Sunday, March 3, 2024

# Patterns And Algebra Activities Stage 3

## Patterns Algebra Stage 3 Year 6 Alice Vigors

Math Antics – Number Patterns
• Slides: 15

Patterns & Algebra Stage 3, Year 6 Alice Vigors 2017

Learning Sequence Can we use the Cartesian coordinate system? Session 1 Session 2 Can we use function tables with the Cartesian coordinate system? Session 3 Session 4 ü ü Alice Vigors 2017 ü ü describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA 3 -1 WM selects and applies appropriate problem-solving strategies, including the use of digital technologies, in undertaking investigations MA 32 WM gives a valid reason for supporting one possible solution over another MA 3 -3 WM analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane MA 3 -8 NA

Session One Can we use the Cartesian coordinate system? Alice Vigors 2017

Can we use the Cartesian coordinate system? Use the clues to locate the fruit or vegetable on the Cartesian plane. Identify the ordered pairs for each. Alice Vigors 2017

Session Two Can we use the Cartesian coordinate system? Alice Vigors 2017

Can we use the Cartesian coordinate system? Abigail is recording information about her pets on a coordinate plane. Each ordered pair shows the age and the mass , respectively, of one of her pets. Ginger: 3, 4 Daisy 2, 20 Buddy 7, 8. Abigail also has a dog named Snuggles that is 1 year younger than Buddy and has 4 times Buddys mass. Alice Vigors 2017

Alice Vigors 2017

## Activities To Support The Strategy

In Stage 3, students will typically use trial-and-error methods to find solutions to number sentences. They need to be encouraged to work backwards and to describe the processes using inverse operations. Students need to be able to justify their solutions and communicate their strategies using mathematical language.

## Making Patterns Through Activities

Making patterns is the next step in mastering this math skill. Kids that can create patterns demonstrate an understanding of the skill as they apply it to each situation. When making patterns, plan on kids moving around a lot and using their hands as they apply what they learn to each activity. You can observe skill levels and understanding at a glance with these fun, hands-on activities for making patterns.

#### Activities for Making Patterns

• To create patterns, kids need to learn how to identify characteristics and sort them into like groups. Patterns and sorting activities will help kids learn how to make a pattern.
• Get ready for some stamping fun using bingo markers. This is a fun and easy way for kids to practice patterns, using different colors of bingo markers to create their very own patterns.
• Kids enjoy making books so have them make their own book of patterns. They can practice using different colors, shapes, and pictures to make a collection of patterns.
• Blocks and cubes encourage kids to make patterns. Patterns made with these math manipulatives can be color patterns, shape patterns, and even number patterns!

Learning what makes a pattern and then practicing it is important in mastering this math skill. Pattern activities give kids a hands-on way to practice and demonstrate their skills. Since its hands-on, its engaging for kids, helping to keep learning fun and exciting.

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## How To Begin Teaching Patterns

Patterns can be found everywhere, but your child may need your help identifying them as such. When teaching your child to make or identify patterns, keep in mind how we perceive them.

Typically, when we think of patterns, we think in the most basic terms: repeating a set of items in a particular sequence. For example, apple, banana, apple, banana, apple is a basic ABA pattern. Apple, apple, banana, apple, apple, banana is a basic AAB pattern.

But if you look closely, there are other elements that make that a pattern. You could think of it as red, yellow, red, yellow, red or as sphere, crescent, sphere, crescent, sphere as well.

Keep this in mind when creating or completing patterns with your child so you can mix things up and make your home lessons more varied and interesting.

Other differentiators you can think of calling out when asking your child to make a pattern with items or images, depending on your child’s readiness:

• Size
• Temperature
• Categories
• Uses
• Flavor
• Smells

## Level 1 Patterns And Relationships

 Achievement Objectives NA1-2 recognise that counting tells how many objects are in the set irrespective of how they are arranged or the order in which they are counted. solve problems involving one more or less to a given set using their knowledge of the forward and backward number sequences skip count in 2s see what a number pattern is be able to guess and check the next number in a pattern skip count in 2s, 5s, and 10s systematically count to establish rules for sequential patterns skip count in 2s, 5s and 3s record patterns on grid paper make predictions about missing sections of a pattern use words to describe linear patterns “read” a repeating pattern and predict what may come next create a repeating pattern with two elements create a repeating pattern with three elements

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## Fun Ways To Teach Kids About Patterns

Children love to find patterns in the world around them, as they reinforce feelings of safety and predictability. In fact, you may even find that altering certain patterns of colors or actions in a child’s routine will inspire protest. Beyond this, though, there are educational benefits to incorporating patterns into home activities and lessons.

