Transcript Math Homework Powerpoint - Buncombe County Schools

Math Homework Tips
For Parents
Nov. 19, 2015
Welcome! Please sign in on the
sign in sheet before we begin.
Why don’t we teach math
the way we learned it?

We want to develop mathematical thinkers
and problem solvers.

We want students to have a deeper
understanding of math, what the value of
the numbers mean, and how the numbers
and concepts work. Math is flexible and
there are multiple ways to find the answer.

Rote memorization will only get you so far.

Throughout each grade level we are trying
to move kids from concrete to abstract
problem solving.
Look for some of these math
concepts when finding games or
websites:
 Word Problems for: addition,
subtraction, multiplication,
division, number patterns, shape
patterns, algebra, geometry,
graphs, elapsed time, weight,
measurement, capacity, and
fractions (including mixed
numbers, improper fractions,
equivalent fractions,
largest/smallest fractions, 1/3 of
12, etc).
Ten
More
Ten
Less
Counting
in units
of ten
Counting ten less and ten more and 100 more and 100 less
for addition and subtraction to 1,000.
See
thousands
chart
handout.
Teaching kids how to count by tens is important to understand values of
numbers. *Hundreds boards, thousands chart, or see below for place value.
Ways to Make 100
Ways to Make 10
Ways to Make 100
Other Combinations
of 100:
1+9
10+90
76+24
2+8
20+80
51+49
3+7
30+70
42+58
4+6
40+60
?
5+5
50+50
?
6+4
60+40
?
7+3
70+30
?
8+2
80+20
?
9+1
90+10
?
Be sure to look at the TENS place and try to get to 90. Then, look
at the ONES place and try to get to 10. (90 +10 = 100)
Close to 100 Game- Choose
what is in the tens place to
equal 90. Choose numbers
to equal 10 in the ones
place.
4 2 +
34
5 8 = 100
+ 6 5 = 99
*Rounding to the Nearest Ten:
Multiples of ten: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140 etc.



Look in the ones place.
If it is 5 or more, round up to the next multiple of ten.
If it is less than 5, round down to the nearest multiple of ten.
Example: 43 ~ 40
-l------l----------------l---------------------------l-
40
43
45
50
*Rounding to the Nearest Hundred:
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, etc.



Look in the tens place.
If it is 5 or more, round up to the next multiple of 100.
If it is less than 5, round down to the nearest multiple of 100.
Example: 268 ~ 300
-l----------------------------l--------l------------------------l--
200
250 268
300
Students may also be asked to estimate to the nearest 10 or nearest 100 when
adding or subtracting in their math problems.
Use these phrases to help kids know what
operation to use in word problems:
Key Words in Math Word Problems
ADD~ If you read:
MULTIPLY~ If you read:
sum
product
multiples of…
total
times
all together (or altogether)
twice
plus
total
in all
multiplied by
both
What is the area of…
How many combined?
Groups of…
What is the sum?
What is the product?
SUBTRACT~ If you read:
What is the difference?
less than
How many less?
How many fewer?
How many more?
How many are left?
How much change?
How much taller is?
How much shorter is?
Minus
give away
take away (or took away)
DIVIDE~ If you read:
remainder
quotient
goes into
split equally
each
How many per…
What are the factors?
Shared among…
Divide ___ into parts
equal parts
What is the quotient?
See parent handout on
addition and subtraction
strategies for the following
slides.
Parents can help kids with math addition fluency:
Make 10 Combinations 9+1, 1+9=10
6+4=10
2+8=10
7+3=10
3+7=10
8+2=10
4+6=10
9+1=10
5+5=10
Doubles
1+1=2
2+2=4
3+3=6
4+4=8
5+5=10
Near Doubles (+1 or -1)
Ex. 5+5=10, so…
5+6=11 (+1)
Ex. 6+6=12, so…
6+5=11 (-1)
Plus 10 Combinations
10+1=11 10+6=16
10+2=12 10+7=17
10+3=13 10+8=18
10+4=14 10+9=19
10+5=15 10+10=20
Plus 9 Combinations
9+1=10 9+6=15
9+2=11 9+7=16
9+3=12 9+8=17
9+4=13
9+5=14
Remaining Combos:
(+2 or -2) (near 10)
Ex. 5+3=8
6+3=9
5+7=12
6+6=12
7+7=14
8+8=16
9+9=18
Addition Strategies:
Adding By Place (Breaking Apart):
46 + 74 = ___
40 + 70 = 110 First, I added the tens.
6 + 4 = 10
Then, I added the ones.
110 + 10 = 120 Last, I put the tens and
the ones together=120
(A little art lesson: red + blue = purple)
• Use number strings:
*Only for adding, not subtracting.
46 + 74 =
110
120
10
“Sticks and Stones”
- for younger grades.

