1st term P1 syllabus:
Muscat International SchoolMathematicsScheme of Work2011-2012 WN 11-12 1st Term Gr. 8 Extension: Text: Cambridge Essentials Mathematics ChapterTopicMain ideasExercisesLessonsN 1.1Integers- Multiplying and dividing integers.P.1-4 Explanation 1a,1b, 2, 3, Ex.1-173N 1.2Powers and roots- Cubing positive and negative numbers.- Finding the cube root of a number.- Using power notation.P.5-10 Explanation 1a, 1b, 2a, 2b, 3, 4, 5 Ex.1-204N 1.3Multiples, factors, and primes- Finding lowest common multiples.- Finding highest common factors.- Finding prime factors.- Using prime factors to find HCF and LCM.P. 11-16 Explanation 1, 2, 3a, 3b, 4, 5a, 5b,6a, 6b. Ex.1-224A 1.1Generating sequences- Generating a sequence from a term –to- term rule- Using algebra to find missing terms in an arithmetic sequence.- Generating sequences like the Fibonacci sequenceP.17-20 Explanation 1, 2a, 2b, 2c, 3a, 3b, 4 Ex.1-143A 1.2Describing sequences- Generating a sequence from a position-to-term- Describing a sequence using a position-to-term.-Writing a position-to-term rule using algebra.- Using the relationship between a term-to-term rule and a rule.P.21-25 Explanation 1a, 1b, 2, Ex.1-153GM 1.1Angles- Identifying alternate and corresponding angles.- Proving that the angles of any triangle add up to 180o and that the angles of any quadrilateral add up to 360o.- Knowing that the exterior angle of a triangle is equal to the sum of the two interior opposite angles.- Solving problems using properties of angles formed by parallel and intersecting lines.- Calculating the sum of the interior angles of quadrilaterals, pentagons and hexagons.- Calculating the interior and exterior angles of a regular polygon.P.26-31 Explanation 1a, 1b, 1c, 2a, 2b, 2c, 2d, 3, 4a, 4b, Ex.1-144GM 1.2Lines, shapes, and coordinates- Classifying quadrilaterals by their geometric properties.- Calculating the mid -point of a line segment.- Knowing the parts of a circle.P. 32-36 Explanation 1 2a, 2b, 2c, 3a , 3b . Ex.1-103GM 1.3Constructions (1)- Constructing a perpendicular bisector.- Bisecting an angle.- Constructing a perpendicular from a point to a line.- Constructing a perpendicular from a point on a Line.- Using a ruler and a compasses to construct a right- angled triangle given the longest side and another side.P. 37-40 Explanation 1a, 1b ,1c, 1d, 2a, 2b,2c , 2d , 3a , 3b ,3c ,3d ,4a ,4b ,4c .5 Ex.1-174S 1.1Chance and probability- calculating the probability of an event for equally likely outcomes.- Constructing a sample space diagram.- Understanding that random processes are unpredictable.p. 41-44 Explanation 1a, 1b, 1c, 2a, 2b, 2c, Ex.1-10 3S 1.2Probability- Finding the probability of an event not occurring.- Using diagrams to record all possible outcomes for two events.- Using diagrams to record all possible outcomes for two successive events.P. 45-50 Explanation 1a, 1b, 2a, 2b, 3a, 3b Ex. 1-204S 1.3Experimental probability- Using experimental data to estimate probability.- Understanding the effect of repeating an experiment many times.- Comparing theoretical and experimental probability.P.51 -54 Explanation 1a, 1b, 1c. Ex 1-11 3 Continue 1st Term Gr. 8 Extension: Text: Cambridge Essentials Mathematics ChapterTopicMain ideasExercisesLessonsN 2.1Fractions and Decimals- Using division to convert fractions to decimals.- Understanding that recurring decimal is a fraction.- Ordering fractions.P.55-57 Explanation 1, 2a , 2b, 2c, 3a, 3b. Ex 1-163N 2.2Calculations with fractions- Adding and subtracting fractions with different denominators.- Multiplying and dividing whole numbers by fractions.- Multiplying and dividing fractions by fractions.- Cancelling common factors before multiplying and dividing fractions.P. 58-64 Explanation 1 , 2 , 3a , 3b , 4a, 4b , 5, 6 Ex.1-325N 2.3Percentages- Calculating percentages of numbers, quantities and measurements.- Using percentages to solve problems.- Finding the outcome of a percentage increase or decrease.- Calculating successive percentage increase or decrease.P. 65-70 Explanation 1 , 2a , 2b , 3 , 4 , 5 , 6 Ex. 1-27 4N 2.4Mental methods (1)- Using facts you know to answer unfamiliar questions.- Working with multiples, factors, powers and roots.P.71- 76 Explanation 1a, 1b , 2a, 2b ,3a , 3b ,4 , 5 Ex 1-274A 2.1Simplifying expressions- Simplifying expressions by collecting like terms.