Learning outcomes ALL MUST be able to find at least 5 octagon loops (level 3 – 4) MOST SHOULD begin to find simple relationships from their patterns (level.

Slides:

Advertisements

Similar presentations

To be able to count on or back in equal steps including beyond zero.

Advertisements

FUNCTIONS – Composite Functions RULES :. FUNCTIONS – Composite Functions RULES : Read as f at g of x.

Learning outcomes ALL MUST be able to MOST SHOULD be able to SOME COULD.

Communities of Exemplary Practice Patterns, Formulas, and Problem-Solving Summer 2012 Workshop.

Tangrams: making shapes

Unit 8 Number Sequences Presentation 1Simple Number Patterns Presentation 2Recognising Patterns Presentation 3Geometric Patterns Presentation 4Linear Sequence.

Objective : 1)Students will be able to identify linear, exponential, and quadratic equations when given an equation, graph, or table. 2)Students will be.

Connection Patterns & Functions.2

Input & Output Machines

Jacob’s Birthday Party

Regular Polygons. Introduction A Polygon is a many-sided shape. A Regular Polygon is a many-sided shape with all sides and angles the same. An important.

If you look around your school or at home you will find lots of things to make a rubbing of. Walls have different brick patterns and bricks have different.

Problem Solving Strategies

A Dash of Limits. Objectives Students will be able to Calculate a limit using a table and a calculator Calculate a limit requiring algebraic manipulation.

RECURSIVE FORMULAS In addition to level 3.0 and above and beyond what was taught in class, the student may: · Make connection with other concepts.

Northwest Two Year College Mathematics Conference 2006 Using Visual Algebra Pieces to Model Algebraic Expressions and Solve Equations Dr. Laurie Burton.

RECURSIVE PATTERNS WRITE A START VALUE… THEN WRITE THE PATTERN USING THE WORDS NOW AND NEXT: NEXT = NOW _________.

Series and Summation Notation

This Exploration of Tessellations will guide you through the following: Exploring Tessellations Definition of Tessellation Semi-Regular Tessellations.

Example 1 Use the coordinate mapping ( x, y ) → ( x + 8, y + 3) to translate ΔSAM to create ΔS’A’M’.

Explore Linear Patterns adapted from PBS MATHLINE Mark Jankowski Asheville City Schools Kenan Fellows Class of 2012.

Finding position-to-term rules Find position-to-term rules for these sequences:

Multiplying Binomials Algebra Tiles Box Method FOIL Method.

Gauss’ Law for magnetic fields There are no magnetic “charges”.

Arithmagons – an introduction

Exploring Mathematical Tasks Using the Representation Star RAMP 2013.

Year 6 SATs Booster Maths 8 Sequences Objectives: Recognise and extend number sequences. Generate sequences from practical contexts. Recognise squares.

Rules of Fractions Investigation. What do you understand from this statement? What can we say about this? What do we need to know first? What should we.

Activity Set 2.2 PREP PPTX Visual Algebra for Teachers.

Quadratic Patterns of Change

Learning outcomes ALL MUST be able to draw simple rectangles and diagonals. MOST SHOULD be able to record in table form a set of results to identify relationships.

Chapter 8.1 Solving Equations by Graphing. Page 252- Carina’s Problem Carina wants to determine the area of a garden. The garden has 32 border tiles.

Objectives: Represent linear patterns with equations. Represent linear equations with graphs. Standards Addressed: G: Represent relationships with.

Poster Problems - Walking the Line Slide #1. Poster Problems - Walking the Line Slide #2.

By Eric Greene RMS / I. S. 192 Q. Smart Start Question How would you get the robot to flirt with disaster by touching the edge of the “table” as many.

Shapes And surprises. 2 lines that look the same but will never cross. These is a parallel line, AKA CARDS.

Chapter 8.1 Solving Equations by Graphing. Page 252- Carina’s Problem Carina wants to determine the area of a garden. The garden has 32 border tiles.

Proposal. The interactive window display is a motion sensing screen that looks like a huge box from inside with an open face for display.

In Chapter 3, you studied different ways to represent patterns. You organized information into tables, graphed information about patterns, and learned.

The Practice of Statistics, 5th Edition Starnes, Tabor, Yates, Moore Bedford Freeman Worth Publishers CHAPTER 1 Exploring Data 1.2 Displaying Quantitative.

Algebra n th Term. Algebra When we are working to find the n th term we are looking to find patterns in number sequences.

2 by to infinity and beyond!!! Primary Mathematics Conference National STEM Centre,York The pi Piper.

Pre-Algebra 12-3 Other Sequences Check 12-2 HOMEWORK.

Algebra Relationships. Note 1: Linear Patterns Linear Patterns are sequences of numbers where the difference between successive terms is always the same.

Learn to find terms in an arithmetic sequence.

13-3 Other Sequences Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

MATLAB Lab Simulating Billiard Game Modify hitball.m and myball.m to simulate 3-cushion billiard game. Rules: –two players –three balls.

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n) Algebra S9 Day 21.

Multiplication and Division 13 Patterns and Algebra 18 Multiplying by 5 - additively Multiplying by 5 – multiplicatively.

Place Value 27 Fractions and Decimals 24 Patterns and Algebra 27.

Geometry 3-4 Polygon Angle Sum Theorems. Vocabulary.

Glazing Pottery/Ceramic Pieces in Mrs. Walker’s class.

Math Vocabulary Number and operations Data Analysis and Probability Problem.

Презентацию подготовила Хайруллина Ч.А. Муслюмовская гимназия Подготовка к части С ЕГЭ.

Rules and Function How do we determine a rule in a function table?

Exploring Algebraic and Geometric Relationships

Explore Linear Patterns adapted from PBS MATHLINE

Find the area of the region enclosed by one loop of the curve. {image}

אביבה אלקלעי, ראש היחידה לכניסה להוראה, המכללה האקדמית אחווה

מהו הסטאז'? המכללה האקדמית תלפיות.

Embedding MATHS 300 in Secondary Programs 2018

Unit 1: Generate and use simple formulae

I can recognise all coins and notes up to £20 or more.

Lesson – How Can I Make Predictions

Visual Algebra for Teachers

Generate and use simple formulae

To be able to identify lines of symmetry

Building pattern  Complete the following tables and write the rule 

Presentation transcript:

Learning outcomes ALL MUST be able to find at least 5 octagon loops (level 3 – 4) MOST SHOULD begin to find simple relationships from their patterns (level 4 – 5) SOME COULD explore relationships set in general terms using algebra. Level (5 – 6)

Octagon FLOWER BEDS! Alan Titchmaths (famous celebrity gardener) is designing a new flowerbed for his TV show. Use octagon tiles to make this flowerbed. Paving stones

Flower beds – the rules! Edges must touch like this… NOT like this… or this…

Flowerbeds – the rules! Each tile must touch two others like this….. NOT like this…

Flower beds Use up to 10 tiles. Make different Octagon loops. Display your patterns clearly.

Flower beds

Not all flower beds have line symmetry. …this one has rotational symmetry. Flower beds

Investigation. This pattern uses 6 tiles. It has 10 free edges on the inside. It has 26 free edges on the outside. 26 outside edges 10 inside edges Flower beds

Investigation. Count the edges on all your patterns Record all your results in a table. 26 outside edges 10 inside edges Flower beds

PatternNo. of tiles Inside edges Outside edges Total edges Always even? n6n 3n + 8 3n - 8 Flower beds

Flower beds Alan Titchmaths wants to know how many free edges there will be altogether if he uses 100 tiles! Use your findings to help him. “For 100 tiles you will have have….” free edges