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Secondary 1 Maths Topics

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1.Number Theory

1.1Divisibility Rules
1.2Prime factors
1.3Determining Common Factors
1.4Determining Common Multiples
1.5Introduction to Exponents

2.Adding and Subtracting Integers

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

3.Multiplying and Dividing Integers

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

4.Operations with Decimals

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

5.Adding and Subtracting Fractions

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

6.Multiplying and Dividing Fractions

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

7.Rational Numbers

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

8.Powers, Exponents and square roots

8.1Using exponents to describe numbers (free lessons)
8.2Exponent rules
8.3Order of operations with exponents
8.4Using exponents to solve problems
8.5Squares and square roots (free lessons)
8.6Estimating square roots (free lessons)

9.Ratios, Rates, and Proportions

9.1Ratios (free lessons)
9.2Rates
9.3Proportions

10.Proportional Relationships

10.1Understanding graphs of proportional relationships (free lessons)
10.2Graphing and writing equations of proportional relationships
10.3Applications of proportional relationships (free lessons)

11.Percents

11.1Percent of a number

12.Measuring Systems

12.1Metric systems (free lessons)
12.2Imperial systems
12.3Conversions between metric and imperial systems
12.4Conversions involve squares and cubic

13.Coordinates, Quadrants, and Transformations

13.1Cartesian plane
13.2Draw on coordinate planes
13.3Introduction to transformations
13.4Horizontal and vertical distances

14.Patterns

14.1Patterns

15.Patterns and Solving Equations

15.1Evaluating algebraic expressions
15.2Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
15.3Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c
15.4Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
15.5Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c

16.Linear Relations

16.1Understanding graphs of linear relationships (free lessons)
16.2Understanding tables of values of linear relationships
16.3Applications of linear relationships (free lessons)

17.Angles, Lines and Transversals

17.1Pairs of lines and angles
17.2Parallel lines and transversals
17.3Parallel line proofs
17.4Perpendicular line proofs (free lessons)
17.5Parallel and perpendicular line segments
17.6Perpendicular bisectors

18.Geometry of Polygons

18.1Classifying Triangles
18.2Using models to add and subtract fractions

19.Scale Factors and Similarity

19.1Enlargements and reductions with scale factors (free lessons)
19.2Scale diagrams
19.3Similar triangles
19.4Similar polygons

20.Surface Area of 3D Figures

20.1Introduction to surface area of 3-dimensional shapes (free lessons)
20.2Nets of 3-dimensional shapes
20.3Surface area of prisms
20.4Surface area of cylinders

21.Volume of 3-dimensional figures

21.1Introduction to volume
21.2Volume of prisms
21.3Volume of cylinders
21.4Word problems relating volume of prisms and cylinders

22.Data and Graphs

22.1Reading and drawing histograms
22.2Reading and drawing line graphs
22.3Box-and-whisker plots and scatter plots
22.4Median and mode
22.5Reading and drawing Venn diagrams
22.6Stem-and-leaf plots

23.Statistics

23.1Median and mode
23.2Mean
23.3Range and outliers
23.4Application of averages

24.Introduction to Probability

24.1Introduction to probability
24.2Organizing outcomes
24.3Probability of independent events
24.4Comparing experimental and theoretical probability
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