## Learning Patterns Through Activities

To discover patterns, kids need time and the right activity. Pattern activities help kids learn what they need to know in a fun and engaging way. Whether its with a game or with a printable, these activities will help kids learn this important math skill. Kids will learn to observe the characteristics of patterns and identify what comes next in a sequence. Start with simple patterns, such as an A-B-A-B pattern. Once thats mastered, kids can progress to more intricate patterns and even a growing pattern.

#### Activities for Learning Patterns

• Kids love to have fun when theyre learning. One way to have fun when teaching patterning is with a good game or hands-on activity! Have kids work individually or join together into a group and have fun identifying patterns with games.
• Give them practice identifying patterns that they see outside or from the ones that you create. Show them a pattern using manipulatives or on cards and ask kids to describe what they see.

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## Developmental Sequence Of Patterning Skills

There are many different levels to teaching and learning pattern skills, heres the developmental sequence for teaching patterning skills to your Preschool or Pre-K students.

• Stage 1: Recognize a pattern
• Stage 2: Describe a pattern
• Stage 3: Copy a pattern
• Stage 4: Extend a pattern
• Stage 5: Create a pattern

The most basic patterns include two items and are commonly referred to as AB patterns. More complex patterns include ABC, ABC AABB,AABB AAB,AAB ABB, ABB.

It can take months or even an entire school year for preschoolers to achieve mastery of patterning. For this reason, its important to provide your students with plenty of patterning practice all year long.

The Preschool Unit for Preschool can help you accomplish the goal of providing your little learners with opportunities to practice their patterning skills all year long.

## National Numeracy Learning Progression Links To This Mathematics Outcome

When working towards the outcome MA18NA the sub-elements of Quantifying numbers , Multiplicative strategies and Number patterns and algebraic thinking describe observable behaviours that can aid teachers in making evidence-based decisions about student development and future learning.

The progression sub-elements and indicators can be viewed by accessing the National Numeracy Learning Progression.

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## Activity 3 Looking For A Pattern

Use Newmans prompts as a whole class to model how to start thinking about solving the problem. Continue with the same process as before, only this time introduce students to the strategy of looking for a pattern.

Next steps

Provide mulitple examples where students can talk through the different problem solving strategies they could use. Past NAPLAN papers provide teachers with a good bank of questions to use for this process.

Always ask students if there is another way to solve the problem. Some strategies may be more efficient than others or may be more appropriate, either way, students need to develop a bank of problem solving strategies to use.

## Coloring 8+ Pages Patterns And Algebra Activities Stage 3

Coloring 14+ pages patterns and algebra activities stage 3 Activity 3 Looking for a pattern Use Newmans prompts as a whole class to model how to start thinking about solving the problem. These plans can be seen below and downloaded. This worksheet has 2-digit number lists. See also patterns and patterns and algebra activities stage 3 Stage 4 – algebraic techniques.

One student reads the direction for making a pattern from the number chart while the other student follows the direction and makes the pattern using counters or writing numbers. In Mathematics Year 3 Number and Algebra Patterns and algebra.

Matchstick Patterns 1 Worksheet Edplace 3 Algebra Talking.

 Continue with the same process as before only this time introduce students to the strategy of looking for a pattern. Matchstick Patterns 1 Worksheet Edplace Patterns And Algebra Activities Stage 3 Pages Format: JPEG Open Matchstick Patterns 1 Worksheet Edplace

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## Pattern Activities For Preschool

Looking for some fun ways to teach patterning skills in your Preschool or Pre-K classroom? Learning about patterns is a basic math skill that will help your kids develop more advanced math concepts later.

But how do you teach patterning skills to young children? Youre in luck! Here are some fun, hands-on activities you can use in your preschool classroom to introduce and practice those important patterning skills to your little learners.

## Level 3 Patterns And Relationships

 Achievement Objectives consolidate understanding of simple properties of addition, subtraction, multiplication and division discover and use some more complex properties of addition, subtraction, multiplication and division predict the next term of a spatial pattern find a rule to give the number of matchsticks in a given member of the pattern find the member of the pattern that has a given number of matchsticks Continue a linear growth pattern from a few examples. Find the recursive rule of a linear growth pattern from table of values. Explain why the graph of relationships in the pattern is linear. Use the table and recursive rule, and/or the graph to make predictions about other terms of the pattern. Attempt to create a general rule that connects term number and number of tiles for any term of the pattern.

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## Why Is It Important To Teach Patterns

You know that teaching patterning is necessary, but what about it makes patterns so important? Why does it matter if kids can identify what comes next in a Red-Blue-Red-Blue pattern? Pattern activities help kids develop their number sense and observation skills. When a child looks at a pattern, they observe what they see and make predictions for what should come next. This math skill serves as an essential foundation in number sense. The observation skills kids develop with patterns are used for more complex math skills. Since patterns are an important foundational math skill, kids must learn and master the basics. That knowledge can then be built upon, helping kids learn more complicated math concepts.

