How to learn First level: Mathematics
Curriculum for Excellence: experiences and outcomes: Mathematics, First level
0 of 26 concepts ready to learn · Markdown, for your AI
1. Number, money and measure · Estimation and rounding
- Estimating by rounding: Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning
2. Number, money and measure · Number and number processes including addition, subtraction, multiplication, division and negative numbers
- Money Addition & Subtraction: Solve simple money problems involving addition and subtraction, including giving change
- Mental and written addition and subtraction: Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures
3. Number, money and measure · Fractions, decimal fractions and percentages including ratio and proportion
- Fractions of amounts: Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity
- Unit fractions: Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
- Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
- Decimal & Percent Notation: Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value
- Fractions, Decimals & Percentages: Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically
4. Number, money and measure · Money
- Estimating and comparing money: Estimate, compare, and calculate different measures including money in pounds and pence
- Adding money and giving change: Find different combinations of coins that equal the same amount of money
5. Number, money and measure · Time
- Telling time to the minute (age 7+): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation
- Days, Weeks, Months & Years: Recognise and use language relating to dates, including days of the week, weeks, months, and years
- Comparing Time Durations: Compare durations of events and calculate the time taken by particular events or tasks
6. Number, money and measure · Measurement
- Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
- Comparing lengths by measuring: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
- Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
- Area (age 8+): Measure areas by counting unit squares (square cm, square m, square in, square ft)
7. Number, money and measure · Patterns and relationships
- Patterns & Sequences: Order and arrange combinations of mathematical objects in patterns and sequences
8. Shape, position and movement · Properties of 2D objects and shapes and 3D shapes and 3D objects
- 2-D shapes: Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
- Building with 3-D Shapes: Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes from component shapes
9. Shape, position and movement · Angle, symmetry and using technology
- Turns & Directions: Describe movement and direction, including whole, half, quarter, and three-quarter turns
- Position, direction, and movement: Use mathematical vocabulary to describe position, direction, and movement, including straight lines and distinguishing rotation as a turn in terms of right angles (quarter, half, three-quarter turns, clockwise and anti-clockwise)
10. Shape, position and movement · Angle, symmetry transformation
- Transformations on a grid: Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size
11. Information handling · Data and analysis
- Pictograms and tally charts (age 6+): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data
- Sorting Data into Categories: Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity
12. Information handling · Ideas of chance
- Likelihood Language: Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible