Year 7 SOW Pathways. Half Term 1: Start in September with Test in October

Transcription

1 Half Term 1: Start in September with Test in October All Classes HALF TERM 1 Topic Content No. of weeks Number 1 Be able to order, add and subtract positive and negative numbers in context Add, divide, subtract and multiply using written methods Written Add and subtract decimals up to dp. Methods Understand the values of money on a calculator and be able to solve worded problems. Extension multiply decimal by whole number; multiply decimal by decimal. Recall and be able to change a fraction in to a decimal Algebra 1 Generate and describe simple integer sequences by working out the term-to-term rule. Be able to state the next terms of a sequence given the rule 1/ Sequences Generate the next drawing in a number pattern Extension state the nth term rule Statistics 1 Be able to calculate the Mean, Median, Mode and Range for a given set of data. MMMR Extension - be able to find the mean from a frequency table (discrete data) 1/ Geometry 1 Basic Angles Know and be able to use the points of a compass (NESW) Be able to recognise and name acute, obtuse and reflex angles Understand that angles on a straight line and in a triangle are 180 o and angles around a point are 360 o Know and be able to use the point of a compass Interpret and use coordinates in the first quadrant extension to all four quadrants. Extension angle properties of intersecting and parallel straight lines. 1

2 Half Term October HALF TERM Topic Content No of weeks Number To understand what is meant by a factor and a multiple. To be able to list all the prime numbers up to 0. To be able to recognise simple fractions and understand when two or more fractions are equivalent. To be able to add and subtract simple fractions and those with the same denominators extending to those with different denominators. To multiply and divide proper fractions To be able to calculate a fraction of a given amount (incl. multiplying and dividing a fraction with an integer). To add and subtract mixed numbers; to multiply and divide mixed numbers EXT: 4 operations with simple algebraic fractions Algebra To be able to write simple algebraic expressions, using symbols or letters to represent an unknown value. To be able to simplify expressions by collecting like terms. To be able to simplify expressions by multiplying and dividing (eg. 4a/a) To be able to substitute into expressions and a given formula in words, extending to algebraic formula. To be able to solve one step equations To be able to expand single brackets and simplify where necessary, including single brackets To be able to solve two step equations. EXT: Solve equations with unknown on both sides (including brackets) EXT: Expanding double brackets Statistics To understand the probability scale. To be able to find simple probabilities. To be able to calculate probabilities using equally likely outcomes and from experimental data. To be able to calculate probabilities from sample spaces. To use the probability of an event happening to find the probability of it not happening. EXT: Relative frequency

3 Geometry To accurately draw and measure straight lines. To find the perimeter and area of simple D shapes by counting squares. To use a formula to find the area of rectangles To find missing lengths when given the area To use a formula to find the area of triangles, parallelograms and trapeziums. EXT: To be able to draw 3D shapes on isometric paper. To be able to draw the net of a cuboid and other simple 3D shapes, and to be able to calculate the surface area. To calculate the area of compound shapes EXT: To find the area and circumference of a circle, and semi/quarter circles Formatted: Font: 1 pt Formatted: Normal Formatted: Font color: Accent 1 Formatted: Font: 1 pt, Bold, Font color: Blue Formatted: Font: 1 pt, Bold Half Term 3 January HALF TERM 3 Topic Content No of weeks Number 3 To be able to describe a proportion of a whole as a percentage (convert simple fractions to percentages, including diagrams) To be able to find simple percentages of amounts 1%, 5%, 10%, 0%, 50%, 5% To be able to find % (non-calculator) using build up method i.e. 15% = 10% + 5% To be able to calculate simple increase and decrease percentages (non-calculator) To be able to calculate more complicated percentages of amounts (non-calculator) i.e. 33%, 67% To be able to calculate percentages using calculator methods EXT: To find the percentage change given the original and current values EXT: To be able use a multipler to increase and decrease an amount by a given percentages. EXT: To apply the multipler method to work out questions involving compound interest. Algebra 3 To be able to recognise 1 to 15 and their square roots. To know how to use the square and square root keys on calculators. To recognise the triangular number sequence and find the first 10 terms. To be able to recognise cube numbers up to 5³ and their cube roots (and use calculator efficiently) EXT: To understand why there are two solutions for equations such as x =16 and 5x =45 3

4 EXT: Use and apply the three basic rules of indices with positive and negative powers. Statistics 3 To be able to collect and record data including tally charts and frequency tables. To be able to construct and use pictograms, bar charts and simple grouped frequency tables. To interpret graphs and diagrams, drawing conclusions. To collect and record data using grouped frequency table. EXT: To understand the different types of data, including discrete, continuous, quantitative and qualitative. EXT: To collect and record continuous data, choosing appropriate equal class intervals in grouped frequency tables. Geometry 3 To name and label parts of a circle. Investigate and its origins leading to deducing the formula of the circumference. To be able to find the Area and Circumference of a circle. To be able to find the perimeter and area of semi circles. EXT: To be able calculate the area of a sector and arc length. (If need to then go over last terms Geometry unit to consolidate). EXT: Solving circle problems involving compound shapes and leave your answer in terms of π. 4

