New general mathematics for junior secondary schools

Here are some new general mathematics topics that are commonly taught in junior secondary schools (around 7th to 9th grade):

Number Systems

  1. Decimals and fractions: operations, equivalent ratios, and simplification
  2. Percentages: calculating percentages, percentage increase/decrease, and percentage change
  3. Ratios and proportions: equivalent ratios, scaling, and proportions

Algebra

  1. Linear equations: solving linear equations in one variable, graphing linear equations, and solving systems of linear equations
  2. Quadratic equations: solving quadratic equations using factoring, quadratic formula, and graphing
  3. Functions: domain, range, and composition of functions

Geometry

  1. Properties of shapes: congruent and similar shapes, angles, and symmetry
  2. Measurement: perimeter, area, and volume of various shapes, including triangles, quadrilaterals, polygons, and 3D shapes
  3. Spatial reasoning: visualizing and solving problems involving 2D and 3D shapes

Data Analysis and Statistics

  1. Data collection and representation: collecting, organizing, and displaying data using tables, graphs, and charts
  2. Measures of central tendency: mean, median, mode, and range
  3. Data interpretation: analyzing and interpreting data to answer questions and solve problems

Measurement and Conversion

  1. Units of measurement: converting between units of length, mass, capacity, and time
  2. Conversion between units: converting between different units of measurement
  3. Problem-solving: using measurement and conversion skills to solve real-world problems

Word Problems

  1. Real-world applications: using mathematical concepts to solve word problems in various contexts, such as finance, science, and everyday life
  2. Problem-solving strategies: using logical reasoning, estimation, and mathematical modeling to solve word problems

Other Topics

  1. Patterns and relationships: identifying and extending patterns, and recognizing relationships between mathematical concepts
  2. Mental math: developing mental math skills, including calculations, estimation, and problem-solving
  3. Mathematical modeling: using mathematical concepts to model real-world situations and solve problems

These topics are not exhaustive, and the specific curriculum may vary depending on the country, region, or school. However, this gives you an idea of the types of topics that are commonly taught in junior secondary school mathematics classes.