Students can use drawings to add
numbers together. Students use a
square to represent 100, a line or
“stick” to represent 10 and a dot to
represent 1.

This is a pencil and paper method of
solving problems without cubes.

Can use sticks and stones with
subtraction.
Drawing with sheets (100), strips (10),
and singles (1):
46 + 74 =
llll :::
lllllll ::
110+10 = 120 *Draw below:
*We use algorithms to “Stack and Regroup”:
11
46
+ 74
120
Here’s my thinking:
6 + 4 =10, so I put a 0 in the ones column and
carry my group of 10 (1) to the tens column.
Then I add 1 ten (10) + 4 tens (40) + 7 tens (70) =
12 tens (or 120). So I write my 2 (20) in the tens
column and write the 1 (100) in the hundreds column
to equal 120 as my answer.
*Sometimes you can use this as a way to double check your answer.
*Use a Hundreds Board:
10
more
each
time
Equation: 46 + 74 = X
46
10
56
10
66
10
76
10
86
10
96
10
106
10
116
1 more each time
117
1
118
1
119
1
120
1
Students start at 46, then add 7 tens by going down 7 tens, landing on 116. Then
they add 4 ones by going to the right 4 places, ending on 120. X=120
Hundreds Board and Number
Line- Subtraction




The number line has
transformed student success
with subtraction. When students
solve subtraction problems they
can simply turn the subtraction
problem into addition!
203- 85=____
Why subtract when you can
add?
85+_____ =203
Break Apart By Place:
1. Write equation.
Example: 93 – 5 8 = ______ <35 is the answer.
93 – 50 =
43
43 – 8 =
35 *
*Use the entire number 93 and break away the value of the tens place.
Subtract from that answer the value of the ones place.
Number line:
1. Write equation.
93 – 58 = _______
30
<35 is the answer.
+
5
= 35
---l--------------------------l--------------------l----
58
88
93
•
To help with homework, have students highlight or underline key words and what
the problem is asking.
•
Teach your kids to read very carefully. Often, problems have more than 1 step
to find the correct answer.
Math Homework #3- Sub.
*Use either the Break
Name:___________ #:_______ Date:_____
Apart strategy or the Number Line strategy.
You may double check with the algorithm (stacking) if you choose.
Write the equation and show how you solved it. *Please see reverse
side for the strategies for sub.
1. There are 63 pencils in the drawer. Dan took
20 pencils out of the drawer. How many pencils
are left in the drawer?
Types of Graphs
Example of a Survey
Example of a Bar Graph
Be sure to
look at the
key on
graphs; some
symbols are
more than 1.
Ex.
=10 apples
Example of a Circle Graph or Pie Chart
Example of Double Bar Graph
Example of Pictograph
Line Plot
Short hand = hour hand
60 seconds = 1 minute
Long hand = minute hand
60 Minutes = 1 hour
What is half?
What is more
than half?
Which fraction
is larger?
1/4 or 4/6?
Equivalent fractions
We will be learning about equivalent fractions
1 whole
1/
1/
1/
8
1/
2
1/
4
1/
8
1/
8
1/
4
1/
8
1/
8
2
1/
4
1/
8
1/
8
4
1/
8
1 whole
1/
1/
1/
8
1/
2
1/
4
1/
8
1/
8
1/
4
1/
8
1/
2
1/
4
8
1/
8
1/
8
4
1/
8
We can see that 2/8 is the same length as 1/4
So 2/8 = 1/4
They are equivalent fractions
Geometry

Solid Geometry is the geometry of threedimensional space, the kind of space we
live in ...Three

Dimensions.
It is called three-dimensional, or 3D
because there are three dimensions:
width, depth and height.
Geometry

A sphere is a figure with all points the same distance from the
center.

A cube is a three-dimensional shape with six square or
rectangular sides.

A cylinder has two parallel faces that are circles. The circles are
called bases. The distance from the center of the circle to a point
on the circle is called the radius.

A rectangular prism is a solid figure where all sides are
rectangles and all sides meet perpendicular.

A cone is a figure created by connecting every point of a circle to
a point not in the plane of the circle. The point is called the
vertex and the circle is called the base.