- Expanding expressions involving brackets.- Writing expressions using index notation.- The order of operations for expressions involving indices.P. 77-81 Explanation 1a , 1b , 1c , 2a, 2b , 3 4a , 4b, 5a, 5b ,5c. Ex. 1-234A 2.2Using Equations- How to solve equations involving brackets.- How to form and solve simple equations.P. 82-87 Explanation 1a, 1b ,1c , 1d , 2a, 2b ,2c, 3a, 3b , Ex. 1-183A 2.3Formulae- Finding the value of a formula.- Obtaining a formula.- Checking that a formula works.P. 88- 92 Explanation 1 ,2a, 2b , 3a, 3b , Ex 1-16 3GM 2.1Area- calculating the area of a triangle, parallelogram and trapezium.- Calculating the area of compound shapes.- Converting between measures of area such as mm2 and cm2.P. 93- 98 Explanation 1a, 1b ,2a, 2b ,3a, 3b ,3c, 4 ,5. Ex 1-203GM 2.2Volume- Calculating the volume of cuboids and of shapes made of cuboids.- Calculating the surface area of cuboids and of shapes made of cuboids.- Calculating the surface area and volume of prisms.- Converting between measures of volume bsuch as mm3 and cm3.P.99-102 Explanation 1a, 1b , 1c ,1d , 2 , 3 Ex. 1-143GM 2.3Plans and elevations- Drawing plans and elevations of 3-D shapes.- Identifying nets of cubes and cuboids.P.,103-105 Explanation 1 , 2a , 2b , 2c Ex.1-7 3GM 2.4Units of measurements- Converting between metric units of length, area, volume and mass.- Justifying an appropriate degree of accuracy for a measurement.- Making rough conversions between metric and imperial measures.P.106- 108 Explanation 1a, 1b ,1c ,2a, 2b ,2c Ex 1-8 3We have70 days in Term1= 84 periods. 8 periods for assessments76 2nd t Term Gr. 8 Extension: Text: Cambridge Essentials Mathematics ChapterTopicMain ideasExercisesLessonsA3.1Functions- Identifying a linear function.- Writing a function machine, using algebra.- Identifying and writing rules linking inputs and outputs.- Finding the inverse of a linear function.P. 109- 112 Explanation 1a, 1b 2a, 2b 3a, 3b Ex.1-144A 3.2Functions and mappings- Constructing a mapping diagram from a function machine.- Identifying a linear function.P. 113- 115 Explanation 1a, 1b ,2a , 2b 3a ,3b .Ex.1-113A 3.3Functions and graphs- Finding the gradient of the graph of a linear function.- describing a straight line using an equation.- Recognising that straight lines can be written in the form y= mx + c.- Interpreting the equation of a line.- Drawing lines of linear functions in the form ry +sx=tP.116- 120 Explanation 1a, 1b, 2 ,3a, 3b 4a, 4b Ex. 1-154N 3.1Place value, ordering and rounding- Working with negative powers of 10.- Multiplying and dividing integers and decimals by any power of 10.- Rounding numbers to a given power of 10- Rounding numbers to either 1 or 2 decimal places.- Rounding decimals to the nearest whole number.P.121 – 125 Explanation 1, 2a ,2b, 3, 4 , 5a, 5b . Ex .1-235N 3.2Mental methods (2)- Knowing mental statgies for working out calculations.- Knowing mental strategies for solving problems involving fractions, decimals, and percentages.- Estimating the square roots of non-square numbers.- Estimating the answer to calculations by rounding..P.126 – 130 Explanation 1a, 1b , 2 , 3 , 4 , 5a, 5b ,.5c, 6 , 7a , 7b. Ex.1-19 4N 3.3Written methods- Written methods for adding, subtracting, multiplying and dividing decimals.P. 131- 134 Explanation 1 , 2a, 2b ,3a, 3b, 4a, 4b ,4c, Ex.1-143N 3.4Using a calculator- Using a calculator for more complex calculations.- Writing answers using a format consistent with the question.- Converting time given in decimal format into hours, minutes and seconds.- Using unrounded numbers in calculations that rely on previous results. P. 135 – 139 Explanation 1a, 1b ,2a, 2b ,3 ,4. Ex.1-215GM 3.1Congruence- Identifying congruent shapes, including triangles and quadrilaterals.P.140 -141 Ex.1, 2. 1-51GM 3.2Reflection, rotation and translation- Knowing that translations, rotations and reflections preserve length and angle and map on to congruent images.P. 142 – 150 Explanation 1a, 1b ,1c, 2a, 2b, 3a, 3b, 4a, 4b, 5a, 5b, 6. Ex. 1-245GM 3.3Enlargement- Enlarging an object with positive and negative scale factors.- Describing enlargements.- Determining scale factors.P. 151-154 Explanation 1a, 1b ,2. Ex. 1-72S 2.1Surveys- Knowing the difference forms that data can take.- Testing a hypothesis.- Identifying inappropriate questions in a survey.