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Irene McCormack Catholic CollegeMathematics Learning AreaYear 7 Mathematics Extension Program2020Resource MaterialsExcel Year 7 Mathematics Extension Revision and Exam WorkbookMathspaceAssessments LEARNING BEHAVIORS5%TESTS (3)21%INVESTIGATION7%EXAM (Semester 1 Content Only)8%SUB TOTAL41%SEMESTER TWOLEARNING BEHAVIORS5%TESTS (4)28%EPW (2)14%EXAM (Semester 1 & 2 Content)12%SUB TOTAL59%YEAR TOTAL100%Year 7 Achievement StandardNumber and AlgebraBy the end of Year 7 students solve problems involving the comparison, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. Students use fractions, decimals and percentages, and their equivalences. They express one quantity as a fraction or percentage of another. They solve problems involving percentages and all four operations 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 to algebra. They assign ordered pairs to given points on the Cartesian plane. They interpret simple linear representations and model authentic information. They solve simple linear equations and evaluate algebraic expressions after numerical substitution.Measurement and GeometryStudents describe different views of three-dimensional objects. They represent transformations in the Cartesian plane. They solve simple numerical problems involving angles formed by a transversal crossing two lines. Students use formulas for the area and perimeter of rectangles and calculate volumes of rectangular prisms. Students classify triangles and quadrilaterals. They name the types of angles formed by a transversal crossing parallel lines.Statistics and ProbabilityStudents identify issues involving the collection of continuous data. They construct stem-and-leaf plots and dot plots. They describe the relationship between the median and mean in data displays. They calculate mean, mode, median and range for data sets. Students determine the sample space for simple experiments with equally likely outcomes and assign probabilities to those outcomes.Term 1WeekContentAustralian Curriculum Content DescriptorRESOURCESTest 11 – 5 Whole Numbers, Index Notation, Intro to FractionsNumbers revisionPlace valueExpanded NotationThe four operationsOrder of operationsProblem solving with whole numbers.(ACMNA122) Identify and describe properties of prime, composite, square and triangular numbers (ACMNA150) Investigate and use square roots of perfect square numbers (ACMNA149) Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA151) Apply the associative, commutative and distributive laws to aid mental and written computation Excel 7 ExtensionChapter 11.1 – 1.12Excel 7 ExtensionChapter 22.1 – 2.5Test 2 6 – 10 Fractions and DecimalsWeek 8 NAPLAN readiness testInvestigation 1: Extended understanding of the relationship between decimals, fractions and percentages(ACMNA152) Compare fractions with related denominators and locate and represent them on a number line (ACMNA155) Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA153) Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA156) Round decimals to a specified number of decimal places (ACMNA154) Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA157) Connect fractions, decimals and percentages and carry out simple conversions Excel 7 ExtensionChapter 22.7 – 2.15Excel 7 ExtensionChapter 33.1 – 3.9Term 2WeekContentAustralian Curriculum Content DescriptorResourcesTest 31 - 5Basic arithmetic and the calculator, percentages and ratiosWeek 3 - Year 7 NAPLAN Testing(ACMNA154) Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA155) Express one quantity as a fraction of another, with and without the use of digital technologies(ACMNA157) Connect fractions, decimals and percentages and carry out simple conversions (ACMNA158) Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies (ACMNA174) Investigate and calculate 'best buys', with and without digital technologies (ACMNA173) Recognise and solve problems involving simple ratios Excel 7 ExtensionChapter 44.1 – 4.10Excel 7 ExtensionChapter 55.1 – 5.7Semester 1 Exam 7 – 8(All concepts covered in Semester 1)Chapters 1 – 5Test 46and 9-10IntegersCompare, order, add and subtract integers (ACMNA280)Introduction to integersIntegers on Number linesAddition and Subtraction of IntegersMultiplication and Division of IntegersExcel 7 ExtensionChapter 66.1 – 11.10Term 3WeekContentAustralian Curriculum Content DescriptorResourcesTest 51 - 4Cartesian (number) plane, shapes, lines and transformationsLines, angles, shapes revisionLinesAnglesTwo-dimensional shapes(ACMNA178) Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMMG181) Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries(ACMMG161) Draw different views of prisms and solids formed from combinations of prismsExcel 7 ExtensionChapter 66.11 – 6.13Excel 7Chapter 99.1 – 9.12Test 65 - 10Investigation 2 (Angle relationships)Reasoning and geometry 1 and 2, Introduction to Algebra(ACMMG163) Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG164) Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG165) Classify triangles according to their side and angle properties and describe quadrilaterals Excel 7 ExtensionChapter 1010.1 – 10.17Chapter 77.1 – 7.10(ACMMG166) Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral (ACMNA175) Introduce the concept of variables as a way of representing numbers using letters (ACMNA177) Extend and apply the laws and properties of arithmetic to algebraic terms and expressions Write algebraic expressionsSimplifying Algebraic expressionsCollecting like termsAlgebraic AbbreviationsIndex notationSubstitutionGrouping – Connecting laws and properties of numbers to algebraProblem solving with algebra(ACMNA176) Create algebraic expressions and evaluate them by substituting a given value for each variableIntroduced solving equations by flowcharts to give connections and relevancy to flowchart work. Went well and made solving equations Term 4 much easier. Keep doing it.Term 4WeekContentAustralian Curriculum Content DescriptorResourcesTest 71 - 6Equations, Measurement and Probability(ACMNA179) Solve simple linear equations One step equationsCollecting like terms in equationsTwo step equationsProblem solving with equationsExcel only has one-step Equations but WA Curriculum Pointers C/D are 2 step(ACMMG137) Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG135) Connect decimal representations to the metric system (ACMMG159) Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG160) Calculate volumes of rectangular prism (ACMSP168) Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP167) Construct sample spaces for single-step experiments with equally likely outcomes Excel 7 ExtensionChapter 88.1 – 8.7Chapter 13 11.1 – 11.12Chapter 1212.14 – 12.18Investigation 36 – 8 Statistics(ACMSP169) Identify and investigate issues involving continuous or large count data collected from primary and secondary sources (ACMSP170) Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP171) Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP172) Describe and interpret data displays using median, mean and range (ACMNA180) Investigate, interpret and analyse graphs from authentic data Excel 7 ExtensionChapter 1212.1 – 12.13Semester 2 Exam9 – 10 (All concepts)Chapters1 – 12 ................
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