Exact Shape
rectangle
What are the two estimated shapes?
circle and an oval
Define Area
Counting the inside squares
What does the square and circle mean when solving the Distributive (Dorito) Property of Multiplication?
Square= Stays SAME
Circle= Changes
What is step 1?
Draw your imaginary line(s) to have split your shape into 2-3 shapes.
The smallest exact shape is called a?
square
Look on the opposite side top OR bottom AND
left OR right side to see if there's a number.
Explain
exact shape
rectangle shape or square shape
all the squares on the inside are colored in
Think of AI. What do those letters stand for?
Area Inside
What do you have to remember about the line(s) that you drew to make 2-3 shapes?
It extends/sticks out all the way because the length of that line changes. It gets smaller, broken down.
What makes a square special?
Doubles fact; same two factors for the multiplication equation; all squares are fully colored
What do you have to do when you're counting the squares that make up an estimated shape? Think of fractions or parts of a whole.
Half of a square is a triangle, so two triangles make up one full square.
explain
Estimated shape
When the shape is drawn on gridlines, a bunch of squares paper.
The outline of the shape do not follow along/trace the lines. The shape doesn't fill in each square, or it stretches out for another square.
How can you remember which way rows go?
How can you remmeber which way columns go?
"rows" row row your boat, side to side, left to right. Think of a slinky, the "w" can be stretched out.
The "l" in column goes up and down.
What is step 2?
Find the area of shape BA.
Find the area of shape CA.
MAYBE find the area of shape DA.
Which shapes/what design of a figure make up an exact shape?
2 rectangles AND 1 square with a rectangle
Why is an estimated shape, called estimated?
The area of the shape doesn't fit perfectly in the squares. There might be extra space that isn't colored in, or there might be extra space that takes up another square.
Explain how to fully solve a multiplication problem using the
Distributive Property of Multiplication
Square and Circle your numbers.
The easier factor STAYS SAME/Squared.
The harder factor CHANGES into two smaller addends that add up to the original factor.
Solve the left multiplication fact for a product. Solve the right multiplication fact for a product.
Add the products together.
With the new step added to the Distributive Property...
# X ( # + # )
How/What can you remember about the numbers inside the parentheses? ( )
Those numbers are where your circled/Changed numbers go.
If you connect the parentheses, you can make an oval/circle shape.
The two smaller addends that equal the larger number that was Circled to be broken down into two smaller ones.
What is the last step?
TA = Total Area
Add up the BA, CA, and MAYBE the DA.
What makes a shape considered to be an exact shape?
All of the squares are colored in. None of the lines and squares are part colored part white. They are always colored in perfectly in a way.
What are 6 triangles worth in squares?
There are two triangles in one square. So you can do 6 triangles divided by 2 triangles because that gives you 3 FULL squares.
Explain what the new line of the Distributive Property is.
HINT: It was ONLY three numbers, two different operation symbols, and has parentheses ( ).
# X ( # + # )
^^ ^^^^^
Squared Circles
STAY SAME two smaller numbers add up to original
With the new step added to the Distributive Property...
# X ( # + # )
How/What can you remember about the number that stands alone?
That is your Squared number.
It Stays the Same. It wants to be by itself, not be with a Circled Crowd.
What might you have to do to find a missing side length and it's still missing a top/bottom OR left/right side?
Depending on what's there... add or subtract the numbers on smaller lines that when they're connected together would equal the longer side.