- Sampling a population.- Using a two-way grouped frequency table to record data.P. 155 – 159 Explanation 1 , 2a , 2b ,2c ,3a , 3b . Ex.1-123S 2.2Analysing data (1)- Understanding that statistics can be misleading.- constructing a stem and leaf diagram.- Calculating the range, mean, median and mode from a stem and leaf diagram.P. 160 – 164 Explanation 1a, 1b, 2, 3, 4, Ex. 1-153S 2.3Representing data- Drawing a pie chart by calculating the degrees for each sector.-Drawing bar charts or frequency diagrams as appropriate for discrete and continuous data.- Drawing and interpreting line graphs.- Drawing and interpreting scatter graphs.P. 165-171 Explanation 1, 2a , 2b , 3, 4a, 4b ,4c ,4d. Ex.1-164Continue : 2nd t Term Gr. 8 Extension: Text: Cambridge Essentials Mathematics ChapterTopicMain ideasExercisesLessonsS 2.4Interpreting data- Interpreting different types of graph.- Giving reasons to justify your answers.- Deciding whether a graph displays its data clearly.P. 172-175 Explanation 1 , Ex. 1-5 2N 4.1Order of operations- Working out more complex calculations involving brackets and powers.- Understanding that multiplying by a number does not always produce a bigger answer.- Understanding that dividing by a number does not always produce a smaller answer.P. 176-178 Explanation 1, 2a, 2b. Ex.1-133N 4.2Checking- Spotting incorrect answers in a number of different situations.P.179 – 180 Explanation 1 Ex.1-53N 4.3Ratios- Understanding the relationship between fractions and ratio.- Simplifying ratios.- Dividing a quantity in a given ratio.- Using the unitary method to solve problems involving ratio.P.181 – 186 Explanation 1, 2, 3, 4, Ex.1-193N 4.4Graphs of real-life situations- Knowing the properties of direct proportionality.- Using graphs to find the relationship between two variables.- Writing a ratio in the form 1:n- Converting a ratio to an equation linking two variables.P.187- 191 Explanation 1a,1b 2a , 2b, 2c, Ex.1-83We have 59 days in Term 2= 66 periods. 6 periods for assessments.603rd t Term Gr. 8 Extension: Text: Cambridge Essentials Mathematics ChapterTopicMain ideasExercisesLessonsA4.1Formulae and expressions- Simplifying more complex algebraic expressions involving brackets.- Forming algebraic expressions.- Multiplying a single term over a bracket.- Taking out a single term common factor.P.192- 195 Explanation 1, 2a, 2b ,3, 4a, 4b, Ex. 1-95A 4.2Using graphs- Interpreting distance- time graphs.- Drawing graphs based on real situations.- Recording that some graphs can be misleading.- Giving possible explanations for the shape of graphs.P.196- 200 Explanation 1a, 1b ,2 Ex.1-9 5GM4.1Scale drawing- Converting lengths from scale drawings to real life, and vice versa.- Drawing diagrams to scale.- Interpreting diagrams drawn to scale.- Interpreting scaled areas.P.201-203 Explanation 1a, 1b ,2 Ex. 1-135GM 4.2Constructions (2)- Constructing a triangle given the lengths of all three sides.- Constructing a shape made of triangles.P.204- 207 Explanation 1a, 1b, 1c, 1d, 2a, 2b, 2c, Ex. 1-145GM 4.3Loci- Constructing the locus of points from a fixed point.- Knowing when to use solid or dashed lines in locus diagrams.- Constructing the locus of points equidistant from two fixed points or two fixed lines.- Constructing a regular hexagon.- Constructing the locus of points from a line.P.208- 212 Explanation 1a, 1b, 2, 3. Ex. 1-195GM 4.4Bearings- Measuring and calculating three-figure bearing.- Drawing diagrams involving three-figure bearings.P.213-217 Explanation 1a, 1b ,1c, 1d, Ex.1-155S.3.1Collecting data- Selecting an appropriate class interval for grouping continuous data.- Preparing grouped frequency tables from lists of data.P.218-220 Explanation 1a, 1b. Ex. 1-53S 3.2Analysing data (2)- Estimating the mean of grouped continuous data.- Identifying the modal class of grouped data.- Realising that the mean of grouped data is often very close to the mean of the raw data.P. 221-225 Explanation 1a, 1b. Ex. 1-73S 3.3Comparing distributions- Interpreting more complex graphs.- Giving possible reasons for the shapes of graphs.- Justifying explanations using the evidence from calculations.P. 226-228 Explanation 1a, 1b. Ex. 1-43We have 50 days in Term 3= 48 periods. 9 periods for assessments and for full revision.39 ................
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