Year 10 Number and Algebra by Texas Instruments

Students factorise and expand algebraic expressions including monic quadratic expressions; simplify algebraic products and quotients using index laws and apply the four operations to simple algebraic fractions with numerical denominators. They solve linear simultaneous equations, using algebraic and graphical techniques, explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials.

Year 10: Number and Algebra Classroom Activities		Download
Linear and non-linear relationships
Standard ACMNA238 Solve problems involving parallel and perpendicular lines Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: Amazing Locus Students are presented with a challenging problem and provided with the tools to help break it down to see the relatively simple, yet amazing, solution. The problem requires students to calculate gradients, gradients of perpendicular lines, the equation of a line given point and gradient and finally solve a set of equations simultaneously.	ACMNA238 ACMNA237	Download5
Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: String Graphs Part3 This is part three of a four part series. In this activity students find the points of intersection between consecutive straight lines. (Simultaneous Equations). Students use a range of techniques: by-hand, graphically and using CAS. Students then formulate equations to summaries the consecutive points of intersection.	ACMNA237	Download5
Standard ACMNA214 Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software Standard ACMNA238 Solve problems involving parallel and perpendicular lines Standard ACMNA296 Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: Circumcentre Watch Activity Tutorial Coordinate Geometry - Students calculate gradients, perpendicular gradients, equations to lines (given point and gradient), solve simultaneous equations and calculate the distance between two points, and much more! This activity is part of a series on coordinate geometry and includes companion video tutorials and lots of extension opportunities.	ACMNA214 ACMNA238 ACMNA296 ACMNA237	Download1
Standard ACMNA234 Substitute values into formulas to determine an unknown Standard ACMMG243 Formulate proofs involving congruent triangles and angle properties Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: Centroid This activity is aligned with the Circumcentre and Orthocentre activities forming a natural progression for the Euler line activity. Students calculate gradients, equations to lines, solve equations simultaneously and use the calculator's tools to check their answers.	ACMNA234 ACMMG243 ACMNA237	Download3
Standard ACMNA238 Solve problems involving parallel and perpendicular lines Standard ACMNA296 Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: Orthocentre Watch Activity Tutorial Coordinate Geometry - Students calculate midpoints, gradients, perpendicular lines and use simultaneous equations to help determine the location of the orthocentre. A really cool property of the orthocentre is revealed in the extension component of the activity.	ACMNA238 ACMNA296 ACMNA237	Download6
Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: Simultaneous Equatons Elimination Students are provided with 10 pairs of equations to solve by elimination with the assistance of sliders and a pre-made template to make the process easier to understand. Reducing the number of steps makes the concept easier to understand so that focus can be cast upon the coefficients in the equations. An extension option includes solving equations with three variables including the 3D representation of the successive results as the intersection of planes, lines and points.	ACMNA237	Download29
Patterns and Algebra
Standard ACMNA214 Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software Standard ACMNA238 Solve problems involving parallel and perpendicular lines Standard ACMNA296 Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations Standard ACMNA237 Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Activity: Circumcentre Watch Activity Tutorial Coordinate Geometry - Students calculate gradients, perpendicular gradients, equations to lines (given point and gradient), solve simultaneous equations and calculate the distance between two points, and much more! This activity is part of a series on coordinate geometry and includes companion video tutorials and lots of extension opportunities.	ACMNA214 ACMNA238 ACMNA296 ACMNA237	Download1

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Standard ACMNA238

Standard ACMNA237

Activity: Amazing Locus

Standard ACMNA237

Activity: String Graphs Part3

Standard ACMNA214

Standard ACMNA238

Standard ACMNA296

Standard ACMNA237

Activity: Circumcentre

Standard ACMNA234

Standard ACMMG243

Standard ACMNA237

Activity: Centroid

Standard ACMNA238

Standard ACMNA296

Standard ACMNA237

Activity: Orthocentre

Standard ACMNA237

Activity: Simultaneous Equatons Elimination

Standard ACMNA214

Standard ACMNA238

Standard ACMNA296

Standard ACMNA237

Activity: Circumcentre

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