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Subject: Mathematics Level: 7 Unit / Topic: Semester 2 / Term 3 Designer(s): Year 7 Team: ESA, VK, CBI Stage 1- Desired Results Established Goals: Mathematical knowledge, understanding and skills: Number Use efficient mental and/or written methods for arithmetic computations involving rational numbers, including division of integers by two-digit divisors Dimension Space Use the properties of parallel lines and transversals of these lines to calculate angles that are supplementary, corresponding, allied (co-interior) and alternate Use coordinates to identify position in the plane Use lines, grids, contours, isobars, scales and bearings to specify location and direction on plans and maps Construct two-dimensional and simple three-dimensional shapes according to specifications of length, angle and adjacency Describe and apply the angle properties of regular and irregular polygons, in particular, triangles and quadrilaterals Use two-dimensional nets to construct a simple three-dimensional object such as a prism or a platonic solid Recognise congruence of shapes and solids Use single-point perspective to make a two-dimensional representation of a simple three- dimensional object Make tessellations from simple shapes Use efficient mental and/or written methods for arithmetic computations involving rational numbers, including division of integers by two-digit divisors Relate similarity to enlargement from a common fixed point Use appropriate technology to generate random numbers in the conduct of simple simulations Identify empirical probability as long-run relative frequency Calculate theoretical probabilities by dividing the number of possible successful outcomes by the total number of possible outcomes Dimension Measurement, Chance and Data Measure length, perimeter, area, surface area, mass, volume, capacity, angle, time and temperature using suitable units for these measurements in context Estimate the accuracy of measurements and give suitable lower and upper bounds for measurement values Measure length, perimeter, area, surface area, mass, volume, capacity, angle, time and temperature using suitable units for these measurements in context Interpret and use measurement formulas for the area and perimeter of circles, triangles and parallelograms and simple composite shapes Calculate the surface area and volume of prisms and cylinders Estimate the accuracy of measurements and give suitable lower and upper bounds for measurement value Organise, tabulate and display discrete and continuous data (grouped and ungrouped), using technology for larger data sets Represent uni-variate data in appropriate graphical forms including dot plots, stem and leaf plots, column graphs, bar charts and histograms Calculate summary statistics for measures of centre (mean, median, mode) and spread (range, and mean absolute difference), and make simple inferences based on this data Dimension Structure Solve simple equations (for example, 5x + 7 = 23, 1.4x – 1.6 = 8.3, and 4x2 – 3 = 13) using tables, graphs and inverse operations Recognise and apply simple geometric transformations of the plane such as translation, reflection, rotation and dilation and combination of the above, including their inverses Use inverses to rearrange simple mensuration formulas, and then find equivalent algebraic P A expressions (for example, if P = 2L + 2W, then W = – L. If A = r2, then r = ) 2 Use ordered pairs to specify coordinates on graphs and to describe relations between sets Dimension Working Mathematically Use ordered pairs to specify coordinates on graphs and to describe relations between sets Use variables in general mathematical statements. Substitute numbers for variables (for example, in equations, inequalities, identities and formulas). Develop generalisations by abstracting the features from situations and expressing these in words and symbols. Analyse the reasonableness of points of view, procedures and results, according to given criteria, and identify limitations and/or constraints in context. Substitute numbers for variables (for example, in equations, inequalities, identities and formulas). Use technology such as graphic calculators, spreadsheets, dynamics geometry software and computer algebra systems for a range of mathematical purposes including numerical computation, graphing investigation of patterns and relations for algebraic expressions, and the production of geometric drawings. Understandings: Essential Question(s): Students will: Length & Perimeter: How can conversion tables be constructed Accurately use the metric units of length and used to measure Length using (km, m, cm, mm) to measure lengths and different units of measurement? perimeter of 2-D objects. Angles: What are the different angles we see in Understand angle properties and be able the world around us. How are angles and to apply them in problem-solving angle properties used in design and calculations in 2-D and 3-D. construction? Area, Volume & Capacity: Area volumes and capacity is used widely Understand the concepts of area, volume in the design and use of many everyday & capacity. They will be able to apply their items. What are the processes for knowledge to problem solving 2-D, 3-D calculating the Area/Volume/Capacities of and composite shapes. some of these? Plane and Solid Shapes: