PATTERNS IN MATHEMATICS

SKIP COUNTING

Skip Count by 3, 4, 6 and 8

What patterns do you notice?

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

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?

CONSTRUCTING STAIRS

Be aware of the blocks used to build the structure!

AD

D, S

UB

TR

AC

T, MU

LTIP

LY A

ND

DIV

IDE

The four basic operations in math used to solve problems

•Add•Subtract•Multiply•Divide

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

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!

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.

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.

PLA

NT G

RO

WTH

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.

ALGEBRAIC EQUATIONS AND EXPRESSIONS

Algebraic EquationsMathematical 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

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

.

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

PAN BALANCE

Explain how you would solve this equation using a pan balance. Use pictures, numbers and words to explain.

21 + y = 40

CENTERS – DAY 1Group 1 – Details Car Wash•Rachel•Ashley•Brittney•Alyssa

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

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

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

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

CENTERS – DAY 2Group 1 – Details Car Wash•Heidi•Abby•Andrew •Tyler

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

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

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

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

CENTERS – DAY 3

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

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

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

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

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

CENTERS – DAY 4

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

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

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

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

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

CENTERS – DAY 5

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

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

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

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

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

PA

SC

AL’S

TR

IAN

GLE

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.

PROBLEM SOLVING

Maya watched 14vehicles go by herhouse. She noticed thatevery third vehicle was atruck and every fifthvehicle was a motorcycle. The rest were cars. Writea pattern for the vehicles. Of the 14 vehicles, howmany were cars and howmany were trucks?