# SHS 1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 16 concepts ready. In the app: https://ai.page/roadmap/gh-nacca-shs-1 Part of: [NaCCA: Mathematics](https://ai.page/roadmap/gh-nacca.md) Goal: Senior High School curriculum (NaCCA): Mathematics, SHS 1 ## 1. NUMBERS FOR EVERYDAY LIFE · REAL NUMBER SYSTEM - [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers ## 2. NUMBERS FOR EVERYDAY LIFE · PROPORTIONAL REASONING - [Percentages as Fractions](https://ai.page/c/percentages-as-fractions/index.md): Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100% ## 3. ALGEBRAIC REASONING · APPLICATIONS OF EXPRESSIONS, EQUATIONS AND INEQUALITIES - [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations ## 4. ALGEBRAIC REASONING · Linear Equations and Inequalities - [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients ## 5. Mathematics - [Simple formulae](https://ai.page/c/simple-formulae/index.md): Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable - [Scatter Graphs & Correlation](https://ai.page/c/scatter-graphs-and-correlation/index.md): Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions - [Measuring angles (age 11+)](https://ai.page/c/measuring-angles-age-11/index.md): Draw and measure line segments and angles accurately using ruler and protractor, and interpret scale drawings to extract real measurements - [Angle sums in triangles and polygons](https://ai.page/c/angle-sums-in-triangles-and-polygons/index.md): Derive and use the angle sum in a triangle (180°), use it to deduce the angle sum in any polygon ((n−2) × 180°), and calculate interior and exterior angles of regular polygons - [Trigonometry basics](https://ai.page/c/trigonometry-basics/index.md): Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem ## 6. ALGEBRAIC REASONING · PATTERNS AND RELATIONS - [Linear Function Graphs](https://ai.page/c/linear-function-graphs/index.md): Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context ## 7. GEOMETRY AROUND US · SPATIAL SENSE - [Angles with parallel lines](https://ai.page/c/angles-with-parallel-lines/index.md): Understand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side interior) angles; use these to find unknown angles ## 8. GEOMETRY AROUND US · MEASUREMENT - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original ## 9. GEOMETRY AND MEASUREMENT · Measurements - [Circles: Circumference & Area](https://ai.page/c/circles-circumference-and-area/index.md): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts ## 10. DATA - [Pictograms and tally charts (age 11+)](https://ai.page/c/pictograms-and-tally-charts-age-11/index.md): Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing appropriate representations for the data type - [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers ## 11. MAKING SENSE OF AND USING DATA · PROBABILITY/CHANCE - [The Probability Scale](https://ai.page/c/the-probability-scale/index.md): Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and impossible ## Health: 0 of 100 Of its 16 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Number Sets & Infinity has no explanation yet - Percentages as Fractions has no explanation yet - Algebraic Transformations comes before Solving Linear Equations, which it needs - Algebraic Transformations has no explanation yet - Solving Linear Equations has no explanation yet - Simple formulae has no explanation yet - Scatter Graphs & Correlation comes before Comparing measurements, which it needs - Scatter Graphs & Correlation has no explanation yet - Measuring angles (age 11+) has no explanation yet - Angle sums in triangles and polygons has no explanation yet - Trigonometry basics has no explanation yet - Linear Function Graphs has no explanation yet - Angles with parallel lines has no explanation yet - Coordinate Transformations has no explanation yet - Circles: Circumference & Area has no explanation yet - Pictograms and tally charts (age 11+) has no explanation yet - Comparing measurements has no explanation yet - The Probability Scale has no explanation yet Credit: The structure of Senior High School curriculum (NaCCA): Mathematics (https://nacca.gov.gh/secondary-education-curriculum/); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.