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CURRICULUM SUMMARY – January to April 2017 SUBJECT: Mathematics Week YEAR GROUP: Year 7 Dates Learning objectives GEOMETRY 1 TEACHER: Agata Piskorz Activities (in brief) Estimating area of irregular shapes by drawing grid of squares. Understand the concept of area and perimeter. Calculating areas and perimeters of compound shapes made from rectangles. Draw a tangram polygons. Use tangram polygons to a recreate given shape. Preparing tangram sets. Using the sets to make tangram shapes. Designing students’ own shapes. Making posters. Using units of measurement to estimate, calculate and solve problems in everyday contexts including length, area, volume, capacity and mass Deriving and using formulae for the area of a triangle, parallelogram and trapezium Calculating areas of compound shapes made from rectangles and triangles. Solving word problems and investigating in a range of contexts: length, perimeter and area. Converting between units. 2 2-5 Jan 9 -13 Jan 3 16-20 Jan Calculate area of a triangle; parallelogram; trapezium and compound shapes. 4 23-27 Jan Know basic metric and imperial units. Revision – solving problems at class and at home. Writing a test. Feedback of a test. 5 30 Jan-3 Feb PERCENTAGES Understand percentages. Find percentage of a given number. Express one given number as a percentage of another. 6 6 – 10 Feb 7 13 - 17 Feb Understand and use percentage increase and decrease. RATIO AND PROPORTION Reduce ratio to its simplest form. Divide a quantity into two or more parts in a given ratio. Interpreting percentage as the operator ‘so many hundredths of”. Mentally calculating simple percentages of a number or quantities. Calculating percentages with a calculator. Expressing a given number as percentage of another one . Converting between fractions, percentages, decimals. Finding the outcome of a given percentage increase or decrease. Using decimals to find outcome of a given percentage increase or decrease. Given the outcome and the initial number, finding the percentage increase or decrease. Revision – solving problems at class and at home. Writing a test. Feedback of a test. Using ratio notation, simplifying by cancelling. Practicing problems involving the scale of a map. Using direct proportion in simple contexts. Revision – solving problems at class and at home. Writing a test. Feedback of a test. 8 9 10 20 – 24 Feb 27 Feb -3 Mar 6 – 10 Mar 13 – 17 Mar Mid-Term Break ALGEBRA Know the meanings of the words: variable term, expression and equation. Expand brackets. Solve simple linear equations. Solve word problems in the context of algebra. CIRCLE Know definition of a circle and names of its parts. Know and use the formulae for the circumference and area of a circle. ANGLES AND POLYGONS Classify angles. Know angles formed when a line crosses two parallel lines. Know the sum of interior angles in a triangle. Know the sum of interior angles in a quadrilateral. Identify and know the sum of exterior angles in a polygon. 11 20 – 24 Mar 12 27 – 31 Mar Know and use properties of triangles and quadrilaterals. 13 3 – 7 Apr Construct midpoint and perpendicular bisector of a line. Construct bisector of an angle. The perpendicular from a point to a line. The perpendicular from a point on a line Rearranging algebraic expressions. Simplifying terms. Identifying the necessary information to solve a problem. Representing problems mathematically. Making correct use of symbols, words, diagrams and tables. Creating and solving linear equations using inverse operations. Revision – solving problems at class and at home. Writing a test. Feedback of a test. Pi-day activities. Games and contests. Solving problems involving the circumference and the area of a circle. Estimating and drawing angles. Angle at a point, on a straight line, on a corner. Investigating and using properties of two parallel lines crossed by a transversal line. Identifying vertically opposite angles, alternate angles, corresponding angles. Proving the theorem that the sum of interior angles in a triangle is 180°, Proving some angles’ properties. Solving geometrical problems using side and angle properties of isosceles, equilateral and right-angled triangles, explaining reasoning with diagrams and text. Using a ruler and a compass to construct a triangle given three sides (SSS). Understanding the triangle inequality. Solving geometrical problems using side and angle properties of quadrilaterals, explaining reasoning with diagrams and text. Classifying quadrilaterals by their geometric properties – using tables, Venn diagrams and other forms of representation. Using a ruler and a compass to construct bisectors of lines and angles. Investigating and using properties of the perpendicular bisector of a line and the bisector of an angle. Revision – solving problems at class and at home. Writing a test. Feedback of a test.