Explore the characteristics of plane and tbc solid shapes. How are they used in the manufacture of goods? How likely is an event? How can we Chance and Data: determine the probability of an action tbc taking place. Why is Time, Mass and Temperature Time Mass and Temperature: important in our everyday lives? tbc Knowledge Skills Students will know: Students will be able to: Length & Perimeter: Length & Perimeter: The metric units of length (km, m, cm, Understand the various units of length, mm) and be able to apply them appropriately Numerical scale and measures of length Investigate different scales (analogue and Conversion between different units of digital types), length Read from scales quoting answers with Perimeter and length. appropriate units in both decimal and fractional form Angles: Construct a conversion chart Use a protractor accurately to measure Use a conversion chart to compare and and construct angles convert from and between units of length To be able to name angles and state the Measure perimeter of different 2-D shapes type of angle. using different units of length To be able to calculate the size of angles Develop simple rules for calculating the using basic algebraic skills and knowledge perimeter of a square and rectangle using of complementary, supplementary and the rules. vertically opposite angles. Demonstrate an understanding of bearings Angles: and their application to real life navigation. Explanation of how to use a protractor Demonstration with a whiteboard Area, Volume & Capacity: protractor (interactive whiteboard Understanding Area demonstration.) Converting Units of Area A class demonstration of constructing Finding the Area of a rectangle angles with emphasis on accuracy and Finding the area of a Triangle neatness. Area of Composite and Irregular Shapes Introductory group engagement activity on matching the angles to their names. Adding to their glossary of mathematical terminology. Plane and Solid Shapes: Using 3 capital letters of the alphabet to tbc identify and name specific angles Area, Volume & Capacity: Understand the units of area and apply Chance and Data: them to estimate the area of various tbc simple shapes by counting the number of squares needed to cover a surface. Students will set up their own conversion Time Mass and Temperature: chart to assist them to remember the tbc conversion factors. Apply the area formula to regular and composite rectangular shapes Apply the area formula to regular and composite Triangular shapes Students calculate the area of a selection of composite and irregular shapes. Understanding volume by counting blocks and cubes of various shapes Students will determine the volume of rectangular prisms singularly and in composite. For non-regular shapes students will use the formula (V=A x H) to determine the volume. Exploring ways of determining the capacity of 3D objects through volumetric calculations. Plane and Solid Shapes: tbc Chance and Data: tbc Time Mass and Temperature: tbc Stage 2- Assessment Evidence Performance Tasks: Work Requirements (N/S) 1. Workbook 2. Problem solving 3. Mathematical Investigations Mathematical knowledge & Mathematical skills understanding. WORK REQUIREMENTS ASSESSMENT TASKS WEIGHTING ( %) WORKBOOK Complete set of classroom activities including class notes, worksheets, 10 homework sheets, all neatly presented. PROBLEM SOLVING Worded problems based on key concepts and skills outlined in each chapter. ( 5 per 20 semester ) MATHS INVESTIGATIONS / A selection of extended problems based on COMMON ASSESSMENT real life situations that can be solved using 30 TASKS skills and concepts learnt. Correct use of terms, formulas and graphs as required. Clear written solution should be incorporated. ( 2 per semester) TESTS A selection of tests covering key concepts and skills including problem-solving. 30 HOMEWORK Complete class exercises and one 10 homework sheet per fortnight. Common Assessment Tasks: Year 7 Space & Number, Measurement: House Plans Plus Year 7 Area, Volume & Capacity Year 7 Angles: Bearings Investigation Assessment Rubrics Year 7 Rubric: Level Assessment - Number Year 7 Rubric: Angles Bearings Investigation Year 7 Rubric: Area Volume & Capacity Criteria: Overall Result made up of: Outstanding Excellent Very Good Good Acceptable Unacceptable Not Assessed 5 5 4 3 2 1 0 Other Evidence: Teachers are required to assess students according to mathematical progression points. At the start of Year 7 students should have reached Level 4 Standard. At the end of Semester 1 students should be at Level 4.25. At the end of Semester 2 students should be at Level 4.5. This would give students a rating of C at the level expected. Stage 3- Learning Plan Learning Activities: Year 7 topic planners: Year 7 Semester 2 Curriculum Outlines (2009) Year 7 Length and Perimeter Year 7 Angles Year 7 Area, Volume and Capacity Year 7 Plane and Solid Shapes Year 7 Chance and Data Year 7 Time, Mass and Temperature Support Materials Links: Year 7 Template: Space & Number Year 7 Template: Curriculum Planning Year 7 Template: Bearings Investigation All templates in maths folder on Lisa (x:) & Ultranet Physical materials, aids can be found in the maths storeroom.

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posted: | 9/25/2012 |

language: | Latin |

pages: | 8 |

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