2023/24 Annual Teaching Plans: Grade 7 Maths PDF

2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 (TERM 1) TERM 1 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6...

2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 (TERM 1) TERM 1 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 WEEK 11 HOURS PER 13,5 hrs 2 hrs 9 hrs 11,5 hrs 4,5 (3,5) hrs 3,5 (4,5) hrs TOPIC TOPICS, WHOLE NUMBERS FORMAL COMMON FRACTIONS: DECIMAL FRACTIONS: REVISION FORMAL CONCEPTS Revise the following: ASSESSMENT TASK Ordering, comparing and simplifying common fractions Ordering and comparing decimal fractions ASSESSMENT AND SKILLS o Ordering and comparing whole numbers ASSIGNMENT Extend to thousandths Count forwards and backwards in decimal fractions to TASK o Properties of operations with whole numbers Whole numbers Calculations with fractions at least 3 decimal places TEST o Calculations using all operations with whole numbers N.B. Assignment to be Addition and subtraction of fractions including mixed numbers where one Place value of decimals to at least 3 decimal places All topics Calculation techniques done in class over 2 hrs denominator is not a multiple of the other Order and compare decimal fractions to at least 3 Use any strategy to perform and check written and mental Multiplication common fractions, including mixed numbers, not limited to decimals calculations of whole numbers including: fractions where one denominator is a multiple of another Rounding off decimal fractions to at least 2 decimal ‒ Long division Calculation techniques places ‒ Adding, subtracting and multiplying in columns Convert mixed numbers to common fractions in order to perform Calculations with decimal fractions calculations with them Addition and subtraction to decimal fractions of at least ‒ Estimation Use knowledge of multiples and factors to write fractions in the simplest three decimal places ‒ Rounding off and compensating form before or after calculations Multiply decimal fractions to include: ‒ Using a calculator Use knowledge of equivalent fractions to add and subtract common ‒ Decimal fractions to at least 3 decimal places by N.B. Calculator is only used to check the correctness of the fractions whole numbers answer Percentages ‒ Decimal fractions to at least 2 decimal places by Multiples and factors Calculate the percentage of part of a whole decimal fractions to at least 1 decimal place List prime factors of numbers to at least 3-digit whole numbers Calculate percentage increase or decrease of whole numbers Divide decimal fractions to include decimal fractions to Find the LCM and HCF of whole numbers by inspection or Solving problems at least 3 decimal places by whole numbers factorisation Solve problems in contexts involving common fractions and mixed Calculation techniques Solving problems numbers, including grouping and sharing; and finding fractions of whole Use knowledge of place value to estimate the number Solve problems involving whole numbers, including: numbers of decimal places in the result before ‒ Comparing of two or more quantities of the same kind (ratio) Use rounding off and a calculator to check results Solve problems in contexts ‒ Comparing two quantities of different kinds (rate) where appropriate involving percentages ‒ Sharing in a given ratio where the whole is given Solving problems Solve problems that involve whole numbers, percentages and Solve problems in context involving decimal fractions decimal fractions in financial contexts such as: Equivalent forms ‒ Profit, loss and discount Recognise equivalence between common fraction and ‒ Budgets decimal fraction forms of the same number ‒ Accounts Recognise equivalence between common fraction, ‒ Loans decimal fraction and percentage forms of the same ‒ Simple interest number PREREQUISITE Order, compare, represent and place value of 9-digit numbers Ordering and comparing fractions specifically tenths and hundredths Count forwards and backwards in decimal fractions to SKILL OR PRE- Rounding off to the nearest 5, 10, 100, 1000, 10 000, etc. Addition and subtraction of common fractions, including mixed numbers at least two decimal places KNOWLEDGE All operations with whole numbers where one denominator is a multiple of another Compare and order decimal fractions to at least two Multiples and factors of 3-digit whole numbers Recognise and use equivalent forms of common fractions with 1-digit or 2- decimal places Prime factors of 2-digit whole numbers up to 100 digit denominators Place value of digits to at least two decimal places Properties of operations with whole numbers Finding fractions