Substitute values into formulas to Apply logical reasoning, including Describe the results of two- and Create print, visual and digital determine an unknown the use of congruence and three-step chance experiments, materials similarity, to proofs and numerical both with and without Linear and non-linear relationships Write reports, including an exercises involving plane shapes replacements, assign probabilities evaluation and conclusion Solve problems involving linear to outcomes and determine Pythagoras and trigonometry equations, including those derived Communicate using mathematical probabilities of events. Investigate from formulas Solve right-angled triangle terminology the concept of independence problems including those involving Real numbers (10a) Numeracy Use the language of direction and angles of elevation ‘if ....then, Define rational and irrational Understand data in real-world to ‘given’, ‘of’, ‘knowing that’ and depression numbers and perform operations applications investigate conditional statements Pythagoras and trigonometry (10a) with surds and fractional indices ICT capability and identify common mistakes in Establish the sine, cosine and area interpreting such language Use spreadsheets and graphing rules for any triangle and solve software to model real-world data Data representation and related problems interpretation Use interactive manipulatives to Use the unit circle to define generate experimental data Use scatter plots to investigate and trigonometric functions, and graph comment on relationships between Critical and creative thinking them with and without the use of two numerical variables Evaluate approaches to problem digital technologies Investigate and describe bivariate solving Solve simple trigonometric numerical data where Design an investigation equations the independent variable is time Ethical behaviour Apply and Pythagoras’ theorem Evaluate statistical reports in the Evaluate media reports that refer to trigonometry to solving media and other places by linking data problems in claims to displays, statistics and triangles representative data Chance (10a) Investigate reports of studies in digital media and elsewhere for information on their planning and implementation Data representation and interpretation (10a) Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship, allowing for variation
Substitute values into formulas to determine an unknown Linear and non-linear relationships Solve problems involving linear equations, including those derived from formulas Real numbers (10a) Define rational and irrational numbers and perform operations with surds and fractional indices Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes Pythagoras and trigonometry Solve right-angled triangle problems including those involving direction and angles of elevation and depression Pythagoras and trigonometry (10a) Establish the sine, cosine and area rules for any triangle and solve related problems Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies Solve simple trigonometric equations Apply Pythagoras’ theorem and trigonometry to solving problems in triangles Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language Data representation and interpretation Use scatter plots to investigate and comment on relationships between two numerical variables Investigate and describe bivariate numerical data where the independent variable is time Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data Chance (10a) Investigate reports of studies in digital media and elsewhere for information on their planning and implementation Data representation and interpretation (10a) Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship, allowing for variation Create print, visual and digital materials Write reports, including an evaluation and conclusion Communicate using mathematical terminology Numeracy Understand data in real-world applications ICT capability Use spreadsheets and graphing software to model real-world data Use interactive manipulatives to generate experimental data Critical and creative thinking Evaluate approaches to problem solving Design an investigation Ethical behaviour Evaluate media reports that refer to data
ac_maths_yr10_unit_overview.docx