking skills and, validate their reasoning and results.

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The teacher can use mnemonic devices such as PEMDAS to help students remember the order of operations when completing algebra problems or expressions.

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Geometry and Measurement
-know points, lines, angles, lengths and distances.

-planes: there are 2 lines and then a separate point is called a plane

-polygons: triangles, quadrilateral, pentagons, hexagons, octagons

-types of triangles: equilateral, isosceles, scalene. Also, acute, obtuse and right

pythagorean theroem- a squared + b squared = c squared

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This competency focuses on how to teach math and, what manipulatives that can be used in order to teach math. The teacher should use real-word examples for students to relate to real word instructions.

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Yuliana