## Level 2 Patterns And Relationships

 Achievement Objectives partition numbers less than 10 know and use “teen” facts solve addition problems by making a ten, or making a decade solve addition problems involving measurements draw the next shape in a pattern sequence see how the pattern continues from one shape to the next draw up a table of values identify patterns in number sequences systematically “count” to establish rules for sequential patterns use rules to make predictions investigate and recognise the results of adding and subtracting combinations of odd and even numbers state generalisations about the addition and subtraction of combinations of odd and even numbers apply generalisations about odd and even number patterns to problem solving situations create, describe and continue a single-attribute repeating pattern identify the unit of repeat in a repeating pattern, and apply known patterning language identify and describe the composite pattern describe and explain the rule for the pattern in the composite pattern recognise situations in which there is a relationship between two number sets transfer mapped values onto a graph explain a simple relationship graph with reference to mapped values

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## Activity 1 Inverse Operations

1. Pose this problem for students to solve:

• I am thinking of a number.
• When I take 9 away from the number my answer is 19.
• What number am I thinking of?

Students discuss and write a number sentence that could solve the problem. Compare responses. Determine that the number sentence could be either addition or subtraction, e.g.

Discuss what is meant by inverse operations.

2. Demonstrate how to complete a number of calculations working backwards. Talk aloud the strategy using ½ mathematical language and point out the inverse operations being used.

3.Students complete number sentences where the operation sign is missing, e.g.

## Patterns And Algebra Worksheets

Math patterns example 1 | Applying mathematical reasoning | Pre-Algebra | Khan Academy

2 patterns and algebra worksheets linked to the Australian Curriculum.

This teaching resource could be used in a variety of ways when teaching patterns and algebra. Some suggestions include:

• pre- and post-testing

This teaching resource pack includes worksheets addressing the following concepts:

• number patterns.

• the year level displayed at the top of the sheet
• no year level displayed at the top of the sheet to use for differentiation.

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Activities to support the strategy. Describe the pattern in words and algebraic symbols. Stage 4 – algebraic techniques – solving linear inequalities. Working on these Stage 3 problems will help you develop a better understanding of patterns and sequences. Patterns and algebra Stage 1 – Plan 1 DOCX 32KB. Stage 3 – number sentences.

Sequences From Patterns And Term To Term Rule Stage 2 – Patterns and Algebra Missing Addends.

 WEEKLY Maths PROGRAM Stage 3 Term 2 Wk 2 2017pdf. Sequences From Patterns And Term To Term Rule Patterns And Algebra Activities Stage 3 Pages Format: Doc

Leanne Williamson From Thomas Acres Public School Has Written A Terrific Stage 2 Patterns And Algebra Problem Solvin Algebra Problems Algebra Math Curriculum Number Patterns 1 FREE.

 Patterns and Algebra 2 Number and Algebra Jennys Marvellous Maths Links provides links to IWB and interactive activities for the NSW Maths Syllabus according to its Strands and Outcomes. Leanne Williamson From Thomas Acres Public School Has Written A Terrific Stage 2 Patterns And Algebra Problem Solvin Algebra Problems Algebra Math Curriculum Patterns And Algebra Activities Stage 3 Pages Format: JPG

## Pattern Activities That Kids Love

Teaching patterning to kids requires the right tools and activities. When learning this math skill, kids need to see examples of patterns as they identify characteristics and predict what comes next. After identifying a pattern, kids can demonstrate their mastery of this skill by creating their very own patterns with a variety of math manipulatives. No matter what stage of learning kids are in, whether theyre beginners or almost masters, these pattern activities will help kids learn patterns and apply that knowledge to other math situations.

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## Benefits Of Learning About Patterns

Encouraging a childs understanding of patterns contributes to the development of mathematical thinking, including counting, problem-solving, drawing inferences about number combinations, and even algebra.

Patterns are also essential to music education. Cultivating pattern awareness can develop a sense of rhythm and compositional awareness that sets the stage for music appreciation and participation.

Additionally, some scientific studies suggest that the inherent relationship between math and music can be fostered at a very young age, as infants have been known to respond to aural and somatic patterns as much as older children respond to visual patterns.

## Patterns : Geometry And Patterns : Third Grade Math Worksheets

Below, you will find a wide range of our printable worksheets in chapter Patterns of section Geometry and Patterns. These worksheets are appropriate for Third Grade Math. We have crafted many worksheets covering various aspects of this topic, number patterns, geometric pattern, and many more. We hope you find them very useful and interesting.

A brief description of the worksheets is on each of the worksheet widgets. Click on the images to view, download, or print them. All worksheets are free for individual and non-commercial use.

Please visitGeometry and Patterns to browse more worksheets in the same area.View the full list of topics for this grade and subject categorized bycommon core standards or in a traditional way.