Patterns in Mathematics

1
Patterns in Mathematics
2
Skip Counting

• Skip Count by 3, 4, 6 and 8
• What patterns do you notice?

3
Element

• http//www.amathsdictionaryforkids.com/dictionary.
  html
• An element is a member of a set
• Patterns are ordered sets of numbers, shapes, or
  other mathematical objects arranged according to
  a rule

4
Pattern Rule

• What are the next 3 elements in each pattern?
• 85, 80, 75
• 77, 65, 53
• 6, 12, 24
• 8, 15, 22
• What are their pattern rules?

5
Constructing Stairs
Be aware of the blocks used to build the
structure!
6
Add, Subtract, Multiply and Divide

• The four basic operations in math used to solve
  problems
• Add
• Subtract
• Multiply
• Divide

7
Sum and Difference

• When you add two or more numbers together, your
  answer is called the sum
• 3 3 6
• When you subtract two or more numbers, your
  answer is called the difference
• 6 3 3

8
Product and Quotient

• What do you get when you multiply two or more
  numbers?
• When you divide two or more numbers, your
  answered is called

The Product!
The Quotient!
9
T-Chart

• Complete the following table to predict the
• number of students who will attend the school in
  2015-2016 if the population of students continue
  to decline.

10
Journal Entry

• The diagram below shows a series of triangles
  built using toothpicks.
• Continue the pattern for the next 3 triangles and
  explain how the pattern grows. Create a chart to
  show how many toothpicks will be used for each
  picture.

11
Plant Growth

• Jim was conducting a science experiment on plant
  growth.
• The growth occurred based on a pattern. After
  each week, he recorded the height of his plant in
  a table.

Week Height (cm)
1 20
2 40
3 60
4 100
5 120
What is a table?
A table is mathematical information organized
into columns and rows.
12
Algebraic Equations and Expressions

• Algebraic Equations
• Mathematical Statement containing an equals
  sign, to show that two expressions are equal.
• 4 10

• Algebraic Expressions
• One or a group of mathematical symbols
  representing a number or quantity. An expression
  may include numbers and/or variables.
• 4

13
Variables and Coefficients

• Variable
• A letter or symbol representing a varying
  quantity
• n is the variable in
• 6 n

• Coefficient
• A number which multiplies in a variable
• 6 is the coefficient in
• 6 n
• .

14
Equation Match Game

• 15 s 9

• The algebraic equation 15 s 9 matches with
  the 6 card because s 6.
• You can answer this question by turning the
  equation around and making it
• 15 9 s

6
15
Pan Balance
Explain how you would solve this equation using a
pan balance. Use pictures, numbers and words to
explain. 21 y 40
16
CENTERS Day 1

• Group 1 Details Car Wash
• Rachel
• Ashley
• Brittney
• Alyssa

• Group 4 The Counter Mystery
• Destiny
• Janae
• Bradley
• Eric

• Group 2 Maps
• Vinson
• Ryan
• Nick
• Elyse
• Ian
• Jody

• Group 5 - Patterns in Math
• Heidi
• Abby
• Andrew
• Tyler

• Group 3 M M Mystery
• Ethan
• Jenna
• Ronan
• Brooklyn

17
CENTERS Day 2

• Group 1 Details Car Wash
• Heidi
• Abby
• Andrew
• Tyler

• Group 4 The Counter Mystery
• Ethan
• Jenna
• Ronan
• Brooklyn

• Group 2 Maps
• Rachel
• Ashley
• Brittney
• Alyssa

• Group 5 - Patterns in Math
• Destiny
• Janae
• Bradley
• Eric

• Group 3 M M Mystery
• Vinson
• Ryan
• Nick
• Elyse
• Ian
• Jody

18
CENTERS Day 3

• Group 1 Details Car Wash
• Destiny
• Janae
• Bradley
• Eric

• Group 4 The Counter Mystery
• Vinson
• Ryan
• Nick
• Elyse
• Ian
• Jody

• Group 2 Maps
• Heidi
• Abby
• Andrew
• Tyler

• Group 5 - Patterns in Math
• Ethan
• Jenna
• Ronan
• Brooklyn

• Group 3 M M Mystery
• Rachel
• Ashley
• Brittney
• Alyssa

19
CENTERS Day 4

• Group 1 Details Car Wash
• Ethan
• Jenna
• Ronan
• Brooklyn

• Group 4 The Counter Mystery
• Rachel
• Ashley
• Brittney
• Alyssa

• Group 2 Maps
• Destiny
• Janae
• Bradley
• Eric

• Group 5 - Patterns in Math
• Vinson
• Ryan
• Nick
• Elyse
• Ian
• Jody

• Group 3 M M Mystery
• Heidi
• Abby
• Andrew
• Tyler

20
CENTERS Day 5

• Group 1 Details Car Wash
• Vinson
• Ryan
• Nick
• Elyse
• Ian
• Jody

• Group 4 The Counter Mystery
• Heidi
• Abby
• Andrew
• Tyler

• Group 2 Maps
• Ethan
• Jenna
• Ronan
• Brooklyn

• Group 5 - Patterns in Math
• Rachel
• Ashley
• Brittney
• Alyssa

• Group 3 M M Mystery
• Destiny
• Janae
• Bradley
• Eric

21
Pascals Triangle

• Each number in a row is the sum of the two
  numbers directly above it. Create the next two
  rows. Then, determine the sum of each row and
  list them as a sequence of numbers. Determine the
  pattern of the sums.

22
Problem Solving

• Maya watched 14
• vehicles go by her
• house. She noticed that
• every third vehicle was a
• truck and every fifth
• vehicle was a motorcycle.
• The rest were cars. Write
• a pattern for the vehicles.
• Of the 14 vehicles, how
• many were cars and how
• many were trucks?