Online First Year Maths Help for Your Child

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First Year Maths Topics

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1. Number Theory

1.1 Divisibility Rules
1.2 Determining Common Factors
1.3 Determining Common Multiples
1.4 Introduction to exponents

2. Adding and Subtracting Integers

2.1 Introduction to integer addition
2.2 Adding integers
2.3 Introduction to integer subtraction
2.4 Subtracting integers
2.5 Application of integer operations

3. Multiplying and Dividing Integers

3.1 Understanding integer multiplication
3.2 Multiplying integers
3.3 Understanding integer division
3.4 Dividing integers
3.5 Applications of integer operations

4. Operations with Decimals

4.1 Adding and subtracting decimals
4.2 Multiplying decimals
4.3 Dividing decimals
4.4 Order of operations (BIDMAS)

5. Adding and Subtracting Fractions

5.1 Using models to add and subtract fractions
5.2 Adding fractions with like denominators
5.3 Subtracting fractions with like denominators
5.4 Adding and subtracting fractions with unlike denominators
5.5 Adding and subtracting mixed numbers

6. Multiplying and Dividing Fractions

6.1 Multiplying fractions and whole numbers
6.2 Dividing fractions with whole numbers
6.3 Multiplying proper fractions
6.4 Multiplying improper fractions and mixed numbers
6.5 Dividing fractions and mixed numbers
6.6 Applications of fraction operations

7. Rational Numbers

7.1 Comparing and ordering rational numbers
7.2 Solving problems with rational numbers in decimal form
7.3 Solving problems with rational numbers in fraction form
7.4 Determine square roots of rational numbers

8. Powers, and Exponents

8.1 Using exponents to describe numbers
8.2 Exponent rules
8.3 Order of operations with exponents
8.4 Using exponents to solve problems

9. Number System and Radicals

9.1 Understanding the number systems
9.2 Prime factorization
9.3 Greatest Common Factors (GCF)
9.4 Least Common Multiple (LCM)
9.5 Rational vs. Irrational numbers
9.6 Converting repeating decimals to fractions

10. Ratios, Rates, and Proportions

10.1 Ratios
10.2 Rates
10.3 Proportions

11. Pythagorean Theorem

11.1 Squares and square roots
11.2 Pythagorean theorem
11.3 Estimating square roots
11.4 Using the pythagorean relationship
11.5 Applications of pythagorean theorem

12. Proportional Relationships

12.1 Identifying proportional relationships
12.2 Understanding graphs of proportional relationships
12.3 Graphing and writing equations of proportional relationships
12.4 Applications of proportional relationships

13. Fractions, Decimals, and Percents

13.1 Representing percents
13.2 Percent of a number
13.3 Converting among fractions, decimals, and percents
13.4 Applications of percents
13.5 Taxes, discounts, tips and more
13.6 Simple interest

14. Measuring Systems

14.1 Metric systems
14.2 Imperial systems
14.3 Conversions between metric and imperial systems
14.4 Conversions involve squares and cubic

15. Coordinates, Quadrants, and Transformations

15.1 Cartesian plane
15.2 Draw on coordinate planes
15.3 Introduction to transformations
15.4 Horizontal and vertical distances

16. Linear Equations

16.1 Model and solve one-step linear equations: ax = b, x/a = b
16.2 Solving two-step linear equations using addition and subtraction: ax + b = c
16.3 Solving two-step linear equations using multiplication and division: x/a + b = c
16.4 Solving two-step linear equations using distributive property: a(x + b) = c

17. Linear Inequalities

17.1 Express linear inequalities graphically and algebraically
17.2 Solving one-step linear inequalities
17.3 Solving multi-step linear inequalities
17.4 Compound inequalities

18. Linear Functions

18.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
18.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
18.3 Gradient equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
18.4 Gradient intercept form: y = mx + b
18.5 General form: Ax + By + C = 0
18.6 Gradient-point form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
18.7 Rate of change
18.8 Graphing linear functions using table of values
18.9 Graphing linear functions using x- and y-intercepts
18.10 Graphing from gradient-intercept form y=mx+b
18.11 Graphing linear functions using a single point and gradient
18.12 Word problems of graphing linear functions
18.13 Parallel and perpendicular lines in linear functions
18.14 Applications of linear relations

19. Geometry and Measurement

19.1 Parallel and perpendicular line segments
19.2 Perpendicular bisectors
19.3 Angle bisectors

20. Angles, Lines, and Transversals

20.1 Pairs of lines and angles
20.2 Parallel lines and transversals
20.3 Parallel line proofs
20.4 Perpendicular line proofs

21. Properties of triangles

21.1 Classifying triangles
21.2 Isosceles and equilateral triangles

22. Circles

22.1 Circles and circumference
22.2 Arcs of a circle
22.3 Areas and sectors of circles

23. Symmetry and Surface Area

23.1 Line symmetry
23.2 Rotational symmetry and transformations
23.3 Surface area of 3-dimensional shapes

24. Introduction to 3-Dimensional Figures

24.1 Introduction to surface area of 3-dimensional shapes
24.2 Nets of 3-dimensional shapes
24.3 Surface area of prisms
24.4 Surface area of cylinders

25. Volume

25.1 Introduction to volume
25.2 Volume of prisms
25.3 Volume of cylinders
25.4 Word problems relating volume of prisms and cylinders

26. Data and Graphs

26.1 Reading and drawing bar graphs
26.2 Reading and drawing histograms
26.3 Reading and drawing line graphs
26.4 Box-and-whisker plots and scatter plots
26.5 Stem-and-leaf plots
26.6 Pie charts
26.7 Reading and drawing Venn diagrams
26.8 Frequency tables and dot plots

27. Statistics

27.1 Median and mode
27.2 Mean
27.3 Range and outliers
27.4 Application of averages

28. Introduction to Probability

28.1 Introduction to probability
28.2 Organizing outcomes
28.3 Probability of independent events
28.4 Comparing experimental and theoretical probability

28 Chapters · 130 Topics · 1138 Videos

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