How to learn Grade 8: Mathematics
Missouri academic standards: Mathematics, Grade 8
0 of 11 concepts ready to learn · Markdown, for your AI
1. Data, Statistics and Probability · Investigate patterns of association in bivariate data.
- Scatter Graphs & Correlation: 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
2. Functions · Use functions to model relationships between quantities.
- Ratio Notation and Relationships: Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios
- Linear Function Graphs: 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
3. Geometry and Measurement · Solve problems involving volume of cones, pyramids and spheres.
- Circles: Circumference & Area: 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
4. Geometry and Measurement · Understand and apply the Pythagorean Theorem.
- Types of angles (age 13+): Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts
5. Geometry and Measurement · Understand congruence and similarity using physical models, transparencies or geometry software.
- Coordinate Transformations: 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
6. Expressions, Equations and Inequalities · Analyze and solve linear equations and inequalities and pairs of simultaneous linear equations.
- Solving Linear Equations: 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
- Simultaneous Equations: Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
- Numbers on a number line: Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations
7. Expressions, Equations and Inequalities · Understand the connections between proportional relationships, lines and linear equations.
- Angles with parallel lines: 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. Expressions, Equations and Inequalities · Work with radicals and integer exponents.
- Expressions & Equations Vocabulary: Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)