of whole numbers Rounding off decimal fractions to at least 1 decimal Finding percentages of whole numbers place Identity element of 0 and 1 Equivalence between fractions and percentage forms of the same number Addition and subtraction of decimal fractions of at least two decimal places Multiplication of decimal fractions by 10 and 100 Equivalence between fractions and percentage forms of the same number 1 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 NATIONAL ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 (TERM 2) TERM 2 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 WEEK 11 HOURS PER 4,5 hrs 9 hrs 9 hrs 9 hrs 4 hrs 3 hrs TOPIC TOPICS, FORMAL EXPONENTS: INTEGERS: NUMERIC AND GEOMETRIC PATTERNS FUNCTIONS AND RELATIONSHIPS REVISION FORMAL CONCEPTS ASSESSMENT TASK Mental calculations Counting, ordering and comparing integers Investigate and extend patterns Input and output values ASSESSMENT AND SKILLS INVESTIGATION Determine squares to at least 12² and their Count forwards and backwards in integers for any Investigate and extend numeric and Determine input values, output values or TASK N.B. Administer an square roots interval geometric patterns looking for relationships rules for patterns and relationships using: TEST investigation on any Determine cubes to at least 6³ and their cube Recognise, order and compare integers between numbers, including patterns: ‒ Flow diagrams All term 1 & 2 ONE of the term 2 roots Calculations with integers ‒ Represented in physical or diagram form ‒ Tables topics topics before teaching Comparing and representing numbers in ‒ Not limited to sequences involving a Add and subtract with integers ‒ Formulae it exponential form constant Properties of integers Equivalent forms Compare and represent whole numbers in ‒ Difference or ratio Recognise and use commutative and associative Determine, interpret and justify equivalence exponential form: 𝑎𝑏 = a × 𝑎 × 𝑎 × … for b properties of addition for integers ‒ Of learner’s own creation of different descriptions of the same number of factors ‒ Represented in tables relationship or rule presented: Calculations using numbers in exponential Describe and justify the general rules for ‒ Verbally form observed relationships between numbers in ‒ In flow diagrams Recognise and use the appropriate laws of own words ‒ In tables operations with numbers involving exponents and square and cube roots ‒ By formulae Calculations involving all four operations ‒ By number sentences using numbers in exponential form, limited exponents up to 5, and square and cube roots PREREQUISITE All four operations with whole numbers Number line All operations with whole numbers Input and output values with whole numbers SKILL OR PRE- Comparing whole numbers Addition and subtraction with whole numbers Addition and subtraction as inverse Equivalent representations of different KNOWLEDGE operations descriptions of the same relationship or rule Multiplication and division as inverse presented operations (with whole numbers) ‒ Verbally Addition and subtraction of integers ‒ In a flow diagram Investigate and extend numeric and ‒ In a table geometric patterns looking for relationships in ‒ By a number sentence patterns not limited to constant difference or Rules for calculating the areas of squares ratio and rectangles Describe the general rules for the observed Rules for calculating the volume of relationships with patterns limited to constant rectangular prisms difference or ratio 2 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 (TERM 3) TERM 3 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 WEEK 11 HOURS PER 13,5 hrs 9 hrs 9 hrs 9 hrs 3hrs TOPIC TOPICS, N.B. The project must CONSTRUCTION OF GEOMETRIC FIGURES GEOMETRY OF 2D SHAPES TRANSFORMATION REVISION FORMAL ASSESSMENT TASK CONCEPTS cover a combination of Measuring angles Classifying 2D shapes GEOMETRY TEST AND SKILLS topics from term 1 to term Accurately use a protractor to measure and classify angles: Describe, sort, name and compare triangles according to Transformations All topics 3 and must be completed their sides and angles, focussing on: ‒ < 90o (acute angles) Recognise, describe and perform translations, before the end of term 3 ‒ Right-angles ‒ Equilateral triangles reflections and rotations with geometric figures and ‒ >90o (obtuse angles) ‒ Isosceles triangles shapes on squared paper ‒ Right-angled triangles Identify and draw lines of symmetry in geometric ‒ Straight angles Describe, sort, name and compare quadrilaterals in terms figures ‒ >180o but less than 360 o (reflex angles) of: Enlargements and reductions