Mathematics Units Overview: Directed Numbers, Sequences, Algebraic Notation, Equality & Equivalence, Place Value
In this comprehensive mathematics curriculum, explore topics such as directed numbers, sequences, algebraic notation, equality, equivalence, and place value. Dive into evaluating and comparing directed numbers, solving equations, understanding sequences, and more.
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Unit 1 - Directed number 1 2 3 4 5 6 7 8 9 10 Code DN-1 DN-2 DN-3 DN-4 DN-5 DN-6 DN-7 DN-8 DN-9 DN-10 Evaluating expressions with directed number Comparing directed number in a context Applied Addition and Subtraction with DN Fact family with directed number Multiplicatio n and Division with DN Substituting using directed number Comparing directed number Adding and Subtracting with DN Square roots of directed number Indices and directed number Name 2 2 2 2 2 2 4 2 1 1
Unit 2 - Sequences 1 2 3 4 5 6 7 8 9 Code S1-1 S1-2 S1-3 S1-4 S1-5 S1-6 S1-7 S1-8 S1-9 Problem solving Deeper Continue a Picture Sequence Continue a number Sequences Linear and non linear Sequence Continue non- linear Sequence Finding terms in quadratic sequences Finding the nth term of a given sequence understanding of algebraic sequences Predict a term in a Sequence involving using nth terms Name 2 3 2 1 2 2 2 2 3 2
Unit 3 - Algebraic Notation 1 2 3 4 5 6 7 8 9 10 11 Code AN-1 AN-2 AN-3 AN-4 AN-5 AN-6 AN-7 AN-8 AN-9 AN-10 AN-11 Writing an expression from a function machine Function machines (input/functi on) Finding the value of a given expressions Substitution with directed number Function machines (output) Finding the inverse function Understandi ng order of operations Evaluating expressions/ sequences Simplifying expressions Evaluating expressions Function machines Name 2 3 1 1 2 1 3 2 1 1 3 3
Unit 4 - Equality and Equivalence 1 2 3 4 5 6 7 8 9 10 Code EE-1 EE-2 EE-3 EE-4 EE-5 EE-6 EE-7 EE-8 EE-9 EE-10 Forming and solving an equation Finding equivalent expressions Simplifying by collecting like terms Fact family (diagram) Fact family (diagram) Solving equations Forming an equation Collecting like terms Simplifying an expression Equivalent expressions Name 2 2 4 1 2 2 2 3 1 1 4
Unit 5 - Place Value 1 2 3 4 5 6 7 8 Code PV-1 PV-2 PV-3 PV-4 PV-5 PV-6 PV-7 PV-8 Comparing numbers (decimals/millio ns/fractions) Finding the range/median of a group of numbers Rounding to the whole number/significa nt figure Finding a number on a number line Problem solving with the range/median Understanding place value Understanding place value Understanding powers of 10 Name 2 3 2 3 3 3 2 2 5
Unit 6- Solving problems addition & Subtraction 1 2 3 4 5 6 7 8 9 10 11 Code AS-1 AS-2 AS-3 AS-4 AS-5 AS-6 AS-7 AS-8 AS-9 AS-10 AS-11 Finding the next term in a sequence with fractions and decimals Flexible thinking for addition and subtraction Problem solving with addition and subtraction Finding the missing numbers on a number line Addition using place value counters Completing a bar model representat ion Addition and subtraction with money Finding the perimeter of a rectangle Addition with standard form Completing a frequency tree Finding the perimeter of a triangle Name 2 2 1 2 2 2 2 2 2 2 1 6
Unit 7 - Solving problems Multiplication & Division 1 2 3 4 5 6 7 8 9 10 11 Code MD-1 MD-2 MD-3 MD-4 MD-5 MD-6 MD-7 MD-8 MD-9 MD-10 MD-11 Finding the area of a rectangle and parallelogra m Multiplying a 3 digit by 1 digit/dividin g a 4 digit by 1 digit Completing a Venn diagram using facts about factors Finding the area of a trapezium using algebraic terms Reasoning with multiplicatio n and division Working out a multiplicatio n worded problem Understandi ng units of measureme nt to find equivalence Multiplying a whole number with a decimal Finding the mean of a set of numbers Understandi ng order of operations Substituting into an expression Name 2 2 2 2 2 2 2 3 1 1 1 7
Unit 8 - FDP equivalence 1 2 3 4 5 6 7 8 9 10 Code FDP-1 FDP-2 FDP-3 FDP-4 FDP-5 FDP-6 FDP-7 FDP-8 FDP-9 FDP-10 Comparing fractions (different denominators ) Finding a fraction/deci mal from a diagram Comparing fractions, decimals and percentages Comparing fractions and decimals on a number line Finding a percentage from a pie chart Finding equivalent fractions and decimals Shading in a fraction of a shape finding equivalent fractions Finding terms in a sequence with FDP Ordering fractions Name 2 3 3 2 1 2 1 2 2 2 8
Unit 9 - Addition and subtraction of fractions 1 2 3 4 5 6 7 8 9 10 11 12 Code ASF-1 ASF-2 ASF-3 ASF-4 ASF-5 ASF-6 ASF-7 ASF-8 ASF-9 Evaluating and comparing with fractions and decimals ASF-10 ASF-11 ASF-12 Converting mixed numbers into improper fractions Adding and subtracting fractions (mixed numbers) Solving worded problems with mixed numbers Understan ding equal parts of a fraction Fractions on a number line Adding fractions and decimals Substitutin g fractions into expressions Finding equivalent fractions Adding and subtracting fractions Adding mixed numbers adding algebraic fractions Name 1 1 2 3 1 2 2 1 2 2 2 1 9
Unit 10 - Fractions & percentages of amounts 1 2 3 4 5 6 7 8 Code FP-1 FP-2 FP-3 FP-4 FP-5 FP-6 Using a FP-7 FP-8 Comparing a fraction of an amount with a percentage of an amount Finding a percentage of a fraction of an amount calculator when finding a percentage of an amount Finding a fraction of an amount Finding a percentage of an amount Fraction and percentage equivalence Percentage worded problem Fraction worded problem Name 5 3 3 4 2 1 1 1 10
Unit 11 - Sets and Probability 1 2 3 4 5 6 7 8 Code SP-1 SP-2 SP-3 SP-4 Find the probability from a frequency table SP-5 SP-6 SP-7 SP-8 Complete a Venn diagram and understand set notation Calculate probability given other probabilities Find the probability from a given set Finding Understanding complements of a set List the elements of a set probability on a scale Understand sets Name 3 2 2 3 4 2 3 1 11
Unit 12 - Geometric reasoning 1 2 3 4 5 6 7 8 9 Code GR-1 Gr-2 GR-3 GR-4 GR-5 GR-6 GR-7 GR-8 GR-9 Reason with angles in an isosceles triangle Recognising vertically opposite angles Angles in a quadrilateral and straight line Find a missing angle on a straight line Find a missing angle in a triangle Reason with angles about a point Using algebraic angles in a triangle Find angles in parallel lines (multi-step) Angles in a regular hexagon Name 2 2 2 2 2 3 2 3 2 12
