Mathematics atp
Term 1Grade 8
Week / Topic / Concept & Skills / %Week 1 / Revision / diagnostic and Catch Up Programme /
- Whole numbers – 4 operations (mental Maths)
- Integers
- Number sentences and simple equations
WEEK 2 / Whole numbers / Lesson 1: Properties of whole numbers
- Use:
- commutative; associative; distributive properties of whole numbers.
- 0 in terms of its additive property (identity element for addition).
- 1 in terms of its multiplicative property (identify element for multiplication).
- Recognise the division property of 0, whereby any number divided by 0 is undefined.
- Determine prime factors of numbers to at least 3-digit whole numbers.
- Determine the LCM and HCF of numbers to at least 3-digit whole numbers, by inspection or factorization.
Lesson 2:Calculations with whole numbers
Use a range of strategies to perform and check written and mental calculations with whole numbers including:
-estimation
-adding, subtracting and multiplying in columns
-long division
-rounding off and compensating
-using a calculator
Week / Topic / Concept & Skills
WEEK 2 / Whole numbers / Lesson 3: Solving problems involving whole numbers
Solve problems involving whole numbers, including:
- comparing two or more quantities of the same kind (ratio)
- comparing two quantities of different kinds (rate)
- sharing in a given ratio where the whole is given
- increasing or decreasing of a number in a given ratio
Lesson 4: Solving problems involving whole numbers
Percentages and decimal fractions in financial contexts such as:
- profit,
- loss,
- discount,
- VAT,
- budgets,
- accounts,
- loans,
- simple interest,
- hire purchase, and
- exchange rates
Week 3 / Integers / Lesson 1:Counting, ordering and comparing integers
Count forwards and backwards in integers for any interval
Recognise order and compare integers.
Perform addition and subtraction with integers. / 4% - 7%
Lesson 2: Calculations with integers
Perform multiplication and division with integers.
Perform calculations involving all four operations with integers.
Recognise and use commutative, associative and distributive properties of addition and multiplication for integers.
Lesson 3: Calculations with integers
Recognize and use additive and multiplicative inverses for integers.
Perform calculations involving all four operations with numbers that involve the squares, cubes, square roots and cube roots of integers.
Lesson 4:
Solve problems in the contexts involving multiple operations with integers
Week 4 / Exponents / Lesson 1:Comparing and representing numbers in exponential form.
Compare and represent numbers in scientific notation, limited to positive exponents Compare and represent integers in exponential form.
Establish general law of exponents limited to natural number exponent:
/ 10 - 13%
Lesson 2: Comparing and representing numbers in exponential form
Establish general law of exponents limited to natural number exponent:
Establish general law of exponents limited to natural number exponent:
Establish the general laws of exponents, limited to natural number exponents: and
Lesson 3:Comparing and representing numbers in exponential form
- Recognise and use the appropriate laws of operations using numbers involving exponents and square and cube roots
- Perform calculations involving all four operations with numbers that involve squares, cubes, square roots and cube roots of integers
Lesson 4:Comparing and representing numbers in exponential form
Calculate the squares, cubes , square roots and cube roots of rational numbers
Solve problems in context involving numbers in exponential form
Week / Topic / Concept & Skills
Week 5
Numeric and Geometric patterns
Functions and Relationships / Lesson 1:Numeric patterns
- investigate and extend numeric and geometric patterns looking for relationships between numbers, including patterns:
-of learner’s own creation.
-represented in table
-represented algebraically
-in physical or diagram form
- describe and justify the general rules for observed relationships between numbers in own words or algebraic language
Lesson 2: Geometric patterns
Describe and justify the general rules for observed relationships in geometric patterns in own words or in algebraic language.
Lesson 3:Input and output values
Determine the input values, output values and rules for patterns and relationships using flow diagrams.
Week / Topic / Concept & Skills
Functions and Relationships / Lesson 4:Input and output values
Determine the input values, output values or rules for patterns and relationships using tables. / 19- 21%
Week 6 / Algebraic Expressions / Lesson 1:Algebraic language
- Recognize and interpret rules or relationships represented in symbolic form
- Recognize and identify conventions for writing algebraic expressions
Lesson 2:
- Identify variables and constants in given formulae and equations,
- Recognise and identify coefficients and exponents in algebraic expressions,
- Identify and classify like and unlike terms in algebraic expressions.
Lesson 3:Expand and simplify algebraic expressions
- use commutative, associative and distributive laws for rational numbers of exponents to add and subtract like terms in algebraic expressions
Lesson 4:
Use commutative, associative and distributive laws for rational numbers and laws of exponents to:
- determine squares, cubes, square roots and cube roots of single algebraic terms or like algebraic terms
- determine the numerical value of algebraic expressions by substitution.
Week 7 / Algebraic Equations / Lesson 1:Setting up equations
- Set up equations to describe a problem situation
- Analyse and interpret equations that describe a given situation
Lesson 2:Solving equations by inspection
- identify variables and constants in given formulae or equations
- solve equations by inspection
Lesson 3:Solving equations by inspection
Solve equations by inspection
Formal Assessment: Test (End of the Term)
Important considerations:
- Include Multiple Choice Questions.
- Ensure coverage of Cognitive levels as prescribed in CAPS p157.
- Ensure that the questions are grade-appropriate.
- The test and the memo should be moderated.