5 Half Term 4 February HALF TERM 4 Topic Content No of weeks Number 4 To understand and find multiple and factors. 1- Understand, know and recall prime numbers up to 30. Multiples, Be able to find the HCF and LCM of two or more numbers. Factors, Be able to express a number as a product of its Prime factors. Primes Apply HCF and LCM to worded questions. EXT: To be able to use Venn diagrams to find the HCF and LCM Algebra 4 Be able to plot and read co-ordinates in the first quadrant. Be able to plot and read co-ordinates in all 4 quadrants. Coordinates, Discovery of straight line graphs using Geogebra or Desmos (laptops required) Straight Line Be able to recognise and draw lines in the form y=3, x=, y = x and y = -x. Graphs Be able to plot simple linear graphs from a table of results, in the form y = mx + c EXT: To be able to find the gradient of a straight line EXT: To identify the equation of a straight line graph EXT: Discovery of quadratic graphs using Geogebra or Desmos (laptops required) Geometry 4 SURFACE AREA AND VOLUME. To be able to find the surface area of cubes Surface Area To be able to draw 3D shapes on isometric paper. To be able to draw the net of a cuboid and other simple 3D shapes. To be able to find the surface area of cuboids To find missing lengths when given the area and volume of a cuboidto find the surface area of triangular prisms (given the slanted length) To find the EXT: Find the surface area of cylinders EXT: Find the surface area of triangular prisms using Pythagoras to find the slanted length EXT: Find the missing length area of the shape.given the surface xtend to find the volume of a triangular prism and trapezoid (L7) 5 Formatted: Font color: Text 1 Formatted: List Paragraph Formatted: List Paragraph Formatted: Font: 1 pt, Font color: Blue

6 Number 5 Decimals To order decimals To add and subtract decimals in the context of money To multiply and deivide decimals by 10, 100, 1000 etc To round numbers to a given number of decimal places To add and subtract decimals with more that two decimal places To multiply and divide decimals by whole numbers To multiply and divide decimals by decimals To round numbers to a given number of significant figures 1- Formatted: Font color: Text 1 Formatted: Font color: Text 1 Formatted: Indent: Left: 1.7 cm, No bullets or numbering 6

7 Half Term 5 - April Topic Content No of weeks Geometry To find the volume of cubes and cuboids 1-5 To find the volume of simple prisms, eg triangular prisms etc To find missing lengths given the volume Volume EXT: Find the volume of cylinders and composite shaped prisms HALF TERM 5 Number 6 Ratio To write down and simplify ratios. To simplify ratios in to the form 1:n, or n:1 To be able to divide an amount in a given ratio. Solve proportion problems using the unitary method To find missing parts in ratio problems using Bar Modelling (see 5 part lesson powerpoint and worksheets) 1- Formatted: Font: 1 pt Revision for End of year AssessmentsGeometry Be able to draw and measure straight lines; Recognise different types of angles. Be able to draw and measure angles. Understand simple geometric properties of triangles and quadrilaterals. Be able to draw SSS, SAS, ASA triangles. EXT (L7) Pythagoras Theorem. Formatted: Font: 0 pt, Bold 7

8 Half Term 6 - May Algebra and Statistics HALF TERM 6 Topic Content No of weeks Geometry 6 To draw and measure straight lines (recap if needed) Recognise different types of angles. (recap if needed) Constructions Be able to draw and measure angles. Understand simple geometric properties of triangles and quadrilaterals. Be able to draw SSS, SAS, ASA triangles. Construct perpendicular bisector, angle bisector EXT: Constructions from a point to a line, a point on a line, a 60 and 30 angle Number 7 To recall simple equivalent FDP (eg. 5%, 50%, 75%, 10%, 0%...) 1- To be able to understand and use equivalent fractions, decimals and percentages. FDP Converting between decimals, fractions and percentages (converting Ordering decimals, fractions and percentages and equivalence) EXT: convert recurring decimals to fractions To complete Simultaneous equations solve by elimination elements Pythagoras Theorem Investigation (Discovery through Perigal s dissection) from here if Trigonometry identify which ratio to use (SOHCAHTOA) have time Formatted: No bullets or numbering Formatted: Space After: 10 pt, Line spacing: Multiple 1.15 li, No bullets or numbering, Tab stops: 1. cm, Left 8