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Algebra: Patterns & Graphs

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Finding the rule for patterns	Powerpoint
Making up your own rules & patterns \| web page	Powerpoint
Finding a rule for patterns worksheets (as a webpage)	Word Doc

NZC Ref

Achievement Objective:

NA3-8

Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.

NA4-9

Use graphs, tables, and rules to describe linear relationships found in number and spatial patterns.

NA5-9

Relate tables, graphs, and equations to linear and simple quadratic relationships found in number and spatial patterns

Teaching notes:
When introducing patterns and producing tables, plot points on a graph simultaneously from the start of the topic to link patterns/tables/graphs.

Topic

Learning outcomes

Text

Resources & Activities

Competencies

Patterns

Recognise a sequential pattern.(3)

Identify the repeating element.(3)

Use tables, graphs, diagrams and word rules to find and describe relationships in patterns. (3)

Finding the next terms in a sequence of numbers or diagrams where the pattern has a common difference or a common multiple but not a combination.(4)

Completing a table that represents a pattern.(4)

Describing a pattern in words or symbols.(4)

Giving the rule for a pattern using correct algebraic notation (not words)(4)

Completing a table with unknowns in both columns.

C22

Extension:
Matilda's Waltz

Co-ordinates pictures (wksht)

Maths Web links
Patterns
Hundreds-patterns
Building-patterns-constantly

MS-W1, RP

Plotting

Plotting co-ordinate pairs on a full Cartesian graph

Plotting the points on a graph for an algebraic pattern

Interpreting simple relationships illustrated by points on a graph.

C26

MCTP Algebra walk p213

BillyBug/bugcoord.html

Battleships

Co-ordinate treasure hunt

R-AL,NM
LST-SV,IN
T-MC

PC-CT,EE
LST-IN,SV

2D Graphs

Giving a simple interpretation of changes in value represented on a graph.

Relating the features of a graph to real life situation.

Drawing a graph that represents changing everyday situations

Telling stories from graphs.

Interpreting and using information about speed from a graph.

C27

How things Grow (A,M,E)

MCTP Phonebox (A,M,E)
Hunger Levels (A,M,E)
Feelings (A,M,E)
Bath tub tell a story (Archimedes)

Build a rollercoaster

Filling glasses: find the right glass | find the right graph | create the right glass | create the right graph | graphing and comparing

LST-IN, WS, V

T-Q
PC-CD,CT
R-AL
LST-IN,V,DF

Maths Web links

Drive A good game

Finding Rule

Finding the rule for more difficult number patterns.

Justifying that the rule holds

C27

Clickview- senior maths library enter the maths zone - algebra

Mixed activities

Bob the builder, Sky TV, Postman Pat (A,M,E)

p128 Maths Plus 8 (A,M)

T-PS
LST-WS

Quadratic Patterns

Using difference tables with linear and quadratic relations.

Recognise the features of tabular, graph and equation representations of linear and quadratic relationships.

Use a table, graph or equation to represent the relation and solve problems.

The Truth about Triangles and Squares

Tukutuku Panels

Maths Web links
Holistic Algebra
Linear Graphs and Patterns

Cups-and-cubes Algebra and expressions Matilda's Waltz

Jump down to... Patterns | Coordinates | Sketching Graphs | Quadratics

1

Algebra Patterns.
Introduction, continuing patterns - linear & non-linear.
Finding the rule for patterns.
Pattern to table to rule.
Lesson sequence | I can Do's

MR Notes | Blank Notes | Ans