A pyramid is a figure created by connecting every point of a
polygon to a point not in the plane of the polygon.
A vertex is the point where
two sides of a polygon
meet.
Cube
6 Faces
8 Vertices
12 Edges
Polygons are closed, flat 2-dimensional figures. Polygons are
many sided figures that are line segments. A regular polygon
is one that has EQUAL SIDES. Polygons also have diagonals.
Polygons:
Number Number Number
of
of
of
Sides
Angles
Diagonals
Triangle
3
3
0
Quadrilateral
4
4
2
Pentagon
5
5
5
Hexagon
6
6
9
Heptagon
7
7
14
Octagon
8
8
20
Nonagon
9
9
27
Decagon
10
10
35
Congruent~ Same Size, Same Shape
Similar~ Same Shape, Different Size
Symmetric Figure~
A figure that can be folded flat along a line so
that the two halves match perfectly is a
symmetric figure; such a line is called a line of
symmetry.
Examples:
The triangle below is a symmetric figure. The dotted line is the
line of symmetry.
The square below is a symmetric figure. It has four different lines
of symmetry shown below.
The rectangle below is a symmetric figure. It has two different
lines of symmetry shown below
Area = L x W
Area = inside
of a figure
X
5
6
Mrs. Reed wants to purchase new carpeting for the her
living room. What is the area of her room? 5 x 6 = 30
A. 30 square yards
B. 22 yards
C. 2 feet
D. 25 square yards
5 cm
Perimeter =
Distance around the
outside of a figure.
+
7 cm
3 cm
6 cm
5 + 7 + 6 + 3 = _____ cm.
What is the perimeter of this shape?
A. 18 centimeters
B. 20 centimeters
C. 21 centimeters
D. 21 square cm
Number Patterns…
8, 10, 12, 14, __
What is the
rule?
Number ... 16 is
next!!!
8, 10, 12, 14, 16
+2
+2
+2
Rule is +2 each time
*This is a repeating pattern.
+2
5 X 2 =10
Kids need to understand “groups of”…
They also need to see how multiplication
is related to division.
Example: 6 X ____ =24
2
trees
X
4
=
apples
8
apples in all
5
X
2
=
10
2+2+2+2+2=10
3
4
3 x 4 = 12
8 x 5 = __
8, 16, 24, 32, 40
6 + 6 = 12, so
2 X 6 = 12.
9 + 9 = 18, so
2 X 9 = 18.
0 X 1 =0
factor
factor
product
1 X 5 =5
factor
factor
product
Multiplication Songs~ *Keep in Resources section of notebook
2’s (as a cheer)
2, 4, 6, 8, 10, that’s the way that we begin.
12, and 14, 16 too, that’s the way we count by two’s
18, 20, these are just a few of plenty!
3’s (to the tune of “Jingle Bells”)
3, 6, 9, 12, 15, 18, 21, 24, 27, 30 we are done, hey!
4’s (to the tune of “Row, Row, Row Your Boat”)
4, 8, 12, 16,
20, 24. . . 28 and 32,
36 and 40.
5’s (to the tune of “Old McDonald”)
5 and 10 and 15, 20 e i e i o
25, 30, 35, 40, that’s the way it goes.
With a 45 here and a 50 there, e i e i o.
*12’s (to the tune of the Macarena)
12, 24, 36, 48 Hey Macarena!
60. 72. 84. 96 Do the Macarena!
108 and 120, Sing the Macaren
(one hundred eight and one twenty)
132, 144 Shake the Macarena!
(one thirty two and one forty four)
6’s (to the tune “Found A Peanut)
6, 12, 18, 24, 30 next comes 36
42 and 48 and six more makes 54.
Last is 60 but don’t worry, it’s been fun, oh yes it has.
But, please remember all your six’s or Mrs. Rogers will have a cow.
7’s (to the tune of “She’ll Be Comin’ Round The Mountain”)
7 and 14, 21 Hee Haw, Hee Haw
28 and 35 we’re halfway done Hee Haw
42 and 49, 56 and 63, and lastly we have 70 Hee Haw, Hee Haw!
8’s (to the tune of “BINGO”)
8, 16, 24, 32, and 40
48 and 56, 64 and 72
80 and 88 and now we are through.
9’s (to the tune of “Camptown Races”)
9, 18, 27, thirty-six
45 and 54, next is 63.
Next is 72, then is 81, last is 90. . . now guess what?
Now I know my 9’s, whoo-hoo!
Example of an algebra equation using multiplication and division:
What number is the solution to the equation below?
3=△÷9
(Algebra equation)
* Show your work:
3 x 9 = _______, so 3 = _____ ÷ 9
A 3
B 12 You can use repeated addition to solve: 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = ______
C 18
D 27
Math Websites:
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www.ixl.com
Softschools.com
Choose ___ grade math games
Internet4classrooms
___ grade >Math Activities
multiplication.com
gameaquarium.com/math
funbrain.com
Jefferson County Schools
Math power point presentations
NCDPI Website~ has EOG math problems
and testing information
http://www.commoncoresheets.com/
Play Math Games at home~



Monopoly help kids count
money.
Roll dice and add 1 digit
numbers for fluency. Then, try
adding 2 digit numbers and 3
digit numbers. Try using this for
subtraction as well.
Bump It- multiplication game.