All subjects

Mathematical Reasoning

6 topics · 15 lessons

Part 1 of 2

Quantitative Problem Solving

45%

Number Sense

4
1

Integer Operations

Add, subtract, multiply, and divide integers including negative numbers.

Foundation45 min
2

Fractions, Decimals & Percents

Convert and compute with fractions, decimals, and percentages.

Core60 min
3

Ratios & Rates

Understand and apply ratios, unit rates, and proportional reasoning.

Core50 min
4

Percent Problems

Solve percent change, percent of a number, and real-world percent applications.

Core45 min

Data and Statistics

2
5

Data Analysis & Central Tendency

Calculate mean, median, mode, and interpret data displays.

Core55 min
6

Probability

Compute and interpret basic and compound probability.

Advanced55 min

Geometric Measurement

3
7

Area, Perimeter & Volume

Calculate area, perimeter, surface area, and volume of 2D and 3D figures.

Core70 min
8

Pythagorean Theorem

Apply the Pythagorean theorem and distance formula.

Advanced50 min
9

Coordinate Geometry

Work with the coordinate plane, midpoints, and transformations.

Advanced55 min

Part 2 of 2

Algebraic Reasoning

55%

Expressions and Polynomials

2
10

Algebraic Expressions

Write, simplify, and evaluate algebraic expressions.

Core55 min
11

Polynomial Operations

Add, subtract, multiply, and factor polynomials.

Advanced70 min

Equations and Inequalities

2
12

Linear Equations

Solve one-variable and two-variable linear equations.

Core60 min
13

Inequalities & Systems

Solve linear inequalities and systems of equations.

Advanced65 min

Graphs and Functions

2
14

Slope & Linear Graphs

Calculate slope, interpret graphs, and write linear equations.

Core60 min
15

Quadratic Functions

Graph, solve, and interpret quadratic equations and parabolas.

Challenge75 min

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