Teaching Mathematics Strategies
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Transcript of Teaching Mathematics Strategies
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Prepared by:
LETICIA L. LAYUG
ERL DELA VEGA
Sitero Francisco Memorial National High School
Mapulang Lupa National High School
BLOCK MODEL APPROACH IN
SOLVING PROBLEMS
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BUILDING MATH CONCEPTS
USING VISUAL MODELS
Below are pictures of blocks that model the terms in Algebraic Expressions.
Algebraic Expressions
Constant 1 x y
5x5 5y
xy x2 y2
2y22x22xy
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Example
y2 2xy 5x 2y
Draw a picture of theblocks to show
y2
+ 2xy+ 5x + 2y + 3
3
y2 + 2xy +5x +2y +3
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BUILDING MATH CONCEPTS
USING VISUAL MODELS
Evaluation of Algebraic Expressions
If x=5
If y=2
If x2=3
If y2=2
What is the value of y + 3 if y = 5?
y 3 35 + = 8
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Example
1. x = 2, the blocks shows ___________.
=
2x + 9
2. x = 1, the blocks shows ___________
3. x = 0, the blocks show ____________
2x 2x+ 9 + 9 = 13
= 13
2x + 9 = 11
2x + 9 = 9
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Negative Area
ADDING INTEGERS
Expression : 8 + (- 4 )
Simplest way 84 = 4
8
-4
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ADDING INTEGERS
Negative Area
To show 5 - 9, show 4 differently byadding zero
Negative Area
5 - 9 =5
Negative Area
-4
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ADDITION OF POLYNOMIAL
The blocks show (2x24x + 2) + (6x 5).
To find the sum, cancel blocks.
Negative Area2x2 + 2x -3
2x2 2x
-3
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Subtraction of Polynomials
Negative Area
(4y - 2) - (6y 5) (4y - 2) + (-6y + 5)
Subtract : (4y - 2) - (6y 5).
- 2y
3
= -2y + 3
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Multiplication ofPolynomials
Using 2 pieces of x2 and 10 pieces of x, arrange the blocks into a
rectangle.
2x2 + 8x
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Multiplication of Polynomials
x
x
x 1 1 1 1
2x
(x + 4)
Area :2x2 + 8
Length:
2xWidth:
x+4
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Area : 2x2 + 3x + 1
Length:
x+1Width:
2x +1
Arrange the blocks into a rectangle. Sketch the rectangle
and identify the area, length and width.
2x +1
x+1
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Show how to use blocks to represents the product.
1. x (5x+3)
5 x2 + 3x
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Multiplication of
Polynomials
Represent the product of 2x and x-3 using the blocks.
Using the blocks, x+3 is
illustrated as:
While, x-2 can be illustrated as:
Answer: 2x(x-3) = 2x2 -6x
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Show how to use algebra blocks to represent the product
Given:(x-1) (x+2)
Answer: x2 +x -2
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Division of Polynomials
Use the corner piece and tiles to solve division problems.
numeratorDenomin
ator
The blocks shows
15 or 15 divided be 5
5
Quotient
Therefore,
15 = 3
5
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These blocks shows x2 +3x
x
Consider the following algebra blocks
The rectangle formed gives the other
side length which is x+3.Hence, the complete division equation is
x2 + 3 = x + 3
x
X + 3
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Given: 2x2 + 7x +4
2x + 1
numerator
denomi
nator
remainder
Answer: 2x2 + 7x +4 = x + 3 remainder 1
2x + 1
X + 3 Remainder 1