## Description

Author: Karelien Kriel

Number or pages: 312 (boek) + 187 (memo)

Number or activities: 43

Types or book: TEXT BOOK (fill in Activity Book) that covers the whole term’s CAPS work

Philosophy: Thinking Tools

Printing: back-to-back and bind with ring binder (1 book) or use stapler (make 2 packs)

**Activity 1**: numbers systems; definition and examples; brace map; circle map; natural numbers; counting numbers; integers; rational numbers; irrational numbers; integers; order of operations; brace map; number bonds of 10; circle map; double; halve; bridge maps; number walls

**Activity 2**: integers; order of operations; flow maps;

**Activity 3**: integers; addition of 6-digit numbers; tree maps; columns

**Activity 4**: integers; subtraction of 6-digit numbers; tree maps; columns

**Activity 5**: integers; multiplication of 4-digit numbers with 2-digit numbers; multi flow maps; tree maps; steps; columns

**Activity 6**: integers; division of 4-digit numbers with 2-digit numbers; multiples; multi flow maps; bridge maps; columns; steps

**Activity 7**: integers; factors; prime numbers; prime factors; Largest Common Factor (HCF); brace maps; multiples; Smallest Common Multiple (LCM); write the numbers as the product of their prime factors;

**Activity 8 – 9**: integers; word problems; ratio and rate; bridge maps; steps; flow maps; direct proportion; inverse proportion

**Activity 10**: Financial Mathematics; simple interest; compound interest; brace map; loan tables

**Activity 11**: integers; properties and laws; word problems; steps; flow maps

**Activity 12**: fractions; equivalent fractions; bridge maps; convert improper fractions to mixed numbers; flow maps; convert mixed numbers to improper fractions

**Activity 13**: addition and subtraction of fractions and mixed numbers; bridge maps; steps; brace maps

**Activity 14**: multiplication and division of fractions and mixed numbers; steps; brace maps

**Activity 15**: convert common fractions with denominators of 10, 100 and 1000 to decimal fraction; brace maps

**Activity 16**: convert common fractions to decimal fractions and percentages; brace maps; bridge maps; recurring fractions

**Activity 17**: integers, common fractions and decimal fractions; squared numbers and cubed numbers; circle maps; tree maps; brace map; number walls

**Activity 18**: operation with decimal fractions on calculator; word problems with fractions; steps; flow maps

**Activity 19**: powers; brace maps; exponent; base; coefficient; law 1; simplify

**Activity 20**: exponents; law 2 and 3; simplify

**Activity 21**: exponents; law 4, 5 and 6; simplify

**Activity 22**: summarise exponent laws in brace map; simplify

**Activity 23**: Scientific notation; very large numbers; very small numbers; conversion

**Activity 24 – 26**: number patterns; brace map; Geometrical patterns; pictures; tables; formulae; work forwards and backwards in flow maps; find the rule; find the formula

**Activity 27**: variables; pictures; addition; products; multiplication of brackets

**Activity 28**: factorising; common factors

**Activity 29**: factorising; common factors; prime factors; brace map;

**Activity 30**: factorising; binomials and trinomials with common factors; common brackets

**Activity 31**: factorising; put friends together and add brackets; common brackets; investigate swopping of signs

**Activity 32**: factorising; investigate swopping of sign and common brackets; investigate difference of squares

**Activity 33**: factorising; investigate factorising of trinomials (+)(+); brace map

**Activity 34**: factorising; investigate factorising of trinomials (–)(+) and (+)(–); brace maps

**Activity 35**: factorising; investigate factorising of trinomials (–)(–); brace maps; summarise all the rules for factorising binomials and trinomials

**Activity 36**: factorise

**Activity 37**: differences and similarities between expressions and equations in double bubble map; investigate solving simple equations; scales; solve x; multiple choice questions; four types of solutions for equations in brace map

**Activity 38**: inverse operations; brace map; investigate solution of equations – 1 term on one side and 2 terms on other side; investigate solution of equations – 2 terms on both sides; steps in brace map

**Activity 39**: solve equation

**Activity 40**: multiplication of brackets; solve equation with brackets

**Activity 41**: solve equation with fractions; investigate; steps in brace map

**Activity 42**: solve equation with powers and surds; word problems; geheime number; steps; flow maps

**Activity 43**: equations; word problems; age; steps; money sums; speed sums; summary in brace maps