S1 Mathematics (Level 3 with benchmarks) Course Plan

Curriculum Area:
Whole Numbers and Integers
Curriculum for Excellence ‘Benchmark’
Solving addition, subtraction, multiplication and division problems*
Working with squares and square roots
Using and finding powers of numbers*
Identifying multiples and least common multiple*
Identifying factors and highest common factor*
Identifying prime numbers below 100*
Solving problems by adding and subtracting negative numbers*
Solving problems by multiplying and dividing negative numbers*
Knowing and using the correct order of operations

Curriculum Area:
Decimals and Rounding
Curriculum for Excellence ‘Benchmark’
Solving addition, subtraction, multiplication and division problems up to three decimal places*
Multiplying decimals by 10, 100, 1000
Multiplying decimals by a single digit
Rounding decimal fractions to up to three decimal places*
Rounding to a given number of significant figures
Using scientific notation

Curriculum Area:
Fractions
Curriculum for Excellence ‘Benchmark’
Calculating any fraction of a number
Finding equivalent fractions
Simplifying fractions
Converting from top heavy (improper) fractions to mixed numbers and vice versa*
Adding and subtracting fractions, including changing denominator*
Multiplying and dividing fractions

Curriculum Area:
Percentages
Curriculum for Excellence ‘Benchmark’
Finding a given percentage of a number with and without a calculator
Increasing and decreasing a quantity by a percentage
Calculating one number as a percentage of another
Working with the equivalence of fractions, decimals and percentages*
Solving problems with percentages

Curriculum Area:
Block 1  Time, Distance, Speed
Curriculum for Excellence ‘Benchmark’
Calculating time intervals across minutes, hours and days*
Working with fractions of seconds
Calculating average speed, distance and time*
Solving problems using Speed, Distance and Time
DistanceTime graphs

Curriculum Area:
Symmetry
Curriculum for Excellence ‘Benchmark’
Create symmetrical patterns by:*
Completing symmetrical shapes using line symmetry (including diagonal reflection)
Completing symmetrical shapes using rotational symmetry

Curriculum Area:
Impact of Maths
Curriculum for Excellence ‘Benchmark’
Historical Mathematician Project or Mini Talk on a Mathematical subject*

Curriculum Area:
Angles
Curriculum for Excellence ‘Benchmark’
Using and calculating complementary angles (add to 90^{o}) and supplementary angles (add to 180^{o})
Identifying and using vertically opposite, corresponding (F) angles and alternate (Z) angles*
Using the sum of the angles in a triangle (180^{o})*

Curriculum Area:
Block 2  Information Handling
Curriculum for Excellence ‘Benchmark’
Interpreting data and graphs, including describing trends*
Determine if data is robust, vague or misleading*
Interpreting and creating pie charts
Interpreting and creating stem and leaf diagrams
Interpreting and creating scattergraphs
Calculating the probability of a simple event*
Understanding and using the link between frequency and probability*
Using frequency tables with grouped data
Calculating the mean, median, mode and range of a data set

Curriculum Area:
Algebra
Curriculum for Excellence ‘Benchmark’
Collecting like terms to simplify algebraic expressions*
Evaluating expressions and formulae by substituting both positive and negative values*
Expanding single sets of brackets
Factorising expressions by finding a common factor
Solving one and two step linear equations*
Solving simple inequalities
Solving equations with xs on both sides
Solving equations involving brackets
Solving equations involving fractions
Forming equations in order to solve problems

Curriculum Area:
Coordinates and Geometry
Curriculum for Excellence ‘Benchmark’
Using x and y axes to plot points in four quadrants
Describing sets of points
Constructing triangles and other 2D shapes using a ruler, compasses and protractor*

Curriculum Area:
Block 3  Measurement & Shape
Curriculum for Excellence ‘Benchmark’
Calculating the perimeter of simple shapes
Investigating the properties of the rhombus, kite, parallelogram and trapezium
Investigating types of triangles (equilateral, isosceles, scalene)
Calculating areas of rectangles, triangles and compound shapes*
Calculating the areas of other quadrilaterals
Calculating the circumference of a cirle
Solving problems involving weight/mass using tonnes, kg, g
Solving problems involving capacity using litres and ml
Calculating the volume of cubes, cuboids and other prisms*
Calculating the surface area of a cuboid
Using and converting between appropriate units for length, area and volume*

Curriculum Area:
Scale and Direction
Curriculum for Excellence ‘Benchmark’
Using a linear scale factor to enlarge and reduce shapes*
Working with three figure bearings*
Making scale drawings*
Using scale given as a ratio

Curriculum Area:
Formulae and Sequences
Curriculum for Excellence ‘Benchmark’
Investigating square numbers, cubic numbers and triangular numbers
Investigating Fibonacci sequences and other sequences
Describing numerical patterns in words
Using symbols to describe a pattern using a formula*

Curriculum Area:
Block 4  Money
Curriculum for Excellence ‘Benchmark’
Completing budgeting tasks, using digital technology where appropriate*
Comparing financial products and other services and finding the best value for money*
Understanding the terms debit, credit, APR, per annum, direct debit, standing order, interest rate*
Converting between different currencies*

Curriculum Area:
3D Shape
Curriculum for Excellence ‘Benchmark’
Comparing 3D solids in terms of vertices, edges and faces
Isometric drawing of 3D Solids
Investigating the link between 3D solids and their nets

Curriculum Area:
Ratio and Proportion
Curriculum for Excellence ‘Benchmark’
Expressing quantities as ratios*
Sharing quantities in a given ratio
Solving problems involving direct proportion
Solving problems involving inverse proportion