Mathematics / Year 7 / Number and Algebra / Patterns and algebra

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Curriculum content descriptions

Create algebraic expressions and evaluate them by substituting a given value for each variable (ACMNA176)

Elaborations
  • using authentic formulas to perform substitutions
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Substitution,  Mathematical expressions

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17 direct matches to ACMNA176 | 3 other related resources
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Video

What are pixels?

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Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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Online

Finding the shortest path

  • TLF-IDA003424

In this lesson, students will experiment with different ways of creating a path between two points with algorithm design and generalizing patterns. From the patterns, they will be able to generate an algorithm for efficiently traveling through cities in a region.

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Text

7A01A Algebra - Ochre Education

  • TLF-IDA005470

This eight lesson unit of work focuses on algebra. Students use pronumerals and variables to generalise expressions, explore substitution of pronumerals, write and interpret algebraic expressions in words and apply numerical and algebraic operations to pronumerals and expressions. The unit includes a slide show for structuring ...

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7A02A Equations - Ochre Education

  • TLF-IDA005464

This seven lesson unit of work focuses on equations. Students write algebraic equations from worded descriptions and identify solutions by inspection using addition and multiplication facts, apply numerical and arithmetic operations to numerical and algebraic equations, solve and verify solutions to equations, describe ...

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Text

Algebra Tiles: Learning Sequence - Calculate

  • TLF-IDA004306

The following is a suggested teaching and learning sequence for using Algebra Tiles.

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Text

The Geometry and Algebra of Honeycomb - Calculate

  • TLF-IDA004372

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

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Text

Linear Algebra Year 7 - Calculate

  • TLF-IDA004298

The focus of this activity is to find out what students know about linear equations and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Text

Representing Patterns (Year 7) - Calculate

  • TLF-IDA004259

Patterns can be represented in several ways and this unit will explore five different representations.

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Text

Representing Patterns - Calculate

  • TLF-IDA004257

In this activity, students examine the representation of patterns, including as diagrams, charts and formulas.

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Online

Formulate and manipulate expressions: Year 7 – planning tool

  • TLF-IDA003257

This planning resource for Year 7 is for the topic of Formulate and manipulate expressions. Students find unknown quantities in numerical equations involving a combination of operations.

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Online

Graphs: Year 7 – planning tool

  • TLF-IDA003256

This planning resource for Year 7 is for the topic of Graphs. Students are introduced to the four-quadrant Cartesian plane. The format of the coordinates should be explained and demonstrated; coordinates do not have to be an integer value.

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Online

Expressions, formulas and substitution

  • TLF-IDA003497

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Online

Patterns, rules and graphs

  • TLF-IDA003487

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

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Online

Formulating algebraic expressions

  • TLF-IDA003486

This lesson encompasses students’ introduction to formal algebraic concepts. Students will be introduced to the concept of variables and will explore the construction of algebraic expressions using concrete materials. Students explore a range of authentic contexts and hands-on materials in this lesson to ensure their initial ...

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Video

Algebra basics video

  • TLF-IDA003312

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Video

Algebraic equations: video and teaching guide

  • TLF-IDA003037

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

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Interactive

Squirt: three containers

  • TLF-IDA002708

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

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Video

BTN: What is the GST?

  • TLF-IDM021150

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Video

Catalyst: Graham's number

  • TLF-IDM015447

If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...

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Online

Sphero slalom lesson

  • TLF-IDA002721

In this lesson students explore slalom sports and how competitors maximise speed when completing a course. Students research different slalom sports and then share their findings with the class. Students investigate the impact of distance and friction on time to complete a course through digital and unplugged activities. ...

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