F-10 Curriculum (V8)
F-10 Curriculum (V9)
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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 ...
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 ...
Patterns can be represented in several ways and this unit will explore five different representations.
This activity challenges students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task asks students to stop and think and then make corrections to ensure the rule works in all cases (generalise).
In this lesson, students are introduced to solving one-variable linear expressions using a variety of concrete materials, which are related to authentic contexts to enhance their understanding.
In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.
This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.
The following is a suggested teaching and learning sequence for using Algebra Tiles.
This planning resource for Year 9 is for the topic of Formulate and manipulate expressions. Students move beyond expanding and factorising linear expressions, such as 3(2x – 1) or 4x + 6, to working with monic quadratic expressions (that is, where the coefficient of the square term is 1). This involves expanding expressions ...
This planning resource for Year 7 is for the topic of Use variables. Students students recognise pronumerals and variables in formulas they have been exposed to. They are presented real-life scenarios and explore the relationship between variables using algebraic notation as a representation.
This planning resource for Year 10 is for the topic of Formulate and manipulate expressions. Students extend the distributive law to expanding the product of two binomials (ax + b)(cx + d) and the factorisation of non-monic quadratic expressions with integer coefficients. Students practise algebraic manipulation involving ...
This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.
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.
This planning resource for Year 8 is for the topic of Linear expressions and equations. Students build on their knowledge of the order of operations, simplifying algebraic terms and their prior knowledge of the arithmetic laws. Students will now create and rearrange linear expressions, as well as expand and factorise them.
This planning resource for Year 10 is for the topic of Linear expressions and equations. Students have developed confidence from their prior learning to algebraically solve linear equations of the form ax + b = c and can represent the solution graphically. They extend this to solving pairs of simultaneous linear equations ...
Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.
This lesson explores the geometry of cutting polygons in different ways and using algebra to express subsequent findings. Students use one straight cut to divide a convex polygon into two new polygons. They make generalisations about the total number of sides of the two new polygons, and about the number of different combinations ...
This sequence of two lessons focuses on developing students' understanding of the properties of odd and even numbers. Students explore the results of adding and subtracting odd and even numbers and use these results to make generalisations. They then apply this generalisation to solve problems and to explore patterns. The ...
This lesson explores algebra by generalising results from arithmetic used in 'think of a number' games. Students connect arithmetic operations with algebraic notation and visualisations. The lesson begins with an observation made using arithmetic that students then justify and extend using algebra. The lesson is outlined ...
In this sequence of two lessons, students investigate how far they can jump and explore the jumping distance of a range of animals. Students first estimate the distance they can jump, then undertake an investigation by jumping using a range of techniques. Class data is recorded and displayed and students compare their jumping ...