Constructions ‒ Length of sides Draw enlargements and reductions of geometric Accurately construct the following using a compass, ruler and ‒ Parallel and perpendicular sides figures on squared paper and compare them in terms protractor, limited to: of shape and size ‒ Angles, to one degree of accuracy ‒ Size of angles (right angles or not) ‒ Parallel lines Similar and congruent 2D shapes ‒ Perpendicular lines Recognise and describe similar and congruent figures by Describe and name parts of a circle comparing: GEOMETRY OF STRAIGHT LINES ‒ Shape Define ‒ Size Line segment Solving problems Solve simple geometric problems involving unknown sides Ray and angles in triangles and quadrilaterals, using known Straight line properties Parallel lines Perpendicular lines PREREQUISITE Straight sides and curved sides Naming of shapes according to the number of sides Symmetry SKILL OR PRE- Types of angles and their definitions Difference between a rectangle and a parallelogram Use transformation terms to describe patterns in KNOWLEDGE Types of angles shapes Increase/decrease the sides of 2D shapes by the same ratio 3 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 (TERM 4) TERM 4 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 HOURS PER 8 hrs 9 hrs 9 hrs 9 hrs 8 hrs TOPIC TOPICS, AREA AND PERIMETER OF 2D SHAPES SURFACE AREA AND VOLUME OF 3D OBJECTS DATA HANDLING: Collect data REVISION FORMAL ASSESSMENT TASK CONCEPTS AND Area and perimeter Surface area and volume PROVIDE LEARNERS WITH DATA TO SAVE TIME EXAMINATION SKILLS Calculate the perimeter of regular and irregular Use appropriate formulae to calculate the surface area, volume and Pose questions relating to social, economic, and environmental issues PAPER 1 AND PAPER 2 polygons capacity of: in own environment All topics from term 1-4 Use appropriate formulae to calculate perimeter ‒ Cubes Select appropriate sources for the collection of data (including peers, and area of: ‒ Rectangular prisms family, newspapers, books, magazines) ‒ Squares Describe the interrelationship between surface area and volume of Distinguish between samples and populations and suggest appropriate ‒ Rectangles the objects mentioned above samples for investigation ‒ Triangles Calculations and solving problems Design and use simple questionnaires to answer questions with: Calculations and solving problems Solve problems involving surface area, volume and capacity ‒ yes/no type responses Solve problems involving perimeter and area of Use and convert between appropriate SI units, including: ‒ multiple choice responses polygons ‒ mm2 ↔ cm2 Organise and summarise data Calculate to at least 1 decimal place Organise (including grouping where appropriate) and record data using ‒ cm2 ↔ m2 Use and convert between appropriate SI units, ‒ mm3 ↔ cm3 ‒ Tally marks including: ‒ Tables ‒ cm3 ↔ m3 ‒ mm2 ↔ cm2 ‒ Stem-and-leaf displays Use equivalence between units when solving problems: Group data into intervals ‒ cm2 ↔ m2 ‒ 1 cm3 ↔ 1 ml Summarise and distinguishing between ungrouped numerical data by ‒ 1 m3 ↔ 1 kl determining: ‒ Mean ‒ Median ‒ Mode Identify the largest and smallest scores in a data set and determine the difference between them in order to determine the spread of the data (range) Represent data Draw a variety of graphs by hand/technology to display and interpret data (grouped and ungrouped) including: ‒ Bar graphs and double bar graphs ‒ Histograms with given intervals ‒ Pie charts Interpret data Critically read and interpret data represented in: ‒ Words ‒ Bar graphs ‒ Double bar graphs ‒ Pie charts ‒ Histograms Analyse data Critically analyse data by answering questions related to: ‒ Data categories, including data intervals ‒ Data sources and contexts ‒ Central tendencies (mean, mode, median) ‒ Scales used on graphs Report data Summarise data in short paragraphs that include ‒ Drawing conclusions about the data ‒ Making predictions based on the data ‒ Identifying sources of error and bias in the data ‒ Choosing appropriate summary statistics for the data (mean, median, mode) 4 2023/24 ANNUAL TEACHING PLANS: MATHEMATICS: GRADE 7 TERM 4 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 HOURS PER 8 hrs 9 hrs 9 hrs 9 hrs 8 hrs TOPIC PREREQUISITE Perimeter using rulers or measuring tapes Conversions between SI units of length Complete data cycle SKILL OR PRE- Find areas of regular and irregular shapes by Area of 2D shapes by counting the number of squares KNOWLEDGE counting squares on grids 3D objects: Relationship between perimeter and area of Volume of 3D objects by counting the number of cubes rectangles and squares 5