# Math Midterm

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1. Mathematically proficient students:
• 1. make sense
• 2. reason
• 3. model
2. CA Mathematics Framework
• - number sense
• - measurement & geometry
• - Algebra & functions
• - Stats, data analysis, probability
• - Mathematic reasoning
3. Come up with a question that a child has procedural knowledge but not conceptual knowledge.
- give enough detail to explain why they have procedural but not conceptual
• Find the area of the circle. Radius = 3
• Student understands the equation is pi x r squared. They know that pi represents 3.14 and understand that they must multiply by the radius squared. They do not understand where the numbers are coming from.
4. Anchoring points
• ideas related to new and old information
• ex. numbers - adresses, weight, height, volume
5. 2 subskills you need to know before counting
• 1. each object has a name
• 2. names have to occur in a certain order
6. Methods of teaching multiplication
• repeated addition (6 x 3 = 6 + 6 + 6)
• combinations (there are 2 shirts and 3 ties, how many combinations can you make?)
• area (set out counting chips and multiple across and then down)
• lattice multiplication
7. Methods of teaching division
• partition (how many elements are in a group?)
• -If I have a box of chocolate and want to divide them into 3 groups, how many pieces will be in each group?

• measurement (how many groups are there?)
• -If I have a box of chocolate and want each person to get 2 pieces, how many people will get chocolate?
8. 4 steps to teachÂ measurement
• - identify the attribute
• - make comparisons
• - use non-standard units
• - use standard units
9. 7 steps to teach geometry
• 1. sort shapes
• 2. match shapes
• 3. make shapes
• 4. provide problem solving activities
• 5. analyze properties
• 6. explore relationships among shapes
• 7. prove theories
shape with 4 sides
11. Trapezoid
a quadrilateral with 1 pair of parallel sides
12. Parallelogram
a trapezoid with 2 pairs of parallel sides
13. Rectangle
a parallelogram with 1 right angle
14. Square
a rectangle with adjacent congruent sides
15. Rhombus
a parallelogram with adjacent congruent sides
16. Order of shapes