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Mathematical Reasoning

23 topics

544 videos · 123 Khan Academy articles

Part 1 of 2

Quantitative Problem Solving

45%

Number Sense

6
1

Fractions

Read, compare, and compute with fractions and mixed numbers, including unlike denominators.

88 videos · 4 articles
2

Decimals

Read place value and add, subtract, multiply, and divide decimals.

36 videos · 5 articles
3

Positive & negative numbers

Add, subtract, multiply, and divide signed numbers, and interpret absolute value.

26 videos · 9 articles
4

Factors & Multiples

Find factors, multiples, GCF, LCM, and prime factorisations.

10 videos · 3 articles
5

Exponents & roots

Apply exponent rules and evaluate square and cube roots.

30 videos · 12 articles
6

Scientific notation

Convert between standard and scientific notation and compute with it.

11 videos · 1 article

Ratios, Rates and Proportion

3
7

Ratios

Write and compare ratios and unit rates, and solve rate problems.

13 videos · 2 articles
8

Percentages

Calculate percent of a number, percent change, discount, markup, tax, and tip.

11 videos · 3 articles
9

Proportions

Set up and solve proportions, including scale and constant-of-proportionality problems.

28 videos · 1 article

Data and Statistics

5
10

Mean, median, mode, range

Calculate mean, median, mode, range, and weighted average, and judge the effect of outliers.

23 videos · 12 articles
11

Bar & circle graphs

Read and interpret bar graphs, circle graphs, and pictographs.

14 videos · 6 articles
12

Dot plots, histograms & box plots

Build and interpret dot plots, histograms, and box plots, including shape and spread.

20 videos · 5 articles
13

Scatter plots

Describe association in a scatter plot and use a line of best fit to make predictions.

30 videos · 11 articles
14

Probability

Find probabilities of simple and compound events, including independent and dependent events.

40 videos · 9 articles

Geometric Measurement

4
15

Area & perimeter

Calculate area and perimeter of rectangles, triangles, and composite figures.

21 videos · 3 articles
16

Surface area & volume

Calculate surface area and volume of prisms, cylinders, cones, spheres, and pyramids.

13 videos · 3 articles
17

Circles

Calculate circumference, area, radius, and diameter of circles.

6 videos · 2 articles
18

Pythagorean theorem

Apply the Pythagorean theorem to find missing side lengths in right triangles.

11 videos · 3 articles

Part 2 of 2

Algebraic Reasoning

55%

Expressions and Polynomials

1
19

Variables & expressions

Write, evaluate, and simplify algebraic expressions using the properties of operations.

14 videos · 3 articles

Equations and Inequalities

2
20

Solving equations & inequalities

Solve one- and two-step linear equations and inequalities, including word problems.

28 videos · 3 articles
21

Systems of equations

Solve systems of two linear equations by graphing, substitution, and elimination.

20 videos · 3 articles

Graphs and Functions

2
22

Slope & linear functions

Find slope and intercepts, and graph and interpret linear functions.

22 videos · 7 articles
23

Quadratic functions

Factor, solve, and graph quadratic expressions and functions.

29 videos · 13 articles

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