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LEARNING INVESTIGATION YEAR 7 MATHEMATICS OVERVIEW

Learning investigation/Slide show

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Authentic Maths problem solving

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  • 1. LEARNING INVESTIGATIONYEAR 7 MATHEMATICS OVERVIEW

2. COMMUNICATING REGULARLY Create Engagement. Please contact us throughhttp://living tree.com/teachers?utmsource= 3. THE MELBOURNE DECLARATION Literacy and numeracy and knowledge of key disciplines remain the cornerstone ofschooling for young Australians. Schooling should also support the development ofskills in areas such as social interaction, cross- disciplinary thinking and the use ofdigital media, which are essential in all 21st century occupations. As well asknowledge and skills, a schools legacy to young people should include nationalvalues of democracy, equity and justice, and personal values and attributes such ashonesty, resilience and respect for others. 4. OVERVIEW OF UNITS FOR YEAR 72013Year 7OverviewOf UnitsUnit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8Through theproficiencystrands-UnderstandingFluency,Problemsolving andreasoning,students haveopportunitiesto developunderstandingsof*Number lawsand properties*Integers,comparing andordering*Predictingoutcomes,using data,expressingprobabilities*Fractionsexploringconnectionswith decimals*Integers-calculatingwith additionandsubtraction*Triangles andquadrilaterals*PrismsFractions andpercentages*Cartesianplane, Plottingpoints*Symmetry,identifying lineand rationalsymmetry*Statistics-describingandinterpretingdata*Perimeter andArea*Variables-whenevaluating*Index notation*Fractions-additionandsubtractions*Index notationwritingproducts ofprimesRatio-identifyingequivalentratios*Linearequations-balance* Statisticsdisplaying data*Fractions anddecimals-multiplyingand dividing*Linearequations-solvingequations*Angles-Classifications*Volume*Integers,comparing andordering*Finical-calculatingbest buysusingpercentages* Time graphs*Number andStatistics-estimate,revisedata*Fractions andpercentages*Area andangles*Money andfinancialmathematics 5. LEARNING THROUGH PROBLEMSOLVING According to Blooms Taxonomy, human thinking skills can be broken down into thefollowing six categories.1. Knowledge2. Comprehension3. Application4. Analysis5. Synthesis6. Evaluation 6. TEACHER GUIDED PROBLEMSOLVING1. The first step in problem solving is understanding the problem.The students discuss this among themselves first and then withtheir teacher2. The second step is Making Connection to maths that theyalready know, during their collaborative discussions.3. The third step is investigating Possibilities using strategies theyalready know. We can see in the clip some are using picturesothers patterns and diagrams.4. The fourth step is Teacher Feedback when the student willdiscuss their method of coming up with the answer.5. The class will then Compare Strategies and answers to theproblem to make sure they came up with a satisfactory answer.Lastly the whole class reflects on what they have learnt. 7. EXAMPLE OF AN INVESTIGATION 8. AUSTRALIAN NATIONAL CURRICULUM Year 7 Achievement Standards By the end of Year 7, students solve problems involving the comparison, addition and subtraction ofintegers. They make the connections between whole numbers and index notation and the relationshipbetween perfect squares and square roots. They solve problems involving percentages and all fouroperations with fractions and decimals. They compare the cost of items to make financial decisions.Students represent numbers using variables. They connect the laws and properties for numbers toalgebra. They interpret simple linear representations and model authentic information. Students describedifferent views of three-dimensional objects. They represent transformations in the Cartesian plane. Theysolve simple numerical problems involving angles formed by a transversal crossing two parallel lines.Students identify issues involving the collection of continuous data. They describe the relationshipbetween the median and mean in data displays. Students use fractions, decimals and percentages, and their equivalences. They express one quantity as afraction or percentage of another. Students solve simple linear equations and evaluate algebraicexpressions after numerical substitution. They assign ordered pairs to given points on the Cartesianplane. Students use formulas for the area and perimeter of rectangles and calculate volumes ofrectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formedby a transversal crossing parallel line. Students determine the sample space for simple experiments withequally likely outcomes and assign probabilities to those outcomes. They calculate mean, mode, medianand range for data sets. They construct stem-and-leaf plots and dot-plots. 9. CONCLUSION*Monash University academic Professor PeterSullivan.Why Investigations?*The Australian Educational Review.*Teaching Mathematics: Using informedstrategies. 10. THANK YOU Thank you for coming to Parent Information Evening, please feel free to ask the staffany questions or concerns you may have. Dont forget to logon to http://livingtree.com/teachers?utmsource=