🔢 8th grade Math: how to help at home

What each unit covers

1. 🟦Squares, Cubes & Roots

   Knowing perfect squares and cubes, finding square roots and cube roots, estimating where a square root falls between whole numbers, and linking squares to the area of a square.

2. 📈Patterns & Two-Step Equations

   Writing and evaluating expressions like 3n + 2, solving two-step equations, and finding the rule for a growing pattern or a cost made of whole items such as tickets.

3. 📐Pythagorean Theorem

   Finding a missing side of a right triangle, checking whether a triangle is a right triangle, and using the theorem for ladders and diagonals.

4. 📦Surface Area & Volume

   Finding surface area and volume of boxes, cubes, triangular prisms and cylinders, working backwards to a missing dimension, linking cm³ to milliliters, and recognizing nets and views of 3D objects.

5. 🔭Big, Small & Real Numbers

   Writing very large and very small numbers in scientific notation, telling rational from irrational numbers, ordering numbers such as √2 and π, and mentally multiplying and dividing by powers of ten.

6. 📈Scatter Plots & Stories

   Deciding when two-variable data is needed, picking the best graph, describing scatter plots as strong, weak, positive, negative or none, spotting outliers, and noticing graphs that mislead.

7. 🪞Tessellations & Transformations

   Why some shapes tessellate, naming the transformations in a tiling, and finding the image of a point after a translation, reflection, rotation or dilation on a coordinate grid.

8. 📐Angle Detective

   Using equal and supplementary angles when a transversal crosses parallel lines, and the angle sums of triangles, quadrilaterals and polygons, including exterior angles.

9. 📈Tables, Graphs & Linear Relations

   Using an equation like y = 3x + 2 to build a table of values, find a missing x or y, and describe how the variables change together.

10. 🧮Equations with Brackets

    Solving one-variable equations, including ones with brackets and negative numbers, checking by substitution, and spotting a common mistake with the distributive property.

11. 🔷Congruent Shapes

    Recognizing congruent shapes, matching corresponding sides and angles, and finding the coordinates of a point after a slide, flip or turn.

12. ⚡Exponent Rules

    Properties of integer exponents: multiplying and dividing powers with the same base, a power of a power, zero exponents and negative exponents.

13. ✖️Systems of Equations

    Solving pairs of linear equations, checking a solution, telling when a system has no solution or infinitely many, and simple word problems.

14. 🔀Functions

    Deciding whether a relation is a function, comparing two functions shown in different ways, spotting linear functions, and matching a graph to a story.

15. 🍦Cones, Cylinders & Spheres

    Using the volume formulas for cylinders, cones and spheres, in terms of π and with 3.14.

16. 📈Slope & Rate of Change

    Finding slope from two points or a table, reading slope as a unit rate, writing y = mx + b, and saying what the intercept means.

17. 🧮Two-Way Tables

    Reading two-way tables of survey data, finding relative frequencies (percents) in a row, and deciding whether two things seem to be linked.